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Income from Bonds: The 1993 SNA Treatment Acknowledgements: The author thanks the following persons in the IMF Statistics Department for their very valuable comments: Edgar Ayales, Adriaan Bloem, Paul Cotterell, Carol Carson, Brian Donaghue, Claudia Dziobek, Cornelis Gorter, Michele Hassine, Robert Heath, Rainer Koehler, Russell Krueger, Thomas McLoughlin, Neil Patterson, Roger Pownall, Philippe de Rougemont, Armida San Jose, and Ethan Weisman; and Ms. Ellen Coughlin for copy-editing the text. Lucie Laliberté March 22, 2002 Abstract How to account for income on bonds for macroeconomic statistics has been a source of much controversy, with two main positions emerging: the debtor treatment, based on the contractual arrangements; and the creditor treatment, based on current interest rates and prices of assets/liabilities. Using the discounted cash flow model, this document explores how bond income is treated in the System of National Accounts (1993 SNA). The main findings are: 1. The debtor approach conforms with the 1993 SNA in recording income and other benefits from assets. The income is based on the terms agreed upon by contract, and the changes in the value of the assets are recorded as holding gains/losses and/or other volume changes, as applicable. 2. The creditor approach calculates income as if new arrangements were established according to current market values, and excludes certain changes in the market value of bonds. By excluding such changes, the creditor income also differs from that obtained from fair value accounting practices, where all changes in bonds are included as income. 3. Applying the creditor treatment to income in the 1993 SNA would blur the distinction that the System currently makes between transactions (reflecting economic decisions between institutional units) and other changes in assets.

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Page 1: Income from Bonds: The Treatment · Income from Bonds: The 1993 SNA Treatment Acknowledgements: The author thanks the following persons in the IMF Statistics Department for their

Income from Bonds: The 1993 SNA Treatment

Acknowledgements: The author thanks the following persons in the IMF Statistics Department for their very valuable comments: Edgar Ayales, Adriaan Bloem, Paul Cotterell, Carol Carson, Brian Donaghue, Claudia Dziobek, Cornelis Gorter, Michele Hassine, Robert Heath, Rainer Koehler, Russell Krueger, Thomas McLoughlin, Neil Patterson, Roger Pownall, Philippe de Rougemont, Armida San Jose, and Ethan Weisman; and Ms. Ellen Coughlin for copy-editing the text.

Lucie Laliberté

March 22, 2002

Abstract How to account for income on bonds for macroeconomic statistics has been a

source of much controversy, with two main positions emerging: the debtor treatment, based on the contractual arrangements; and the creditor treatment, based on current interest rates and prices of assets/liabilities. Using the discounted cash flow model, this document explores how bond income is treated in the System of National Accounts (1993 SNA).

The main findings are:

1. The debtor approach conforms with the 1993 SNA in recording income and other benefits from assets. The income is based on the terms agreed upon by contract, and the changes in the value of the assets are recorded as holding gains/losses and/or other volume changes, as applicable. 2. The creditor approach calculates income as if new arrangements were established according to current market values, and excludes certain changes in the market value of bonds. By excluding such changes, the creditor income also differs from that obtained from fair value accounting practices, where all changes in bonds are included as income. 3. Applying the creditor treatment to income in the 1993 SNA would blur the distinction that the System currently makes between transactions (reflecting economic decisions between institutional units) and other changes in assets.

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Introduction......................................................................................................................................................................... 3 I. Assets in an SNA Framework............................................................................................................................................ 4

Value of assets........................................................................................................................................................... 4 Holding gains/losses and other changes in volume ...................................................................................................... 5 Benefits from assets ................................................................................................................................................... 7 Return from assets ..................................................................................................................................................... 9

II. Interest Income on Bonds: The Debtor Principle ............................................................................................................. 10 Valuation of bonds................................................................................................................................................... 10 Holding gains/losses and other changes in volume on bonds...................................................................................... 12 Interest income ........................................................................................................................................................ 13 Return on bonds....................................................................................................................................................... 15

III. Interest Income on Bonds: The Creditor Treatment........................................................................................................ 16 A. Description of Bond Income Under the Creditor Approach........................................................................................ 16 B. Selected Premises of the Creditor Approach.............................................................................................................. 17

Other changes in the valuation of assets .................................................................................................................... 17 Liquidity of assets.................................................................................................................................................... 18 Monetary transactions .............................................................................................................................................. 19

C. How the Creditor Approach Would Affect the 1993 SNA........................................................................................... 20 IV. Conclusion................................................................................................................................................................... 21 Appendix 1:The 1993 SNA Treatment of Specific Assets..................................................................................................... 23

A. Produced Assets ....................................................................................................................................................... 23 A.1 Tangible Fixed Assets .................................................................................................................................... 23

Valuation of tangible fixed assets ............................................................................................................................. 23 Holding gains/losses and other volume changes on tangible fixed assets .................................................................... 24 Service from tangible fixed assets............................................................................................................................. 25 Return on tangible fixed assets ................................................................................................................................. 25 A.2 Intangible Fixed Assets ............................................................................................................................. 26

B. Nonfinancial Nonproduced Assets............................................................................................................................. 26 B.1 Tangible Nonproduced Assets ........................................................................................................................ 26

Valuation of tangible nonproduced assets.................................................................................................................. 26 Holding gains/losses and other volume changes on tangible nonproduced assets ........................................................ 27 Rent on tangible nonproduced assets......................................................................................................................... 27 Return on tangible nonproduced asset....................................................................................................................... 27

B.2 Intangible Nonproduced Assets ...................................................................................................................... 28 C. Financial Assets...................................................................................................................................................... 28 C.1 Loans ............................................................................................................................................................ 28

Valuation of loans .................................................................................................................................................... 28 Holding gains/losses and other changes in volume on loans....................................................................................... 29 Interest on loans....................................................................................................................................................... 31 Return from loans .................................................................................................................................................... 32

C.2 Equities ......................................................................................................................................................... 32 Valuation of equities ................................................................................................................................................ 32 Income from equities................................................................................................................................................ 32 Return from equities................................................................................................................................................. 33

D. Recapitulation of Rates Terminology for Contractual Assets..................................................................................... 33 Appendix 2:Illustration of Changes in the Value of Bond .................................................................................................... 35 Appendix 3: How IAS 39 Compares to the 1993 SNA ......................................................................................................... 38 References ......................................................................................................................................................................... 39

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Introduction

1. This paper explores the treatment of interest income from bonds in the System of National Accounts 19931 (1993 SNA). There have been many debates on how interest on bonds should be calculated, with two main positions emerging for recording interest income on bonds--i.e., either according to the original contractual terms of the financial asset (the debtor approach), or according to the market interest rate (the creditor approach). The fundamental difference between the two treatments is the determination of income, in particular the delineation between income, holding gains/losses, and other volume changes.

2. The debtor and creditor treatments give results that are different in a given period and/or over a period of time. Thus both cannot be accommodated in an integrated system, such as the 1993 SNA, or in the international methodological guidelines that are harmonized with the 1993 SNA.

3. The methodology adopted in the paper consists of first focusing the discussion on assets in general, with details on each asset presented in Appendix 1. The detailed discussion of assets further highlights the holistic nature of the 1993 SNA framework, where each asset maintains its own specificity while still being accounted for by common principles that tightly link the benefits that flow from assets with the valuation of the assets themselves. Second, all the assets are valued with the future returns model.2 Using a single model brings out the inherent interdependencies of the 1993 SNA without affecting the validity of the conclusions reached. This is achieved by recognizing the diversity of assets while leaving out complexities that are not relevant for the discussion.

4. Section I of the paper focuses on assets and the accounts (“other changes”3 and benefits flowing from assets) that are linked to assets. Section II describes the debtor approach to recording interest on bonds as presented in the 1993 SNA. Section III covers the creditor treatment of interest on bonds, exploring some of the points that have been raised in support of this treatment. Section IV presents a summary of the conclusions. 1 System of National Accounts 1993, prepared under the auspices of the Inter-Secretariat Working Group on National Accounts. References to the various paragraphs of the 1993 SNA are shown in parentheses throughout the paper.

2 The 1993 SNA (13.25 to 13.34) uses four methods to arrive at market valuation or acceptable proxy: observing prices in markets; accumulating and revaluing transactions; the present value of future returns; and, for options, the contingent claim valuation that uses an options pricing model to measure the value of assets that share options characteristics (see The new international standards for the statistical measures of financial derivatives, Changes to the text of the 1993 SNA, March 2000).

3 This not very elegant term refers to changes “other” than those due to transactions.

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5. Appendix 1 reviews the 1993 SNA treatment of specific assets, focusing on the recording of benefits that flow from assets. Appendix 2 provides an illustration of the changes in the value of a bond through its life. Appendix 3 summarizes the main differences between IAS 39,4 a standard in financial instruments from which the creditor treatment largely drew, and the 1993 SNA.

I. ASSETS IN AN SNA FRAMEWORK

6. This section illustrates the 1993 SNA’s consistency of treatment and integrated sequencing of accounts under the debtor principle. Assets are first defined and valued in terms of their expected benefits; an explanation is then provided of changes in assets other than from transactions and of the accounting of benefits that accrue from the assets for the current period. The return from assets, a concept not found in 1993 SNA, is introduced as a link to IAS 39. The same structure is used in section II on bonds and in Appendix 1 for the other assets.

