Pgdm cap struc_notes[1]

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Pgdm cap struc_notes[1]

  1. 1. Chapter 1: An Overview of Corporate Financing1. Corporate Financing Pattern in IndiaBroadly, the sources of finance for a company can be of two types (1) Internal Sources (2) External SourcesInternal Sources of finance can be in the form of reserve and surplus and depreciationExternal sources can be: (i) Equity Capital (ii) Borrowings mostly from banks (iii) Trade credit and other current liabilitiesIn Indian conditions, it can be seen that for most of the years between 1984-2007, companieshave depended more on external sources of finance to meet their investment requirement.Also most of the money raised through external sources have been by borrowing and not byissuing equity. And most of the borrowings are from banks and not by issuing debentures.Two salient observations that enough from table 1 are: (1) Primary (Capital) market is still to play a efficient role as an intermediary between capital surplus units in the economy and the capital deficient units. (2) Unlike US, UK, Germany & Japan, where corporate dependence on internal sources is high (about two third of total finance requirement is met by internal sources) in India, corporations, on an average, fund one third of their capital requirement from internal sources.2. Trends in Debt Corporate FinancingThe amount of debt in capital structure varied with (i) age of the firm (ii) domicile of the firm(iii) type of firm and (iv) size of the firm. In a study by Love and Peria (2005) the followingsalient features emerged: (i) Young firms tended to have lower debts ratios than older firms. Since the study did not find any clear difference in the repayment capacity of such firms, they reasoned this phenomenon to the comparative lack of transparency among young firms.
  2. 2. (ii) Foreign firms were seen to have lesser debt than both private & government owned Indian firms. This may be because of the greater access to foreign equity that such firms have. (iii) Manufacturing firms tended to have more debt as compared to service. Firms among other things, this may be because of the greater proportion of tangible assets. (iv) Smaller firms tended to have lower debt ratios as compared to large firms. Also, relative to large firms, small firms seem to rely less on financing from formal financial institutions and markets and mostly resort to borrowing from other (mostly intra group) corporations of profitable growth opportunities to small & medium firms.3. Trends in Equity FinancingDespite reforms in the capital market, equity market is still not a dominant source of externalfinance to meet the investment requirements of a company. On an average between 1984 to1991 equity accounted for less than 7 per cent of external finance which increased, in the postreform period (between 1991 to 2007), to 15 percent.Most of the funds, raised from primary market, between 1994 to 2007 have been by bankingand financial institutions. Thus the increased activity in the post reforms primary market havemainly benefited a industry (Banking/FI) that was forced primarily by regulatorycompulsions (and not growth concerns) to raise equity.4. Costs Of Different Sources Of Finance4.1 Cost of DebtTwo main sources of capital are equity and debt. A debt may be in the form ofsecured/unsecured loans, debentures, bonds, etc. The debt carries a fixed rate of interest andthe payment of interest is mandatory irrespective of the profit earned or loss incurred by thefirm. By taking debt, the firm increases the total capital employed in the business and if it isable to generate a high rate of return on capital employed, the return to shareholders increasesas debt carries a fixed rate of interest and the additional return earned belongs to
  3. 3. shareholders. However, debt is like a double-edged sword because if the firm is not able togenerate adequate returns on capital employed, the return to shareholders would decline, asinterest has to be paid. Another point about using debt in the capital structure is that theinterest payable on debt is tax deductible.The cost of debt is defined as the discount rate which equates the net proceeds from the debtto the expected cash outflows in the form of interest and principal repayment, i.e., n I F P=∑ + (1) t =1 (1 + kd ) (1 + kd ) n tWhere, k d = Pre-tax cost of debt I = Annual interest payment F = Redemption value of debt P = Net amount realized n = Maturity periodThe k d so arrived at is then multiplied by the factor (1-t), for the purpose of calculatingweighted average cost of capital, because interest on debt is a tax-deductible expense.However, it should be noted that this tax- shield is available only when the firm is profitable.But such business losses can be carried forward to be written off against business income.Solving equation (1) for Kd leads one to solve a complicated polynomial. An approximationformula as given below can also be used. F −P I+ kd = n F+P 24.2 Cost of Preference Share CapitalPreferred stock shares some characteristics of debt and some of equity. Like debt, preferredstock requires a fixed interest payment; if the firm does not have the cash to pay the dividend,the dividend is cumulated and paid in a period when there are sufficient earnings. Like debt,preferred stock does not confer a share of control in the firm, and voting privileges arerestricted to issues that might affect claims on the firm’s cash flows or assets. Like equity,payments to preferred stock holders are not tax deductible and are paid from after-tax cash
  4. 4. flows. Also like equity, preferred stock does not have a maturity date when the face value isdue. In terms of priority, in the case of bankruptcy, preferred stockholders have to wait untildebt holders’ claims have been met before receiving any portion of the assets of the firm.Thus, the cost of preference capital is more than the cost of debt but less than the cost ofequity capital. In India only redeemable preference shares up to a maximum time period of20 years can be issued.The cost of redeemable preference share ( k p ) is defined as the discount rate which equatesthe proceeds from preference capital issue to the dividend payment and principal payments.Symbolically, n D F P=∑ + t =1 (1 + k p ) (1 + k p ) n tWhere, k p = cost of preference capital D = Preference dividend per share payable annually F = Redemption price P = Net amount realized per share N = Maturity periodAs in the case of debt, an approximation formula as given below can also be used. F−P D+ kp = n F+P 2Why Do Companies Issue Preferred Stock? In many ways, it is difficult to understand whya firm would issue preferred stock if it can also issue straight debt. Preferred stock generallycosts more than debt (since it is riskier) and provides no tax benefits.However for firms that are concerned about being viewed as being too levered, preferenceshare offer a way out since, most analysts and ratings agencies treat preferred stock as equityfor the purposes of calculating leverage. Also, preferred stock may offer a way of raisingmoney for companies that have no other options – debt or equity – available to them.
  5. 5. 4.3 Cost of Equity Share CapitalThe cost of equity capital is the most difficult cost to measure. This is so because of thenature of equity share capital. As we know that the dividend payment on equity capital is notcompulsory and the capital is practically irredeemable. Hence, in the case of equity sharecapital, the cost has to be viewed in the opportunity cost framework. The investor hassupplied funds to the firm with the expectation of some suitable return. The investment wasmade, presumably on a logical basis, because the type of risk embodied in the firmreasonably matched with the investor’s risk preference and because the expectations aboutearnings, dividends and market appreciation were satisfactory. But at the same time, theinvestor has foregone other investment opportunities when she selected this investment. Sowe need to measure the opportunity cost of equity capital, i.e., the benefit foregone by theinvestor when he chose to invest in a particular firm.(a) Dividend Discount Model ApproachDividend discount model is designed to compute the intrinsic value of an equity share.According to the dividend discount approach, the intrinsic value of an equity stock is equal tothe sum of the present values of the expected dividends associated with it, i.e. n Dt Pe = ∑ t =1 (1 + k e ) tWhere, Pe = Price per equity share Dt = Expected dividend per share at the end of year one ke = Rate of return required by the equity shareholdersIf we know the current market price ( Pe ) and can forecast the future stream of dividends, wecan determine the rate of return required by the equity shareholders ( ke ) using the aboveequation which is nothing but the cost of equity capital.
  6. 6. In practice, the model suggested by the above equation cannot be used in the given formbecause it is not possible to forecast the dividend stream accurately over the life of the firm.Therefore, the growth in dividends can be categorized as nil or constant growth orsupernormal growth and the above equation can be modified accordingly.(b) Security Market Line (SML) ApproachSecurity market line is the line that we get when we plot the relationship between the requiredrate of return ( Ri ) and non-diversifiable risk (beta). This line describes the relationshipbetween systematic risk and expected return in financial markets. As per capital assets pricingmodel (CAPM) assumption, any individual security’s expected return and beta statisticsshould lie on the SML. The SML intersects the vertical axis at the risk-free rate of return R fand Rm - R f is the slope of the SML.According to this approach, the rate of return required on a security is given by the followingequation: k i = R f + β i ( Rm − R f )Where, ki = Rate of return required on security i R f = Risk-free rate of return β i = Beta of security i Rm = Rate of return on market portfolio(c) Bond Yield Plus Risk Premium ApproachThe logic behind this approach is that the return required by the investors is directly based onrisk profile of the security. The risk born by the equity investors is higher than that borne bythe bondholders or preference shareholders, therefore, the rate of return required by themshould also be higher. Hence, the required rate of return on equity capital can be calculatedas: Required rate of return = Yield on the long-term bonds of the company + Riskpremium
  7. 7. This risk premium is arrived at after considering the various operating and financial riskfaced by the firm.4.4 Weighted Average Cost of Capital (WACC)Weighted average cost of capital (WACC) is defined as the weighted average of the cost ofvarious sources of finance, weights being the market values of each source of financeoutstanding.Assuming that there are only two sources of financed used by the firm, the WACC can becalculated as follows:WACC = Cost of equity x Proportion of equity in the financing mix + (Post – Tax) Cost ofdebt x Proportion of debt in the financing mix = ke we + kd (1 − t ) wd ⎛ E ⎞ ⎛ D ⎞ = ke ⎜ ⎟ + kd (1 − t ) ⎜ ⎟ ⎝ D+E ⎠ ⎝ D+E ⎠4.5 Hybrid SecuritiesEquity represents a residual claim on the firm’s cash flows and assets and is generallyassociated with management control. Debt, on the other hand, represents a fixed claim on thefirm’s cash flows and assets and is usually not associated with management control. Thereare a number of financing choices that do not fall neatly into either of these two categories;rather, they share some characteristics with equity and some with debt. These financingchoices, which we discuss next, are called hybrid securities.Convertible DebtA convertible bond is a bond that can be converted into a predetermined number of shares ofthe common stock, at the discretion of the bondholder. Although it generally does not pay toconvert at the time of the bond issue, conversion becomes a more attractive option as stockprices increase. Firms generally add conversion option to bonds to lower the interest rate theypay on the bonds.
