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    an introduction tocallable debt Securitie

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    Table of ConTenTs

    1 Introduction

    2 CharacteristicsofCallableDebt

    5 FannieMaeCallableDebtReverse InquiryProcess

    7 Y ie ld Calcu lationsforFannieMaeCallables

    12 AnalyzingtheComponentsof Cal lableDebt

    18 WhyInvestorsBuyCa llable Debt

    20 CallProcess

    24 Conclusion

    25 Glossary

    29 Figures

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    InTodCTIon

    annie Mae is a leader in the $11.5 trillion U.S. home mortgage market. Te

    company furthers its housing mission by providing liquidity to the secondary

    mortgage market and promoting homeownership to low- and moderate-

    income families through portfolio purchases of mortgage loans and its MBS

    issuance. o fulll its ongoing funding needs for the mortgage portfolio, Fannie Mae

    issues debt in domestic and global capital markets.

    Fannie Mae issues a variety of debt securities with maturities across the yield curve

    including short-term debt with maturities of one year or less and long-term debt with

    maturities of over one year. o eectively manage the interest rate and prepaymentrisks inherent in a mortgage portfolio, Fannie Mae issues noncallable and callable debt

    securities. Callable debt is one of the most important nancial tools Fannie Mae uses to

    match the duration of its liabilities to that of its mortgage assets when mortgages

    prepay. By issuing callable debt, the company gains protection against declining

    interest rates that tend to cause the mortgage assets of the companys portfolio to

    prepay more quickly. Fannie Mae can then redeem the companys currently callable

    debt to match the liquidations of the companys mortgage assets, thus keeping the

    duration of the companys assets and liabilities closely in line.

    Callable debt securities also oer investors the opportunity to potentially earn

    enhanced returns in exchange for taking call risk or selling convexity. Fannie Mae takesvery seriously its role in being a exible, responsive and ecient issuer of callable debt

    securities and providing investors adequate information to facilitate trading and

    investment of these securities. Te companys callable debt securities issued in the cash

    market have maturities ranging from one year to thirty years and call lockout periods

    ranging from three months to ten years or longer. Fannie Maes callable debt is brought

    to market mainly through a daily reverse inquiry process involving investors, dealers

    and Fannie Mae. Fannie Mae provides exibility to investors seeking customized

    structures on a reverse inquiry basis based on a need for a specic coupon, maturity

    date, call date or call feature. Terefore, Fannie Mae issues a diverse group of callable

    securities with a variety of nal maturities and call lockout periods resulting in securi-

    ties with a wide range of duration and convexity proles. Dierent types of investors

    are able to structure callable securities that match their investment criteria and interest

    rate outlooks.

    In 2009 and 2010, Fannie Mae issued approximately $191.8 billion and $309.3

    billion, respectively, of callable securities.

    F

    Introduction 1

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    HdIn Gos H

    CALLABLEDEBTFEATRE

    Tree main structural characteristics of Fannie Mae callable debt securities are the

    maturity date, the lockout period and the call feature.

    Te maturity date of a callable debt instrument is the latest and nal possible date

    at which the security will be retired and principal will be redeemed. Fannie Mae issues

    callable debt instruments with a variety of maturity dates along the yield curve.

    Te lockout period refers to the amount of time for which a callable security cannot

    be called and only interest coupon payments are received by the security holder. For

    example, with a 10-year noncall 3-year (10nc3) debt security, the security cannot

    be called for the rst three years.

    Te call feature refers to the type of call option embedded in a callable security.

    Fannie Mae callable debt securities most often incorporate one of the following

    call features:

    n Fannie Mae issues continuously callable or American-style callable debt which

    can be called after an initial lockout period until maturity date. Te investor is

    compensated for this continuous call feature by receiving a higher yield than on

    comparable maturity noncallable debt in exchange for allowing Fannie Mae the

    exibility to call the security at any time after the lockout period, until the nal

    maturity date, with the requisite amount of notice given to the investor.

    n Fannie Mae issues callable debt with a one-time or European-style call feature. Tis

    call option can only be exercised by Fannie Mae on a single day at the end

    of the lockout period. European-style callable securities provide the investor

    an opportunity to obtain a greater spread over a typical Fannie Mae noncallable

    debt security of the same maturity while reducing the cash ow uncertainty of

    a continuous call structure. Te spread of a European-style callable security

    will, however, be somewhat lower than an American-style callable security that

    has the same maturity and lockout period.

    n Fannie Mae issues Bermudan-style callable debt securities which are callable only

    on a predetermined schedule of dates, usually on the coupon payment dates after

    the conclusion of the lockout period. Investors benet from the increased

    predictability of cash ows. Te spread of a Bermudan-style callable will typically

    be greater than the spread of a European-style callable, but less than that of an

    American-style callable with the same maturity and initial lockout period.

    Fannie Mae

    issues callable

    debt instruments

    with a variety

    o maturity

    dates along the

    yield curve.

    CHCTIsTICs of Cb dbT

    2 Character istics ofCa llable Debt

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    n Fannie Mae issues Canary-style callable debt securities which incorporate the

    call features of both Bermudan-style callables and European-style callables.

    Following its lockout period, a Canary-style callable becomes callable for a

    designated period of time during which Fannie Mae can call it back on a prede-

    termined schedule of dates much like a Bermudan-style callable. However, once

    this designated call period concludes, the security is no longer callable. Te spread

    of a Canary-style callable will be greater than the spread of a European-style

    callable, but less than that of a Bermudan-style callable with the same maturity

    and initial lockout period.

    CALLABLEDEBTTRCTRE

    In addition to straightforward, xed-rate structures, Fannie Mae has the ability to issue

    callable oating-rate notes, callable step-up notes and callable zero-coupon notes.

    CallableFloating-RateNotes

    Fannie Mae can issue callable oating-rate notes which have a coupon that is typically

    tied to a major benchmark index. Investors are able to customize a security with features

    such as size, interest rate benchmark index or maturity. Tere are several oating rate

    indices from which an investor can choose, including three-month reasury Bills,

    Prime, Daily Fed Funds, one-month LIBOR, three-month LIBOR, Weekly Fed Funds

    and Weekly Constant Maturity reasury. Depending upon the chosen index, various

    index reset and interest rate payment frequencies are available.