Value of assets

7. Assets are entities that are subject to ownership rights and from which economic benefits can be derived. Assets can be produced (fixed assets, inventory, and valuables) or nonproduced (nonfinancial and financial). In other words, assets are heterogeneous, not only in nature but also regarding their age profile or the time of their creation (intangible assets). By valuing assets with the yardstick of current market, the 1993 SNA ensured that assets of various types are made comparable and additive at the specific point in time for which the common valuation applies.

8. According to the present value of future returns model, the value of the asset is equal to the sum of future benefits, often cash flows discounted by an appropriate discount rate. The resulting discounted cash flows are referred to as the present value of each cash flow. The formula is as follows: N Market value = Σ Expected Benefits t

t=1 (1 + r) t

where N is the number of years over which benefits are expected r is the discount rate

Present Value t = (Expected benefits t)/(1+ r) t

4 IAS stands for International Accounting Standards that are issued by the International Accounting Standards Committee (IASC), a nongovernmental body with representatives from national accounting federations and other bodies, whose standards focus on global accounting.

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Market Value = present value1 + present value2 + present value3 + ….+ present value N

9. The discount rate that ensures equality between the present values of expected cash flows and the valuation of the assets is referred to as the internal rate of return (IRR). The IRR used to calculate income is at the heart of the controversy between the debtor and the creditor approaches. The IRR used in the debtor treatment is the one that prevailed when an asset is contracted out to another institutional unit and is known as the “original effective discount rate.”5 Due to events external to the contractual pricing arrangements, the value of the leased/borrowed asset, and consequently of the IRR, may and often does fluctuate during the contractual period. It is on this changing IRR, called “yield to maturitdebt instruments, that the creditor approach bases the interest; this approach to income calculation is presented in section III. Holding gains/losses and other changes in volume

10. In 1993 SNA, changes in the level of assets can originate from transactions and from other changes.

11. As illustrated in Box 1, the other changes account plays a key role in the 1993 SNA, ranking as a main account along with the balance sheet and the transaction accounts (production, income, capital and financial accounts). Other changes, which are made up of holding gains/losses and other changes in volume, are, however, often misleadingly viewed as residual accounts.

“The fact that the two accounts [revaluation accounts and other changes in volume] in question are not widely implemented for the time being should not lead to underestimating their importance and significance. […] Without a good and common understanding of the meaning of the 1993 SNA, discussion on many new issues may prove exceedingly confused and fruitless.”6

12. They are extensively covered here because of their crucial importance in elucidating the differences between the debtor and the creditor approaches. The debtor treatment makes full use of “other changes,” in contrast to the creditor treatment, where some of the changes in value are ascribed to income and others to “other changes.”

5 Reviewed in this section for assets in general, in the next section for bonds, and in Appendix 1 for other assets.

6 Vanoli, 1999, p. 295.

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Box 1. The 1993 SNA Sequencing of Accounts

13. Although the 1993 SNA does not use the model to allocate the “other changes” in assets, these changes have been mapped here on an experimental basis against the terms of the equation of the discount rate model. This provides an intellectual construct that helps in conceptualizing and further shedding light on the factors affecting the valuation of an asset.

N

Market value = Σ Expected Benefitst t =1 (1 + r)t

14. Under this experimental mapping, nominal holding gains/losses result from changes in the discount rate “r” (the denominator), while “other volume changes” originate from changes in the expected benefits (the numerator). The 1993 SNA further divides holding gains/losses into neutral and real gains/losses, which are in turn ascribable to the components that make up the “r”: a risk-free real interest rate, anticipated inflation, and a risk premium specific to the assets and/or the issuer of the assets. Neutral gains/losses are due to changes in the general price level (inflation), and real gains/losses to changes in the risk-free real interest rate and in the risk premium, the latter usually providing the greater source of volatility because of the general stability of the risk-free real interest rate. “Other volume changes,” which are inclusive

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of quality changes, would arise from changes in the expected benefits7 on assets, such as those caused by catastrophic losses. In other words, the denominator would measure the impact of risks--that is, of the probability of occurrence of events--whereas the numerator would cover the changes in expected cash flows due to events that have been realized (and that differ from the contractual agreements).

15. Box 2 summarizes the relationship with the discount flow equation, and section II examines the relationship in more detail on bonds.

Box 2. Links Between the Terms of the Discount Flow Equation and the 1993 SNA “Other Changes” in Assets (experimental mapping) Discount Flow Equation Sources of changes “Other changes” in

assets (1993 SNA) Inflation premium built into the “r” (denominator)

Expected inflation Neutral holding gains/losses

Risk-free real interest rate plus risk premium built-in the “r” (denominator)

Real interest rate and in risks specific to the assets and the asset issuer

Real gains/losses

Expected benefits (numerator)

Expected benefits, e.g., catastrophic losses, impairment, discovery of new exploitable deposits

Other volume gains/losses

Benefits from assets 16. An asset is “economic” in the sense that its owner can expect economic benefits from it. The benefits that flow from assets will vary according to the class of assets, and by the nature of their use. For instance, an asset may be used by the owner in production, or contracted out to other institutional units (please refer to Box 3). Produced and nonproduced nonfinancial assets used in production by the owners generate value added; when used by other institutional units, produced assets generate value added (service rentals) for their owners, whereas nonproduced assets yield property income (rent8) for their owners. Except for derivatives, financial assets yield benefits in the form of interest, distributed income of corporations (inclusive of dividends), reinvested earnings on direct investment, and income attributed to insurance policy holders. For the sake of simplicity, the benefits from financial assets are referred in this paper as interest and dividends. 7 For indexed securities, expected benefits are inclusive of the fluctuations in the value of benefits that have been agreed upon by contract. These fluctuations are part of the agreed value, even if the amount cannot be determined at the inception of the contract.

8 In the case of subsoil assets, rents are also referred to as “royalties.”

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Box 3. Assets and Their Benefits

Type of assets Benefits used by owners in production

Benefits contracted out to other institutional

units

Produced fixed assets Services (production account)

Services (production account)

Nonproduced nonfinancial assets

Value added (production account)

Rent (income distribution account)

Financial assets Not applicable Interest and dividends (income distribution account)

17. In the 1993 SNA, the benefits from contracted-out produced fixed assets are included in the production account, as a source of value added9 from the rental service that is defined as follows:

“the amount payable by the user of a fixed asset to its owner under an operating lease or a similar contract for the right to use that asset in production for a specified period of time.” (96.181)

18. The benefits from leasing tangible nonproduced assets are measured by the rent, which is:

“… treated as accruing continuously to the landowner throughout the period of the contract agreed between the landowner and the tenant.” (7.128)

whereas those on subsoil assets “…may take the form of periodic payments of fixed amounts, irrespective to the rate of extraction or more likely they may be a function of the quantity of volume of the asset extracted.” (7.133)

19. The rent as well as interest and dividends (benefits from financial assets) are recorded as primary income, that is:

9 More specifically, these benefits are part of operating surplus for corporations and of mixed income for households. The value added is “the surplus or deficit accruing from production before taking into account any interest, rent or similar charges on financial or tangible nonproduced assets” (7.8).

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“…incomes that accrue to institutional units as a consequence of their involvement in processes of production or ownership of assets that may be needed for purposes of production. They are payable out of the value added created by production. The primary incomes that accrue by lending or renting financial or tangible nonproduced assets, including land, to other units for use in production are described as property incomes.” (7.2)

20. The recording of such benefits is not affected by changes in the value of the underlying assets:

“In effect, it is a basic principle of the System that holding gains/losses, nominal or real, whatever their origin is, must not influence the measurement of value added, income, saving as well as net lending or borrowing.”10

21. In a nutshell, the 1993 SNA records the benefits on contracted-out assets on the basis of the contractual arrangements, which in turn is consistent with the debtor approach for bonds.

22. The following example illustrates these accounting principles:

“Suppose an asset is bought for 100 and five years later it is worth 500. Over five years there has been a nominal holding gain of 400. If the asset is sold, the realized holding gain is 400. If the asset is not sold, there is an unrealized gain of 400. This gain, however, relates to the five year period and for income calculations, one would only want the gain within the relevant accounting period, say a year. Suppose at the end of the previous year the asset was worth 450. During this year, the nominal holding gain is 50. Suppose the rate of inflation in the year is 10 per cent. Then 45 of this 50 is needed simply to maintain the real value of the asset. This 45 is called the neutral holding gain. The real holding gain is the remaining 5. What should be included in income? The 1993 SNA says none of them because income must be measured on the same basis as production where holding gains are rigorously excluded.”11

Return from assets

23. The 1993 SNA does not have any single account that shows the return on assets, defined here in the financial sense of change in wealth that results from owning the asset:

“…this change in wealth can be either due to cash inflows, such as interest or dividends, or caused by a change in the price of the asset (positive or negative).”12

10 Vanoli, 1999, p. 283. 11 The Canberra Group, Expert Group on Household Income Statistics, p. 26. 12 Reilly and Brown, 2000, p. 6.

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24. Thus in order to be able to record the return on assets, the 1993 SNA accounts that need to be taken into account comprise those that show benefits from assets (services, rent, and interest and dividends) plus revaluation of the underlying assets and other changes in volume (as defined in a national accounts framework). The accounts related to benefits can be found in the production accounts and the income account, whereas those related to valuation changes in the assets are part of the other changes accounts.

II. INTEREST INCOME ON BONDS: THE DEBTOR PRINCIPLE

Valuation of bonds

25. The value of a bond, like that of any financial asset, derives from the cash flows that are expected from it. For simplicity sake, the discount flow model is applied here only to straight bonds, that is, options-free securities.13

26. As noted in section I, the discount rate is made up of three parts: real risk-free rate of interest, expected rate of inflation, and risk premium, the latter made up of a maturity premium and a credit risk premium in the case of financial assets.

