Question

Barges has an asset beta of 0.47, the risk-free rate is 4.3 percent, and the market risk premium is 7.7 percent. What is the
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Answer #1

Following formula is used calculate the equity beta

Assets beta=weight of debt × beta of debt + weight of equity × beta of equity

Assets beta = 0.47

Weight of debt= Debt equity ratio/ (1+ debt equity ratio)

Weight of debt =0.56 / (1+.56)= .56/1.56

Weight of debt= 0.359

Weight of equity= 1/(1+debt equity ratio)

Weight of debt= 1/(1+.56)= 1/1.56

Weight of debt= 0.641

Firm borrowed at risk free rate so beta of debt will be zero.

Using formula equity beta calculation:

0.47= 0.359× 0 + 0.641× beta of equity

0.47= 0.641× beta of equity

beta of equity= 0.47/0.641= 0.73

Beta of equity is 0.73

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