    Callabletep-upandtep-downNotes

    Fannie Mae has the ability to issue callable step-up and step-down notes which are

    variations of standard xed-rate callable debt securities. Tey are structured with a

    coupon that increases or decreases to a specied rate on one or more predetermined

    dates, typically on interest payment dates. Fannie Mae callable step-up and step-down

    notes generally become eligible for redemption by Fannie Mae at the time of the rst

    step-up or step-down.

    CharacteristicsofCallableDebt 3

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    CallableZero-CouponNotes

    Fannie Mae also issues zero-coupon callable debt securities. Zero-coupon notes are debt

    securities on which no coupon interest is paid to the investor. Rather, the security is

    purchased at a discounted dollar price and matures at par. If the option on a callable

    zero-coupon security is exercised, it is redeemed at a higher dollar price than the original

    issue price. Te yield for a callable zero-coupon security is based on the dierence

    between the original discounted price and the principal payment at the call date.

    4 Character istics ofCa llable Debt

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    A variety of investors participate in the reverse-inquiry callable debt issuance process,

    attracted by the ease with which specic structures can be created to suit particular

    investor needs, market views, and specications. Investors can structure callable debt

    securities designed to achieve certain coupon targets or purchase them based on relative

    value considerations. Frequently, investors have specic maturity date and call date

    requirements, and sometimes have preferences for specic call features (European-style,

    American-style, Bermudan-style, or Canary-style).

    Fannie Mae has the exibility to structure callable debt to meet investor preferences

    and works closely with underwriters to price, provide feedback to and execute callablenote structures with its dealer underwriters for investors. In addition, the reverse

    inquiry process enables investors to obtain the structure of their preference in an

    ecient and timely manner. Fannie Mae is able to issue callables with a wide variety of

    maturities and call dates because of the wide range of optionality that is acceptable for

    the companys asset/liability management needs. Since there is often no need to arrange

    a simultaneous interest rate swap converting the callable issue into a oating rate

    liability, it is more straightforward for dealers to underwrite Fannie Mae callables than

    the callables of other issuers. Tis results in more ecient pricing and quicker

    execution.

    Investors who have interest in specic callable structures typically have discussionswith dealers as to the coupon targets, maturity, call date, and call feature parameters.

    Sometimes a reverse inquiry transaction is driven by a single investor, which is directed

    to Fannie Mae by one or more dealers. Alternatively, sometimes a transaction is

    structured for a larger size than any single investors interest. Tis is because the dealer

    observes a larger amount of general demand for that structure. Fannie Mae will in turn

    analyze the terms of the structure and give feedback to the dealer, and if appropriate,

    provide a price or spread level at which the transaction can be executed. Te terms

    of a proposed structure are evaluated against internal benchmarks to enable Fannie Mae

    to reach a decision promptly. Fannie Mae attempts to provide the quickest possible

    feedback and turnaround to dealers in this respect.

    Te reverse

    inquiry process

    is kept as exible

    as possible so as

    to enable investors

    to meet their

    needs or callable

    investments inthe most air

    and transparent

    manner.

    fnnI M Cb dbT Vs InQIY PoCss

    FannieMaeCallableDebtReverseInquiryProcess 5

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    Fannie Mae may bring together several dealers to form a single, larger co-underwritten

    callable notes transaction if they have similar interests in a callable structure.

    Terefore, investors can obtain the benet of better liquidity and tradeability from the

    larger issue size and broader dealer sponsorship of the transaction. Larger issues may

    qualify for inclusion in the broad bond indices, such as the Barclays Capital U.S.

    Aggregate Bond Index, which has a minimum outstanding size of $250 million for

    inclusion in the index. For these reasons, the funding group at Fannie Mae strongly

    encourages this type of coordination among its underwriting dealers.

    Fannie Mae issued approximately $309.3 billion callable medium-term notes(MNs) in 2010 via the reverse inquiry process. As mentioned earlier, Fannie Mae is

    focused on the issuance of callable MNs that are $250 million or larger issue sizes

    with multiple dealer underwriters. Terefore,figure 1 illustrates, of the total $309.3

    billion callable MNs, $69.7 billion were issued with at least two dealer underwriters

    and in 139 transactions.

    FANNIEMAECALLABLEDEBTINCLDED

    INBONDINDICE

    Fannie Mae callable debt securities are included in most of the major domestic and

    international bond indices incorporating U.S. dollar high credit quality securities, suchas those published by Citigroup, Barclays Capital, Bank of America Merrill Lynch, and

    others. Tis is of particular benet to those investors who determine their allocations to

    various xed-income asset classes in their portfolios based on the composition of an

    index.

    6 FannieMaeCallableDebtReverse InquiryProcess

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    YIELDCALCLATION

    When calculating the yield or internal rate of return (IRR) of a callable structure, there

    are three primary methods that an investor may use: yield-to-maturity, yield-to-call, and

    yield-to-worst. When making purchase decisions based upon yields, it is important to

    understand which of the three methods has been used in deriving the stated yield and

    how changes in the yield curve will aect the nal yield performance of the security.

    Yield-to-maturity

    Te yield-to-maturity calculation assumes that the debt security is not called and the

    investor holds the bond to its nal maturity date. Te yield is calculated from the cash

    ow at maturity and the periodic interest payments generated by the bond (reinvested

    at a rate equal to the bonds yield-to-maturity). When prevailing interest rates are

    higher than the coupon on the bond, it is assumed that the issuer will not call the

    bond. Under these circumstances, yields are commonly quoted using the yield-to-

    maturity method.

    Yield-to-call

    Te yield-to-call calculation assumes that the bond is called on the next eligible call date.

    Te yield is calculated from the cash ows of the coupon payments plus the cash ow of

    the redemption proceeds at the time of the call. When prevailing interest rates are lower

    than the interest rate on the issue, it is assumed that the issuer will call the security.

    Accordingly, in such circumstances, yields are sometimes quoted on a yield-

    to-call method.

    Yield-to-worst

    A more conservative alternative to the yield-to-call method is the yield-to-worst

    method. Many bonds are continuously callable after their rst call date (American-style

    call feature). Because of the uncertainty of the call date, the yield-to-worst method was

    developed. o derive a yield-to-worst, a yield-to-call is calculated for the initial call date

    and each coupon payment thereafter. Additionally, a yield-to-maturity calculation is

    also performed. Te yield-to-maturity calculation and all of the yield-to-call calculations

    are then reviewed with the lowest yield from the group designated as the yield-to-worst.