  8. 8. The Conversion Option: In a typical convertible bond, the bondholder is given the option toconvert the bond into a specified number of shares of stock. The conversion ratio is thenumber of shares of stock for which each bond may be exchanged; the market conversionvalue is the current value of the shares for which the bonds can be exchanged. Theconversion premium is the excess of the bond value over its conversion value.Thus, a convertible bond with a face value of Rs. 1,000, which is convertible into 50 sharesof stock, has a conversion ratio of 1:50. The conversion ratio can also be used to compute aconversion price – the face value of the convertible bond divided by the conversion ratio –yielding a conversion price in this example of Rs. 20. Now, if the current stock price is Rs.25, the market conversion value is 50*Rs. 25, or Rs. 1,250. If the convertible bond is tradingat Rs. 1,300, the conversion premium is Rs. 50. In other words, since the bond has thesweetener of convertibility, it is being traded at a premium of Rs. 50.Determinants of Value: The conversion option is a call option on the underlying stock; itsvalue is therefore determined by the variables that affect call option values: the underlyingstock price, the conversion ratio (which helps determine the strike price), the life of theconvertible bond, the variance in the stock price, and the level of interest rates. Like calloption, the value of the conversion option will increase with the price of the underlying stock,the variance of the stock, and life of the conversion option; it will decrease with the exerciseprice (determined by the conversion option).When the riskiness of a firm increases, the value of the convertible bond is affected in twoways. The higher risk will decrease the value of the straight bond portion, while increasingthe value of the conversion option. These offsetting effects mean that convertible bonds willbe less exposed to changes in the firm’s risk than are other types of securities.The value of a convertible bond is also affected by a feature shared by most convertiblebonds, which allows for adjustment of the conversion ratio (and price) if the firm issued newstock below the conversion price or has a stock split or dividend. In some cases, theconversion price has to be lowered to the price at which new stock is issued. This is designedto protect the convertible bondholder from misappropriation by the firm.
  9. 9. A Simple Approach to separating Debt and Equity: A convertible bond is a combinationof two securities. One security is a straight bond, with a stated face value, coupons, andmaturity; this option is debt. The other security is an option to buy equity in the firm; thisconversion option is equity. The value of each component is determined by different factors.The value of the straight bond portion, like all debt, increases as interest rates and default riskdeclines. The value of the conversion option, like all equity options, increases as the stockprice increases and becomes more volatile.The value of a convertible debt can be separated into straight debt and equity componentsusing a simple approach. Because the price of a convertible bond is the sum of the straightdebt and the call option components, the value of the straight bond component in conjunctionwith the market price should be sufficient to estimate the call option component, which isalso the equity components.Value of the conversion option = price of convertible bond – value of straight bondcomponent.The value of the straight bond component can be estimated using the promised couponpayments on the convertible bond, the maturity of the bond, and the market interest rate thecompany would have to pay on a straight debt issue. This last input can be estimated directlyif the company also has straight bonds outstanding, or it can be used on the bond rating, ifany, assigned to be company.Why do we need to separate convertible debt into debt and equity components? By addingthe debt component to the other debt that the firm has, and the equity component to theremaining equity, we can measure the firm’s debt ratio more precisely and estimate its cost ofcapital.Illustration 1.As of today, i.e. 1st Jan 2002, ABC Ltd. has Rs. 2 crore worth of secured debt issued at 9 percent p.a., convertible debentures with face value of Rs. 1 crore issued at 8 per cent p.a. in Jan2000 and would mature in Jan 2005 (between this it can be converted at any time). Each bondhas a face value of Rs. 1000 and is convertible into 20 shares when exercised. The instrumentis rated A+ and straight bonds with similar maturity yield 10 per cent p.a. Find the weighted
  10. 10. average cost of capital of ABC if its cost of equity is 18 per cent and it has 3 crore worth ofequity. The company falls in the 30 per cent tax bracket.To find WACoC one will have to first find the bond and equity components.To find the straight bond component: t =3 Rs.80 Rs.1, 000PV of Bond = ∑ (1.1) t =1 t + (1.1)3 = Rs.950The total straight bond value of the Rs. 1 crore in convertible bonds can then be estimated asfollows: ⎛ 100, 00, 000 ⎞Total Straight Bond Value of Convertible Bonds = ⎜ 1, 000 ⎟ *Rs. 950 =Rs.95 lakhs ⎝ ⎠Since the convertible bond is a combination of the straight bond and the conversion option,and the price of the convertible bond is known, the conversion option can be valued: Conversion Option = Price of Convertible Bond – Value of Straight Bond = Rs.1,250 – Rs. 950 = Rs. 300The total value of the conversion option is then = ⎛ 100, 00, 000 ⎞ *Rs. 300 = = Rs. 30 lakhs ⎜ 1, 000 ⎟ ⎝ ⎠Once the convertible bond has been broken up into straight bond and conversion optioncomponents, their values can be used to calculate the debt and equity components of theconvertible bonds outstanding. ⎛ 2.95 ⎞ ⎛ 3.30 ⎞Thus, the WACoC is given by ⎜ ⎟ *9% *(1 − .30) + ⎜ ⎟ *18% = 12.48% ⎝ 6.25 ⎠ ⎝ 6.25 ⎠Why Do Companies Issue Convertible Debt? Some firms issue convertible bonds becausethey believe it is cheaper for them to borrow using convertible debt than to issue straightdebt. If by cheaper, the implication is that the interest rate on the convertible debt will belower than the interest rate on straight debt, this is true. There is, however, a good reason whythe coupon rate on convertible debt is lower. The firm is packaging a valuable equity option
  11. 11. with the straight debt to create the convertible debt, and it is the value of the option that ispushing down the stated interest rate on the debt. If the conversion option is fairly priced,there is no cost advantage to issuing convertible debt instead of straight debt.There are some good reasons for firms to issue convertible bonds. First, convertible debtprovides an attractive alternative to straight debt for high-growth companies that do notcurrently have high operating cash flows. The high growth and risk combine to increase thevalue of the conversion option, which, in turn, pushes down the interest rate and reduces thecoupon payment and cash outflow for the firm. This is confirmed by studies. One study byJen, Choi, and Lee (1997) found that market react more positively to convertible issues byhighly levered and high-growth firms. Second, convertible debt is one way of reducing theconflict between equity and debt holders in a firm. Equity investors, by taking on riskierprojects and new debt, can make existing bondholders worse off. If they do so withconvertible debt, debt holders can always exercise their conversion options and becomeequity investors, thus removing themselves as a target for such actions.Numericals1. Neelkamal Ltd., a manufacturer of consumer plastic products, is evaluating its capital structure. The balance sheet of the company is as follows (in millions): Assets Liabilites Fixed Assets Rs 4,000 Debt Rs. 2,500 Current Assets Rs.1,000 Equity Rs. 2,500In addition, you have the following information: • The debt is in the form of long-term bonds, with a coupon rate of 10 per cent. The bonds are currently rated AA and are selling at a yield of 12 per cent (The market value of the bonds is 80 per cent of the face value). • The firm currently has 50 million shares outstanding, and the current market price is Rs. 80 per share. The firm pays a dividend of Rs. 4 per share and has a price/earnings ratio of 10.
  12. 12. • The stock currently has a bets of 1.2. The treasury bond rate is 8 per cent. • The tax rate for this firm is 40 per cent. a. What is the debt/equity ratio for this firm in book value terms? In market value terms? b. What is the firm’s after-tax cost of debt? c. What is the firm’s cost of equity? d. What is the firm’s current cost of capital?2. Now assuming that Neelkamal is considering a project that requires an initial investment of Rs. 100 million and has the following projected income statement: EBIT Rs. 20 million -Interest Rs. 4 million EBT Rs.16 million -Taxes Rs.6.40 million Net Income Rs.9.60 million (Depreciation for the project is expected to be Rs. 5 million a year forever.)This project is going to be financed at the same debt/equity ratio as the overall firm and isexpected to last forever. Assume that there are no principal repayments on the debt. (it too isperpetual) a) Evaluate this project from the equity investors’ standpoint. Does it make sense? b) Evaluate this project form the firm’s standpoint. Does it make sense? c) In general, when would you use the cost of equity as your discount rate/benchmark? d) In general, when would you use the cost of capital as your benchmark? e) Assume, for economies of scale, that this project is going to be financed entirely with debt. What would you use as your cost of capital for evaluating this project?3. You have been asked to calculate the debt ratio for a firm thaqt has the followingcomponents to its financing mix:a. The firm has 1 million shares outstanding trading at Rs. 50 per share.b. The firm has Rs. 25 Million in straight debt, carrying a market interest rate of 8 per centfor a period of 10 years.
