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Understanding Capital Structure Determination in Finance

Explore the concept of capital structure in finance, including the net operating income approach, traditional approach, Modigliani and Miller's theories, and market imperfections affecting valuation. Learn about financial signaling, relevant rates of return, and the total-value principle.

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Understanding Capital Structure Determination in Finance

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  1. Chapter 17 Capital Structure Determination

  2. After Studying Chapter 17, you should be able to: • Define “capital structure.” • Explain the net operating income (NOI) approach to capital structure and valuation of a firm; and, calculate a firm's value using this approach. • Explain the traditional approach to capital structure and the valuation of a firm. • Discuss the relationship between financial leverage and the cost of capital as originally set forth by Modigliani and Miller (M&M) and evaluate their arguments. • Describe various market imperfections and other "real world" factors that tend to dilute M&M’s original position. • Present a number of reasonable arguments for believing that an optimal capital structure exists in theory. • Explain how financial structure changes can be used for financial signaling purposes, and give some examples.

  3. Capital Structure Determination • A Conceptual Look • The Total-Value Principle • Presence of Market Imperfections and Incentive Issues • The Effect of Taxes • Taxes and Market Imperfections Combined

  4. Capital Structure • Concerned with the effect of capital market decisions on security prices. • Assume: (1) investment and asset management decisions are held constant and (2) consider only debt-versus-equity financing. Capital Structure -- The mix (or proportion) of a firm’s permanent long-term financing represented by debt, preferred stock, and common stock equity.

  5. A Conceptual Look –Relevant Rates of Return ki = the yield on the company’s debt I B Annual interest on debt Market value of debt ki = = • Assumptions: • Interest paid each and every year • Bond life is infinite • Results in the valuation of a perpetual bond • No taxes (Note: allows us to focus on just capital structure issues.)

  6. A Conceptual Look –Relevant Rates of Return ke = the expected return on the company’s equity Earnings available to common shareholders Market value of common stock outstanding E S E S ke = = • Assumptions: • Earnings are not expected to grow • 100% dividend payout • Results in the valuation of a perpetuity • Appropriate in this case for illustrating the • theory of the firm

  7. A Conceptual Look –Relevant Rates of Return ko = an overall capitalisation rate for the firm O V Net operating income Total market value of the firm O V ko = = • Assumptions: • V = B + S = total market value of the firm • O = I + E = net operating income = interest paid plus earnings available to common shareholders

  8. Capitalisation Rate Capitalisation Rate, ko– The discount rate used to determine the present value of a stream of expected cash flows. B B + S S B + S ko ki ke = + What happens to ki, ke, and ko when leverage, B/S, increases?

  9. Net Operating Income Approach Assume: • Net operating income equals $1,350 • Market value of debt is $1,800 at 10% interest • Overall capitalisation rate is 15% = ko Net Operating Income Approach – A theory of capital structure in which the weighted average cost of capital and the total value of the firm remain constant as financial leverage is changed.

  10. Required Rate of Return on Equity Total firm value = O / ko = $1,350 / 0.15 = $9,000 Market value = V – B = $9,000 – $1,800 of equity = $7,200 Required return = E / S on equity* = ($1,350 – $180) / $7,200 = 16.25% Calculating the required rate of return on equity Interest payments = $1,800 × 10% * B / S = $1,800 / $7,200 = 0.25

  11. Required Rate of Return on Equity Total firm value = O / ko = $1,350 / 0.15 = $9,000 Market value = V – B = $9,000 – $3,000 of equity = $6,000 Required return = E / S on equity* = ($1,350 - $300) / $6,000 = 17.50% What is the rate of return on equity if B=$3,000? Interest payments = $3,000 × 10% * B / S = $3,000 / $6,000 = 0.50

  12. Required Rate of Return on Equity B / Skike ko 0.00—15.00% 15% 0.25 0.2:0.810%16.25% 15% 0.50 0.33:0.67 10%17.50% 15% 1.00 0.5:0.510%20.00% 15% 2.00 0.67:0.3310%25.00% 15% Examine a variety of different debt-to-equity ratios and the resulting required rate of return on equity. Calculated in slides 9 and 10

  13. Required Rate of Return on Equity Capital costs and the NOI approach in a graphical representation. 0.25 ke = 16.25% and 17.5% respectively 0.20 ke (Required return on equity) 0.15 ko (Capitalisation rate) Capital Costs (%) 0.10 ki (Yield on debt) 0.05 0 0 0.25 0.50 0.75 1.0 1.25 1.50 1.75 2.0 Financial Leverage (B/S)

  14. Excel & the NOI Approach NOI Approach You can create this type of analysis in Excel also. You can use some modeling experience to write formulas to calculate the required rates. Refer to “VW13E-17.xlsx” on the ‘NOI Approach’ tab

  15. Summary of NOI Approach • Critical assumption is ko remains constant. • An increase in cheaper debt funds is exactly offset by an increase in the required rate of return on equity. • As long as ki is constant, ke is a linear function of the debt-to-equity ratio. • Thus, there is no one optimal capital structure.