    YId CCTIons fo fnnI M C bs

    YieldCalculationsForFannieMaeCallables 7

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    PRICINGFRAMEWORKOPTION-ADJTEDPREAD

    (OA)ANALYI

    Callable debt is usually priced and evaluated using an OAS framework similar to that

    used for other option-embedded securities with cash ows that are sensitive to changes

    in interest rates. Because a callable debt security consists of a bullet component and a

    call option component, OAS provides investors with a methodology to analyze a

    callable debt security by factoring out the yield premium associated with the call

    option. Te OAS of a callable debt security is expressed as a spread over a noncallable

    yield curve such as Fannie Maes noncallable Benchmark Notes yield curve, the

    reasury yield curve, or the interest rate swaps curve. Te OAS analysis framework is

    based on a forward rate curve derived from the noncallable yield curve employed,

    volatility assumptions, and the current security price. An OAS model generates the

    average spread over the forward curve under a number of possible future interest rate

    paths. For many xed-income investors, OAS is one of the more useful measurements

    for assessing value in a callable debt security. Investors also compare the OAS of a

    callable debt security to the option-adjusted or bullet spreads of other xed-income

    securities in analyzing investment decisions and relative value.

    o calculate an OAS that most accurately captures the value of a callable debt

    security, investors must incorporate their views with respect to future interest ratevolatility. Volatility represents the amount of interest rate uctuation that is expected

    over a given period of time. Te expectation of future rate volatility may be inuenced,

    or determined in part, from historical measures of volatility. A more detailed discussion

    of the measurement and impact of interest rate volatility as it relates to Fannie Mae

    callable debt is provided later in this section. Meanwhile, Bloomberg oers an easy and

    eective method for calculating the OAS of a specic callable debt security. Investors

    with access to Bloomberg terminals can analyze option-adjusted spreads through the

    OAS1 screen by entering a yield curve, implied volatility and price, and setting the

    Calculate box to O for OAS. Te price or volatility can be calculated instead of the

    OAS just as easily by plugging in the remaining two parameters and changing theCalculate box accordingly.

    Any standard OAS calculator will return a value for implied volatility, price, or the

    OAS, given the other two parameters and the yield curve as inputs. Tese values are

    quickly accessible and easy to interpret, with no assumption on prepayments or other

    models for cash ows.

    8 YieldCalculationsForFannieMaeCal lables

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    BLOOMBERGAOACREENFORCALLABLE

    MEDIM-TERMNOTE

    Securities Industry and Financial Markets Association (SIFMA) guidelines were

    introduced in late 2003 for pricing and trading European-style callable U.S. agency

    debt securities. Fannie Mae believes this development further enhances the transpar-

    ency and liquidity of callable debt securities in both the primary and secondary

    markets. Te SIFMA guidelines incorporate skew into the volatility assumption and

    recommend the use of the Black Scholes model as the OAS-to-price calculation

    convention. Te volatility skew adjustment corrects the value of those options that are

    not at-the-money. Bloombergs AOAS screen incorporates the SIFMA guidelines and

    enables investors to value Fannie Mae callable debt securities relative to an up-to-the-

    minute Fannie Mae constant maturity yield curve derived from a live noncallable

    Benchmark Securities yield curve.

    Te guidelines recommend the use of a single credit issuer specic constant

    maturity curve, and the relevant swaption volatility to price the callable bond on an

    OAS basis. For example, in analyzing a Fannie Mae callable debt security, Fannie

    Maes noncallable Benchmark Securities constant maturity yield curve should be used.

    Te criteria is limited to callable securities that have European-style (one-time) call

    options, and are callable at par only on the call date. Also, they are only callable on acoupon date.

    o perform analyses on these securities, investors may change several of the variables

    while in AOAS, including the Yield Curve, At-the-money Volatility, OAS, Price, and

    Settlement Date. Only the Skew Adjusted Volatility and the Forward Strike rate may

    not be over ridden. Additionally, AOAS requires that the investor enter either an OAS

    or Price to solve for the other, i.e. enter OAS to solve for Price and vice versa. Te

    securitys CUSIP may be used to bring the security into AOAS for analysis by typing

    the Fannie Mae CUSIP number AOAS . Pleae ee figure 2.

    YieldCalculationsForFannieMaeCallables 9

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    Detailsofeachvariableareprovidedbelow:

    The Ctat Maturity Yiel Curve: Te default constant maturity yield curve in

    AOAS for Fannie Maes callable debt is Fannie Maes noncallable Benchmark Securities

    constant maturity yield curve. For other agencies European callable notes, the default

    yield curve is typically their respective bullet yield curve or, alternatively, the swaps

    curve. Te maturities dening the curve include 3-months, 6-months, 1-year, 2-years,

    3-years, 4-years, 5-years, 7-years, 10-years, 20-years and 30-years. Te entire

    Benchmark Securities yield curve is fed to Bloombergs AOAS screen, except for the

    20-year maturity yield. In the case of the 20-year maturity yield, Bloomberg will use

    a straight-line interpolation between 10-year and 30-year bullet Benchmark yields.

    Te yields provided on Bloombergs AOAS screen are populated by using the

    average bid-side yields from contributing broker-dealers for Fannie Mae Benchmark

    Notes. Tese yields are then designated to corresponding maturity points on Fannie

    Maes constant maturity yield curve and are continually updated throughout the

    business day. Yields may be refreshed within the AOAS screen by selecting the refresh

    button on the bottom-right of the screen. Te underlying securities that make up the

    constant maturity yield curve may be viewed in Bloomberg by typing AGPX .

    Te column labeled Adjust shows the constant maturity adjustment spreads. Te

    adjustment spreads are calculated by subtracting the constant maturity yield from theactual yield for the same maturity point. Te constant maturity calculation used for

    AOAS has been recommended by the SIFMA.

    Investors can also use the AOAS screen to evaluate a security with the swaps curve

    or the constant maturity reasury curve by substituting these curves for the Benchmark

    Securities default yield curve.

    t-the-mey Vlatility: Within the AOAS screen, the default volatility will be the

    mid-market at-the-money volatility for a comparable European-style option as quoted

    by the inter-dealer brokerage rm ullett & Prebon. Te ullett & Prebon swaption

    volatilities are found in Bloomberg by typing SV 1 2 , forUnited States Dollar Swaption Volatilities or on the Reuters iCap page 19902. Te

    ullett & Prebon swaption volatilities are updated throughout the day and fed directly

    into Bloomberg. Investors may override the default volatility assumption that appears

    in AOAS by changing it to any desired value.

