Question

Excel Online Structured Activity: Hamada equation Situational Software Co. (sSC) is trying to establish its optimal capital structure. Its current capital structure consists of 25% debt and 75% 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 6%; and the firm's tax rate is 40%. Currently, SSC's cost of equity is 16%, which is determined by the CAPM. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. X Open spreadsheet What would be SSC's estimated cost of equity if it changed its capital structure to 50% debt and 50% equity? Round your answer to two decimal places. Do not round intermediate steps.

Answer 1

According to the CAPM,

Cost of Equity = Risk-free Rate + [Beta * Market Risk Premium]

16% = 3% + [Beta * 6%]

Beta * 6% = 16% - 3%

Beta = 13% / 6% = 2.17

First, we need to unlever this beta

Unlevered Beta = Levered Beta / [1 + {(1 - t) * (D/E)}]

= 2.17 / [1 + {(1 - 0.40) * (0.25/0.75)}]

= 2.17 / [1 + 0.2] = 2.17 / 1.2 = 1.81

Now, we need to find the levered beta for the new capital structure:

Levered Beta = Unlevered Beta * [1 + {(1 - t) * (D/E)}]

= 1.81 * [1 + {(1 - 0.40) * (0.50/0.50)}]

= 1.81 * [1 + 0.6] = 1.81 * 1.6 = 2.89

Cost of Equity = 3% + [2.89 * 6%] = 3% + 17.33% = 20.33%