“The real risk-free rate of interest (RFR) is the economic cost of money, that is, the opportunity cost necessary to compensate individuals for foregoing consumption. As discussed previously, it is determined by the real growth rate of the economy with short-run effects due to ease or tightness in the capital market.”14

27. The addition of real risk-free rate of interest to expected inflation provides the nominal risk-free rate of interest, that is, the interest rate that is only associated with a few selected types of short-term government paper.15

28. Risks associated with bonds can take two forms: those associated with the bond itself, that is, its term structure (maturity premium); and those associated with the issuers of the bond (credit risk). Risks embodied in the maturity premium include interest rate risks, yield curve risks, volatility risks, reinvestment risks, liquidity risks, and event risks. How much these risks affect the price of bonds depends upon the specific features of the bonds, that is, the magnitude and the dates of expected streams of payments (coupons and capital), and the term structure of

13 While fixed income debt instrument with embedded options are priced on the basis of expected cash flows, the expectations are affected by embedded options, which use other valuation models, e.g., Monte Carlo simulation (e.g., mortgaged-backed securities). 14 Reilly and Brown, 2000, p. 563.

15 Examples would be United States treasury bills, French “bons du trésor,” the German “U-Schätze,” the British short term gilt-edged bonds, and the Canadian treasury bills that would be viewed as benchmark of default-risk free securities in their respective markets.

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interest.16 For instance, the price of a high-coupon bond would generally be higher than one with a lower coupon rate. The term structure of interest rates, that is, the various levels of rates based on their term,17 is largely determined by expectations regarding inflation, since the expectations concerning the real rate of return are generally stable.

29. The credit risk, also known as default risk of the issuer, is determined by the capacity of the issuers to generate the cash flows from operations and the issuers’ financial obligations in terms of interest and principal payments. The difference in risk with certain government bonds that are free of credit risk (but otherwise identical in all other respects) is referred to as the yield spread.

30. The 1993 SNA refers to the interest rate on any given instrument as the nominal interest rate of that instrument, and distinguishes it from the “real” rate of interest as follows:

“When a debtor is able to discharge his liability to the creditor by repaying principal equal in money value to the funds borrowed the associated interest payments are described as ‘nominal.’ Such interest payments do not represent the ‘real’ return to the creditor when, as a result of inflation, the purchasing power of the funds repaid is less than that of the funds borrowed. In situations of chronic inflation the nominal interest payments demanded by creditors typically rise in order to compensate them for the losses of purchasing power that they expect when their funds are eventually repaid.”(7.109)18

31. The content of real interest rate and nominal interest rate as used in the 1993 SNA differs from that in the finance literature as shown below in Box 4.

16 The term structure of the interest rate affects the value of the bond through the interest rate risk. That risk is linked to the characteristics of the bond: its maturity (the longer the maturity, the greater, generally, the sensitivity to interest rate changes), and its coupon rate (the higher the coupon rate, the greater, generally, the sensitivity to interest rate changes). The formal maturity measure is known as the “duration, that is, a weighted maturity of all the cash flows on the bond, including the coupons, where the weights are based upon both the timing and the magnitude of the cash flows.” Damodaran, 1996, p. 399. The duration is less or equal to the maturity of the bond.

17 As measured by the yield curve.

18 While the 1993 SNA shows the nominal interest in the allocation of income, it proposed in Annex B to chapter XIX a parallel treatment of interest under significant inflation that would exclude inflation and, hence, record the real rate of interest (inclusive of risk premium) in the income accounts. The interpretation of this Annex has been the source of a debate that remains to be settled, and to which André Vanoli (1999) and Peter Hill have contributed.

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Box 4: Interest rate terminology

1993 SNA Finance literature

Real interest rate (risk free)

Real interest rate (risk free)

+ Risk premium + Inflation premium

= Real interest rate (inclusive of risk)

= Nominal interest rate (risk free)

+ Inflation premium + Risk premium

= Nominal interest rate (inclusive of risk)

= Market interest rate

32. To avoid ambiguity, this paper uses the self-describing terms “risk-free real interest rate,” “inflation premium,” and “risks premium,” as applicable. The terms interest rate, current interest rate, or market interest rate, which are equivalent to the 1993 SNA “nominal interest rate,” are used interchangeably.

33. At the time of issue, the market interest rate will determine the issue price of the bond, given that the maturity and expected cash flows are fixed by contract. Bonds can be issued with periodic coupon payments or with no coupon (zero-coupon bonds), and there is a clear inverse relationship between the issue price and the interest rate. For instance, if the coupon rate (say, 5 percent) is set equal to the rate (5 percent) at the time of issue, the bond will be issued at par; if the coupon rate is higher than the interest rate, the bond is issued at premium, and at discount if the coupon rate is lower. Zero-coupon bonds are always issued at discount, the discount magnitude depending upon the level of the interest rate; the higher the rate, the higher the magnitude of the discount.

34. Over the life of the bond, the value of the bond will fluctuate according to the fluctuations in current interest rates, which in turn reflect changes in the expected real rate, in the expected inflation rate, and in the risk of the specific instrument, inclusive of the maturity premium and the credit risk of the issuers. Holding gains/losses and other changes in volume on bonds

35. The value of an asset can change due to factors that affect both the denominator and the numerator of the discount flow equation. As suggested in section I, changes in the denominator may create neutral gains/losses if due to changes in inflation (inflation changes would affect the value of all assets), and nominal real gains/losses if due to changes in risks (maturity and credit) that are specific to the term of the bonds and to the issuers.

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36. Volume changes would arise when the bond issuers skip paying some of the coupons on the due date, an event that changes the expected benefits. These cases, known in business accounting as impairments (covered in more detail under loans in Appendix 1), would be recorded as other changes in volume under “miscellaneous other volume changes” in financial assets, which the 1993 SNA defines as:

“Any changes in financial assets and liabilities that are not transactions in the financial account, that should not be attributed to holding gains or losses, that are not changes in classification and that do not fall into one of the enumerated categories above are to recorded here.” (12.54)

37. If the owner of a bond recognizes that the bond issuers will completely default on their financial contractual obligations, the 1993 SNA would account for a total write-off only under the following circumstances:

“Recognition by a creditor that a financial claim can no longer be collected, due to bankruptcy or other factors, and the consequent removal of that claim from the balance sheet of the creditor should be accounted for here [in other changes in volume] along with the removal of the liability of the debtor.” (12.51)

Interest income

38. Interest income from a bond can come from two sources: coupon interest, where the interest is paid at periodic moments; and the difference between the issue and the redemption price, where the interest is paid at maturity. With the accrual principle, as defined in the 1993 SNA, interest from these two sources is recorded continuously over the life of the bond.

“…the difference between its [the bond’s] issue price and its face or redemption value when it matures measures interest that the issuer is obliged to pay over the life of the bond. Such interest is recorded as property income payable by the issuer of the bond and receivable by the holder of the bond in addition to any coupon interest actually paid by the issuer at specified intervals over the life of the bond. In principle, the interest accruing is treated as being simultaneously reinvested in the bond by the holder of the bond. It is therefore recorded in the financial account as the acquisition of an asset, which is added to the existing asset. Thus the gradual increase in the market price of a bond that is attributable to the accumulation of accrued, reinvested interest reflects a growth in the principal outstanding—i.e. in the size of an asset. It is essentially a quantum or volume increase and not a price increase. It does not generate any holding gains for the holder of the bond or holding loss for the issuer of the bond. […] Bonds change quantitatively over time as they approach maturity and it is essential to recognize that increases in their values due to the accumulation of accrued interest are not price change and do not generate holding gains.” (12.110)

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39. In other words, the income is to be calculated on the basis of the contractual arrangements at the time of issue.19 The recording of coupons is explicitly stated, and so is the amortization between the issue price and the face, or redemption, value of the bond. The income is fully determined at the time the bond is issued, according to the contractual arrangements, and this is also further reinforced at the more general level of tradable instruments:

“Under the terms of the financial instrument agreed between them, interest is the amount that the debtor becomes liable to pay to the creditor over a given period of time without reducing the amount of principal outstanding.” (7.93)

40. Although it bases the income calculation upon the original contractual arrangements, the 1993 SNA fully recognizes that the economic conditions prevailing during the life of the bond would change the value of the bond. In the unusual circumstance of no change in the market interest rate over the life of the bond, the value of a bond issued at par with coupons will gradually increase to reflect the accrual of the coupon up to the coupon date; will return to par the day the coupon is paid out, resuming its gradual increase up to the next coupon payment; and so forth until maturity, when the face value and the last coupon are paid out. The changes in the value of the bond are transactions changes (interest payable). For instance, for an annual coupon of 5 percent on a $1,000 bond,20 the value of the bond will increase to close to $1,05021 just before the date at which the coupon is due for payment, and will then return to $1,000 the day the coupon is paid out. From then on, the interest will again accrue on the bond up to the next payment of the coupon, and so on.

41. Likewise, assuming the unusual circumstances of no change in market interest rate and assuming a bond issued at discount with no coupon (zero-coupon bond), the interest--that is, the difference between the issue price and the maturity price--will be accrued over the life of the bond, and the resulting interest payable will increase the value of the bond up to the redemption value at maturity.

191993 SNA quotations that clearly describe the debtor treatment for interest income can also be found in 7.98 and 7.99 for bills, 7.100 for bonds and debentures, 7.101 for zero-coupon bonds, 7.103 for other bonds, including deep-discounted bonds, and 7.104 for index-linked securities.