  13. 13. c. The firm has 20,000 convertible bonds outstanding with a face value of Rs. 1,000 a marketvalue of Rs. 1,100 and a coupon rate of 5 per cent issued for 10 years.4. A company is trying to estimate its debt ratio. It has 1 million shares outstanding trading atRs. 50 per share and it had Rs. 250 million in straight debt outstanding (with a market interestrate of 9 per cent.) It also has two other securities outstanding:(i) It has 200,000 warrants outstanding, conferring on its holders the right to buy stock in thecompany at Rs. 65 per share. These warrants are trading at Rs. 12 each.(ii) It also has 10,000 convertible bonds outstanding with a coupon rate of 6 per cent, Facevalue of Rs. 1000 and 10 years to maturity.
  14. 14. Chapter 2: Capital Structure TheoryAn Important goal of corporate finance is to help manager’s sources funds to undertakeinvestments. Even in the absence of new investment opportunities, firms can issue newsecurities and use the funds to repay debt or reproduce shares. Capital structure theories seekto explain how the financing mix is to be determined. The present chapter classifies thesetheories in to three broad categories. a) Early theories b) Capital structure theories under perfect capital market conditions. c) Capital structure theories in the present of taxes and transactions costs. d) Capital structure theories under asymmetric information.2.1 Early theoriesThis chapter defines early theories as (i) The net income approach, (ii) net operating incomeapproach and (iii) the traditional approach to deciding on the optimal capital structure. Thethree approaches differ as to their assumptions regarding what happens to the cost of debt andequity as the firm levers.2.1.1 The Net Income (NI) ApproachThe essence of the net income approaches is that the firm can lower its cost of capital byusing debt. The approach is based on the crucial assumption that neither creditors norstockholders perceive that increased borrowing adds to their risks, so the firms cost of debtand cost of equity remain constant regardless of its level of debt.Consequently, the interest rate on debt (Kd) and the equity capitalization rate (Ke) remainconstant to debt. Therefore, the increased use of debt, lowers the overall cost of capital (Ka)for the firm, which results in higher market value of shares. Ka can be measured as:Ka=Ke-(Ke-Kd) D/V (1)Where D is market value of debt and V is total market value of the firm. Thus, the NIapproach recognizes that there exists an optimum capital structure, which is reached when the
  15. 15. cost of capital is lowest. This optimal capital structure is reached when the firm is financed100 per cent by debt as shown in figure 1. k Ke Ka kd D/VExample: Company A is funded by Rs. 9000 worth of debt carrying a interest obligation of 5per cent. With EBIT of Rs. 3000 and cost of equity of 10 per cent find the WACoC and themarket price per share for this company. Company B has the same capital requirement, but isfunded with Rs. 18,000 worth of debt and has issued 1650 shares of Rs. 10 each. Now findthe WACoC of this company too and also its Market price. Compare the two results.2.1.2 The Net Operating Income ApproachThe net operating income approach contends that capital structure does not matter, and thatthe firm cannot affect its overall cost of capital through leverage. Like the net incomeapproach, this approach also assumes that creditors do not react to increased debt levels.However, unlike Net Income approach, in the present approach, equity investors do react toincreased levels of debt. As a firm takes more debt, equity investors, in order to compensatefor the increased financial risk, increase their expected returns. This increase, in the absenceof taxes, cancels out any benefit derived from the use of debt, and the average cost remainsunchanged. For example, Ke can be defined as follows: Ke=Ka+(Ka-Kd) D/E (2)Where D/E is debt-equity ratio at market values. Equation (2) indicates that, if Ka and Kd areconstant, Ke would increase linearly with debt-equity ratio, D/E . Thus, there is no singlepoint or range where the capital structure is optimum. The NOI approach is shown in Fig. 2.
  16. 16. k Ke Ka kd D/VExample 2: A firm has a EBIT of Rs. 900,000. The firm is financed by debt to the tune ofRs. 40,00,000 raised at 7.5 per cent p.a. The weighted average cost of capital is 10 per cent.Find the present cost of equity and the cost of equity when the debt is increased to 50,00,000.Example 3.: Calculate the cost of equity in the two alternatives given in example 1 followingnet operating income approach.2.1.3 The Traditional ViewThis approach assumes that both creditors and stockholders perceive that increasedborrowing adds to their risks. As a firm increases its debt ratio, both its cost of debt and costof equity increase. As the leverage increases, initially, the cost of debt remains constant butincreased leverage leads to financial risk, the Ke will increase. However, during this phase,the increase in Ke is lower than the decrease in Ka (debt being cheaper than equity). As thefirm levers further, a stage will come that the Kd will change. At this juncture, the Ka alsostarts increasing. Thus the theory says that there does exist an optimal capital structure.The actual location of the optimum leverage point or rang for any given firm will vary withthe amount of business uncertainty involved in its operations and with the attitude of thecapital markets towards this uncertainty. This in turn is made up of the composite ofexpectation with regard to a company’s product markets and prices, the fixity of its costs, theliquidity and marketability of its assets, and the opinion of market with respect to the firm’smanagement. AS far as those elements of instability and uncertainty are concerned, a firm islikely to resemble other firms in the same industry. But inter industry differences are likely tobe significant. Because of this each industry group can be expected to have a differentoptimum range as far as leverage is concerned.
  17. 17. Ke Ka Cost (per cent) Kd D/V O L ˆ L2.2 Capital Structure Theories under Perfect CapitalMarket ConditionsThe following are the characteristics of a perfect capital market: (i) There are no costsincurred in making transactions in any market. In particular, there are no information costs,brokerage fees, distress costs or other costs associated with the purchase or sale of securitiesor other assets. (ii) There is perfect information available to all market participants who sharethe common objective of utility maximization.Note that we assume not only that securities can be bought and sold costlessly but that thefirm’s real assets can also be purchased or sold with no transactions costs. The inclusion ofthe market for real productive assets is important because in the event of a firm’s failure, itsassets can be sold without penalty in the secondary market.2.2.1 The Modigliani & Miller (MM) HypothesisMM, supporting the net operating income approach, argue that under certain circumstances,the total market value and the cost of capital of a firm remain invariant to changes in capital
  18. 18. structure. Though MMs conclusion are the same as those of the Net operating incomeapproach, the way they reached their conclusion was very different.Their theory is based on the following assumptions. i) Perfect capital market conditions: (a) Investors are free to buy or sell securities, (b) Individuals can borrow at the same terms as institutions from the capital market; (c) Investors behave rationally and (d) Absence of transaction costs. ii) Firms can be grouped into homogenous risk classes iii) Firms distribute all their profit to shareholders iv) Investors have homogenous expectations about the future operating performance of the firms. v) Absence of taxes. vi) All cash flows are perpetuitiesThe MM hypothesis can best the expressed in terms of their two propositions.Proposition 1: Financial leverage does not impact firm valueGiven that the market for bonds and stocks yield annual returns of rd and re respectively,individuals would try to maximize the returns of their investment and corporations would tryto maximize their market values.Say there are many individuals who make savings in the current period si . Let their currentand future incomes & consumption be mi and cio , ci1 respectively.Therefore, cio = mio − siThe individual must now decide how to allocate the si dollars between bond ( bi ) and stock( ei ) investments. The choice is made by maximizing the utility of a given consumptionstream, which implies maximizing the end of period wealth wi , for a given savings decision:Maximize wi1 = (1 + rd )bi + (1 + re )eiWith the following constraints: 1. Savings must be allocated between bonds and equities 2. Equity cannot be short sold
  19. 19. 3. If bonds are issued, they cannot exceed the present value of the individuals wealth ⎡ m ⎤ bi ≤ ⎢ mio + i1 ⎥ = wio ⎣ 1 + rd ⎦∴ his next period consumption can be defined as cio = mi1 + (1 + rd )bi + (1 + re )eiNow if rd > re then the individual will save by buying only bonds, while if re > rd theindividual will invest in equity only. Consequently the individual’s supply of funds to thebond market can be depicted as rd si rt - ⎡ mi 0 + mi1 ⎤ si bi ⎢ ⎥ ⎣ (1 + re ) ⎦Where si denotes the individuals savings when rd = re Over the entire range where rd = re ,the supply of funds.Corporate financing decision and demand for funds in the marketLet V j = B j + E j denote the value of securities issued by a (levered) corporation j, where LB j is the value of the firms debt and E j is the value of its equity.Now, let X j depict the corporation’s earnings for the period. The value of the firm’s equitycan then be written as:
  20. 20. X J − (1 + rd ) B j EJ = (1 + rE )Thus, the value of the levered firms can be expressed as X J − (1 + rd ) B j Xj ⎡ 1 + rd ⎤ VJ = + Bj = + ⎢1 − ⎥ Bj 1 + re (1 + re ) ⎣ 1 + re ⎦Thus, it can be seen that a corporation’s demand for funds via sale of bonds is perfectlyelastic so long as re = rd . And when re = rd the value of the levered firm is equal to the valueof the unlevered firm. Xj VjL = = V jU 1 + reIf V j L ≠ V j u , then there will be a arbitrage opportunity.To illustrate the arbitrage process, assume there are 2 otherwise identical firms (i.e., with thesame total future each flows from assets) one unlevered ‘U’ and one levered ‘L’. Since theexpected returns from both firms are same their values VU & V L should also be the same. Ifthe market values of the two firms are not equal Vu ≠ V L , the arbitrageur would sell theovervalued firm, borrow additional funds on personal account and invest in the undervaluedfirm in order to obtain the same return.Say V L > Vu and the arbitrageur hold α proportion of the levered firm’s equity S L . She couldsell his stake in the levered firm and borrow equivalent to α proportion of the levered firm’sdebt D L at the same rate as the firm, say and acquire α proportion of stake in theunlevered firm.The value of the new investment ∴ is αVu − α DL = α (Vu − DL ) and the returns are − −α x − α DL = α ( x − DL ) which is what she would have got if she had stayed put with his αproportion investment in the levered firm.
