fin 221 - wacc tutorial

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Fin 221 Nov 06 Discussion Chapter 10 1

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How to caclculate Weighted Average Cost of Capital

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Fin 221 Jan. 17 Discussion

Fin 221 Nov 06 DiscussionChapter 101The Cost of Capital2What sources of capital do firms use?10-3WACC is a weighted average of the component costs of debt, preferred stock and common equity.

WACC = wdrd(1 T) + wprp + wcrs

The ws refer to the firms capital structure weights.The rs refer to the cost of each component.3A 15-year, 12% semiannual coupon bond sells for $1,153.72. What is the cost of debt (rd) if tax rate is 40%?Remember, the bond pays a semiannual coupon, so rd = 5.0% x 2 = 10%.Interest is tax deductible, so Cost of Debt = 10%(1 40%) = 6%

10-4INPUTSOUTPUTNI/YRPMTPVFV305-1153.726010004Component Cost of Preferred Stock WACC = wdrd(1 T) + wprp + wcrs rp is the marginal cost of preferred stock, which is the return investors require on a firms preferred stock.Preferred dividends are not tax-deductible, so no tax adjustments necessary. Just use nominal rp.Preferred stock are riskier than debt and ess risky than equity.10-55What is the cost of preferred stock?10%, $100 par value, quarterly dividend, perpetual preferred stock sells for $111.10.The cost of preferred stock can be solved by using this formula:rp= Dp/Pp= $10/$111.10= 9%10-66Why is the yield on preferred stock lower than debt?Preferred stock will often have a lower Before Tax yield than the Before Tax yield on debt.Corporations own most preferred stock, because 70% of preferred dividends are excluded from corporate taxation.The After Tax yield to an investor, and the After Tax cost to the issuer, are higher on preferred stock than on debt. Consistent with higher risk of preferred stock.10-77Component Cost of EquityWACC = wdrd(1 T) + wprp + wcrs rs is the marginal cost of common equity using retained earnings.

10-8Why is there a cost for retained earnings?Earnings could have been paid out as dividends.If earnings are retained, there is an opportunity cost rs is the return that stockholders could earn on alternative investments of equal risk8Three Ways to Determine the Cost of Common Equity, rsCAPM: rs = rRF + (rM rRF)b

DCF:rs = (D1/P0) + g

Bond-Yield-Plus-Risk-Premium: rs = rd + RP10-99Find the Cost of Common Equity Using the CAPM ApproachThe rRF = 7%, RPM = 6%, and the firms beta is 1.2.

rs= rRF + (rM rRF)b= 7.0% + (6.0%)1.2 = 14.2%10-1010Find the Cost of Common Equity Using the DCF Approach D0 = $4.19, P0 = $50, and g = 5.

D1= D0(1 + g) = $4.19(1 + 0.05) = $4.3995

rs= (D1/P0) + g = ($4.3995/$50) + 0.05= 13.8%10-1111Find rs Using the Bond-Yield-Plus-Risk-Premium Approachrd = 10% and RP = 4%.

This RP is not the same as the CAPM RPM.This method produces a ballpark estimate of rs, and can serve as a useful check.

rs = rd + RPrs = 10.0% + 4.0% = 14.0%10-1212What is a reasonable final estimate of rs?Range = 13.8%-14.2%, might use midpoint of range, 14%.10-13MethodEstimateCAPM14.2%DCF13.8rd + RP14.013Why is the cost of retained earnings cheaper than the cost of issuing new common stock?When a company issues new common stock they also have to pay flotation costs to the underwriter.Issuing new common stock may send a negative signal to the capital markets, which may depress the stock price.We will frequently ignore flotation costs when calculating the WACC.

10-1414If new common stock issue incurs a flotation cost of 15% of the proceeds, what is re?10-15

Common stock sells for $50. D0 = $4.19 and g = 5%.

15Ignoring flotation costs, what is the firms WACC?Target capital structure: 30% debt, 10% preferred, 60% common equity.

WACC = wd rd (1 T) + wp rp + wc rs = 0.3(10%)(0.6) + 0.1(9%) + 0.6(14%)= 1.8% + 0.9% + 8.4%= 11.1%

10-1616Should the company use the composite WACC as the hurdle rate for each of its projects?NO! The composite WACC reflects the risk of an average project undertaken by the firm. Therefore, the WACC only represents the hurdle rate for a typical project with average risk.Different projects have different risks. The projects WACC should be adjusted to reflect the projects risk.Next slide illustrates importance of risk-adjusting cost of capital.10-1717Divisional Cost of Capital9-18