    10 YieldCalculationsForFannieMaeCallables

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    skew jute Vlatility: Te at-the-money volatility input in the AOAS model is

    adjusted for skew resulting in a Skew Adjusted Volatility that more accurately reects

    current market conditions. Te at-the-money volatility input in AOAS is adjusted

    according to a normalized adjustment factor developed by Blyth and Uglum of Morgan

    Stanley. Te Skew Adjusted Volatility gure that is displayed in AOAS cannot be

    overridden but may be turned o as indicated by Use Skew Adj Vol eld. However,

    the skew variable may be changed manually but is defaulted, per SIFMA guidelines, to

    1.00. Any change in the skew variable (from 1.00) will result in a dierent calculated

    skew adjusted volatility.

    frwar strike: Te Forward Strike rate shown in AOAS is implied from the

    Benchmark Securities yield curve and is also adjusted up and down by the OAS

    assumption. Te forward yield is implied by the current yield curve for the period

    beginning on the exercise date and ending on the maturity date of the underlying

    swap. Te Forward Strike rate that is displayed in AOAS is not a variable that can

    be overridden.

    settlemet date: Te settlement date for a new issue defaults to the appropriate

    date at the announcement of each issue. For a new issue, Fannie Mae will input thesettlement date. For outstanding issues or reopenings, the default settlement date in

    Bloomberg will need to be veried by the investor. Te SIFMA guidelines recommend

    that the settlement date is not to be greater than three days.

    os a Price: Te OAS of callable debt securities will be priced on an OAS basis

    relative to the noncallable Benchmark Securities yield curve. An investor can input

    an OAS at which a specic transaction is being marketed or an OAS at which an

    investor is interested in buying or selling a callable debt security to get the correspon-

    ding dollar price.

    Conversely, the desired dollar price of a callable debt security may be entered to

    obtain the corresponding OAS. Te assumption for the above calculation is that the

    volatility being used has been set to a desired value but the default volatility is the

    European swaption volatility. It is also possible for the user to calculate an implied

    volatility using the AOAS screen for a given price and OAS level.

    YieldCalculationsForFannieMaeCallables 11

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    By analyzing its components, investors are able to assess the value of callable debt.

    o illustrate this point, we use a par-priced, new issue 5 non-call 2-year (5nc2)

    Fannie Mae European-style callable debt security, which has a ve-year maturity,

    two-year lockout, after which it is redeemable at par, as the example in the following

    discussion. Similar explanations and analogies can be made for other callable structures

    that Fannie Mae issues.

    An investment in a par-priced 5nc2 callable new issue can be thought of as the

    purchase of a 5-year bullet with a coupon equal to the callables coupon (5-year bullet

    component) and the simultaneous sale of an option to call a 3-year bullet two yearsfrom issue date (call option component). Note that the option is being sold on a

    forward bond. Te investor has sold Fannie Mae an option to redeem a three-year

    bond two years from now. Te value of the callable is the dierence in the value

    between these two components:

    Price5nc2callable= Price5-yearbullet PriceCalloption

    KEYPOINTONTHEYIELDCRVE

    Te value of the 5-year bullet component depends on the Fannie Mae 5-year bulletyield. Te call option embedded in a European-style 5nc2 callable depends on the value

    of a forward asset, e.g., a 3-year bond beginning in 2 years (termed for convenience

    a 5/2 forward). Te value of the 5/2 forward is in turn derived from the yields of a

    5-year bullet and a 2-year bullet.

    Tis analysis of the key points on the yield curve can also be used for callable debt

    with an American-style call feature. Te value of the option depends partly on the

    5/2 forward, but because it has a continuous call option, other points on the curve

    must also be analyzed. Tus, the value of the American-style call option would also

    depend on the 5/3 forward, the 5/4 forward, and all other forward points within

    the 2- to 5-year call window.

    nYzInG TH CoMPonnTs of Cb dbT

    12 AnalyzingtheComponentsofCallableDebt

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    DRATIONANDCONVEXITYCHARACTERITIC

    Te eective duration of a callable debt security falls between the eective durations

    of bullets maturing on the call date and the maturity date of the callable debt security,

    respectively. As yields decline, the duration of a callable debt security shortens and

    approaches the duration to call. As yields rise, the duration lengthens and approaches

    the duration at maturity. Although lower yields result in higher prices for xed-income

    securities, with callable debt securities, the percentage price change will be less than for

    equal duration bullets in a falling interest rate environment due to the increased likeli-

    hood of the bond being called. Tis characteristic of a callable debt security is known

    as negative convexity. Tese negative convexity characteristics are also found in most

    mortgage securities and some types of asset-backed securities that have embedded options.

    Fannie Mae typically issues callable debt securities with various eective durations and

    convexities. Fannie Mae also oers a diverse variety of structures in terms of maturities,

    call lockouts, and resulting durations and convexities to investors . figure 3 illustrates

    the convexity and duration proles for several of Fannie Maes most commonly issued

    European-style callable debt structures.

    Fannie Mae

    also ofers

    a diverse

    variety o

    structures in

    terms o

    maturities,

    call lockouts,

    and resulting

    durations and

    convexities to

    investors.

    AnalyzingtheComponentsofCallableDebt 13

    Negative Convexity Segmentof a Callable Debt Security

    Yield

    Positive Convexity of aNoncallable Debt Security

    Price

    100

    Price/Yiel elatihip r a Callale det security

    a a ncallale det security

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    IMPACTOFNEGATIVECONVEXITYON

    FANNIEMAECALLABLE

    Convexity is a feature of xed-income securities that has a direct impact on a securitys

    performance and is useful for comparing bonds. If two bonds oer the same duration

    and yield but one exhibits greater convexity, changes in interest rates will aect each

    bond dierently. Te price of a bond with negative convexity is less aected by move-

    ments in interest rates than a bond that displays positive convexity or does not have

    option embedded features. Comparing two securities with the same nal maturity, a

    callable security with a shorter lockout period would have greater negative convexity.