  16. Traditional Approach Optimal Capital Structure – The capital structure that minimises the firm’s cost of capital and thereby maximises the value of the firm. Traditional Approach – A theory of capital structure in which there exists an optimal capital structure and where management can increase the total value of the firm through the judicious use of financial leverage.

  17. Optimal Capital Structure: Traditional Approach Traditional Approach ke 0.25 ko 0.20 0.15 ki Capital Costs (%) 0.10 Optimal Capital Structure 0.05 0 Financial Leverage (B / S)

  18. Excel and the Traditional Approach Traditional Approach You can create this type of analysis in Excel also. We use some assumptions in this model built into the formulas. Refer to “VW13E-17.xlsx” on the ‘Traditional Approach’ tab

  19. Summary of the Traditional Approach • The cost of capital is dependent on the capital structure of the firm. • Initially, low-cost debt is not rising and replaces more expensive equity financing and ko declines. • Then, increasing financial leverage and theassociated increase in ke and ki more than offsetsthe benefits of lower cost debt financing. • Thus, there is one optimal capital structure where ko is at its lowest point. • This is also the point where the firm’s totalvalue will be the largest (discounting at ko).

  20. Total Value Principle: Modigliani and Miller (M&M) • Say that the relationship betweenfinancial leverage and the cost of capital is explained by the NOI approach. • Provide behavioral justification for a constantko over the entire range of financial leverage possibilities. • Total risk for all security holders of the firm isnot altered by the capital structure. • Therefore, the total value of the firm is notaltered by the firm’s financing mix.

  21. Total Value Principle: Modigliani and Miller • M&M assume an absence of taxes and market imperfections. • Investors can substitute personal for corporate financial leverage. Market value of debt ($65M) Market value of equity ($35M) Total firm market value ($100M) Market value of debt ($35M) Market value of equity ($65M) Total firm market value ($100M) • Total market value is not altered by the capital structure (the total size of the pies are the same).

  22. Arbitrage and Total Market Value of the Firm Arbitrage – Finding two assets that are essentially the same and buying the cheaper and selling the more expensive. Two firms that are alike in every respect EXCEPT capital structure MUST have the same market value. Otherwise, arbitrage is possible.

  23. Arbitrage Example • Consider two firms that are identical in every respect EXCEPT: • Company NL – no financial leverage • Company L – $30,000 of 12% debt • Market value of debt for Company L equals its par value • Required return on equity – Company NL is 15% – Company L is 16% • NOI for each firm is $10,000

  24. Arbitrage Example: Company NL Valuation of Company NL Earnings available to = E = O – I common shareholders = $10,000 - $0 = $10,000 Market value = E / keof equity = $10,000 / 0 .15 = $66,667 Total market value= $66,667 + $0 = $66,667 Overall capitalisation rate = 15% Debt-to-equity ratio = 0

  25. Arbitrage Example: Company L Valuation of Company L Earnings available to = E = O – I common shareholders = $10,000 – $3,600 = $6,400 Market value = E / keof equity = $6,400 / 0.16 = $40,000 Total market value= $40,000 + $30,000 = $70,000 Overall capitalisation rate = 14.3% Debt-to-equity ratio = 0.75

  26. Completing an Arbitrage Transaction • Assume you own 1% of the stock of Company L (equity value = $400). • You should: • 1. Sell the stock in Company L for $400. • 2. Borrow $300 at 12% interest (equals 1% of debt for Company L). • 3. Buy 1% of the stock in Company NL for $666.67. This leaves you with $33.33 for other investments ($400 + $300 - $666.67).

  27. Completing an Arbitrage Transaction Original return on investment in Company L $400 × 16% = $64 • Return on investment after the transaction • $666.67 × 16% = $100 return on Company NL • $300 × 12% = $36 interest paid • $64 net return ($100 – $36) AND $33.33 left over. • This reduces the required net investment to $366.67 to earn $64.

