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# Anıl Sural - WACC Calculation

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• 4% semiannually and 8% annually are the coupon rates. The firm can raise money now at the current market rates. Current market rates are 3% semiannually and 6% annually because the bond is selling above par. In other words, interest rates must have fallen since the firm issued the bond. It is able to borrow now at lower rates (i.e., the cost off debt capital is now lower for the firm than what it was previously when the bond was issued).
• R ps ( rate of return) F Floatation cost
• ### Anıl Sural - WACC Calculation

1. 1. WACCCalculation
2. 2. WACC calculation  You have been just hired as a financial consultant by Harry Davis Industries. Your assignment is to estimate the firms cost of capital. The CFO assembled the following information for you:1. The firms marginal tax rate is 40 percent.2. The firm has outstanding an issue of 8 percent, semiannual coupon, \$1,000 par value bonds with 10 years remaining to maturity. They sell at a price of \$1,148.77. New bonds will be privately placed with no flotation cost.3. The current price of the firms perpetual preferred stock (8 percent, \$100 par value) is \$114.29. New perpetual preferred stock could be sold to the public at this price, but Davis would incur flotation costs of 5%.4. The firms common stock is currently selling at \$50 per share. Its last dividend was \$3, and investors expect the dividend to grow at a constant 4 percent annual rate into the foreseeable future. The firms beta is 1; the current yield on T-bonds is 5 percent; and the market risk premium is estimated at 6 percent. When using the firms own bond-yield-plus-risk-premium approach, the managers assume a risk premium of 4 percentage points.5. The firms target capital structure is 40 percent long-term debt, 10 percent preferred stock, and 50 percent common equity.
3. 3. PARTS OF THE QUESTIONA. Calculate the firms component costs of debt.B. Calculate the firms cost of preferred stock.C. Assume that the firm is using only retained earnings as equity capital. Calculate the firm’s cost of retained earnings with the following three methods:  Calculate the firms estimated cost of retained earnings based on the CAPM approach. Calculate the estimate of the firms cost of retained earnings based on the DCF approach. Calculate the firms cost of retained earnings based on the bond-yield- plus-risk premium approach.D. Calculate the firms weighted average cost of capital (WACC).E. Assume that the firm used up all of its retaining earnings and it has to start issuing common stock with a flotation cost of 20 percent. What will its cost of common equity be?
4. 4. LET’S SEE WHAT WE HAVE ALREADY 1. -Marginal tax rate is 40% -Outstanding is 8% -Semiannual coupon -Par value of bonds \$1,000 -Maturity is 10 years -Selling price is \$1,148.77 -No flotation cost. 2. -Perpetual preferred stock is \$114.29  -Par value of bonds \$100  -Outstanding is 8% -Stock could be sold
5. 5. 3. -Common stock selling price is \$50 per share  -Dividend is \$3 -Expect the dividend to grow at a constant 4 percent annual rate into the foreseeable future.  -Beta is 1  -T-bonds is 5%  -RPm is 6%  * own bond-yield-plus-risk-premium approach, assume a risk premium of 4 percentage points. 4. -capital structure is; 40% long-term debt, - Wd 10% preferred stock, - Wps 50% common equity. - Ws
6. 6. NOW LET’S SEE THE QUESTIONSAGAINA. Calculate the firms component costs of debt.B. Calculate the firms cost of preferred stock.C. Assume that the firm is using only retained earnings as equity capital. Calculate the firm’s cost of retained earnings with the following three methods:  Calculate the firms estimated cost of retained earnings based on the CAPM approach. Calculate the estimate of the firms cost of retained earnings based on the DCF approach. Calculate the firms cost of retained earnings based on the bond-yield- plus-risk premium approach.D. Calculate the firms weighted average cost of capital (WACC).E. Assume that the firm used up all of its retaining earnings and it has to start issuing common stock with a flotation cost of 20 percent. What will its cost of common equity be?
7. 7. *Capital ComponentsCapital components are sources of funding that come from investors.Accounts payable, accruals, and deferred taxes are not sources of funding that come from investors, so they are not included in the calculation of the cost of capital.
8. 8. *Before-Tax vs.After-Tax Capital CostsFirms should incorporate the tax effects in the cost of capital. They should focus on the after-tax costs.Only the cost of debt is affected because interest is a tax-deductable expense.