    For example, for a 5 non-call 3-year security, the longest possible maturity is 5 years and

    the shortest possible maturity is 3 years. As rates increase, the price-yield behavior of

    the callable security approaches that of a 5-year bullet because the call options value

    decreases as the yield moves higher. Conversely, if rates decline, this callable bond

    would exhibit negative convexity in that the security behaves more like a 3-year bullet

    rather than a 5-year bullet because the likelihood of the security being called increases.

    A 5 non-call 1-year security would exhibit negative convexity as well, but this bond

    would behave more like a 1-year bullet as yields fall. Te price sensitivity for a 1-year

    bullet would be less than the price sensitivity for a 3-year bullet for the same change in

    yield. Terefore, as the yield falls on the 5 non-call 1-year security, it would exhibit

    greater negative convexity than would the 5 non-call 3-year security.

    Te length of the lockout period also impacts the performance of callable debt

    securities. If investors accept shorter lockout periods they typically obtain higher yields

    because they are exposed to the risk that their securities could be called for a longer

    period of time. Since the value of a callable debt security is impacted by the value of the

    call option, the length of the lockout option aects the convexity prole of the security.

    It is important to point out that negative convexity is a characteristic of callable debt

    that the investor has the ability to alter by using Fannie Maes reverse inquiry process.

    14 AnalyzingtheComponentsofCallableDebt

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    IMPACTOFINTERETRATEVOLATILITYON

    FANNIEMAECALLABLE

    Interest rate volatility is a market variable that has a signicant impact on the initial

    pricing and returns of Fannie Mae callable debt. Expectations of future interest rate

    volatility, often referred to as implied volatility, result in changes in the valuation of the

    embedded option. For example, expectations of higher future volatility will imply higher

    yields for all callable debt. Alternatively, expectations of lower volatility imply the

    opposite. Many investors base their predictions of future interest rate volatility on their

    perspective of historical interest rate volatility. In addition, forecasts on the fundamental

    health of the economy can be of value in developing predictions of future interest rate

    volatility. A commonly used measure of volatility for Fannie Mae callable debt (particu-

    larly European or one-time callables) is the volatility for a corresponding swaption in the

    over-the-counter derivatives market.

    Investors often buy a callable security because they believe that actual future realized

    volatility will be lower than that implied by the price/yield at which they are able to

    purchase the security. In this way the level of implied volatility at the time of buying a

    callable security can be a key relative value indicator for an investor.

    IMPACTOFYIELDCRVECHANGEANDREHAPINGONFANNIEMAECALLABLE

    Te initial pricing and future returns of Fannie Mae callable debt are also determined

    in part by the initial yield curve and changes in the yield curve over time. Te returns

    of callable debt in a variety of hypothetical future curve shift scenarios (e.g., parallel,

    attening, and steepening) are described below. Te key points on the yield curve that

    aect callable debt securities are those corresponding to a securitys call and maturity

    dates. For instance, the Fannie Mae 5nc2 callable debt security would be aected

    most signicantly by 5-year and 2-year yields. Te investor could obtain from some

    combination of 5-year and 2-year bullets an average eective duration equal to the

    option-adjusted duration of the 5nc2 callable debt security. As a result, the investor

    in a 5nc2 callable debt security can be thought to have synthetic long positions in

    2-year and 5-year bullets. Tis position is often referred to as a synthetic barbell.

    AnalyzingtheComponentsofCallableDebt 15

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    Impactoftheshapeoftheinitialyieldcurveonnewissuepricing

    Te nominal spread of a 5nc2 callable debt security over the 5-year U.S. reasury yield

    increases and declines for two main reasons. One reason is due to changes in perceived

    interest rate volatility, as explained above, and the other is the slope of the yield curve

    between the 2- and 5-year points. Te value of the 5nc2 callable debt security is equal

    to the value of the 5-year bullet minus the value of the call option. A steep yield curve

    implies that expected future yield levels are higher than current levels. Because a call

    option is less likely to be exercised in a high interest rate environment, a steeper yield

    curve between 2 and 5 years makes the call option embedded in a 5nc2 callable debt

    security less valuable and, therefore, results in a lower nominal spread for the 5nc2

    callable debt security. Conversely, a atter curve results in a more valuable call option

    and a higher nominal spread for the 5nc2 callable debt security. Accordingly, investors

    typically demand higher nominal spreads for callables in at yield curves when the

    call option is more valuable and lower spreads in steep yield curves when the call

    option is less valuable.

    Impactofvariouschangesinyieldcurveontotalreturns

    Interest rates and the yield curve can be expected to change over time through

    parallel, attening, and steepening shifts as well as other more complex types of

    yield curve changes.

    16 AnalyzingtheComponentsofCallableDebt

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    Impactofyieldcurvechangesontheperformanceofpremium

    anddiscountcallables

    A callable debt securitys sensitivity to changes in market variables depends on whether

    the call option is in-the-money, at-the-money, or out-of-the-money. Investors can

    determine whether a call option is trading at a premium or a discount by comparing the

    coupon of the callable to the par forward rate implied by Fannie Maes bullet curve.

    For example, the coupon of a 5nc1 would be compared to the 1-year into 4-year par

    forward rate. For a premium callable, which has a coupon that is higher than the

    implied forward rate, the embedded option is in-the-money. Consequently, the

    premium callable will most likely trade on a yield-to-call basis due to the likelihood

    that it will be called. For a discount callable, which trades below par, the embedded call

    option is out-of-the-money and will generally trade like a bullet to maturity. Te more

    a premium callable moves into the money, the more it trades like a bullet with a

    maturity comparable to its lockout period. Conversely, the more a discount callable

    moves out-of-the-money, the more it trades like a bullet with a maturity equal to its

    nal maturity. Tese characteristics of premium and discount callables make their

    prices less sensitive to changes in market variables. At-the-money callables, which trade

    at or near par, exhibit the most sensitivity to changes in interest rates and volatility

    because there is more uncertainty associated with the embedded call option.

    AnalyzingtheComponentsofCallableDebt 17

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    Investors buy callable debt for several dierent, though related, reasons. Most often, the

    goal is to enhance yield or returns in a high credit quality security by taking a specic

    view on future interest rates or volatility.

    Callale et ecuritie eale ivetr t ell iteret rate pti i they

    cat participate i oTC erivative. Many investors are not able to participate

    in the OC options market and, therefore, invest in Fannie Mae callable debt as a way

    to sell options that they would not be able to do otherwise. Te variety of structures that

    Fannie Mae issues make it possible for these investors to use callables for this purpose.

