copyright ©2003 south-western/thomson learning chapter 12 capital structure concepts

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Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

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Page 1: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Copyright ©2003 South-Western/Thomson Learning

Chapter 12Capital Structure Concepts

Page 2: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Introduction

• This chapter examines some of the basic concepts used in determining a firm’s optimal capital structure. It deals only with the total permanent sources of a firm’s financing.

Page 3: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure vs. Financial Structure

• Capital Structure

Permanent S-T

debt

– L-T debt

– P/S

– C/S

• Financial Structure

Total current

liabilities

– L-T debt

– P/S

– C/S

Page 4: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure vs. Financial Structure

• Capital structure is defined as the amount of permanent short-term debt, long-term debt, preferred stock, and common equity used to finance a firm.

• Financial structure refers to the amount of total current liabilities, long-term debt, preferred stock, and common equity used to finance a firm.

Page 5: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure vs. Financial Structure

• Capital structure is part of the financial structure, representing the permanent sources of the firm’s financing.

Page 6: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure Terminology

• Optimal capital structure– Minimizes a firm’s weighted average

cost of capital– Maximizes the value of the firm

• Target capital structure– Capital structure at which the firm plans to

operate

• Debt capacity– Amount of debt contained in a firm’s optimal

capital structure

Page 7: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure Terminology

• The optimal capital structure and, accordingly, the debt capacity of a firm are determined by the following factors:– Business risk of the firm– Tax structure– Extent of potential financial distress (e.g.,

bankruptcy)– Agency costs– Role played by capital structure policy in

providing signals to the capital markets regarding the firm’s performance

Page 8: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure Assumptions

• It is assumed that a firm’s investment policy is held constant when we examine the effects of capital structure changes on firm value and particularly on the value of common stock, which means that the level and variability of EBIT is not expected to change as changes in capital structure are contemplated.

Page 9: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure Assumptions

• Capital structure changes affect only distribution of the operating income between the claims of debt holders, preferred stockholders, and common stockholders.

• It is also assumed that the investments undertaken by the firm do not materially change the debt capacity of the firm.

Page 10: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Business Risk

• Business risk refers to the variability or uncertainty of a firm’s operating income (EBIT).

Page 11: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Factors Influencing a Firm’s Business Risk

• Variability of sales

volume

• Variability of selling

price

• Variability of cost

• Amount of market

power

• Extent of product

diversification

• Firm’s growth rate

• Degree of operating

leverage (DOL)

• Both systematic and

unsystematic risk

Web site for more info: http://finance.yahoo.com/

Page 12: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Business Risk: Systematic or Unsystematic Risk?

• Business risk possesses elements of both systematic risk and unsystematic risk. Some of the variability in operating income that results from business cannot be diversified away by investors who hold a broad-based portfolio of securities. – For example, variability attributable to

business cycle behavior is clearly systematic. In contrast, the variability attributable to specific managerial decisions, such as product line diversity, is primarily unsystematic.

Page 13: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Risk

• Financial risk refers to the additional variability of earnings per share and the increased probability of insolvency that arises when a firm uses fixed-cost sources of funds, such as debt and preferred stock, in its capital structure.– Insolvency occurs when a firm is unable to

meet contractual financial obligations—such as interest and principal payments on debt, payments on accounts payable, and income taxes—as they come due.

Page 14: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Fixed Financial Costs

• Fixed financial costs represent contractual obligations a company must meet regardless of the EBIT.

• The use of increasing amounts of debt and preferred stock raises the firm’s fixed financial costs; this, in turn, increases the level of EBIT that the firm must earn in order to meet its financial obligations and remain in business.

Page 15: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Fixed Financial Costs

• The reason a firm accepts the risk of fixed-cost financing is to increase the possible returns to stockholders.

Page 16: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Leverage

• The use of fixed-cost financing sources is referred to as the use of financial leverage.

• Financial leverage causes a firm’s earnings per share (EPS) to change at a rate greater than the change in operating income (EBIT).