9. 9. A. Calculate the firms component costs of debt. Since the bond is selling above par, the cost of debt is less than the coupon interest rate. The cost of debt is the discount rate that makes the bonds future cash flows (i.e., coupon interest and par value payments) equal to the market price of the bond. It is 3% semiannually and 6% annually. Therefore after tax cost of capital is: Rd AT = rd BT(1 – T)0.036= 0.06(1-0.40)
10. 10. B. Calculate the firms cost of preferred stockCost of preferred stock: Pps = \$114.29, Div=8%, Par =\$100, F = 5%formula: Dps 0.08 (\$100)Rps= = Pps (1 – F) \$114.29 (1 – 0.05) \$8 = = 0.074 = 7.4% \$108.57 10
11. 11. *Cost of Preferred StockFlotation costs for preferred stock are significant, so are reflected. Use net price.Preferred dividends are not tax deductible, so no tax adjustment.
12. 12. Three ways to determine the cost of retained earnings1. CAPM: rs = rRF + (rM – rRF) b = rRF + (RPM) b2. DCF: rs = D1/P0 + g3. Own-Bond-Yield + JudgmentalRisk Premium: rs = rd + JRP 12
13. 13. *What are the two ways thatcompanies can raise commonequity?•By retaining earnings that are not paidout as dividends.•By issuing new shares of commonstock.
14. 14. *Cost for Retained EarningsOpportunity cost: The return stockholders could earn on alternative investments of equal risk.They could buy similar stocks and earn rs, or company could repurchase its own stock and earn rs. So, rs, is the cost of reinvested earnings and it is the cost of common equity.
15. 15. C. Assume that the firm is using only retained earnings as equitycapital. Calculate the firms estimated cost of retained earningsbased on the CAPM approach. Rs = Rrf + (RPm)b  Rs = 4% + 6%.1 = 10%
16. 16. C. Calculate the estimate of the firms cost of retainedearnings based on the DCF approach. • Rs = [D0 * (1+g)] / P0 + g • Rs = 3 * (1.04) / 50 + 0.04 = 0.1024
17. 17. C. Calculate the firms cost of retained earningsbased on the bond-yield-plus-risk premiumapproach. the own bond yield is 6%. The risk premium is given as 4%. Therefore, the cost of retained earnings with the third method is: 6%+4%=10%
18. 18. *Comparing and Awerage of theThree MethodsIn practice, most firms use the CAPM to estimate the cost of equity capital.Many firms use the DCF method.Some firms estimate the cost of equity capital by adding a risk premium to their bond interest rate.Brigham and Ehrhardt suggest that the average of the three methods can be used in estimating the cost of equity capital.
19. 19. What’s a reasonable final estimateof rs? Method Estimate CAPM 10.24% DCF 10% rd + JRP 10% Average 10.08%
20. 20. Awerage of the three methods;The cost of equity capital with the retained earnings is the average of the three methods: 10.24%+10%+10%=10.08%
21. 21. *Determining the Weights for theWACCThe weights are the percentages of the firm that will be financed by each component.Ifpossible, always use the target weights for the percentages of the firm that will be financed with the various types of capital.
22. 22. *Estimating Weights for the Capital StructureIfyou don’t know the targets, it is better to estimate the weights using current market values than current book values.Ifyou don’t know the market value of debt, then it is usually reasonable to use the book values of debt, especially if the debt is short-term.
23. 23. *What factors influence a company’s WACC?Uncontrollable factors: ◦ Market conditions, especially interest rates. ◦ The market risk premium. ◦ Tax rates.Controllable factors: ◦ Capital structure policy. ◦ Dividend policy. ◦ Investment policy. Firms with riskier projects generally have a higher cost of equity.
24. 24. D.Calculate the firms weighted averagecost of capital (WACC). WACC = wd rd (1 – T) + wps rps + ws rs = 0.4 (0.036) + 0.1 (0.074)+ 0.5 (0.108) = 0.0758 ≈ 7.58% 24
25. 25. *Is the firm’s WACC correct for each of its divisions?No! The composite WACC reflects the risk of an average project undertaken by the firm.Different divisions may have different risks. The division’s WACC should be adjusted to reflect the division’s risk and capital structure.
26. 26. E.Assume that the firm used up all of its retaining earnings and ithas to start issuing common stock with a flotation cost of 20percent. What will its cost of common equity be?Re = [ D0 * (1+ g) ] / [P0 * (1-F) ] + g Re = [3 * ( 1+0.04) ] / [ 50 * ( 1- 0.2)] + 0.04 = 0.118