20 In North America, the coupons are generally payable on a semiannual basis.

21 Referred to as full price (or dirty price) in the market. For market purposes, the bond is quoted at its “clean” price, that is, exclusive of the accrued coupon. The interest accrual is calculated daily.

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Return on bonds

42. The return on bonds will be the interest income plus the changes in the value of the bond. As we saw earlier, the latter may be caused by changes in the environment surrounding the bonds, such as inflation expectations or the credit risk of the issuer. For instance, an increase in the credit risk of an issuer means a higher current discount rate, and a lower value of the bond.

43. As an example, let us assume a five-year zero-coupon bond issued at $747 with a redemption value of $1,000. The internal rate of return is 6 percent.22 The accrual of the $253 income over its lifetime will result in $45 income the first year. The interest not being paid out, the accrued interest will be recorded both in the income and financial accounts. This will increase the value of the bond to $792 at the end of the first year due to interest payable, as shown in the first line of Table 1.

44. Now assume a change in market conditions at the end of the first year with the price of the bond increasing to $823. Such a change brings the discount rate (referred to as yield to maturity) to 5 percent. If these conditions prevail for the remaining life of the bond, its value will be $864, $907, and $952 in the subsequent years, as illustrated in Table 1.

45. If the bond is sold before maturity, the unrealized gains will be realized through a financial transaction, with the transaction valued at the market price of the bond:

“… as holding gains are recorded on an accruals basis in the System, the distinction between realized and unrealized gains, although useful for some purposes, is not so important in the System and does not appear in the classifications and accounts.” (12.72)

Table 1: A zero coupon 5 years bond issued at 6%, with yield to maturity that changes to 5% at the end of the first year Year Year

opening value

Interest payable changes

Valuation changes

Year closing value

Return on bond for holder

1 747 45 31 792 (823 after the change)

76

2 823 48 -7 864 41 3 864 50 -7 907 43 4 907 53 -8 952 45 5 952 57 -9 1000 48

1 to 5 747(t=1) 253(t=Ó 1 to 5) 0(t=Ó 1 to 5) 1000(t=5) 253 (t=Ó 1 to 5)

(6%) 22 The example was drawn from Joisce and Wright, 2001, pp. 9-10.

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III. INTEREST INCOME ON BONDS: THE CREDITOR TREATMENT

46. The first part of this section illustrates the income derived from the creditor approach and explains how it differs from the income of fair value accounting (e.g., IAS 39, from which it drew extensively). The second part reviews some of the premises on which the creditor treatment is based, and the third part explores the impact the creditor approach would have on the 1993 SNA.

A. Description of Bond Income Under the Creditor Approach

47. The creditor approach defines income as the result of multiplying the relevant current interest rate (market yield) by the market value of the instrument. The changes in the value of the bond that occur when interest rates change are recorded as revaluations.

48. The treatment is illustrated in Table 2 with the same example as Table 1, but made simpler by the use of a 6 percent bond issued at par instead of a zero-coupon bond (the debtor treatment is shown in italics).

Table 2: A 6% coupon 5 years bond issued at par, with yield to maturity that changes to 5% at the end of the first year

Year Year opening value

Interest expense

(creditor)

Valuation changes

(creditor)

Interest expense

(debtor)

Valuation. changes

(debtor)

Year closing value

1 1000 60 35 60 35 1035

2 1035 52 60 -8 1027

3 1027 52 60 -8 1019

4 1019 51 60 -9 1010

5 1010 50 60 -10 1000

1 to 5 1000(t=1) 265(t=Ó 1 to 5) 35(t=Ó 1 to 5) 300(t=Ó 1 to 5) 0(t=Ó 1 to 5) 1000(t=5)

49. Under the creditor treatment, assuming that the bond transactions were the only economic activities of a government, the government would have incurred a deficit (net expense) of $265 over the life of the bond, and a capital loss of $35 due to a decrease in market interest rates. If rates had increased, the deficit would be higher than $300, with the difference showing as capital gain for the government. The resulting income is not consistent with the income either from the IAS 39 treatment (the corporate accounting from which the

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creditor approach draws heavily), or from the 1993 SNA, since both record expense of $300 over the life of the bond.

50. The creditor treatment recognizes as income only the market yield multiplied by the bond market value ($60, $52, $52, $51, $50), and unlike the IAS 39, not the gain in the value of the bond ($35). This means an interest income of $60 in the first year using the creditor treatment, versus $95 under IAS 39, with both treatments recording the same income for the subsequent years, when market interest rates are stable, for a total of $300 under IAS 39 and $265 under the creditor treatment. The income from IAS 39 effectively records the full return on bonds (as was presented in section I, under “Return on bonds”). The income from the creditor treatment, as that from the debtor treatment, provides only part of the return on bonds; to obtain the full return, one has to add the income plus revaluation changes.

51. The income from the creditor treatment uses part of the income of IAS 39, shifting the remainder to the revaluation changes account as per the 1993 SNA. By drawing pieces from each of the two systems, the creditor income ends up being inconsistent with both.

B. Selected Premises of the Creditor Approach

52. The following reviews some of the premises on which the creditor treatment is based. Other changes in the valuation of assets

53. Under the creditor approach, it has been suggested that changes in the value of bonds when market interest rates are stable are measurement errors:

“The recorded revaluations in years 4 and 5 cannot be explained either as a consequence of wider market conditions or as the result of changing perceptions about the credit worthiness of the issuer. They may only be interpreted as a balancing entry and thus constitute evidence of mismeasurement somewhere in the other changes of assets account.”23

54. Appendix 2 tracks the value of the bond of Table 3 through the years and illustrates how the bond value changes according to a mixture of changes in real interest rate, inflation expectations, maturity premium, and credit risk. The impact of these factors will vary depending upon the circumstances at hand.

55. The example in Appendix 2 shows that the $35 revaluation change in the first year is of the same nature as the $8, $8, $9, and $10 in subsequent years, and that the changes arise from, among other things, real interest rate and volume changes.

23 Joisce and Wright, 2001, p. 18.

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56. The creditor treatment recognizes only the first-year change, whereas the debtor treatment remains consistent by continuing throughout the life of the bond to incorporate the impact of the factors that affect the bond valuation. The gain of $35 is a mixture of the same offsetting forces as those described when the market conditions are stable, plus additional forces brought about by decrease in the market interest rate to 5 percent. The latter decline can be due to a number of factors, either lower inflation expectation (nominal holding gain), lower credit risk of the issuer (real gain), or lower risk-free real rate of interest (real gain). The 1993 SNA calls for the impact of all these factors to be recorded as nominal holding gains/losses, which the debtor treatment does. The creditor approach treats these changes as revaluation during a period of changing interest rates, but as income when the rate is stable, as shown below. Income (debtor) Revaluation

Year 1: 60 35 Year 2: 60-8 = 52, Year 3: 60-8 = 52, Year 4: 60-9= 51, Year 5: 60-10= 50. Liquidity of assets

57. It has been suggested that, by recognizing the greater liquidity of bonds, the 1993 SNA accepted the creditor treatment of income on bonds. Indeed the 1993 SNA effectively recognized the greater liquidity of bonds (by providing a valuation for bonds that differs from that of less negotiable debt instruments). Nevertheless, the System still accounted for the income on bonds along the same principles as that of other assets, basing it on the arrangements agreed upon, exclusive of changes in value:

“However, the System excludes from the calculation of income any assets received or disposed as a result of capital transfers that merely redistribute wealth between different units, and also any assets received or disposed as a result of ‘other volume changes’ as described in chapter XII. It also excluded any real holding gains or losses on assets or liabilities due to changes in their relative prices.” (1.63)

58. There has indeed been greater liquidity of assets in recent years, due to the greater sophistication of financial arrangements. In terms of accounting treatment, the impact of this increased liquidity is felt much more on nonnegotiable debt assets, such as loans, whose current valuation in the 1993 SNA differs from that of the main stream of assets. Such difference in valuation is increasingly being questioned as the existing loan valuation falls short of reflecting current market conditions. Appendix 1 discusses this issue in more detail under Loans.

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Monetary transactions

59. The 1993 SNA clearly distinguishes transactions (production, income, capital, and financial transactions) from other changes and balance sheet accounts (as illustrated earlier in Box 1). Except for very specific cases, transactions in the 1993 SNA represent agreements expressed in monetary terms between institutional units (item 1 in Box 4):

“… all flows are recorded in monetary terms, … the distinguishing characteristic of a monetary transaction is that the parties to the transaction express their agreement in monetary terms.” (3.16) “All monetary transactions are interactions between institutional units; that is, all monetary transactions are two-party transactions.” (3.17) “When institutional units exchange these items with other institutional units for cash, the values required by the System are directly available. These transactions are recorded at the actual exchange value agreed upon by the two parties.” (3.71)

60. The specific cases where the System recognizes transactions that are not monetary and that need consequently to be valued are items 2 and 3 as shown in Box 5 below.

Box 5: Types of Transactions

Description Units involved

Valuation Examples

1. Observable in value terms

2 Monetary transactions Purchase of goods or services

2. Observable but not immediately valued

2 A value in monetary terms is attributed

Barter of goods, education services provided free by government

3. Physically observable

1 A value in monetary terms is attributed

Own account, such as consumption of fixed capital

61. The creditor approach revalues transactions (e.g., income) that already have a monetary value (item 1). The System recognizes the fact that the monetary agreement may span more than one accounting period by adopting the accrual principle, where the value agreed upon is spread over the period in which the service is rendered and/or the income is earned. Accrual does not call for revaluation of transactions, but for the allocation of the monetary value across the periods covered by contractual arrangements.