Page 17: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Leverage

• If a firm is 100 percent equity financed and EBIT increases (decreases) by 10 percent, EPS will also increase (decrease) by 10 percent. When financial leverage, such as long-term debt, is used, a 10 percent change in EBIT will result in a greater than 10 percent change in EPS.

Page 18: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Leverage

• Figure 12.1 illustrates the concept of financial leverage. – Line A represents the financial leverage

used by a firm financed entirely with common stock. A given percentage change in EBIT results in the same percentage change in EPS.

– Line B represents a firm that use debt (or other sources of fixed-cost funds) in its capital structure. As a result, the slope of the EPS-EBIT line is increased, thus increasing the responsiveness of EPS to changes in EBIT.

Page 19: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Leverage

• As can be seen in Figure 12.1, a given change in EBIT yields a larger change in EPS if the firm is using debt financing (ΔEPSB) than if the firm is financed entirely with common stock (ΔEPSA).

Page 20: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Leverage

• It is also clear from Figure 12.1 that the use of financial leverage magnifies the returns—both positive and negative—to the shareholder. When EBIT is at a relatively high level, such as EBIT2, Firm B’s use of financial leverage increases EPS above the level attained by Firm A, which is not using financing leverage.

Page 21: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Leverage

• On the other hand, when EBIT is relatively low—for example, at EBIT0—the use of financial leverage decreases EPS below the level that would be obtained otherwise; that is, EPS’0 < EPS0. At EBIT0, the use of financial leverage results in negative EPS for Firm B.

Page 22: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Risk: Systematic or Unsystematic Risk?

• Financial risk, like business risk, contributes to both the systematic and unsystematic risk of a firm’s securities. To the extent that the use of financial leverage magnifies variations in operating income that come about because of unsystematic risk factors, financial leverage contributes to the unsystematic risk of a firm’s securities.

Page 23: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Financial Risk: Systematic or Unsystematic Risk?

• Financial researchers have also studied the contribution that financial leverage makes to the systematic risk of a firm’s securities. It is well established that systematic risk is a function both of financial risk and operating risk. Hence, security analysts and investors find the measurement of a company’s financial risk to be an important element of good financial analysis.

Page 24: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Factors Indicating a Firm’s Financial Risk

• Factors indicating financial risk– Debt-to-asset ratio – Debt-to-equity ratio– Fixed charge coverage ratio – DFL– Probability distribution of profits– Times interest earned ratio – EBIT-EPS analysis

Page 25: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• Firms employ financial leverage to increase the returns to common stockholders at the expense of increased risk.

• The objective of capital structure management is to find the capital mix that leads to shareholder wealth maximization.

Page 26: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

TABLE 12.1 Effect of Financial Leverage on Stockholder Returns and Risk at KMI Technology, Inc. Leverage Factor (Debt/Total Assets)

0% 40% 80%

Total Assets $1,000,000 $1,000,000 $1,000,000 Debt (at 10% interest) $0 $400,000 $800,000 Equity 1,000,000 600,000 200,000 Total liabilities and equity $1,000,000 $1,000,000 $1,000,000 Expected operating income (EBIT) $200,000 $200,000 $200,000 Interest (at 10%) 0 40,000 80,000 Earnings before tax $200,000 $160,000 $120,000 Income tax at 40% 80,000 64,000 48,000 Earnings after tax $120,000 $96,000 $72,000 Return on equity (= Earnings after tax/Equity)

12.0% 16.0% 36.0%

Page 27: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• To illustrate the effects of financial leverage on stockholder returns and risk, consider the following example of KMI Technology, Inc. As can be seen in Table 12.1, KMI has total assets of $1 million. Suppose KMI expects an operating income (EBIT) of $200,000. If KMI uses debt in its capital structure, the cost of this debt will be 10 percent per annum.