  21. 21. In the process she makes arbitrage gain of α (VL − V j ) .As a result of such actions the price ofthe levered firm decreased but note this actions will not increase the price of the unleveredfirm.Now say Vu > VL , then the arbitrage would work in the opposite direction. Say an investorholds α proportion of stocks in the unlevered firm. If Vu > VL the investor would sell thestocks and acquire α proportion of the levered firms debt and equity. _ −Therefore his investment is αVL & his returns α ( x − DL ) + α DL = α x which is what sheused to get in his earlier investment in the unlevered company’s stocks and in the process shemakes a arbitrage profit of α (Vu − VL ) . The said proof, is sometimes also called “homemade” leverage where investors use leverage in their own portfolios to adjust the leveragechoice made by the firm.Illustration: Homemade LeverageMM showed that the firm’s value is not affected by its choice of capital structure. Butsuppose investors would prefer an alternative capital structure to the one the firm has chosen.MM demonstrated that in such a case, investors can borrow or lend on their own and achievethe same result. For example, an investor who would like more leverage than the firm haschosen can borrow and add leverage to his or her own portfolio. When investors use leveragein their own portfolios to adjust the leverage choice made by the firm, we say that they areusing homemade leverage. As long as investors can borrow or lend at the same interest rateas the firm1 homemade leverage is a perfect substitute for the use of leverage by the firm.To illustrate, suppose the entrepreneur uses no leverage and creates an all-equity firm. Aninvestor who would prefer to hold levered equity can do so by using leverage in his ownportfolio- that is, she can buy the stock on margin, as illustrated in Table 2.1.1 This assumption is implied by perfect capital markets because the interest rate on a loan should depend only onits risk.
  22. 22. Table 2.1: Replicating Levered Equity Using Homemade Leverage Date 0: Cash Flows Date 1: Cash Flows (in Rs.) (in Rs.) Initial Cost Strong Economy Weak Economy Unlevered equity 1000 1400 900 Margin loan - 500 - 525 - 525 Levered equity 500 875 375If the cash flows of the unlevered equity serve as collateral for the margin loan, then the loanis risk-free and the investor should be able to borrow at the 5 per cent rate. Although the firmis unlevered, by using homemade leverage, the investor has replicated the payoffs to thelevered equity illustrated in Table 2.2, for a cost of Rs. 500. Again, by the Law of One Price,the value of levered equity must also be Rs. 500.Now suppose the entrepreneur uses debt, but the investor would prefer to hold unleveredequity. The investor can recreate the payoffs of unlevered equity by buying both the debt andthe equity of the firm. Combining the cash flows of the two securities produces cash flowsidentical to unlevered equity, for a total cost of Rs 1000, as we see in Table 2.2. Table 2.2: Replicating Unlevered Equity by Holding Debt and Equity Date 0: Cash Flows Date 1: Cash Flows (in Rs.) (in Rs.) Initial Cost Strong Economy Weak Economy Debt 500 525 525 Levered equity 500 875 375 Unlevered equity 1000 1400 900In each case, the entrepreneur’s choice of capital structure does not affect the opportunitiesavailable to investors. Investors can alter the leverage choice of the firm to suit their personaltastes either by borrowing and adding more leverage or by holding bonds and reducingleverage. With perfect capital markets, because different choices of capital structure offer nobenefit to investors, they do not affect the value of the firm.
  23. 23. Homemade Leverage and ArbitrageProblemSuppose there are two firms, each with date 1 cash flows of Rs. 1400 or Rs. 900 (as in Table2.1). The firms are identical except for their capital structure. One firm is unlevered, and itsequity has a market value of Rs. 990. The other firm has borrowed Rs. 500, and its equity hasa market value of Rs. 510. Does MM Proposition I hold? What arbitrage opportunity isavailable using homemade leverage?SolutionMM Proposition I states that the total value of each firm should equal the value of its assets.Because these firms hold identical assets, their total values should be the same. However, theproblem assumes the unlevered firm has a total market value of 990, whereas the leveredfirms has a total market value of 510 (equity) + 500 (debt) = 1010. Therefore, these pricesviolate MM Proposition I.Because these two identical firms are trading for different total prices, the Law of One Priceis violated and an arbitrage opportunity exists. To exploit it, we can borrow Rs. 500 and buythe equity of the unlevered firm for Rs. 990, re-creating the equity of the levered firm byusing homemade leverage for a cost of only 990 – 500 = 490. We can then sell the equity ofthe levered firm for 510 and enjoy an arbitrage profit of 20. Date 0 Date 1: Cash Flows Cash Flow Strong Economy Weak Economy Borrow 500 - 525 -525Buy unlevered equity - 990 1400 900 Sell levered equity 510 - 875 - 375 Total cash flow 20 0 0
  24. 24. Note that the actions of arbitrageurs buying the unlevered firm and selling the levered firmwill cause the price of the levered firm’s stock to fall until the firm’s values are equal andMM Proposition I holds.2.3 Modigliani & Miller Corporate Tax Corrected ModelEarlier we saw that according to MM in the absence of taxes and under certain conditions thevalue of a firm is independent of the way it is financed and the value of its equity is x j − (1 + rd ) B j Ej = (1 + re )Now, say the corporations are taxed at a rate tc and the interest on debt is tax deductible. Thecorporation’s taxable income now becomes ( x j − rd B j ) and the value of its equity will be x j − (1 + rd ) B j − ( x j − rd B j )tc Ej = (1 + re ) x j (1 − tc ) B j (1 + rd (1 − tc )) = − (1 + re ) (1 + re )And the value of the levered firms is V j = B j + E jHence, x j (1 − tc ) ⎡ 1 + rd (1 − tc ) ⎤ Vj = + ⎢1 − ⎥ Bj 1 + re ⎣ 1 + rd ⎦In the above equation when rd = re ⎡ x j (1 − tc) ⎤ rd tc B j Vj = ⎢ ⎥ + ⎣ 1 + re ⎦ 1 + rd Value of the unlevered Value of interest tax shield FirmNote that above model is a single period version of Modigliani and Miller (1963) taxcorrected model when rd = re . What we can see is that there does exist tax benefit due toleverage and hence the optimal capital structure for most firms in such as economy would
  25. 25. gravitate towards 100 per cent debt. Consequently the demand for debt in the market willincrease and with constant supply (because there is no treatment so far for personal taxes) theinterest rates must rise. As shown in the figure below, the equilibrium interest rate will be reachieved when rd = 1 − tc rd S re /(1 − tc ) D reSubstituting rd = re (1 − tc ) is x j (1 − tc ) ⎡ 1 + rd (1 − tc ) ⎤ VjL = + ⎢1 − ⎥ B j we get 1 + re ⎣ 1 + re ⎦ x j (1 − tc ) VjL = = V ju 1 + reThus, under conditions of market equilibrium the tax saving advantage of debt financing isdriven to zero. Hence, MM show that even in the presence of corporate taxes, capitalstructure is irrelevant.
