Booher Book Stores has a beta of 1.0. The yield on a 3-month T-bill is 3% and the yield on a 10-year T-bond is 6%. The market risk premium is 4.5%, and the return on an average stock in the market last year was 10.5%. What is the estimated cost of common equity using the CAPM

Cost of equity =  10.5%

Explanation:

The capital asset pricing model is a risk-based model. Here, the return on equity is dependent on the level of reaction of the the equity to changes in the return on a market portfolio. These changes are captured as systematic risk. The magnitude by which a stock is affected by systematic risk is measured by beta.

Under CAPM, Ke= Rf + β(Rm-Rf)  

Rf-risk-free rate (long-term i.e 10 year treasury bill rate), β= Beta, Rm= Return on market., Ke- Return on equity (cost of equity)

This model can be used to work out the cost of equity as follows:

Ke= Rf + β (Rm-Rf)

Rf- 6%, β= 1.0, Rm- 10.5, E(r)- ?

Ke = 6% + 1.0× (10.5 -6)% = 10.5%

Ke  = 10.5%

Cost of equity =  10.5%

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