Page 28: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• Table 12.1 shows the effect of an increase in the debt to total assets ratio (debt ratio) from 0 percent to 40 percent and to 80 percent on the return stockholders’ equity.– With an all-equity capital structure, the

return on equity is 12 percent. – At a debt ratio of 40 percent, the return on

equity increases to 16 percent. – At a debt ratio of 80 percent, the return on

equity is 36 percent.

Page 29: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• KMI is earning 20 percent (pretax) on its assets. The cost of debt is 10 percent pretax. Thus, when KMI uses debt in its capital structure, the difference between the return on its assets and the cost of debt accrues to the benefit of equity holders.

Page 30: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

TABLE 12.1 Effect of Financial Leverage on Stockholder Returns and Risk at KMI Technology, Inc.

Effect of a 25 Percent Reduction in EBIT to $150,000 Leverage Factor (Debt/Total Assets)

0% 40% 80%

Expected operating income (EBIT) $150,000 $150,000 $150,000 Interest (at 10%) 0 40,000 80,000 Earnings before tax $150,000 $110,000 $70,000 Income tax at 40% 60,000 44,000 28,000 Earnings after tax $90,000 $66,000 $42,000 Return on equity (= Earnings after tax/Equity)

9.0% 11.0% 21.0%

Page 31: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

TABLE 12.1 Effect of Financial Leverage on Stockholder Returns and Risk at KMI Technology, Inc.

Effect of a 60 Percent Reduction in EBIT to $80,000 Leverage Factor (Debt/Total Assets)

0% 40% 80%

Expected operating income (EBIT) $80,000 $80,000 $80,000 Interest (at 10%) 0 40,000 80,000 Earnings before tax $80,000 $40,000 $0 Income tax at 40% 32,000 16,000 0 Earnings after tax $48,000 $24,000 $0 Return on equity (= Earnings after tax/Equity)

4.8% 4.0% 0.0%

Page 32: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• However, this increased equity return is achieved only at the cost of higher risk. – For example, if EBIT declines by 25 percent

to $150,000, the return on equity for the all-equity capital structure also declines by 25 percent to 9.0 percent.

– In contrast, at a 40 percent debt ratio, the return on equity declines by 31.25 percent to 11 percent.

– At an 80 percent debt ratio, the return on equity declines by 41.67 percent to 21 percent.

Page 33: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• The effects of a 60 percent reduction in EBIT to $80,000 are even more dramatic. In this case, the pretax return on assets is less than the pretax cost of debt.

• To pay the prior claims of the debt holders, the equity returns are reduced to a level below those that prevail under the all-equity capital structure.

Page 34: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• In the case of a 40 percent debt ratio, the return on equity is only 4.0 percent, and in the case of an 80 percent debt ratio, the return on equity is 0 percent.

Page 35: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• Thus it can be seen that the use of financial leverage both increases the potential returns to common stockholders and the risk, or variability, of those returns.

Page 36: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Effect of Financial Leverage on Stockholder Returns and Risk

• Generally, the greater a firm’s business risk, the less the amount of financial leverage that will be used in the optimal capital structure, holding constant all other relevant factors.

Page 37: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure Theory

• Studies the relationship between

– Capital structure

• Debt/Total assets

– Cost of capital

• Value of the firm

Page 38: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• In 1958, two prominent financial researchers, Franco Modigliani and Merton Miller (MM), showed that, under certain assumptions, a firm’s overall cost of capital, and therefore its value, is independent of capital structure.

Page 39: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• In particular, assume that the following perfect capital market conditions exist:– There are no transaction costs for buying

and selling securities.– A sufficient number of buyers and sellers

exists in the market, so no single investor can have a significant influence on security prices.

– Relevant information is readily available to all investors and is costless to obtain.

– All investors can borrow or lend at the same rate.

Page 40: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

– All investors are rational and have homogeneous expectations of a firm’s earnings.

– Firms operating under similar conditions are assumed to face the same degree of business risk. This assumption is called the homogeneous risk class assumption.

– There are no income tax.