  26. 26. 2.4 Personal taxes and the Miller Model (1977)Say bond interest income is taxed at the rate tp and equity income is not taxed. According toMiller (1971) even in such a market where you have corporate tax (tc) and personal tax oninterest income from debt investment (tp), capital structure does not affect firm value.We saw earlier that in the absence of taxes the equilibrium interest rate is rd = re . Further, inthe presence of corporate taxes, the demand for debt would increase and so would the cost ofdebt. As a result the equilibrium rate of interest now becomes re /(1 − tc ) .Now, in the presence of personal tax on debt income, corporations would have to compensateinvestors for their tax liability. Hence, to compensate investors the rate of return offered nowmust be re /(1 − t p ) . Since different investors would fall in different tax brackets, thecorporation would first issue debt to investors whose interest income is not taxed (tp=0) andthen it will increase the rate of interest depending upon the tax bracket in which the investorwill fall. rB S re /(1−tc) D re /(1−tp ) b, BSince the corporate demand for bond funds is the same as that already derived for the casewith corporate taxes, we can now consider the bond market equilibrium under both personal
  27. 27. and corporate taxes. The equilibrium rate of interest is again rd = re /(1 − tc ) . Hence, it can besaid that a firm can attract debt investors till tp<tc; if tp>tc investors would prefer to invest inequities.Earlier we saw that the gain from leverage is x j (1 − tc ) ⎡ 1 + rd * (1 − tc ) ⎤ VjL = + ⎢1 − ⎥ Bj 1 + re ⎣ 1 + re ⎦If we substitute at equilibrium bond rate rd * = re /(1 − t p ) = re /(1 − tc ) , we get Vj = Vj L uThus, market equilibrium conditions in the bond market (even in the presence of personal &corporate taxes) produces conditions under which the firm’s capital structure choice is amatter of indifferences to its owners.Including Personal taxes in valuation of Interest tax shieldSay tpd & tpe denote the personal tax on debt and equity income respectively. And tc denotecorporate tax rate. Therefore, the after tax cash flows for every Re.1 of pretax cash flow todebt holders and equity holders is given by (1-tpd) and (1-tc) (1-tpe) respectively.Under these circumstances, through there may be a tax advantage due to issuing debt, it maynot be the same as when there was only corporate tax.Say tc = 35 per cent tpd=35 per cent and tpe=15 per cent. In this case the equity holders receiveless after tax cash flows as compared to debt holders. (1 − t pd ) − (1 − tc )(1 − t pe ) (1 − tc )(1 − t pe ) t* = = 1− (1 − t pd ) (1 − t pd )
  28. 28. 0.65 − 0.525 = = 15% 0.65When there are no personal taxes t*=tc. But when equity income is taxed LESS HEAVILY(td>tpe) then T* is less than Tc. However, as long as T*>0, then despite any tax disadvantage ofdebt at personal level, the value of the firm with leverage becomes: V L = V u + t*DBecause of the personal tax disadvantage of debt, WACoC will decline more slowly withleverage than it would otherwise would.2.5 Asset Pricing under Asymmetric Information2.5.1 Privately-known-Prospects ModelA borrower/entrepreneur has no funds (A=0) to finance a project costing I. The project yieldsa return of R in the case of success and 0 in the case of failure. The borrower and the lendersare risk neutral, and the borrower is protected by limited liability. The interest rate in theeconomy is normalized at 0.The borrower can be one of two types. A good borrower has a probability of success equal top. A bad borrower has a probability of success q. Assume that p > q and that pR > I ( at leastthe good type is creditworthy). There are two subcases, which we will treat separately:Either pR > I > qR (only the good type is creditworthy).Or pR > qR > I (both types are creditworthy).The borrower has private information about her type. The capital market, which iscompetitive and demands an expected rate of return equal to 0, puts probabilities α and 1 - αon the borrower being a good or bad type, respectively. Under asymmetric information, thecapital market does not know whether it faces a “p-borrower” (a good borrower) or a “q-
  29. 29. borrower” (a bad borrower). Let m = αp + (1-α) q denote the investors prior probability ofsuccess.Market Breakdown and Cross-Subsidization1. Symmetric Information To set a benchmark, first consider financing when the investors know the project’s prospects. The good entrepreneur obtains financing. One optimal arrangement for her is to secure the highest level of compensation, R bG in the case of success, consistent with investors’ breaking even on average: p ( R − Rb ) = I G If qR < I, the bad borrower does not want to invest because, under symmetric information, she would receive the NPV, qR – I < 0 if she could secure funding. Besides, she cannot obtain financing anyway because the pledgeable income, qR, is smaller than the investor’s outlay, I. If qR > I, then the bad borrower received funding and secure compensation R bB in the case of success, where q( R − RbB ) = I . Clearly, RbB < Rb . G2. Asymmetric InformationThe symmetric information outcome, however, is not robust to asymmetric information, as Gthe bad borrower can, by mimicking the good borrower, derive utility qRb that is greaterthan that (either 0 or qRbB ) she obtains by revealing her type.Let us assume that the only feasible financial contracts are contracts that give the borrower acompensation Rb ≥ 0 in the case of success and 0 in the case of failure. Such contractsnecessarily pool the two types of borrower as each prefers receiving financing to not being
  30. 30. funded, and conditional on being funded, prefers contracts with a higher compensation. Theinvestor’s profit for such a contract is therefore on average: [αp + (1 − α )q]( R − Rb ) − I = m( R − Rb ) − INo lending: mR < I. This case can arise only if the bad borrower is not creditworthy. It thenarises whenever the probability that the borrower is a bad borrower is large enough, or α < α *,Where, α * ( pR − I ) + (1 − α * )(qR − I ) = 0Because the borrower cannot receive a negative compensation ( Rb ≥ 0 ), investors losemoney if they choose to finance the project. Accordingly they do not and the market breaksdown. The good borrower is therefore hurt by the suspicion that she might be a bad one.There is under investment.Lending: mR ≥ 1 . This case corresponds either to the situation in which both types arecreditworthy or to that in which the bad borrower is not creditworthy but α ≥ α * . Theborrower’s compensation Rb is then set so that the investors break even on average. m( R − Rb ) = I .This implies that, ex post, investors make money on the good type ( p( R − Rb ) > I ) and losemoney on the bad type (q( R − Rb ) < I ) : there is cross-subsidization.Note also that Rb < Rb G(and Rb > RbB if the bad borrower is creditworthy). The good borrower is still hurt by thepresence of bad ones, although to a lesser extent than when the market breaks down. Thegood borrower must content herself with a lower compensation (i.e., a higher cost of capital)in the case of success than under symmetric information. Put differently, and interpreting theinvestor’s share as a risky loan with nominal interest rate r such that R − Rb = (1 + r ) I , thenr > r G , where r G is the rate of interest that the good borrower could obtain under symmetricinformation: R − Rb = (1 + r G ) I . GHow much discount is suffered by the good borrower? mR ≥ I
  31. 31. Can be rewritten as ⎡ ⎛ p − q ⎞⎤ ⎢1 − (1 − α )⎜ ⎜ p ⎟⎥ pR ≥ I ⎟ ⎣ ⎝ ⎠⎦We can thus define an index of adverse selection: ⎛ p−q⎞ χ ≡ (1 − α ) ⎜ ⎟. ⎝ p ⎠In the absence of signaling possibility, the good borrower’s pledgeable income, pR, isdiscounted by the presence of bad borrowers. The discount is measured by the product of theprobability of bad types, 1-α, times the likelihood ratio, (p-q)/p.2.5.2 Pecking-Order HypothesisAn important theme in corporate finance is that adverse selection calls for the issuance ofdebt claims. As we discussed in the introduction, Myers (1984) and Myers and Majluf (1984)have formulated a pecking-order hypothesis that places debt as the preferred source ofexternal financing. Recall that these authors argue that sources of financing can be rankedaccording to their information intensity, from low to high information intensity: (1) Internalfinance (entrepreneur’s cash, retained earnings), (2) debt, (3) junior debt, convertibles, and(4) equity.The pecking-order hypothesis is based on the investor’s concern about the value of the claimthey acquire. It is clear, for example, that default-free debt creates no concern for investors asto the value of their claim. We first provide conditions under which debt is indeed thepreferred source of financing under asymmetric information about the firm’s prospects, andthen discuss the robustness of the pecking-order hypothesis.There is no distinction between debt and equity claims when the profit is either R or 0. Let ustherefore add a salvage value of the assets RF : the profit in the case of failure is RF > 0 andthat in the case of success is Rs = RF + R, where R still denotes the profit increment. Exceptfor the introduction of a salvage value, the model is otherwise that of section 2.5.1: there areno assets in place. The investment cost I must be entirely defrayed by the investors. The
  32. 32. probability of success is p for a good borrower (probability α) and q for a bad one(probability 1- α). The prior mean probability of success is m ≡ αp + (1-α)q Let us assume that mR s + (1 − m) R F > Iand so there is enough pledgeable income to secure funding even when the bad borrowerpools with the good one. { }Let RbS , RbF denote the (nonnegative) rewards of the borrower in the cases of success andfailure. Assuming that the borrower receives funding, the investor’s breakeven condition is m ( R s − R bS ) + (1 − m )( R F − R bF ) ≥ I .The good borrower maximized her expected payoff. pR bS + (1 − p ) R bFsubject to the breakeven constraint. At the optimum, the investor’s breakeven condition issatisfied with equality. It can be rewritten as [ p − (1 − α )( p − q )]( R S − RbS ) + [1 − p + (1 − α )( p − q)]( R F − RbF ) = I .The good borrower’s utility is then equal topRbS + (1 − p ) RbF = [ pR S + (1 − p) R F − I ] − (1 − α )( p − q)[ R S − RbS ) − ( R F − RbF )]On the right-hand side of this equality, the first term in brackets represents the NPV of thegood borrower, namely, what she would receive under symmetric information. The secondterm as usual refers to the adverse-selection discount.The good borrower wants to minimize this discount while satisfying the investor’s breakevenconstraint. Because the discount increases with RbF and decreases with RbS , the goodborrower sets RbF = 0Then, RbS , is determined by the investor’s breakeven constraint: m( R S − RbS ) + (1 − m) R F = I
  33. 33. To sum up this analysis, the borrower commits the entire salvage value as safe debt issued toinvestors. The borrower further issues risky equity with stake R S − RbS in the case of success( and 0 in the case of failure) so as to make up for the shortfall in pledgeable income: m( R S − RbS ) = I − R F .Thus, the firm first issues safe debt with a debt obligation D given by D = RF ,and, second, supplements the capital thus raised through an equity issue entitling shareholdersto a fraction R1/R of profits in excess of RF, where mR1 = I − D ,Note that the borrower must issue more equity, the more acute the adverse-selection problem(the lower m is) or the higher the investment cost.Intuitively, the borrower starts by issuing the claim that is least exposed to adverse selection,here the safe-debt claim. Doing so allows the good borrower to minimize the cross-subsidization with the bad borrower. The more sensitive the investors’ claim to theborrower’s private information, the higher the return that the investors demand from a goodborrower to make up for the money they lose on the bad one.Alternative Ways to Signali) Certification As we have seen, adverse selection in general leads to cross-subsidization or market breakdown, which are costly to good borrowers or issuers. Therefore, good issuers have an incentive to try to mitigate the investor’s informational disadvantage. The asymmetry of information can be reduced through disclosure to investors of information about the firm’s prospects. Lending by an informed party (whether a bank, a peer, or a trade creditor) is a signal that the informed party is confident about the possibility of repayment. Such “informed lending” is therefore likely to bring along less well-informed investors.