    Callale et ecuritie geerally have hitrically prvie higher

    yiel tha callale et ecuritie maturig either the call ate

    r the maturity ate. Te incremental spread oered by callables over comparable

    maturity bullet securities leads to a greater yield at maturity because of the call option

    embedded in the callable security. However, even in the event the security is called

    before the maturity date, the investment will often provide a greater yield than a bullet

    maturing on the call date.

    Ivetr uy callale t take avatage high os level. As men-

    tioned earlier, given that a callable debt security consists of a bullet component and a

    call option component, OAS provides an investor with a methodology to analyze a

    callable debt security by factoring out the yield premium associated with the call

    option. Te OAS of a callable debt security is expressed as a spread over a noncallable

    yield curve such as Fannie Maes noncallable Benchmark Notes yield curve, the reasury

    yield curve, or the interest rate swaps curve. Investors gain from the alternative OAS

    levelsrelative to Fannie Mae noncallable securities or other corporate securities.

    Ivetr ca have expure t the vlatility callale.When implied

    volatility reaches historically high levels, investors may invest in agency callables if they

    expect a reduction in implied volatility levels.

    The call pti callale et i much eaier t aalye tha the

    prepaymet ehavir mrtgage-relate ecuritie. Fannie Maes

    economic decision to call its securities is an ecient and uniform call decision that is

    generally based on the level of interest rates and where Fannie Mae can issue similar

    duration debt at a lower option-adjusted spread. In addition, given the stated nal

    maturity date of a callable debt security, there is no extension risk with callable debt.

    WHY InVsTos bY Cb dbT

    18 WhyInvestorsBuyCal lableDebt

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    For mortgage securities, investors must evaluate much more complicated and uncertain

    call decisions requiring prepayment forecasts, many of which dier substantially among

    investors even for mortgage loans of similar characteristics. Tese prepayment models

    usually include a host of economic as well as noneconomic factors, and have historically

    diered substantially from actual prepayment experience. Terefore, many investors

    have found the more predictable nature of the call decision along with the structural

    benets and attractive spreads of Fannie Mae callable debt to be an appealing alterna-

    tive to mortgage related securities.

    faie Mae callale et ha hitrically prvie attractive yiel i

    th teepeig a atteig yiel curve evirmet. In a rising yield

    curve scenario, investors may choose to buy callables to outperform noncallable

    securities of the same maturity. Tis is because they expect the callables not to be called

    and, therefore, to outperform noncallable securities of the same maturity. In a stable or

    declining interest rate scenario, or an upward sloping yield curve, investors may expect

    their investments to be called, and therefore buy callables to receive a higher yield up to

    the call date versus a bullet security.

    Iexe ivetr purchae agecy ullet a callale et t matchthe hare thee ecuritie i majr xe-icme iice. Agency debt

    is a sizable component of the major xed-income indices. Many indexed investors

    include callable agency debt in their portfolios to potentially match or outperform

    their benchmark xed-income index.

    faie Mae ha the exiility t tructure callale et with cup

    paymet t meet ivetr pecic ee. Most often, securities are issued

    with semiannual coupon payments, but the frequency of coupon payments can be

    structured to occur monthly, quarterly and annually. Fannie Mae also oers the

    greatest diversity of agency callable debt in terms of maturity dates, lockout periods,

    call features and interest payment dates.

    WhyInvestorsBuyCallableDebt 19

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    As discussed, the callable debt redemption policy for Fannie Mae callable debt typically

    has one of four call features:

    urpeathe issue can be called on only one, pre-determined date.

    bermuathe issue is usually callable only on a pre-determined schedule of dates.

    mericathe issue can be called on the initial call date or any time thereafter

    until maturity.

    Caarythe issue is callable for a designated period of time on a pre-determined

    schedule of dates. Once the designated call period concludes, the issue is no longer callable.

    When a Fannie Mae callable debt issue has reached its call or redemption date, Fannie

    Mae generally can call the issue in whole or in part. As a matter of practice, Fannie Mae

    generally calls its securities issues in whole. Fannie Maes callable redemption policy is

    transparent and relatively easy to understand. It is in the companys interest that

    investors of Fannie Maes callable debt clearly understand why and how Fannie Mae

    callable debt is redeemed.

    Fannie Maes economic decision to call its securities is an ecient and uniform call

    decision based on the level of interest rates.

    For instance, in an environment of falling interest rates, callable securities that havepassed their lockout period are more likely to have the call option exercised. Below is

    an example of the process Fannie Mae uses to determine whether or not to call a debt

    security that has entered its call period. An investor relying on this description should

    be able to develop a good idea of whether or not a security will be called, though

    perfect accuracy in such predictions cannot be assured. Predicting the call decision

    requires knowledge of the current level of yields and spreads for callable and noncall-

    able Fannie Mae debt.

    Fannie Mae performs a theoretical calculation employing a hypothetical par-priced

    currently callable security. If the yield of the hypothetical issue is lower than the yield

    of the outstanding issue, the implication is that the outstanding issue could be called.

    Te yield for this security is calculated using option-adjusted spread models. Te

    theoretical yield-saving calculations are made by referring to the prevailing yield curve,

    so that an investor using the same process should be able to deduce as to the likelihood

    that the callable debt security will be called. Tis yield would be compared to the yield

    of the outstanding callable that is a candidate for redemption, with the latter yield

    being calculated assuming a price equal to its call price, typically at par.

    C PoCss

    Fannie Maes

    callable

    redemption

    policy is

    transparent

    and relativelyeasy to

    understand.

    20 CallProcess

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    As stated earlier, Fannie Mae generally exercises the call option strictly on economicgrounds. If the current interest rate environment supports issuing callable debt at lower

    coupons than existing outstanding callable debt, Fannie Mae will call the higher

    coupon outstanding callable debt and replace the outstanding issue with a new issue

    that has similar characteristics to the old issue.

    In practice, Fannie Mae may replace callable debt that has been called with new

    debt, either callable or noncallable, that diers in maturity or call lockout period. Such

    a dierence between the new and old issues may be dictated by Fannie Maes current

    asset/liability management needs, by relative value considerations relating to the funding

    alternatives available or by investor demand. Occasionally, outstanding callable debt that

    is called may not be refunded at all, particularly if mortgage liquidations are high, and

    there is no need to replace the debt.