Page 41: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• In the no-tax MM case, the cost of debt and the overall cost of capital are constant regardless of a firm’s financial leverage position, measured as the firm’s debt-to-equity ratio, B/E.

Page 42: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• As a firm increases its relative debt level, the cost of equity capital, ke, increases, reflecting the higher return requirement of stockholders due to the increased risk imposed by the additional debt.

Page 43: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• The increased cost of equity capital exactly offsets the benefit of the lower cost of debt, kd, so that the overall cost of capital does not change with changes in capital structure. This is illustrated in Figure 12.2.

Page 44: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• Because the firm’s market value is calculated by discounting its expected future operating income by the weighted (marginal) cost of capital, ka, the market value of the firm is independent of capital structure.

Page 45: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• MM support their theory by arguing that a process of arbitrage will prevent otherwise equivalent firms from having different market values simply because of capital structure differences.

Page 46: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• Arbitrage is the process of simultaneously buying and selling the same or equivalent securities in different markets to take advantage of price differences and make a profit.

• Arbitrage transactions are risk-free.

Page 47: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• For example, suppose two firms in the same industry differed only in that one was levered (that is, it had some debt in its capital structure) and the other was unlevered (that is, it had no debt in its capital structure). If the MM theory did not hold, the unlevered firm could increase its market value by simple adding debt to its capital structure.

Page 48: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• However, in a perfect capital market without transactions costs, MM argue that investors would not reward the firm for increasing its debt. Stockholders could change their own financial debt-equity structure without cost to receive an equal return.

Page 49: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• Therefore, stockholders would not increase their opinion of the market value of an unlevered firm just because it took on some debt.

Page 50: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• The MM argument is based on the arbitrage process. If one of two unlevered firms with identical business risk took on some debt and the MM theory did not hold, its value should increase and, therefore, so would the value of its stock. MM suggest that under these circumstances, investors will sell the overpriced stock of the levered firm.

Page 51: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• They can use an arbitrage process of borrowing, then buying the unlevered firm’s stock, and investing the excess funds elsewhere. Through these costless transactions, investors can increase their return without increasing their risk. Hence, they have substituted their own personal financial leverage for corporate leverage.

Page 52: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• MM argue that this arbitrage process will continue until the selling of the levered firm’s stock drives down its prices to the point where it is equal to the unlevered firm’s stock price, which has been driven up due to increased buying.

Page 53: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• The arbitrage process occurs so rapidly that the market values of the levered and unlevered firms are equal. Therefore, MM conclude that the market value of a firm is independent of its capital structure in perfect capital markets with no income taxes.

Page 54: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• The MM no-tax theory is illustrated in the example shown in Table 12.2. The table contains financial data on two firms, U and L, that have equal levels of net operating income (EBIT = $1,000) and operating risk and differ only in their capital structure. Firm U is unlevered, and firm L is levered, with a perpetual debt of $2,000 having a coupon rate (i) of 5 percent in its capital structure.

Page 55: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• For simplicity, we assume that the income of both firms available for stockholders is paid out as dividends. As a result, the expected growth rate of both firms is zero, because no income is available for the firms to reinvest.

Page 56: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

Page 57: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• The present value of both firms is calculated using the following perpetuity valuation equation:Market value of firm = Market value of equity (E) + Market value of debt (B)

= (D ÷ ke) + (I ÷ Kd)where E and B are the respective market values of equity and debt in the firm’s capital structure; D is the annual of dividends paid to the firm’s stockholders; I is the interest paid on the firm’s debt; ke is the return required on common equity; and kd is the return on required on debt.

Page 58: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• The required rate of return on the common equity for the unlevered firm (U) is 10 percent. Because of the increased financial risk associated with the $2,000 in debt financing, the required rate of return on the common equity of the levered firm (L) is 11.25 percent. The required return on debt, kd, is assumed to equal the coupon rate on the debt, i.

