A stock has an expected return of 11 percent, its beta is 1.20, and the risk-free rate is 4.4 percent. What must the expected return on the market be

Expected market return = 9.8%

Explanation:

The expected return on the market can be worked out using the Capital Asset Pricing Model.

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 (treasury bill rate)- 4.4%

β= Beta - 1.20

Rm= Return on market.- ?

Applying this model, we have

11%= 4.4%+ (R-4.4%)×1.20

0.11-0.044= 1.20×(R-0.04)

0.07 = 1.20R-0.048

Collect like terms

0.07+0.048 = 1.2R

Divide both sides by 1.20

R= (0.07+0.048)/1.20

R=9.83%

Expected market return = 9.8%

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