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QuestionDetails: A corporation has a target capital structure of 40% debt and 60

ID: 2770687 • Letter: Q

Question

QuestionDetails: A corporation has a target capital structure of 40% debt and 60%common equity, with no preferred stock. Its before tax costof debt is 12% and its marginal tax rate is 40%. The currentstock proce is P0 = $22.50. the last dividend was D0=$2.00and it is expected to grow at a constant rate of 7%. What isthe common equity and its WACC? QuestionDetails: QuestionDetails: A corporation has a target capital structure of 40% debt and 60%common equity, with no preferred stock. Its before tax costof debt is 12% and its marginal tax rate is 40%. The currentstock proce is P0 = $22.50. the last dividend was D0=$2.00and it is expected to grow at a constant rate of 7%. What isthe common equity and its WACC?

Explanation / Answer

Target Capital Structure:

Debt                    = 40%

Equity                =60%                    

                       ------------------------------

Total                    = 100%

                       -------------------------------

Dividend growth rate (g)       =7%

Last Dividend (D 0)              = $2.00

Current Stock Price (P0)         = $22.50

Before tax Cost of Debt (R D) = 12%%

Corporate Tax Rate (T c)        = 40%

Weighted Average Cost of Capital (WACC) =(E/V)*RE + (D/V)*RD(1-Tc)

E/V = 0.60

D/V = 0.40

Calculate the Return on Common Stock :

                       P0 = D1 / (R-g)

                       R = [ D1 / P0 ] + g

                       D1 = D0 (1+g)

                            = $2 (1+0.07)

                       D1 = $2.14

Return on Common Stock(RE) = [$2.14 / $22.50] +0.07

                                                = 0.1651

                                                = 16.51%

Return on Common Stock(RE) =16.51%

Weighted Average Cost of Capital (WACC) =(E/V)*RE + (D/V)*RD(1-Tc)

WACC = (0.60)*16.51% + (0.40)*12% (1-40%)

            = (0.60)*0.1651 + (0.40)*0.12(0.6)

            = 0.099 + 0.0288

            = 0.1278 (or) 12.78

                                 WACC=12.78%

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