Page 59: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• For firm U, the present value of the expected future cash flows is $10,000 calculated as follows:

Market value of firm U = $1,000/0.10 = $10,000

• For firm L, the present value is also $10,000, calculated as follows:

Market value of firm L= ($900/0.1125) + ($100/0.05) = $10,000

Page 60: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure without a Corporate Income Tax

• Thus, the market value of firms U and L are equal. This example shows that the market value of the firm is independent of capital structure, assuming that the MM theory holds and no corporate income tax exists.

Page 61: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• Table 12.3 shows financial data for an unlevered firm, U, and a levered firm, L, assuming a corporate income tax rate, T, of 40 percent.

Page 62: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

Page 63: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• The total income available to the security holders of firm U is $600, and assuming a cost of equity capital equal to 10 percent, the value of firm U is calculated as follows:

Market value of firm U

= $600/0.10 = $6,000

Page 64: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• Because interest paid to debt holders is a tax-deductible expense, the total income available to the debt and equity security holders of firm L, shown in Table 12.3, is $640. This amount is greater than the $600 available to the firm U equity security holders by $40. The $40 amount is the tax shield caused by the tax deductibility of the interest payments.

Page 65: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• The annual tax shield amount is calculated using the following equation:

Tax shield amount

= i*B*T = (0.05)*($2,000)*(0.40) = $40

Page 66: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• The total market value of firm L is obtained as follows:

Market value of firm L

= (D ÷ ke) + (I ÷ Kd)

= ($540/0.1125) + ($100/0.05) = $6,800

Page 67: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• In this example, the value of firm L is greater than firm U’s value by an amount equal to $800. This difference in value is caused by the tax shield. In fact, the difference in value between the levered and unlevered firm is equal to the present value of the tax shield from the perpetual debt:

Present value of tax shield

= (i*B*T) ÷ i = B*T

Page 68: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• In this equation, the annual tax shield amount, i*B*T, is discounted at a rate, i(i = kd). In this case of firm L, the present value of the tax shield is $800, calculated as follows:

Present value of tax shield

= B*T

= $2,000*0.40 = $800

Page 69: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• We can now state that the market value of the levered firm is equal to the market value of the unlevered firm plus the present value of the tax shield:

Market value of levered firm

= Market value of unlevered firm +

Present value of tax shield

Page 70: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• From the equation in the previous slide, we can conclude that the value of the firm increases linearly as the amount of debt in the capital structure increases, as shown in Panel (a) of Figure 12.3. This result implies that a firm should increase its level of debt to the point at which the capital structure consists entirely of debt.

Page 71: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• In other words, the market value of the firm is maximized and its optimal capital structure is achieved when capital structure is all debt.

Page 72: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• As shown in Panel (b) of Figure 12.3, the weighted cost of capital ka declines with increases in financial leverage.

• In practice, we do not normally observe companies with extremely high levels of debt in their capital structures. Even in the face of leveraged buyouts, however, we still do not observe many companies that approach a 100 percent debt-financed capital structure.

Page 73: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

VL = VU + Value of Tax Shield

MktValue

of Firm

Debt $

VU

VL

PV of

Tax Shield

Page 74: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Model 2

DebtTotal Assets

ki = kd (1 – T)

ka

ke

The cost of capital decreases with the amount of debt.The firm maximizes its value by choosing

a capital structure that is all debt.

Cost ofCapital

Page 75: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Capital Structure with a Corporate Income Tax

• Hence, other factors must be influencing the determination of an optimal capital structure. Two of the most important factors are financial distress costs and agency costs.

Page 76: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

What Happens With Taxes, Bankruptcy, and Agency Costs?

• Bankruptcy and agency costs increase with the amount of leverage, eventually offsetting the marginal benefits from the value of the tax shield.

Page 77: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

What Happens With Taxes, Bankruptcy, and Agency Costs?

• Market value of leveraged firm

= Market value of unleveraged firm

+ PV of tax shield

– PV of bankruptcy costs

– PV of agency costs

• See Figure 12.4.

Page 78: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Bankruptcy Costs

• Lenders may demand higher interest rates.

