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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