    When Fannie Mae determines that the issue should be called, it gives notice in the

    manner set forth in the terms of the securities. Te time between when notice of a call

    is given and when redemption of principal occurs is 10 calendar days.

    It is Fannie Maes general practice to redeem principal on a business day (as dened

    in the terms of the applicable securities). An exception is that if the interest payment

    date is on a non-business day, and the call date of a callable debt security falls on this

    same non-business day, then the bond may be called on that day. Following standard

    industry practice, the redemption payment is made on the subsequent business day.

    Interest on the principal amount redeemed is paid up until the date xed for the

    redemption. If payment is delayed because the date xed for redemption is not a

    business day, additional interest on the principal amount redeemed is not payable

    as a result of the delay. Of course, the terms of any particular issue of securities are

    governed by the applicable documents establishing such terms, and may dier from

    the above information.

    Callale det securitie Calle Cmparale faie Mae det

    Call style CsIP settle mut Cup Maturity Call date structure Ty sprea structure Yieldate Calle date (p)

    European 3136FJ4N8 2/18/10 $100M 3.10% 8/18/15 8/18/10 5.5nc0.5 T5+28 5-yearbullet 1.88%

    Bermudan 3136FJ2Y6 2/18/10 $100M 3.05% 2/18/15 8/18/10 5nc0.5 T5+46 4.5nc0.25Bermudan 2.06%

    American 3136FMTE4 5/18/10 $100M 5.00% 5/18/20 8/18/10 10nc0.25 T10+116 9.75nc1-dayAmerican 4.09%

    CallProcess 21

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    FANNIEMAEWEBITE

    Fannie Mae provides numerous tools and information resources for callable debt

    investors on its web site. Te companys web site provides the most accessible means

    to monitor the call status of the callable debt securities in which they have invested

    or obtain legal disclosures such as the Universal Debt Facility Oering Circular or

    Pricing Supplements. Fannie Maes web site also provides two reports, that are updated

    daily, which detail the companys callable debt securities issued and callable debt

    securities outstanding.

    CallMonitor

    Te Call Monitor allows investors to retrieve information on recently called securities

    or to view currently callable securities. Te Call Monitor allows market participants to

    examine Fannie Maes recent call activity. Using the Call Monitor, debt investors can

    view recently called securities for the trailing three months as well as debt securities that

    are currently in their call period on any particular day. Call Monitor is available on the

    Fannie Mae web site under Debt Securities => Call Monitor.

    niversalDebtFacilityOfferingCircular

    Te Oering Circular for Fannie Maes Universal Debt Facility outlines the general

    terms of Fannie Mae debt securities. Te Oering Circular includes extensive informa-

    tion on Fannie Mae debt securities including a general description of funding

    programs, risk factors, clearance and settlement procedures, and distribution methods.

    Te Oering Circular is located on the Fannie Mae web site under Debt Securities =>

    Debt ools and Resources => Fannie Maes Universal Debt Facility.

    22 CallProcess

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    Pricingupplements

    In addition to the Universal Debt Facility Oering Circular, debt investors should

    also refer to pricing supplements for specic issues of Fannie Mae debt securities in

    which they invest. Fannie Mae discloses detailed information on individual debt

    securities through these pricing supplements. Certain securities terms such as pay-

    ment dates, maturity dates, payment currency, principal amounts and interest

    specications are included in the pricing supplements. Te supplements also provide

    identication numbers, listing applications, pricing dates, settlement dates and dealer

    underwriting commitments.

    Pricing supplements for outstanding noncallable and callable debt securities can be

    retrieved on the Fannie Mae web site by going to Debt Securities => Debt ools and

    Resources => Document Search. Agency market participants can locate specic pricing

    supplements by CUSIP number.

    CallProcess 23

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    annie Mae oers a wide variety of high quality callable debt securities with

    maturities ranging from one year to thirty years and call lockout periods

    ranging from three months to ten years or longer. Investors purchase these

    securities to receive enhanced yields relative to noncallable securities in

    exchange for taking the risk that the securities may be called by Fannie Mae prior to

    their maturity date. Investors may buy these securities specically as a way to take a view

    on interest rate volatility, i.e., if they expect future interest rate volatility to be low they

    might buy callables that are priced at higher implied interest rate volatility levels.

    Investors may buy Fannie Mae callable debt securities in order to benet from a specicview of how the yield curve shape may change in the future. For instance, investors who

    believe that the yield curve may atten may buy a callable security to enhance returns

    relative to barbell or bullet portfolios of duration similar to that of the callable.

    Fannie Mae callable securities are most often issued as callable notes through a

    reverse inquiry process. Most of the investor segments active in Fannie Mae senior

    noncallable debt securities are also active in callable notes. Commercial banks, fund

    managers, central banks and state and local authorities are particularly active partici-

    pants in this type of security.

    Fannie Mae is committed to providing its investors with a diverse array of callable

    debt structures through its issuance initiatives on an ongoing basis. Te company iscommitted to innovation in the market for callable debt and works diligently to

    incorporate the needs of its investors and make enhancements to its callable debt

    issuance activities.

    ConCsIon

    F

    24 Conclusion

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    GossY

    merica-style Call feature: Te call option may be exercised on any business day

    after an initial lockout period. Tis type of call feature is also referred to as a continu-

    ous call.

    os (gecy opti-jute sprea): A new model for pricing and

    analyzing callable debt securities with European calls. AOAS refers to the yield

    premium over an agency yield curve instead of the more traditionally employed

    reasury or interest rate swaps yield curves.

    bermua-style Call feature: Te call option may be exercised semiannually on

    the coupon payment dates after an initial lockout period. Tis type of call feature is

    sometimes referred to as a discrete call.

    Callale det: A debt security whose issuer has the right to redeem the security prior

    to its stated maturity date at a price established at the time of issuance, on or after a

    specied date. Fannie Mae callable debt securities are always redeemed at par.

    Call feature: Te type of call option embedded in a callable security (i.e., American,

    Bermudan, Canary or European).

    Call opti: An option granting the holder the right to buy the underlying asset on

    (or before) a specied date at a specied (strike) price.

    Call ik: Te risk to an investor that a given callable debt security will be redeemed

    prior to its nal maturity date, thus aecting expected cash ows and consequently

    the yield on the security.

    Caary-style Call feature: A call feature that combines a Bermudan-style call

    option and a European-style call option.

    Cvexity: A volatility measure for bonds used in conjunction with modied

    duration in order to measure how the bonds price will change as interest rates change.