• Lenders may decline to lend at all.

• Customers may shift their business to other firms.

• Distress incurs extra accounting & legal costs.

• If forced to liquidate, assets may have to be sold for less than market value.

Page 79: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Agency CostsStockholder-Bondholder Relationship

• Investing in projects with high risk and high returns can shift wealth from bondholders to stockholders.

• Stockholders may forgo some profitable investments in the presence of debt.

Page 80: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Agency CostsStockholder-Bondholder Relationship

• Stockholders might issue high quantities of new debt and diminish the protection afforded to earlier bondholders.

• Bondholders will shift monitoring and bonding costs back to the stockholders by charging higher interest rates.

Page 81: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

The Cost of Capital and the Optimal Capital Structure

• In this section, we examine the relationship between the cost of capital and the firm’s capital structure when corporate taxes, financial distress costs, and agency costs are considered.

• In the following analysis, we assume that capital structure contains only permanent debt and common equity; that is, we assume, for simplicity, that no preferred stock financing is used.

Page 82: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

The Cost of Capital and the Optimal Capital Structure

• The first step in the analysis considers the relationship between the cost of debt and capital structure.

• All other things being equal, investors in debt consider the debt less risky if the firm has a low, rather than high, proportion of debt in its capital structure.

Page 83: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

The Cost of Capital and the Optimal Capital Structure

• As the proportion of debt in the capital structure increases, investors require a higher return on the more risky debt. And because the firm’s cost of capital is the investor’s required return, the cost of debt increases as the proportion of debt increases.

Page 84: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

The Cost of Capital and the Optimal Capital Structure

• The precise relationship between the cost of debt and the debt ratio is difficult to determine, because it is impossible to observe the cost of debt at two different capital structures (at the same time) for a single firm. Nevertheless, evidence suggests that the cost of debt increases rather slowly for moderate amounts of debt.

Page 85: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

The Cost of Capital and the Optimal Capital Structure

• There is a point at which the capital markets begin to consider any new debt “excessive” and therefore much more risky. The cost of debt curve, ki, in Figure 12.5 illustrates such a relationship.

• The actual region where the cost of debt begins to increase more rapidly varies by firm and industry, depending on the firm’s level of business risk.

Page 86: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

The Cost of Capital and the Optimal Capital Structure

• The next step focuses on the relationship between the cost of equity capital and capital structure.

• When a firm has low financial leverage, that is, a low debt-to-equity ratio, any equity employed is less risky than equity used when the firm is financed with a relatively high proportion of debt.

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The Cost of Capital and the Optimal Capital Structure

• Earlier in this chapter was shown that the greater the fraction of debt used, the greater is the variability in earnings per common share.

• In addition, the greater the fraction of debt used, the greater is the risk of financial distress.

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The Cost of Capital and the Optimal Capital Structure

• Because the returns expected by stockholders in the form of present and future dividends depend partly on current earnings, it can be concluded that variability in earnings per common share can result in variability of the returns to investors, that is, greater risk.

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The Cost of Capital and the Optimal Capital Structure

• Therefore, it can be stated that investors’ required returns and the cost of equity capital increase as the relative amount of debt used to finance the firm increases.

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The Cost of Capital and the Optimal Capital Structure

• Once again, the exact nature of the relationship between the cost of equity and financial leverage is difficult to determine in practice.

• However, there is agreement that the cost of equity capital increases at a relatively slow rate as the debt proportion increases up to moderate amounts.

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The Cost of Capital and the Optimal Capital Structure

• Then, in the range where additional debt begins to be viewed as excessive and more risky, the cost of equity increases more rapidly. This is shown in Figure 12.5.

• As is true in the debt illustration, the region where the cost of equity capital, ke, begins to increase more rapidly varies by firm and industry.

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The Cost of Capital and the Optimal Capital Structure

• The relationship between the weighted cost of capital, ka, and financial leverage can now be considered.