62. Unlike transaction accounts, which are valued according to the terms agreed upon by institutional units (or whose value is imputed for very specific cases), the System constantly revalues the two other major accounts, balance sheet and other changes (please refer to Box 1), to reflect the changing economic conditions of the market. As such, the System clearly distinguishes transactions, which are based on economic decisions, from other flows, which

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simply reflect changing conditions in the market. For instance, while the market valuation is applied to the full debt outstanding, it is well understood that transactions on the bond may change the value of the bond (especially affected if the debtor reduces materially the supply of its bond by attempting to repurchase it). To value transactions differently from the terms agreed upon by institutional units goes against the essence of the System.

C. How the Creditor Approach Would Affect the 1993 SNA

63. The following presents the sequencing of the 1993 SNA before exploring how it would be affected by using principles along the lines of the creditor treatment. The sequencing is illustrated first with the leasing of fixed assets and then with bonds.

64. The rental of a fixed asset remains unchanged throughout the life of the contract, whereas the value of the leased asset fluctuates as a result of external events, such as fluctuations in market interest rates. If the owner sells the fixed asset, the new owner assumes the contractual leasing arrangements (the original rentals are linked to the fixed asset). For the owner, a sale of the asset for cash will appear as a capital transaction in fixed asset, and an equivalent increase of cash in the financial account. The owner’s fixed assets will be reduced by the same amount as the capital transaction, with an equivalent increase in the cash assets. The changes in assets are completely accounted for by transactions, since the fixed asset would have been reevaluated prior to the transaction. The sale simply realizes the gain/loss that had already been accounted for in the revaluation accounts.

65. The income from a bond remains unchanged throughout the life of the bond contract, whereas the value of the bond fluctuates as a result of external events, such as fluctuations in market interest rates. If the owner sells the bond, the new owner assumes the contractual interest arrangements (the original contractual arrangements are linked to the bond). For the owner, a sale of the bond for cash will appear as a financial transaction in bond and an equivalent increase of cash in the financial account. The owner’s assets in bond will be reduced by the same amount as the financial transaction, with an equivalent increase in cash assets. The changes in assets are completely accounted for by transactions since the bond would have been reevaluated prior to the transaction. The sale simply realizes the gain/loss that had already been accounted for in the revaluation accounts. A similar sequencing would apply for rent, a property income, which is recorded in the 1993 SNA according to the original contractual payments attached to the nonproduced asset, with the changes in the value of the asset recorded in the revaluation accounts. This is in conformity with the debtor treatment of interest bond, where the changes in the value of the assets are recorded in the revaluation accounts.

66. Introducing the principles of the creditor approach would have a multifold impact on the System. If applied to bonds, the creditor treatment would blur the distinction in valuation that currently exists between transaction accounts and changes in economic conditions accounts. Second, the sequencing of the System, whereby changes in economic conditions are reflected in the other changes account and are captured in the transaction accounts only insofar as economic decisions are made, would be modified. If implemented only for bonds, these

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principles would mean major inconsistencies with treatments of other assets in the System. However, if extended to other assets under contractual arrangements, they would entail a major rewrite of the System: the services for fixed assets under operational leases would be recorded according to the current rental that such assets could fetch in the market; for nonproduced natural assets, the current rent that natural assets could fetch; for equity, the income would be based on the current yield on equity; and for debt instruments, the income would be based on the current rate of the debt. Extended to other income accounts under contracts that span over more than one period, the principles of the creditor approach would lead to disregarding the value on which wages are recorded (contractual arrangements) in favor of what could be earned. The trade in goods and services that span more than one period (term contract) would be revalued according to the conditions of the period under measurement.

IV. CONCLUSION

67. The treatment of income on bonds was examined against the accounting treatment of other categories of assets in the 1993 SNA framework. The research showed that the 1993 SNA uses the basic principles of the debtor approach (the initial contractual arrangements) not only for bonds, but also to account for the benefits that flow from all other assets that have been contracted out to other institutional units. Second, it also showed that the creditor treatment is not in conformity with the 1993 SNA and that its application to income, a key concept of the System, would entail fundamental changes to the System in order to preserve its integrated and consistent nature.

68. The debtor approach to measuring interest on bonds (i.e., according to the original contractual terms) is consistent with the income valuation principles used for other assets in the 1993 SNA. The benefits or income from assets placed at the disposal of other institutional units are recorded according to the contractual terms:

• rental income for produced assets; • rent (including royalties ) for nonproduced nonfinancial assets; and • interest and dividends for financial assets.

69. The amounts to be shown as benefits/income are those specified in the contractual arrangements, and they exclude any changes in the value of assets. The changes in the value of assets are accounted for as “other changes” and recorded as capital and financial transactions when the assets are exchanged or transferred between institutional units.

70. The debtor treatment ensures that the income results are comparable across the various classes of assets (consistency among macro accounts). It also provides for the macro/micro consistency of income based on historical cost accounting, and, over the life of the bonds, on the income derived from “fair value” (corporate accounting standard), although the timing and amount of income recognition differ in the latter case.

71. The creditor approach calculates income by applying the relevant current interest rate to the market value of the bond; it excludes from income certain changes in the bond’s value.

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The income derived from that treatment is not consistent with that obtained from fair value accounting (where changes in the value of bonds are treated as income), nor with historical accounting or 1993 SNA accounting.

72. Introducing the creditor approach into the 1993 SNA would lead to the revaluation of transactions where a monetary value already exists--a practice not in conformity with the System. For bonds, it would involve shifting the value from terms agreed upon to a yield that would reflect current market conditions. For other assets, it would entail recalibrating the value of transactions that span contractually across periods, and may lead to the revaluation of wages if market conditions differ from the contractually agreed wages. It would also involve modifying the other changes account accordingly and developing new analytical tools to interpret the results. The impact of such major changes needs to be carefully assessed against the analytical needs that the creditor approach purports to satisfy.

73. The discussion concerning the creditor treatment, which drew extensively on the fair value accounting treatment, helped to shed more light on the System. It reinforced the use that the System makes of market valuation and the prominence it gives to the “other changes” accounts. (Appendix 3 shows that market valuation is more extensively applied in 1993 SNA than in IAS 39.)

74. At the same time, the intensity of the debate on the recording of interest is emblematic of concerns raised by macroeconomic statisticians about the capacity of measuring the full complexity of the rapidly changing financial reality. New institutions and financial arrangements can challenge the 1993 SNA, as did financial derivatives. There are aspects of economic activities, --such as those related to trusts, banks in liquidation, build-operate transfers and structures to transfer risk-- where it would be very useful to pursue the research.

“The central framework of the SNA presents a number of characteristics which give it the advantages of an integrated accounting structure. … (21.1) … The counterpart of these benefits is that there are certain limitations as to what may be accommodated directly in the central framework. (21.2) …Additional or different requirements necessitate the development of complementary or alternative categories and concepts. (21.3) … Satellite accounts or systems generally stress the need to expand the analytical capacity of national accounting for selected areas of social concerns in a flexible manner. …” (21.4)

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APPENDIX 1:THE 1993 SNA TREATMENT OF SPECIFIC ASSETS

A. Produced Assets

1. Produced assets are classified as fixed assets, both tangible and intangible; inventories; and valuables.1 Tangible fixed assets refer to buildings and other structures, transportation equipment and other machinery and equipment, and cultivated assets. Intangible fixed assets comprise mineral exploration; computer software; entertainment, literary, or artistic originals; and other intangible fixed assets. In the following, the treatment of tangible fixed assets is reviewed in detail, with a summary on intangible fixed assets. A.1 Tangible Fixed Assets

Valuation of tangible fixed assets

2. The 1993 SNA values fixed assets as follows: “The value of a fixed asset to its owner at any point in time is determined by the present value of future rentals that can be expected over its remaining life.” (6.182)

3. A recent manual2 explored such valuation in more depth, clarifying that rentals are effectively a measure of services derived from produced assets. Such services/rentals are readily observable when assets are under contractual operational leases (e.g., road vehicles, aircraft, building and many types of construction equipment). When the owners are the users of the assets, the value of services needs to be imputed, but the principle remains the same: the underlying asset gets its value from the present value of future rentals (observed or imputed).

4. The rate used to discount the future rentals is based on the income that producers could earn from alternative use of their funds, with the floor set by the market interest rate.

“An alternative is to estimate r from market interest rates. The logic behind this is that interest rate plays a key role in determining rates of return. First the decision to purchase a capital asset is partially based on a comparison between the rate of return that the asset is expected to earn and the income that could be earned from alternative use of funds. These alternatives uses include investment in financial assets. Second investment in capital assets is often financed through borrowing and a producer will

1 As noted earlier, although valuables originate from production processes, they are used mostly as stores of value.

2 Organization for Economic Cooperation and Development, Measuring Capital, A Manual of the Measurement of Capital Stocks, Consumption of Fixed Capital and Capital Services, unclassified (OECD, 2001).