    It is equal to the negative of the second derivative of the bonds price relative to its

    yield, divided by its price. For example, since a noncallable bonds duration usually

    increases as interest rates decrease, its convexity is positive.

    GossY

    25 Glossary

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    Creit ik: Te possibility that the issuer or another party may have its credit rating

    downgraded by a rating agency; may experience changes in the markets perception of

    its creditworthiness; or may default on its nancial obligations to the investor.

    durati: Te weighted average maturity of the present values of the securitys

    cash ows. It is used as a measure of the sensitivity of the value of a security to changes

    in interest rates. Te greater the duration of a security, the greater its percentage

    price volatility.

    urpea-style Call feature: Te call option may be exercised on a single date at

    the conclusion of the initial lockout period.

    Hitric Vlatility (ealie Vlatility): A statistical measure of a securitys past

    price movements. It is calculated by using the market price of the option and solving

    for volatility.

    Implie Vlatility: A measure of a securitys expected volatility as reected by the

    market price of the traded options on that security. Te theoretical price of an option is

    a function of the underlying price, strike price, historical volatility of the underlying,the risk-free rate, and time to expiration. Implied volatility appears in several option

    pricing models, including the Black-Scholes Option Pricing Model.

    Iteret ate ik: Te risk that the value of a bond will depreciate in response to

    an increase in interest rates. An inverse relationship exists between bond prices and

    yields for xed-income securities. In a rising interest rate environment, bond prices

    will decrease and in a declining interest rate environment, bond prices will increase.

    ckut Peri: A time interval, usually early in the life of a security, when a call,

    conversion feature, or some other provision is not operative. A callable security cannot

    be called during this period of time.

    Maturity date: Te date on which the life of a nancial instrument ends through

    cash or physical settlement or expiration with no value.

    Glossary 26

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    opti: Te right to buy or sell an asset at a specied price on, before, or after a

    specied date.

    opti-jute sprea (os): A reference tool for comparing alternative

    debt securities that contain embedded options. OAS refers to the yield premium over

    comparable U.S. reasury securities that a callable debt security would have if it were

    noncallablethat is, if the value of the embedded option in the callable debt security

    were removed from the value of the debt security.

    ep (epurchae greemet): An agreement between a seller of securities and

    a buyer, whereby the seller agrees to repurchase the securities at an agreed upon price

    and at a stated time.

    evere Iquiry: A method of initiating issuance of debt securities whereby an

    investor consults with a broker/dealer and then the broker/dealer approaches an issuer

    with a proposal for a specic security issuance that will meet the investors needs.

    sprea: ypically, in the context of pricing debt securities, the dierence in

    percentage or basis points between the yield of a non-U.S. reasury debt securitybeing priced and the yield of a comparable U.S. reasury security. Also refers generally

    to the dierence in yields or coupons between any two debt securities. Usually noted

    in basis points.

    Vlatility: Te relative rate at which the price of a security moves up and down.

    Volatility is found by calculating the annualized standard deviation of daily change

    in price.

    Yiel: Te annual rate of return on an investment, expressed as a percentage. Yield

    calculation for notes and bonds is based on the coupon rate, length of time to maturity,

    and market price, assuming the coupon paid over the life of the security is reinvested

    at the same rate.

    Yiel Curve: A curve that illustrates the relationship between yields and maturities

    for a set of similar bonds at a given point in time.

    27 Glossary

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    Yiel-t-Call: Te internal rate of return on a callable bond in the event that the

    bond was redeemed by the issuer on the next available call date.

    Yiel-t-Maturity: Te internal rate of return on a callable bond or a xed rate

    security if the bond was held until the maturity date.

    Yiel-t-Wrt: Te lowest of all yield-to-calls or the yield-to-maturity.

    We deal in one

    asset type

    residential

    mortgages andmanage two types

    o risk on that

    asset interest

    rate and credit

    risk.

    Glossary 28

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    30 Figures

    fg 2.

    loombergcreenFannieMae4N1uropean-styleallableNote

    valuatedelativetotheNoncallableenchmarkurve

    This exhibit is the SIFMA pricing model as it appears on Bloomberg using Fannie Maes recently issued1.200% 4 noncall 1-year European-style callable note due November 3, 2014.

    The noncallable Bench-

    mark Securities yield

    curve and associated

    constant maturity yield

    adjustment spreads are

    fannie Mae Benchmark

    Securities yield curve

    provided by Bloomber

    Aency Composite

    AgPX spreads.

    esultindollar price

    esultinOAS

    p-to-date relevant mid-market uropean swaption

    volatility imported rom Tullett Prebon

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    31 Figures

    fg 3.

    Durationandconvexityprofilesforthemostcommon

    uropean-stylecallabledebtstructures.

    0

    -0.3

    -0.6

    -0.9

    -1.2

    -1.5

    -1.8

    0 2 4 6 8 10 12 14

    Source: Fannie Mae

    As of December 31, 2010

    2NC1

    3NC1

    5NC1

    7NC1

    5NC3

    5NC2

    7NC2

    10NC2

    7NC4

    7NC3

    10NC4

    10NC3

    15NC5

    coNvexITy

    DTIN

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    DICLAIMER

    Fannie Mae securities are more fully described in applicable oering circular, prospec-

    tuses, or supplements thereto (such applicable oering circular, prospectuses and

    supplements, the Oering Documentation), which discuss certain investment risks

    and contain a more complete description of such securities. All statements made herein

    are qualied in their entirety by reference to the Oering Documentation. An oering

    only may be made through delivery of the Oering Documentation. Investors consid-

    ering purchasing a Fannie Mae security should consult their own nancial and legal

    advisors for information about such security, the risks and investment considerations

    arising from an investment in such security, the appropriate tools to analyze such

    investment, and the suitability of such investment in each investors particular circum-

    stances. Te Debt Securities, together with interest thereon, are not guaranteed by the

    United States and do not constitute a debt or obligation of the United States or of any

    agency or instrumentality thereof other than Fannie Mae.

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    Our Business Is Te American Dream

    At Fannie Mae, we are in the American

    Dream business. Our Mission is to tear

    down barriers, lower costs, and increase

    the opportunities for homeownership and

    aordable rental housing for all Americans.

    Because having a safe place to call home

    strengthens families, communities and

    our nation as a whole.

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    3900 Wisconsin Avenue NW