• Because the relationships between financial leverage and ke and ki have been developed, the relationship between ka and financial leverage follows accordingly.

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The Cost of Capital and the Optimal Capital Structure

• The following equation can be used to calculated ka for any level of financial leverage, provided that the values of ke and ki at the level of financial leverage are known (B is the market value of debt, and E is the market value of equity in the firm’s capital structure.):

a e i( ) ( )E B

k k kB E B E

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The Cost of Capital and the Optimal Capital Structure

• The ka curve, shown in Figure 12.5, begins at ka = ke because, by definition, the weighted cost of capital for an all-equity firm equals the cost of equity.

• As even small increments of debt are used, ka “bottoms out” and then begins to increase.

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The Cost of Capital and the Optimal Capital Structure

• The resulting saucer-shaped curve contains a point at which the firm’s overall cost of capital is minimized and its value maximized. This point is the firm’s optimal capital structure.

• If the firm is thought of as a cash-flow generator, then the lower the discount rate (the weighted cost of capital), the higher the firm’s value.

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The Cost of Capital and the Optimal Capital Structure

• Figure 12.6 ties together the relationship between the optimal capital structure (with taxes, financial distress costs, and agency costs) and the market value of a firm and its weighted cost of capital.

• Note that at the optimal capital structure, B*/E*, the market value of the firm is maximized and its weighted cost of capital is minimized.

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Optimal Debt Ratio

DebtRatio

VU

PVof Tax

Shield

M

kt value of leveraged firm

PVB&A

Costs

VL

Optimal Debt Ratio

Market Value of the Firm

Page 98: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Model 3Least Cost Capital Structure is Optimal

Cost of Capital

BB + E

ki

ke

ka

Optimal CapitalStructure

0

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Other Impacts on the Optimal Capital Structure

• Personal tax effects– Could reverse some tax benefits

• Industry effects– Profitability and bankruptcy patterns

• Signaling effects– Asymmetric information

• Managerial preferences– Pecking order theory

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Personal Tax Effects

• The MM tax case led to the conclusion that, in the absence of financial distress costs and agency costs, the firm should attempt to minimize its taxes by employing the maximum amount of debt. The MM tax case did not consider the effect of personal income taxes, however.

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Personal Tax Effects

• Miller has extended the tax case analysis to include both corporate and personal income taxes.

• Miller argued that although a firm can save taxes by increasing its debt ratio, individual investors would pay greater taxes on their returns from the firm if these returns were predominantly interest, rather than dividends and capital appreciation on common stock.

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Personal Tax Effects

• Historically, the tax code has favored capital gains income from stock over interest income because capital gains generally have been taxed at a lower rate than ordinary income (including interest income) and because taxes on capital gains are deferred until the capital gain is realized.

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Personal Tax Effects

• Miller concluded that when both personal and corporate income taxes are considered, there is no optimal debt ratio for an individual firm, although there is an optimal amount of total debt in the marketplace, reflecting the difference in corporate and personal tax rates.

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Industry Effects

• A number of studies have found significant capital structure difference among industries. The more profitable firms are, the less debt they tend to use.

• Other studies have found that leverage ratios are negatively related to the frequency of bankruptcy in the industry.

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Industry Effects

• Some evidence indicates that firms generating stable cash flows over the business cycle tend to have higher debt ratios.

• In general, the studies of industry effects in capital structure tend to conclude that there is an optimal capital structure for individual firms. The market rewards firms that achieve this capital structure.

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Signal Effects

• The officers and managers of a company, as insiders, have access to information about the expected future earnings and cash flows of the firm that is not available to outside investors. This situation is referred to as asymmetric information.

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Signal Effects

• Given that managers know more about the firm than do outside investors, changes in a company’s investment, financing, or dividend decisions can represent a signal to investor concerning management’s assessment of the expected future returns, and hence market value, of the company.

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Signal Effects

• Thus, when a firm issues new securities, this event can be viewed as providing a signal to the financial marketplace regarding the future prospects of the firm or the future actions planned by the firm’s managers.