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usually not borrow to buy an asset unless the expected rate of return exceeds the interest that has to be paid on the loan.”3

5. The discount rate is of course higher than the market interest rate, as it also embodies the risks inherent in owning the produced assets. Assuming a contractual rental of $1,000 a year for five years, and a discount rate of 9 percent with a $600 salvage value, the present value of the asset to the owner, as illustrated in Table 1, will be: N

Present value = Σ Expected Cash Flowst t=1 (1 + r)t

Table 1: Compilation of present value of an asset at Year 0 (contractual rental of $1,000, duration 5 years, salvage value $600, rate of return 9%) Present value

Year 1 Year 2 Year 3 Year 4 Year 5

$917.43 $1000/(1+0.09) $841.68 $1000/(1+0.09)2 $772.18 $1000/(1+0.09)3 $708.43 $1000/(1+0.09)4 $649.93 $1000/(1+.09)5 $389.96 $600/(1+0.09)5 $4279.61

Holding gains/losses and other volume changes on tangible fixed assets

6. Besides capital transactions, changes in the overall value of fixed assets are due to changes in the discount rate, and/or change in the benefits anticipated from the produced assets.4 The discount rate is made up of market interest rate increased by a premium that is specific to the produced assets.

7. Everything else being equal, a decrease of 1 percent in market interest rate will bring the discount rate to 8 percent, and consequently increase the value of the fixed asset as follows:

$1,000/(1 + 0.8) + $1,000/(1 + 0.8)2 +$1,000/(1 + 0.8)3 + $1,000/(1 + 0.8)4 + $1,000/(1 + 0.8) + $600/(1 + 0.8) 5= $4,401.06

3 Ibid., p. 84.

4 It should be noted that depreciation is built into the expected cash flows, inclusive of the salvage value, which is understandably lower than the current value.

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8. In this example, the value of the asset increased by $121.45 ($4,401.06 - $4,279.61) due to a 1 percent decrease in market interest rate. Since the changes came from market interest rates, the changes in the value of the fixed assets would represent a nominal gain. If the increase in the rate were due to a change in inflation, the gain in the asset value would be a neutral gain--and a real gain otherwise, as it would be specific to the asset itself.

9. Volume changes will occur if there are changes in the expected benefits of fixed assets, such as those caused by unforeseen depreciation, catastrophic loss, etc. Changes in these expected benefits will be accounted for as volume gains/losses in the assets. Service from tangible fixed assets

10. Tangible fixed assets generate services that are measured from the rentals that such assets can produce. Rental is defined in the 1993 SNA as:

“… the amount payable by the user of a fixed asset to its owner under an operating lease or a similar contract for the right to use that asset in production for a specified period of time. The rentals need to be large enough to cover not only the reduction in the value of the asset of the period—i.e., the depreciation of fixed capital—but also the interest costs on the value of the asset at the start of the period and any other costs incurred by the owner [.…] Whether owned or rented, the full cost of using the fixed asset in production is measured by the actual or imputed rental on the asset….” (6.181)

11. Services from fixed assets can be measured from the rental if the asset is under operational lease arrangements, and estimated if the owners use the asset directly in production. In the case of a lease arrangement, the payments that the owner will receive are fixed by contractual arrangement. The service will show as output service receipt of the owner/lessor, and as intermediate consumption of the user/lessee. If a fixed asset is used directly in production by the owner, the services can be estimated according to the current market conditions, inclusive of interest rates. Unlike a rental where the service value is fixed, the value of service is to be recalculated every period on the basis of current market conditions if there is no rental agreement. Return on tangible fixed assets

12. The return for the owner of an asset is the rental received during the current period, minus the consumption of fixed capital plus the other changes in volume and holding gains/losses in the value of the produced asset, as noted earlier in the 1993 SNA.

13. In other words, the rental remains unchanged, whereas the value of the leased asset fluctuates as a result of external events, such as fluctuations in market interest rates. The original rental agreements are linked to the fixed asset. If the owner sells the fixed asset, the new owner assumes the contractual leasing arrangements. A sale of the asset for cash will show as a capital transaction in fixed asset, with the counterpart entry an equivalent decrease of cash in the financial account. The owner’s fixed assets will be reduced by the same amount

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as the capital (financial) transaction, with an equivalent increase in cash. The sale simply realizes the gain/loss that had already been accounted for in the revaluation accounts. The changes in the value of the assets would have been reevaluated as they occurred in the revaluation accounts. A.2 Intangible Fixed Assets

14. The valuation of intangible fixed assets, for instance artistic or literary originals, is captured by “the actual or expected receipts from the sale or use of copies…” (6.143), with the legal or de facto ownership of the original itself established by copyright, patent, or secrecy. The owner may also license other producers to make use of the originals in production:

“In these cases, the owner is treated as providing services to the licensees that are recorded as part of their intermediate consumption. The payments made by the licensees may be described in various ways, such as fees, commissions, or royalties, but however they are described they are treated as payments for services rendered by the owner.…” (6.146)

15. Changes in market conditions, such as in the market interest rate, will affect the value of the asset, but unless the contract is modified, they will not affect the licensing stream of payments that may be attached contractually to the asset. The return on the asset can be computed by summing the services received plus the revaluations of the asset (unrealized gains/losses). If the asset is sold, the owner simply realizes the holding gains/losses, and the service receipts of the new owner will still be the streams of license payments attached to the asset in question. B. Nonfinancial Nonproduced Assets

16. Nonfinancial nonproduced assets comprise tangible nonproduced assets (land, subsoil assets, other natural assets) and intangible nonproduced assets (patented entities, leases and other transferable contracts, and purchased goodwill). What distinguishes nonfinancial nonproduced assets from produced and financial assets is that they do not result from production processes or transactions between institutional units. Although they have not been themselves produced, nonfinancial nonproduced assets may be used in the production process. All tangible nonproduced assets, such as subsoil assets, relate to naturally occurring assets. All intangible nonproduced assets, such as patented entities, are created by human activity, and may be referred to as constructs devised by society (12.14). They differ from financial assets in that there are no counterpart liabilities on other institutional units. B.1 Tangible Nonproduced Assets

Valuation of tangible nonproduced assets

17. The 1993 SNA valuation for tangible nonproduced assets is as follows:

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“In the case of assets for which the returns either are delayed (as with timber) or are spread over a lengthy period (as with subsoil assets), although normal prices are used to value the ultimate output, a rate of discount must, in addition, be used to compute the present value of the expected future returns. It is thus necessary to derive a capitalization factor—a factor that works back from the present value of the expected future return to the value of the asset—from information about the market. The rate of discount and the capitalization factors should be derived from information based on transactions in the particular type of assets under consideration—forest lands, mines and quarries—rather than using a general rate of interest, such as one derived from the yield on government bonds.” (13.34)

Holding gains/losses and other volume changes on tangible nonproduced assets

18. As is the case for any assets, changes in current economic conditions and those specific to the assets, such as catastrophic losses or depletion, may lead to gains/losses on tangible nonproduced assets. The gains/losses are to be recorded in the other changes in assets and the revaluation accounts, with no impact on the rent, the contractual income agreed upon for the asset. Rent on tangible nonproduced assets

19. The 1993 SNA discusses rent as follows: “Rent [on land] is recorded on an accrual basis, i.e., rent is treated as accruing continuously to the landowner throughout the period of the contract agreed between the landowner and the tenant.” (7.128) “…The rents [on subsoil assets] may take the form of periodic payments of fixed amounts, irrespective of the rate of extraction or, more likely, they may be a function of the quantity or volume of the asset extracted.” (7.133)

20. The 1993 SNA is very clear: rent, a property income, is based on the contractual arrangements. Return on tangible nonproduced asset

21. As is the case for produced assets, the return on tangible nonproduced assets includes the income--that is, rent--plus holding gains/losses and the other volume changes as recorded in the valuation accounts.

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22. Where there are long-term contractual arrangements on tangible nonproduced assets, the arrangements can be viewed as arrangements along the same line as a financial lease,5 with the asset under financial lease showing as a license, that is, an intangible nonproduced asset. B.2 Intangible Nonproduced Assets

23. The valuation of intangible nonproduced assets in the 1993 SNA is as follows: “Whenever possible, intangible [nonproduced] assets should be valued at current prices when they are actually traded on markets. Otherwise it may be necessary to use estimates of the present value of the expected future returns to be received by the owners of such assets. For purchased goodwill, valuation should be acquisition cost less accumulated amortization (appropriately revalued).” (13.63)

24. The gains/losses from changes in the value of the assets are recorded in the revaluation accounts and other changes in volume, and include write-off and, for goodwill, amortization.6 C. Financial Assets

C.1 Loans

Valuation of loans

25. At the time the loans are issued, their valuation is similar to that on bonds, with the price reflecting a rate of discount that embodies market interest rate and a risk premium specific to the loan maturity structure (maturity premium) and to the borrower (default risk premium).

26. However, unlike bonds that are constantly revalued throughout their life to reflect changes in market interest rates and in the underlying risks of the instruments, the 1993 SNA bases the value of the loans throughout their life on the contractual price that prevailed at the time they were arranged, adjusted only to take into account interest payable. Such valuation completely disregards the impact of changes in maturity and credit risk that effectively affect the loan value. Unlike other assets in the System where tradability was not an issue in their

5 Please refer to Dippelsman and Maehle, 2001.

6 The valuation of goodwill at cost means that the return from such asset would include only the amortization, and no other valuation due to changes in economic events. This valuation at cost in turn distorts the net worth account, since the value of the latter is obtained residually from balance sheet items that are not valued uniformly.

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valuation, the 1993 SNA justifies a special treatment for loans on the basis of their being nonnegotiable,7 creating a major inconsistency in valuation with other assets in the System.

27. The 1993 SNA essentially values loans as if they represent money, and not as the contractual arrangements that they effectively are:

“The monetary value of some assets and liabilities cash, deposits, loans, advances, credits, etc.—remain constant over time. As already noted, the ‘price’ of such asset is always unity while the quantity is given by the number of units of the currency in which they are denominated. The nominal holding gains on such assets are always zero. For this reason the difference between the values of the opening and closing stocks of such assets is entirely accounted for by the values of the transactions in the assets, this being one case in which it is possible to deduce the latter from the balance sheet figures.” (12.107)

Holding gains/losses and other changes in volume on loans

28. The 1993 SNA loan valuation has, understandably, a major impact on the “other changes” in loans since they must be made equal to zero, which creates further distortion in the System.