  28. Summary of the Arbitrage Transaction • The equity share price in Company NL rises based on increased share demand. • The equity share price in Company L falls based on selling pressures. • Arbitrage continues until total firm values are identical for companies NL and L. • Therefore, all capital structures are equally as acceptable. • The investor uses “personal” rather than corporate financial leverage.

  29. Market Imperfections and Incentive Issues • Agency costs (Slide 31) • Debt and the incentive to manage efficiently • Institutional restrictions • Transaction costs • Bankruptcy costs (Slide 30)

  30. Required Rate of Return on Equity with Bankruptcy ke with bankruptcy costs Premium for financial risk ke with no leverage Required Rate of Return on Equity (ke) ke without bankruptcy costs Premium for business risk Rf Risk-free rate Financial Leverage (B / S)

  31. Agency Costs • Monitoring includes bonding of agents, auditing financial statements, and explicitly restricting management decisions or actions. • Costs are borne by shareholders (Jensen & Meckling). • Monitoring costs, like bankruptcy costs, tend to rise at an increasing rate with financial leverage. Agency Costs -- Costs associated with monitoring management to ensure that it behaves in ways consistent with the firm’s contractual agreements with creditors and shareholders.

  32. Example of the Effects of Corporate Taxes Consider two identical firms EXCEPT: • Company ND – no debt, 16% required return • Company D – $5,000 of 12% debt • Corporate tax rate is 40% for each company • NOI for each firm is $10,000 Careful use of financial leverage (i.e., debt) provides a favorable impact on a company’s total valuation.

  33. Corporate Tax Example: Company ND Valuation of Company ND (Note: has no debt) Earnings available to = E = O – I common shareholders = $2,000 – $0 = $2,000 Tax Rate (T) = 40% Income available to= EACS (1 – T) common shareholders = $2,000 (1 – 0.4) = $1,200 Total income available to = EAT+ I all security holders = $1,200 + 0 = $1,200

  34. Corporate Tax Example: Company D Valuation of Company D(Note: has some debt) Earnings available to = E = O – I common shareholders = $2,000 – $600 = $1,400 Tax Rate (T) = 40% Income available to= EACS (1 – T) common shareholders = $1,400 (1 – 0.4) = $840 Total income available to = EAT+ I all security holders = $840 + $600 = $1,440* * $240 annual tax-shield benefit of debt (i.e., $1,440 - $1,200)

  35. Tax-Shield Benefits Tax Shield – A tax-deductible expense. The expense protects (shields) an equivalent dollar amount of revenue from being taxed by reducing taxable income. Present value of tax-shield benefits of debt* (r) (B) (tc) = (B) (tc) = r = ($5,000) (0.4) = $2,000** r = interest rate on debt, B = market value of debt, tc = Coy tax rate * Permanent debt, so treated as a perpetuity ** Alternatively, $240 annual tax shield / 0.12 = $2,000, where $240=$600 Interest expense × 0.40 tax rate.

  36. Value of the Levered Firm Value of unlevered firm = $1,200 / 0.16 (Company ND) = $7,500* Value of levered firm = $7,500 + $2,000(Company D) = $9,500 Value ofValue ofPresent value of levered = firm if + tax-shield benefits firmunleveredof debt * Assuming zero growth and 100% dividend payout

  37. Summary of Corporate Tax Effects • The greater the financial leverage, the lower the cost of capital of the firm. • The adjusted M&M proposition suggests an optimal strategy is to take on the maximum amount of financial leverage. • This implies a capital structure of almost 100% debt! Yet, this is notconsistent with actual behavior. • The greater the amount of debt, the greater the tax-shield benefits and the greater the value of the firm.

  38. Other Tax Issues • Corporate plus personal taxes Personal taxes reduce the corporate tax advantage associated with debt. Only a small portion of the explanation why corporate debt usage is not near 100%. • Uncertainty of tax-shield benefits • Uncertainty increases the possibility of bankruptcy and liquidation, which reduces the value of the tax shield.

  39. Bankruptcy Costs, Agency Costs, and Taxes As financial leverage increases, tax-shield benefits increase as do bankruptcy and agency costs. Value of levered firm = Value offirm ifunlevered + Present value of tax-shield benefits of debt - Present value ofbankruptcy and agency costs

  40. Bankruptcy Costs, Agency Costs, and Taxes Taxes, bankruptcy, and agency costs combined Minimum Cost of Capital Point Cost of Capital (%) Net tax effect Optimal Financial Leverage Financial Leverage (B/S)

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