  34. 34. More generally, issuers can reduce informational asymmetries by borrowing from well-informed investors or by asking them to certify the quality of the issue. There is a large variety of certifying agents: underwriters, rating agencies, auditors, venture capitalists. Of course, it must be the case that the certifying agent has an incentive to become well-informed about the firm’s prospects and to take actions that properly convey their information to the prospective investors. The “actions” can be a rating, a report, or a subscription to the issue (or, in the case of a venture capitalist, the action of keeping a non-negligible stake in the firm). And, in all cases, reputation is the only such incentive for a rating agency, which does not take a stake in the firm.ii) Costly Collateral Pledging Signaling by pledging collateral. The collateral is valued less risky by the lender than by the borrower. Therefore, a good borrower would signal his quality by pledging a costly collateral which is to be seized by the lender in case of failure. In doing so the good borrower is offering terms that do not appeal to the bad borrower. Signaling can occur live because it is more costly for a bad borrower to pledge collateral than for a good one.iii) Raise less resource for the future than would be efficient under symmetric information. Consequently a good borrower is trying to convey that she is not afraid of going back to the capital market at an intermediate stage.iv) Payout Policy: Dividend payout has generally been used by firm’s insiders to signal information beyond that contained in earnings announcements. A firms stock price substantially increases (decreases) upon announcement of an increase (decrease) in payout. Thus, suggesting that dividends convey information held by the firms insiders, but not by the stock market. Dividends may demonstrate the existence/realty of cash to investors. Dividends may also be a signal that the company does not need a large financial cushion in the future.
  35. 35. v) Diversification and incomplete insurance. A borrower may want to issue claims not only because there exists a risk averse entrepreneur who has a substantial stake in her firm and now wants to diversify her portfolio. In such a situation, the entrepreneur decision to issue equity claims is not so as to undertake a new project or to expand an existing one. Rather, gains from trade result from risk sharing with investors who are less exposed to firm’s specific risk. Under symmetric information and in the absence of moral hazard the entrepreneur optimally obtains full insurance and the risk attacked to firm’s income is fully borne by the investors. However, under symmetric information this is not the case since the investor is concerned about purchasing a “lemon”. Thus, under such circumstances, the good borrower is willing to bear risk in order to demonstrate that she is confident about the firm’s prospects. Although, imperfect diversification has a cost, it allows a good borrower to obtain a better price for the claims she issues. In doing so, the borrower has to signal good prospects to probable investors, by increasing the sensibility of her own returns to the firms profits.vi) Under pricing: Under symmetric information conditions when the investors being wary about ‘adverse selection’ are not willing give money to the firm the good borrower may under price the issue in-order to signal to the investors that they are buying in to a high quality asset. However, under pricing is a very primitive signaling device used only when the good borrower does not have any other cheaper mean of setting herself export from the bad ones.2.5.3 Trade off theory According to this theory, the optimal proportion of debt financing will be determined by the trade off between the positive and negative effects of borrowing. Debt provides two significant advantages to firms relative to equity. It provides a tax benefit because interest expenses are tax deductible and for some firms, it can force managers to be more disciplined in their investment choices. However, along with these advantages debt also comes with some costs. Debt increase the risk that a firm will be unable to
  36. 36. meet its fixed payments and go bankrupt. As firms borrow money they increase the potential for conflicts between lenders and equity investors, and firms that borrow money lose some flexibility with regard to future financing. It is this tradeoff that tells us how much a firm should borrow. Benefits of debt Two benefits of debt as citred in literature are” (i) Interest tax shield and (ii) Disciplining effect of debt. Interest Tax shield Tax laws allow firms to deduct interest payments on debt from taxable income but do not provide a similar deduction for cash flows from equity. The tax benefit from debt can be calculated in one of the two ways: (i) Compute the present value of tax savings from interest payments. (ii) Measure the savings from the tax deduction as the difference between the pre tax and after tax rate of borrowing. Tax savings from interest payments: Consider a firm that borrows Rs. B to finance its operations on which it pays and interest rate of r per cent and assume that its marginal tax rate is t per cent of its income. The annual tax savings from the interest tax deduction can be calculated as: • Annual interest expense arising from the debt = rB • Annual tax savings arising from the interest payment=trBHowever, when it comes to valuation of interest tax shields across a period of time, then oneneeds to think of the rate at which the tax shields needs to be discounted. The most frequentlysuggested discount factor is the interest rate of debt itself, assuming that the tax shield is asrisky as the debt servicing. For example, say the debt for a firm is perpetual, the present valueof tax shield for the entire life of the company can be calculated as (trB/r)=tBHowever, the above simplification of treating the interest tax shield to be as risky as interestpayment, overlooks the following points: (i) The interest tax shields may be more uncertain than interest payments because to make use of tax shields, there needs to be some taxable profit. What if the company is not currently making profits.
  37. 37. (ii) Also, the government takes two bites out of the corporate income: The corporate tax and the tax on the bondholders’ and stockholders’ personal income. While corporate tax favours debt, personal taxes favour equity holders. Hence, one should consider the effective interest tax shield. (iii) The debt capacity of a firm depends on how well it performs. Hence, more often than not companies tie their borrowings to their performance (future project/firm value), hence the interest amount and the tax shields so generated are not constant.As for the first point stated above, it can be said that the company may be able to carryforward the loss to be set off against next years business income. The solution to the secondpoint can be reached by using effective tax shields that accounts for the personal taxdisadvantage to debt holders vis a vis equity holders. Finally, the valuation of interest taxshields would depend on the financing policy of the company. (i) If the firm borrows a fraction of the initial value of the project and no more and also make any debt repayments on a predetermined schedule, then the interest tax shields can be considered to be as risky as the interest payments and hence discounted at Kd. (ii) If the firm borrows a constant fraction of the future value of the project and adjust its borrowing as the future value changes, then interest tax shields pick up the projects business risk. Hence, they need to be discounted at the project’s opportunity cost of capital (its WaCoC). Discipline of Debt In the 1980s, in the midst of the leveraged buyout boom, a group of practitioners and academics, led by Michael Jensen at Harvard proposed a new rationale for borrowing, based on their perception that some managers make wasteful investments with what they called a firm’s free cash flows. Free cash flows, as they defined them, represent cash flows from operations over which managers have discretionary spending power. Cost of Debt Two costs of debt as cited in literature are: (i) Expected cost of bankruptcy and (ii) Agency cost of debt.
