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Cost of Equity

AB Corporation has 16% cost of equity, 35% tax rate, and debt-to-equity ratio of 30%. XY Corporation has 30% tax rate and debt-to-equity ratio of 40%. Both AB and XY are in the same business of selling automotive parts. If the riskless rate is 4% and the expected return on the market is 12%, find the cost of equity for XY.

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Emerson’s Cost of equity = 16% = 4% + BL (12% - 4%)
8% BL = 12%
BL = 1.5
Bu = BL/(1 + (1 – T)(D/E)) = 1.5/(1 + (1 – 0.35)(0.3) = 1.5/1.195 = 1.255

Hence with a D/E ratio of 40%,

BL = BU (1 + (1 – T)(D/E)) = 1.255 (1 + (1 – 0.3)(0.4)) = 1.61

Cost of equity = 4% + 1.61*(12% - 4%) = 16.85%

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