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Signal Effects

• Ross argues that signals provided by capital structure changes are credible because of the potential bankruptcy cost penalty incurred if the implied future cash flows do not occur.

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Signal Effects

• In general, studies of capital structure changes have found that new common equity offerings tend to yield negative stock price responses and new debt offering tend to yield no significant stock price responses.

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Signal Effects

• Repurchases of common stock have led to large positive announcement returns on the company’s common stock.

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Signal Effects

• Actions that increase leverage have generally been associated with positive stock returns, and actions that decrease leverage are associated with negative stock returns.

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Signal Effects

• The results of many studies of capital structure changes are consistent both with direct effects of the change, such as the benefits of greater tax shields, and with indirect information effects.

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Signal Effects

• Therefore, when a firm makes capital structure changes it must be mindful of the potential signal that the proposed transaction will transmit to the marketplace regarding the firm’s current and future earnings prospects and the intentions of its managers.

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Managerial Preference Effects: The Pecking Order Theory

• According to the pecking order theory, as developed by Myers, a firm may not have a particular target or optimal capital structure. Instead, a company’s capital structure changes when an imbalance between internal cash flows, net of cash dividend payments, and acceptable (i.e., NPV > 0) investment opportunities occurs.

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Managerial Preference Effects: The Pecking Order Theory

• Firms whose investment opportunities exceed internally generated funds tend to issue more debt securities and hence have higher debt ratios.

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Managerial Preference Effects: The Pecking Order Theory

• Conversely, highly profitable firms with limited needs for investment funds will tend to have lower debt ratios. In this situation, the firm builds up financial slack in the form of highly liquid assets (i.e., cash and marketable securities) and unused debt capacity. Financial slack allows a firm to take advantage of any attractive investment opportunities that may occur in the future.

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Managerial Preference Effects: The Pecking Order Theory

• The pecking order theory indicates that firms prefer internal financing (retained earnings) to external financing (new security issues).

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Managerial Preference Effects: The Pecking Order Theory

• This preference for internal financing is based on two considerations. – First, because of flotation costs of new

security issues, internal financing is less costly than external financing.

– Second, internal financing avoids the discipline and monitoring that occurs when new securities are sold publicly.

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Managerial Preference Effects: The Pecking Order Theory

• Also, according to the pecking order theory, dividends are “sticky,” that is, many firms are reluctant to make major changes in dividend payments and only gradually adjust dividend payout ratios to reflect their investment opportunities and thereby avoid the issuance of new securities.

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Managerial Preference Effects: The Pecking Order Theory

• If external financing is required, the “safest” securities, namely debt, are issued first. As discussed in Chapter 7, the flotation costs of debt securities are generally lower than the costs of equity securities.

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Managerial Preference Effects: The Pecking Order Theory

• Also, as noted in the discussion of asymmetric information above, the stock market tends to react negatively to announcements of new common stock offerings, whereas debt security announcements tend to have little impact on stock prices.

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Managerial Preference Effects: The Pecking Order Theory

• As additional external financing is needed, the firm will work down the pecking order—from safe to more risky debt, then possibly to convertible debt, and finally to common equity as a last resort.

Page 124: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Managerial Implications of Capital Structure Theory

• First, it is clear that the capital structure decision is one of the centrally important decisions facing financial managers. There is little doubt that changes in capital structure result in changes in the market value of the firm.

Page 125: Copyright ©2003 South-Western/Thomson Learning Chapter 12 Capital Structure Concepts

Managerial Implications of Capital Structure Theory

• Second, the benefits of the tax shield from debt lead to increased firm value, at least up to the point that increased financial distress and agency costs begin to offset the debt advantage.

• Third, the optimal capital structure is heavily influenced by the business risk facing the firm.

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Managerial Implications of Capital Structure Theory

• Fourth, when managers make explicit changes in a firm’s capital structure, these actions transmit important information to investors about expected future returns and the market value of a company.