  38. 38. Cost of BankruptcyA firm is bankrupt when it is unable to meet its contractual commitment. To ascertain thecost of bankruptcy, it is necessary to measure the probability of bankruptcy, which, inturn isdetermined by the following: 1. Size of operating cash flows relative to size of cash flows on debt obligation. 2. Variance in operating cash flows.The direct cost of bankruptcy is the cost incurred in terms of cash outflows at the time ofbankruptcy. These costs include legal and administrative costs as well as the cost of distresssale. Generally, researchers have found that the direct costs of bankruptcy for large firms arelikely to be fairly small.Indirect costs of bankruptcy are due to the following: (i) Loss in revenue that may occur due to the customer’s perception that the firm is in trouble. Customers may stop buying the product or service out of fear that the company will go out of business. (ii) Suppliers may demand stricter credit terms in order to protect themselves against the possibility of default. (iii)The firm may experience difficulty in raising new capital.Shapiro (1989) and Titman (1984) point out that the indirect costs of bankruptcy are likely tobe higher for some firms than for others. The difference depends on the type of products thefirm produces and sell. They argue that indirect bankruptcy costs are higher for the followinggroups of firms: (i) Firms that sell durable products with long lives that require replacement parts and service. (ii) Firms that provide goods or services for which quality is an important attribute that is difficult to determine in advance. (iii) Firms producing products whose value to customers depends on the services and complementary products supplied by independent companies. (iv) Firms that sell products requiring continuous service and support from the manufacturer.Agency CostsAgency theory refers to the incentives of different parties to pursue their own interest aheadof the shareholder organisation’s interest. This theory attempts to reduce the potential forconflicts among the firm’s capital providers by recognizing the circumstances in which
  39. 39. managers’, shareholders’, and debt-holders’ interests are most likely to diverge. In corporatefinance, agency problems are mostly encountered in the context of establishing a firm’soptimal financial policy. Existing literature classifies these agency problems under thefollowing two broad categories:(i) The agency costs of equity and(ii) The agency costs of debt.Agency costs of equityAgency costs of equity arise when there is a conflict between the decisions made bymanagers and the interest of the shareholders. For instance, suppose a entrepreneur owns 100percent of equity of a firm. Suppose that she is considering the purchase of a fleet of ToyotaCorolla for his top management team. Consequently, the value of the company as well as theentrepreneur would drop by Rs. 1 crore. Now, suppose instead that the entrepreneur’s stakehad been 50 per cent. Consequently, though the value of the company would reduce by Rs. 1crore, the entrepreneur only stands to loose Rs. 50 lacs. In other words, she gains resources tothe tune of Rs. 1 crore with a personal investment of only Rs. 50 lacs. Accordingly, it can besaid that as the management’s share of equity falls, there is lesser incentive to refrain fromvalue destroying investments.Several courses of actions have been suggested to align the interest of the managers and theshare holders:(i) Increase the entrepreneur/manager’s stake(ii) Board of directors and other external investors may monitor the investment decisions of the managers.(iii) A high level of leverage, since it enforces discipline on managers by reducing the free cash flows available to them and it also increases the percentage of the manager’s equity holding thus mitigating possible conflict between managers and shareholders.Agency costs of debtOne way to overcome the agency costs to equity, suggested above, is by relying more ondebt. However, greater usage of debt may create conflict of interest between debt holders andequity holders. Because, greater usage of debt gives equity holders an incentive to invest suboptimally. There are two ways in which greater reliance on debt can result in suboptimalinvestment:
  40. 40. (i) Asset substitution problem and(ii) Debt overhang problemAsset substitution problemDebt holders have limited upside potential and any further gain is passed on to the equityinvestor. But if the investment fails, debt holders also have to bear the consequences. Hencedebt holders and equity holders have different incentives to bear risk, which affects theirpreferences for the type of investment firms should make. The potential for conflict isgreatest when the firm is near or in financial distress. Under these circumstances, equityholders may favour investing in very risk projects that have a negative NPV. This is sobecause, they feel that the negative NPV is because of the higher expectations arising due tothe enhanced risk perception. However, in a distress kind of a situation, any ways the equityholders may have only residual claim and hence, they may be tempted to undertake the riskyinvestment with the hope that if the risk pays off, they may stand to gain. This view point isin direct contradiction with how a debt holder may think under similar circumstances. Thedebt holder would try to secure his investment since she has the primary claim underliquidation. Thus, this agency conflict results in an incentive to overinvest in excessivelyrisky projects.Consequently, debt holders would increase their lending rates to cover for agency costs orthey would impose restrictive covenants on decisions that have economic impact beyond aspecified limit.Debt overhang problemWhen a firm has excessive debt as compared to its assets, even if it has profitable investmentopportunities, it would not normally find debt or equity providers of capital. For instance, saythe firm has assets worth Rs. 100 crore and debt outstanding of Rs. 125 crore. Currently thefirm has a project that could be undertaken with an investment of Rs. 20 crore and wouldyield a definite NPV of Rs. 15 crore. If the firm could fund this project, its asset value willrise to Rs. 135 crore. But how will the company raise the necessary funds?Suppose a debt provider agrees to lend Rs. 20 crore and if the company goes into liquidation,the existing debt holders will be paid first a worth of Rs. 125 crore and hence the new debtprovider will get only Rs. 10 crore in return for the Rs. 20 crore that she has provided. Hence,no sane debt provider would fund this project. Equity, funding is even less plausible sincethey have claim only on the residual wealth. As in the case of asset substitution, the debt
  41. 41. overhang problem also is acute if the company is in financial distress, when the firm’s valueis predominantly based on future growth opportunities or has few tangible assets. Hence, boththe existing debt providers (Rs. 25 crore loss) as well as the new debt providers (anopportunity to make definite positive NPV) end up loosing. An equilibrium solution would bethen to negotiate with the existing lenders to accept a small loss (lesser than Rs. 25 crore; say10 crore). Now if the company has to go into liquidation after making the new investment,then the old lenders need to be provided Rs. 115 crore and the new lenders will get Rs. 20crore for their investment of Rs. 15 crore. Thus, everyone is better off. However, in reality itis very difficult to renegotiate the terms of the debt contracts. Thus, the best way is to avoidsuch a situation by not levering beyond what your tangible assets allow for.Other agency costsBoth the instances cited above deal with agency problem between managers/entrepreneursand investors. But going further there also could be agency costs between different firms andwith customers. For instance, say firms whose products have long lives and which involveextensive maintenance and/or repair service requirement during its effective life. Hence, thecustomer’s decision to buy today will depend on his confidence that the firm will providethose services even in the future. If the customer expects the company to go bankrupt or be infinancial distress, she may not purchase the same. This would further hurt the firm’s sales andoperating performance. Thus, the type of product one manufactures as well as the kind ofpost sales support that would be needed for such a product may also be important factorswhile deciding on the amount of debt that a firm should take.Numericals1. The Bharat Co. and Charat Co. belong to the same risk class – these companies areidentical in all respects except that the Chart Company has no debt in its capital structure,whereas Bharat Company employs debt in its capital structure. Relevant financial particularsof the two companies are given below:Particulars Bharat CharatNet Operating Income Rs. 500,000 Rs. 500,000Debt Interest - Rs. 200,000Equity Earnings Rs. 500,000 Rs. 300,000Equity Capitalisation rate 12% 14%
  42. 42. Market Value of Equity Rs. 41,66,667 Rs. 21,42,857Market Value of Debt (Debt Capitalisation rate is 8%) - Rs. 25,00,000Total Market Value of the Firm Rs. 41,66,667 Rs. 46,42,857Average cost of capital 12% 10.77%(a) You own Rs. 10,000 worth of Bharat’s equity. Show what arbitrage you would resort to.(b) When will, according to Modigliani and Miller, this arbitrage ease?2. Amalsons Ltd. had debt outstanding of Rs. 1.7 billion (it will be kept constant throughout) and a market value of equity of Rs. 1.5 billion; the corporate marginal tax rate was 36 per cent. The T Bill rate is 5.8 per cent and the T Bond rate is 6.4 per cent. a. Assuming that the current beta of 0.95 for the stock is a reasonable one, estimate the unlevered beta for the company. b. How much of the risk in the company can be attributed to business risk and how much to financial leverage risk?3. You have just done a regression of monthly stock returns of Hiy Tech Ltd., a manufacturer of heavy machinery, on monthly market returns over the last five years and come up with the following regression: RHiy Tech = 0.5% + 1.2 RM The variance of the stock is 50%, and the variance of the market is 20 per cent. The current T. bill rate is 3 per cent. (It was 5 per cent one year ago.) The stock is currently selling for Rs.50, down Rs. 4 over the last year, and has paid a dividend of Rs. 2.50 over the next year. The National Stock Exchange (NSE) Nifty has gone down 8 per cent over the last year, with a dividend of 3 per cent. Hiy Tech Ltd. has a tax rate of 40 per cent. The market risk premium over T Bond rate is 5.5 per cent and over T Bill rate is 8.76 per cent. a. What is the expected return on Hiy Tech over the next year? b. What would you expect Hiy Tech’s price to be one year from today? c. What would you have expected Hiy Tech’s stock returns to be over the last year? d. What were the actual returns on Hiy Tech over the last year? e. Heavy Tech has Rs. 100 million in equity and Rs. 50 million in debt. It plans to issue Rs.50 million in new equity and retire Rs.50 million in debt. Estimate the new beta.