29. First, the 1993 SNA does not recognize overall holding gains/losses on loans (see previous quote). However, since loans are “assets of fixed monetary value” (12.108), they are obviously subject to neutral gains/losses due to inflation. In order to maintain the overall nominal gains/losses unchanged, the 1993 SNA has to attribute a value to the real holding gains/losses that has to be equal, with the sign reversed, to that of the neutral gains/losses. This means that changes in inflation would create simultaneously real gains/losses (that should be specific to the assets) of equal value to neutral losses/gains, the latter effectively linked to inflation (general to all assets).

7 Negotiable, a term used in 1993 SNA, represents the likelihood that the asset will be sold quickly (referred to as marketability in financial terms). Marketability, along with some certainty in the expected price, and continuity of price unless due to substantial new information, are components of liquidity. Liquidity, in turn, is simply a characteristic of a “good” market for a given asset, as are information, transaction cost, and external efficiency or information efficiency. For more information on liquidity, please refer to Reilly and Brown,2000, p. 108. The authors suggested, for a more formal discussion of liquidity and the effects of different market systems, Sanford J. Grossman and Merton H. Miller, “Liquidity and

Journal of Finance, Vol. 43, No. 3 (July 1988), pp. 617-33; and Puneet Handa and Robert A. Schwartz, “How best to supply liquidity to a securities market,” Journal of Portfolio Management No. 22 (Winter 1996); pp. 44-51.

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30. Second, the only entries that the System recognizes under the “other volume changes” are either removing loans from the balance sheet, or showing the value of other changes as il.

31. Removal from the balance sheet can occur through two types of volume changes. The first type arises from the creditor’s recognizing that a claim can no longer be collected. In such cases, the loan is to be removed from the balance sheet of both the creditor and debtor (12.51 and 10.140). The second type is a reclassification to securities of loans that provided a potential source of liquidity through securitization, and “by becoming de facto negotiable”(11.75). The resulting securities, either debt or equity, are valued at current market value (13.67 to 13.69 for debt, and 13.73 for shares).8

32. Since the remaining “other volume changes” have to be nil, this means that partial write-off, known in financial accounting as impairment, cannot be accommodated for loans in the 1993 SNA. Impairments are defined as follows by IAS:

“IAS 39 requires that an impairment or bad debt loss be recognized. The impairment calculation compares the carrying amount9 of the financial asset with the discounted present value of the currently estimated amounts and timings of payments. Thus, impairment is recognized if any interest or principal payments are reduced, forgiven, or delayed. The financial instrument's original effective interest rate is the rate to be used for discounting. Any impairment loss is charged to net profit or loss for the period. Impairment or uncollectability must be evaluated individually for material financial assets. A portfolio approach may be used for items that are individually small. [IAS 39.109] Once impairment has been recognized, if the fair value of the financial asset increases in a subsequent period such that the impairment loss is reduced or eliminated, a reversal of the impairment loss is recognized, up to what the amortized-cost carrying amount would have been at the time of reversal. [IAS 39.114] Impairment is also an issue for a financial asset carried at fair value, particularly if the fair value change is reported directly in equity. IAS 39 requires that impairment be assessed for these financial assets as well and, if impaired, any loss reported in equity is charged against net profit or loss.” 10

8 It should be noted that provisioning and unilateral repudiation of loans by a debtor are not recognized by the 1993 SNA, whereas the cancellation of debt by mutual agreement is recorded as a capital transfer and a financial transaction (10.139).

9 The carrying amount is the acquisition value adjusted with interest payable, as calculated with the effective interest rate method (the debtor principle).

10 Deloitte, Touch, Tohmatsu, IAS Plus Standards: IAS 39, Financial Instruments: Recognition and Measurement , p. 9.

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33. Problems associated with the 1993 SNA valuation of loans have been recently the subject of a paper11 for cases where the loans become nonperforming, that is, when the debtor fails to respect the contractual arrangements.

34. The 1993 SNA loan valuation not only creates problems of consistency within the System, it may also lead to major problems of interpretation of the accounts, especially under conditions of high current interest rates caused by either high inflation or default risks, or both. These problems may be highly policy–relevant, as evidenced by new research results that stress the importance of balance sheet information:

“This paper examined the probability and intensity of financial crises during the 1990s with a view to improve crisis prevention and mitigation policies…. The importance of corporate liquidity is a novel result, and suggests that governments should have corporate sector balance sheet sufficient in quantity, quality and timeliness to alert them in crisis threats.”12

Interest on loans

35. The 1993 SNA valuation of loans does not affect, however, the interest to be recorded in the income account, defined as:

“Under the terms of the financial instrument agreed between them interest is the amount that the debtor becomes liable to pay the creditor over a given period of time without reducing the amount of principal outstanding.” (7.93)

36. Although the 1993 SNA does not explicitly say so, the logic of the System would imply that the interest would need to be accrued even if not paid at least for the period under contract. The System recognizes interest payable after due payment date as arrears:

“When accrued interest is not paid when due on financial asset, this gives rise to interest arrears. As accrued interest is already recorded in the accounts under the appropriate asset or under this category [Other ,F.79], no separate entry for such arrears is required. When they are important it may be useful to group all arrears of interest and repayment under a memorandum item.” (11.101)

11 Please refer to Bloem and Gorter, 2001.

12 Stone and Weeks, 2001, p. 21.

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Return from loans

37. The return from loans will only cover the interest accrual and no holding gains/losses. The other changes in volume that arise from write-offs can be factored in as part of the return. However, this would not apply to the other changes that may reflect the reclassification of loans to securities In other words, the return from loans would be distorted from that compiled for other assets because of the substantial differences in valuation. C.2 Equities

Valuation of equities

38. The 1993 SNA calls for equities to be valued at current prices from traded markets, or “using the prices of quoted shares that are comparable in earnings and dividend history and prospects, adjusting downward, if necessary, to allow for the inferior marketability or liquidity of unquoted shares.” (13.73)

39. Corporate finance uses basically two models to value equities at market prices: the dividend discount model (DDM), and the capital asset pricing model (CAPM).13 The DDM, which can be used for stocks paying or dividends, is forward looking, in that the value of the stock is based on a required rate of return on the investment, and assumes a constant annual growth, based on the dividend payout ratio, the profit margin, the asset turnover, and the equity multiplier. The required rate of return is based on current interest rate, and the risk premium specific to equity being valued (along similar lines as that on bonds). While the CAPM also values equity on the basis of characteristics that are specific to the equity, a fundamental difference from the DDM is that it takes into account the relationship of the equity to be valued with other equities in the market (covariance measured by the “Beta” factor).

40. Unlike bonds, the cash flows (in the form of dividends) on equities are not set at the time of issue, and equities do not have maturity dates (except preferred stocks that are treated as debt instruments in the 1993 SNA). However, as with bonds, the value of the equity is affected by current interest rates, although the relationship is less straightforward, given the complexity of the factors that affect equities. Income from equities

41. In the 1993 SNA, the income from equities is recorded along the same lines as that from debt instruments:

“Dividends for instance are recorded as primary income independently of the fact that the financial capital invested in buying shares can see its value in real terms varying as the relative prices of shares. Thus dividends are recorded as they are even when the

13 For more details, please refer to Brigham and Houston, 1998, chap. 8.

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owners of shares incur real holding losses, that is, when their capital is not kept intact. Conversely, dividends are not increased when their recipients obtain real holding gains in addition to keeping their capital intact.”14 “For example, if the value of a share increases because of the increased performance of the company concerned, the increase in the share will be related to the increase in dividends expected in the coming years. To count both as income would be to count the same amount twice.”15

Return from equities

42. As is the case with bonds, the return on equities can be calculated as the income plus the changes in the value of equities that come from volume and holding gains/losses.

“Nobody would take dividends as the full return to equity when analyzing the performances of various types of financial assets. The same holds true to interest prime. Nevertheless, both dividends and interest prime are relevant for the SNA current accounts which to date do not try to measure the full return on assets.”16

D. Recapitulation of Rates Terminology for Contractual Assets

43. To recapitulate, Box 5 presents the terms used to refer to the rate used to discount the expected benefits.

Box 1. Terminology related to rates prevailing in the life of assets under contractual arrangements used for different assets Produced

assets Nonproduced assets

Financial debt instruments

Financial equity instruments

Contractual benefits Rental Rent Contractual interest

Dividends

Discount rate at the time the asset was leased/lent/bought

Original effective discount rate

Original effective discount rate

Original effective interest rate

Cost of capital

Discount rate that reflects the value changes in assets during the contractual period

Current discount rate

Current discount rate

Yield to maturity

Current cost of capital

14 Vanoli, 1999.

15 The Canberra Group, Expert Group on Household Income Statistics, p. 24.

16 Vanoli, 1999, p. 284.

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44. The terminology varies depending upon the types of assets under contract, and the timing at which the assets were valued, but the underlying reality is the same across the various assets. The discount rate is the internal rate of return (IRR) that ensures equality between the present value of expected cash flows and the current valuation of the asset. The IRR that prevails at the time of the inception of the asset obviously differs from the rate that reflects the valuation changes in the contracted asset (called yield to maturity in the case of bonds).

