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14 March, 20:33

Situational Software Co. (SSC) is trying to establish its optimal capital structure. Its current capital structure consists of 35% debt and 65% equity; however, the CEO believes that the firm should use more debt. The risk-free rate, rRF, is 3%; the market risk premium, RPM, is 7%; and the firm's tax rate is 25%. Currently, SSC's cost of equity is 16%, which is determined by the CAPM. What would be SSC's estimated cost of equity if it changed its capital structure to 50% debt and 50% equity? Do not round intermediate calculations. Round your answer to two decimal places.

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  1. 14 March, 21:27
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    19.22%

    Explanation:

    Let the Beta be x

    Cost of equity (CAPM) = risk free rate + Beta (Market risk premium)

    16% = 3% + x (7%)

    13% = 7%x

    x = Beta = 1.86

    Debt Equity ratio

    = Debt : Equity

    =35% : 65%

    = 0.54

    Beta levered = Beta unlevered [1 + (1 - tax rate) Debt equity ratio]

    1.86 = Beta Unlevered [1 + (1 - 25%) * 0.54) ]

    Beta unlevered = 1.3238

    Calculation of Beta at new required capital structure where debt = 50% and equity = 50%

    Debt Equity ratio

    = Debt : Equity

    =50% : 50%

    = 1

    Beta levered = Beta unlevered (1 + (1 - tax rate) Debt equity ratio)

    Beta levered = 1.3238 (1 + (1 - 0.25) * 1)

    Beta levered = 2.3166

    CAPM Cost of equity = risk free rate + Beta (Market risk premium)

    Cost of equity (K e) = 3% + 2.3166 (7%)

    Cost of equity (K e) = 19.22%

    Thus, the Cost of equity in case of changed capital structure is 19.22%.
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