  43. 43. 4. OVL, which had a market value of equity of Rs. 2 billion and a beta of 1.50, announced that it was acquiring RPL, which had a market value of equity of Rs.1 billion and a beta of 1.30. Neither firm had any debt in the financial structure at the time of the acquisition, and the corporate tax rate was 40 per cent. a. Estimate the beta for OVL after the acquisition, assuming that the entire acquisition was financed with equity. b. Assume that OVL had to borrow the Rs. 1 billion to acquire RPL. Estimate the beta after the acquisition.5. You run a regression of monthly returns of OIL Ltd., an oil-and gas-producing firm, on the S&P CNX Nifty and come up with the following output for the period 2003-2008. The market risk premium over T Bond rate is 5.5 per cent. Intercept of the regression = 0.06 per cent Slope of the regression = 0.46 Standard error of X-coefficient =0.20 R squared = 5 per cent There are 20 million shares outstanding, and the current market price is Rs. 2 per share. The firm has Rs. 20 million in debt outstanding. (ignore tax effects) a. What will an investor in OIL’s stock require as a return if the T. bond rate is 6 per cent? b. What proportion of this firm’s risk is diversifiable? c. Assume now that OIL has three divisions of equal size (in market value terms). It plans to divest itself of one of the divisions for Rs. 20 million in cash and acquire another for Rs. 50 million. (it will borrow Rs. 30 million to complete this acquisition.) The division it is divesting is in a business line where the average unlevered beta is 0.20, and the division it is acquiring is in a business line where the average unlevered beta is 0.80. What will the beta of OIL be after this acquisition?6. You have just run a regression of monthly returns of Jet Airways against the S&P CNX Nifty over the last five years. You have misplaced some of the output and are trying to derive it from what you have.
  44. 44. a. You know the R squared of the regression is 0.36, and that your stock has a variance of 67 per cent. The market variance is 12 per cent. What is the beta of Jet? b. Your are comparing Jet to another firm that also has an R squared of 0.48. Will the two firms have the same beta? If not, why not?7. ZEES TV., the entertainment conglomerate, has a beta of 1.61. Part of the reason for the high beta is the debt left over from ZEES’s leveraged buyout of ATN in 1999, which amounted to Rs. 10 billion in 2005. The market value of equity at ZEES in 2005 was also Rs. 10 billion. The marginal tax rate was 40 per cent. a. Estimate the unlevered beta for ZEES TV. b. Estimate the effect of reducing the debt ratio by 10 per cent each year for the next two years on the beta of the stock.7. You are advising a phone company that is planning to invest in projects related to multimedia. The beta for the telephone company is 0.75 and has a debt/equity ratio of 1.00; the after-tax cost of borrowing is 4.25 per cent. The multimedia business is considered to be much riskier than the phone business; the average beta for comparable firms is 1.30, and the average debt/equity ratio is 50 per cent. Assuming that the tax rate is 40 per cent (The risk less rate is 7 per cent and the market risk premium above T Bond rate is 5.5 per cent). a. Estimate the unlevered bets of being in the multimedia business. b. Estimate the beta and cost of equity if the phone company finances its multimedia projects with the same debt/equity ratio as the rest of its business. c. Assume that a multimedia division is created to develop these projects, with a debt/equity ratio of 40 per cent. Estimate the beta and cost of equity for the projects with this arrangement.8. Intel is exploring a joint venture with Ford to develop computer chips to use in automobiles. Although Intel has traditionally used a cost of equity based on its bets of 1.50 and a cost of capital based on its debt ratio of 5 per cent, it is examining whether it should use a different approach for this project. It has collected the following information.
  45. 45. • The average beta for automobile component firm is 0.90 per cent, and the average debt/equity ratio across these firm is 40 per cent. • The joint venture will be financed 70 per cent with equity form Ford and Intel, and 30 per cent with new debt raised at a market interest rate of 7.5 per cent. a. Estimate the beta that Intel should use for this project. b. Estimate the cost of capital and Intel should use for this project c. What would be the consequences of Intel using its current cost of equity and capital on this project.9. IPC Ltd. is reexamining the costs of equity and capital it uses to decide on investments in its two primary businesses – food and tobacco. It has collected the following information on each business. • The average beta of publicly traded firms in the tobacco business is 1.10, and the average debt/equity ratio of such firms is 20 per cent. • The average bets of publicly traded firms in the food business is 0.80, and the average debt/equity ratio of such firms is 40 per cent. IPC has a beta of 0.95 and a debt ratio of 25 per cent, the pre-tax cost of debt is 8 per cent. The treasury bond rate is 7 per cent, and the corporate tax rate is 40 per cent. a. Estimate the cost of capital for the tobacco business. b. Estimate the cost of capital for the food business. c. Estimate the cost of capital for IPC, as a firm.10. Assume that IPC Ltd. is considering separating into two companies – one holding the tobacco business and the other the food business. b) Assuming that the debt is allocated to both companies in proportion to the market values of the divisions, estimate the cost of capital for each of the companies. Will it be the same as the costs of capital calculated for the divisions? Why or why not? c) Assuming that the tobacco firm is assigned all the debt and that both firms are of equal market value, estimate the cost of capital for each company. (Assume that the pre-tax cost of debt will increase to 10 per cent, if this allocation is made.)
  46. 46. Chapter 3: Deciding on the Optimal Financing Mix3.1 Operating Income ApproachThe operating income approach is the simplest and one of the most intuitive ways ofdetermining how much a firm can afford to borrow. We determine the firm’s maximumacceptable probability of default. Based on the distribution of operating income, we thendetermine how much debt the firm can carry.Steps in Applying the Operating Income ApproachWe begin with an analysis of a firm’s operating income and cash flows, and we consider howmuch debt it can afford to carry based on its cash flows. The steps in the operating incomeapproach are as follows:1. Assess the firm’s capacity to generate operating income based on both current conditions and past history. The history is a distribution for expected operating income, with probabilities attached to different levels of income.2. For any given level of debt, estimate the interest and principal payments that have to be made over time.3. Given the probability distribution of operating cash flows and the debt payments, estimate the probability that the firm will be unable to make those payments.4. Set a limit on the probability of its being unable to meet debt payments. The more conservative the management of the firm, the lower this probability constraint will be.5. Compare the estimated probability of default at a given level of debt to the probability constraint. If the probability of default is higher than the constraint, the firm chooses a lower level of debt; if it is lower than the constraint, the firm chooses a higher level of debt.
  47. 47. Limitations of the Operating Income ApproachAlthough this approach may be intuitive and simple, it has some drawbacks • Estimate a distribution for operating income is not as easy as it sounds, especially for firms in businesses that are changing and volatile. • Second, even when we can estimate a distribution, the distribution may not fit the parameters of a normal distribution, and the annual changes in operating income may not reflect the risk of consecutive bad years • Finally, the probability constraint set by management is subjective and may reflect management concerns more than stockholder interests. For instance, management may decide that it wants no chance of default and will refuse to borrow money as a consequence.3.2 Cost of Capital ApproachWeighted average of the costs of the different components of financing – including debt,equity, and hybrid securities – used by a firm to fund its financial requirements determine itscost of capital. By altering the weights of the different components, firms might be able tochange their cost. In this approach, we estimate the costs of debt and equity at different debtratios, use these costs to compute the costs of capital, and look for the mix of debt and equitythat yields the lowest cost of capital for the firm. At this cost of capital, we will argue thatfirm value is maximized.Cost of Capital and Firm ValueIn chapter 1 we examined the approaches available for estimating the costs of debt, preferredstock and equity, and the appropriate weights to use in computing the cost of capital.Summarizing, • The cost of equity should reflect the riskiness of an equity investment in the company. The standard models for risk and return – the capital asset pricing model and the arbitrage pricing model - measure risk in terms of market risk and convert the risk measure into an expected return. • The cost of debt should reflect the default risk of the firm: the higher the default risk, the greater the cost of debt. The cost of debt also reflects the tax advantage
  48. 48. associated with debt, since interest is tax deductible and cash flows to equity are not. Cost of Debt=Pre-tax Interest Rate on Borrowing (1-tax rate) • The cost of preferred stock should reflect the preferred dividend and the absence of tax deductibility. Preferred Dividend Cost of Preferred Stock = Preferred Stock Price or as stated in chapter 1, as YTM. However, unlike debt preference dividend does not offer tax shield. • The weights used for the individual components should be market value weights rather than book value weights.In order to understand the relationship between the cost of capital and optimal capitalstructure, we rely on the relationship between firm value and the cost of capital. We knowthat the value of the entire firm can be estimated by discounting the expected cash flows tothe firm at the firm’s cost of capital. The cash flows to the firm can be estimated as cashflows after operating expenses, taxes, and any capital investments needed to create futuregrowth in both fixed assets and working capital, but before financing expenses.Cash Flow to Firm = EBIT (1-t) – (capital expenditures – depreciation) – Change in working capitalThe value of the firm can then be written as t =n CF to Firm t Value of Firm = ∑ t =1 (1 + WACC) twhere WACC is the weighted average cost of capital. The firm’s value, then, is function ofthe firm’s cash flows and its cost of capital. If we assume that the cash flows to the firm areunaffected by the choice of financing mix, and the cost of capital is reduced as a consequenceof changing the financing mix, the value of the firm will increase. If the objective in choosingthe financing mix for the firm is the maximization of firm value, we can accomplish it, in thiscase, by minimizing the cost of capital. In the more general case where the cash flows to thefirm are a function of the debt-equity mix, the optimal financing mix is the mix thatmaximizes firm value.

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