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APPENDIX 2:ILLUSTRATION OF CHANGES IN THE VALUE OF BOND

1. By means of a table and equations, this appendix illustrates the values of a bond in order to show how the value changes are accounted for by the creditor and the debtor treatments.

Table 1: Value over 5 years of a 6% coupon bond issued at par with yield to maturity that changes to 5% at the end of the first year

Year Year opening value

Interest expense

(creditor)

Val. changes

(creditor)

Interest expense

(debtor)

Val. changes

(debtor)

Year closing present value

(1) (2) (3) (4) (5) (6) (7)

1 1000 60 35 60 35 1035

2 1035 52 60 -8 1027

3 1027 52 60 -8 1019

4 1019 51 60 -9 1010

5 1010 50 60 -10 1000

265 35 300 0

2. The value at the beginning of every year can also be expressed algebraically: PV1 60/(1+0.06) 60/(1+0.06)2 60/(1+0.06)3 60/(1+0.06)4 60/(1+0.06)5 1000/(1+0.06)5

1000 56.60 53.40 50.38 47.52 44.84 747.26

PV2 60/(1+ 0.05) 60/(1+0.05)2 60/(1+0.05)3 60/(1+0.05)2 1000/(1+0.05) 4

1035 57.14 54.42 51.83 49.36 822.70

PV3 60/(1+ 0.05) 60/(1+0.05)2 1000/(1+0.05) 3

1027 57.14 54.42 51.83 863.64

PV4 60/(1+ 0.05) 60/(1+0.05)2 1000/(1+0.05) 2

1019 57.14 54.42 907.03

PV5 60/(1+ 0.05) 1000/(1+0.05) 1

1010 57.14 952.38

1000 1000/(1+0.05) 0

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3. The creditor approach recognizes the $35 as revaluation changes in the first year, when interest rates changed; it does not however recognize the $8, $8, $9, and $10 in the subsequent years when interest rates are stable. The latter changes are, however, of the same nature as those recorded ($35) in the first year. These changes reflect the intrinsic nature of bonds, where many forces are at play, of which changes in market interest rates are only one. The decrease in value of $8 between Year 3 and Year 2 is made up of two parts: first, an increase in the value of the bond (2.72 + 2.59 + 2.47 +41.14) due to benefits in Year 3 expected sooner than in Year 2 (shorter period of deferred consumption); second, a decrease of value of 57.14 due to one fewer expected benefit (volume loss). Together these two changes leads to the $8 decrease in the value of the bond. 1035 (Year 2) 57.14 54.42 51.83 49.36 822.70

1027 (Year 3) 57.14 54.42 51.83 863.64 -8 -57.14 +2.72 +2.59 +2.47 +41.14

4. If the market interest rate had remained constant at 6 percent throughout the life of the bond, the bond would still have been subject to the same valuation forces, but they would have cancelled out, leaving the value of the bond unchanged (shown below for Year 3 and Year 2).

PV1 60/(1+0.06) 60/(1+0.06)2 60/(1+0.06)3 60/(1+0.06)4 60/(1+0.06)5 1000/(1+0.06)5

1000 56.60 53.40 50.38 47.52 44.84 747.26

PV2 60/(1+ 0.06) 60/(1+0.06)2 60/(1+0.06)3 60/(1+0.06)4 1000/(1+0.06) 4

1000 56.60 53.40 50.38 47.52 792.10

PV3 60/(1+ 0.06) 60/(1+0.06)2 60/(1+0.06)3 1000/(1+0.06) 3

1000 56.60 53.40 50.38 839.62

PV4 60/(1+ 0.06) 60/(1+0.06)2 1000/(1+0.06) 2

1000 56.60 53.40 890.00

PV5 60/(1+ 0.06) 1000/(1+0.06) 1

1000 56.60 943.40

1000 1000/(1+0.06) 0

1000 (Year 2) 56.60 53.40 50.38 47.52 792.10

1000 (Year 3) 56.60 53.40 50.38 839.62 0 -56.60 +2.20 +3.02 +2.86 +47.52

5. The treatment under the debtor approach remains consistent throughout the life of the bond by incorporating the impact of real interest rate, inflation anticipation, and risk premium, not only in the first year but also in subsequent years when they continue to be at play.

6. As can be seen from the table below, the gain of $35 is a mixture of the same offsetting forces as those described when the market conditions are stable, plus additional forces brought about by decrease in the market interest rate to 5 percent.

1000 56.60 53.40 50.38 47.52 44.84 747.27

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1035 57.14 54.42 51.83 49.36 822.70 35 -56.60 +3.74 +4.04 +4.31 +4.50 +75.43

7. The decline of $35 can be due to a number of factors, either lower inflation expectation (nominal holding gain), lower credit risk of the issuer (real gain), or lower risk-free real rate of interest (real gain). The 1993 SNA calls for the impact of all these factors to be recorded as nominal holding gains/losses, which the debtor treatment does. The creditor treatment treats some of these changes as revaluation during a period of changing interest rate, but as income when the rate is stable, as shown below. Income (debtor) Revaluation

Year 1: 60 35 Year 2: 60-8 = 52, Year 3: 60-8 = 52, Year 4: 60-9= 51, Year 5: 60-10= 50.

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APPENDIX 3: HOW IAS 39 COMPARES TO THE 1993 SNA

1. The creditor treatment draws extensively from corporate financial accounting, notably the “fair value” of financial assets as promoted by IAS 39. The IAS 39 is here briefly compared to the 1993 SNA. The main difference between the two accounting systems is the key role given to revaluation accounts in the SNA; in corporate financial accounting, reevaluations of assets are shown in the income statement or in equity. IAS 39 values financial assets according to three possible valuations: fair value, amortized cost, and at cost in exceptional cases. The fair value is extensively used, encompassing the following financial assets: investment held for maturity, such as fixed maturity investment; financial assets held for trading, including derivatives for trading; and available for sale financial assets.

2. Under fair value, both the 1993 SNA and the IAS 39 record the same value in terms of assets; however, the IAS 39 differs from SNA on five points:

• shows valuation changes as income/equity (versus other changes in assets accounts in the 1993 SNA);

• records as income on debt security the valuation changes on assets plus the market interest rate applied to the fair value (contractual interest arrangements in the 1993 SNA, with the valuation changes reflected in other changes in assets accounts);

• records dividends and change in the value of equity as income (only dividends recorded as income in the 1993 SNA);

• records the changes in the value of derivatives as income (completely excluded from income in the 1993 SNA, where such changes are recorded in the accumulation accounts and balance sheet items); and

• shows financial assets at fair value, whereas financial liabilities are measured at original recorded amount less principal repayments and amortization of discounts and premiums; this creates asymmetry (the 1993 SNA is symmetric in its valuation).

3. Originated loans and receivables that are not held for trading, and some held-to-maturity investments are measured at amortized cost, less reductions for impairment or uncollectibility. Amortized cost means after amortization of premium or discount arising at initial acquisition using the effective interest method. It should be noted that corporate accounting values nonfinancial assets largely at cost, unlike the 1993 SNA, where such assets are at market value.

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REFERENCES

Bloem, Adriaan M., and Cornelis N. Gorter, 2001, “The Statistical Treatment of

Nonperforming Loans in Macroeconomic Statistics,” IMF Working Paper 01/209 (Washington: International Monetary Fund).

Brigham, Eugene F., and Joel F. Houston, 1998, Fundamentals of Financial Management (The

Dryden Press, Harcourt Brace College Publishers, 8th ed.) Damodaran, Aswath, 1996, Investment Valuation: Tools and Techniques for Determining the

Valuation of any Asset (New York: John Wiley & Sons). Deloitte, Touche and Tohmatsu, 2001, IAS Plus Standards: IAS 39, Financial Instruments:

Recognition and Measurement , pp. 34-57. Available via the Internet: (htt://www.iasplus.com/standard/ias39.htm).

Dippelsman, Robert J., and Nils O. Maehle, 2001, “Treatment of Mobile Phone Licenses in the

IMF Working Paper (Washington: International Monetary Fund). Fabozzi, Frank J., 2000, Fixed Income Analysis for the Chartered Financial Analyst Program (Pennsylvania: Frank J. Fabozzi Associates). Inter-Secretariat Working Group on National Accounts (Commission of the European

Communities, International Monetary Fund, Organization for Economic Cooperaton and Development, United Nations, World Bank), System of National Accounts 1993, Brussels/Luxembourg, New York, Paris, Washington, D.C.

Joise, John, and Chris Wright, 2001, “Statistical Treatment of Accrual of Interest on Debt Securities,” IMF Working Paper 01/132 (Washington: International Monetary Fund). Organization for Economic Cooperation and Development, 2001, Measuring Capital: A Manual on the Measurement of Capital Stocks, Consumption of Fixed Capital and Capital Services, unclassified (OECD). Price Waterhouse Coopers, 2000(?), International Accounting Standards: Financial

Instruments: Understanding IAS 39. Available via the Internet: http://www.pwcglobal.com/extweb/pwcpublications.nsf.

Reilly, Frank K., and Keith C. Brown, 2000, Investment Analysis and Portfolio Management ,

(The Dryden Press, Harcourt College Publishers, 6th ed.). Stone, Mark R., and Melvyn Weeks, 2001, “Systemic Financial Crises, Balance Sheets, and

IMF Working Paper 01/162 (Washington: International Monetary Fund).

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The Canberra Group, 2001, Expert Group on Household Income Statistics: Final Report and Recommendations (Ottawa). Vanoli, André, 1999, “Interest and Inflation Accounting,” Review of Income and Wealth,

Series 45, No. 3 (September).