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MCQ Questions What is the required rate of return for a stock with a beta of 1.2

ID: 2645027 • Letter: M

Question

MCQ Questions

What is the required rate of return for a stock with a beta of 1.2, when the risk-free rate is 6% and the expected market return is 12%? What is the required rate of return for a stock with a beta of .70: when the risk-free rate is 7% and the market is offering 14%? The risk- free rate is 6% and the expected market return is 15%. An investor sees a stock with a beta of 1.20 selling for $25. The investor thinks that the stock will sell for $31 at year end. The stock is so the investor should:

Explanation / Answer

1) Beta = 1.2

Risk free rate = 6%

MArket Return = 12%

Required Rate of Return for a stock = Beta of Stock x(MArket return - Risk free rate of return) + Risk free rate of return

Required Rate of Return = 1.2x(12%-6%) +6%

Required RAte of return = 1.2x(.06)+.06 = 0. 132 or 13.2%

2) Beta = .70

Risk free rate = 7%

Market rate of return = 14%

Required Rate of Return for a stock = Beta of Stock x(MArket return - Risk free rate of return) + Risk free rate of return

Required Rate of Return = .70x(14%-7%)+7%

Required Rate of Return = 0.70x(.07)+.07 = 0.119 or 11.9%

3) The Stock is Overpriced , Short it.

4) Beta of Stock = Expected Return on stock - Risk free rate / MArket rate of Return - Risk Free rate

Beta of Stock = (17.40% - 7%) / (15%-7%)

Beta of Stock = 10.40%/8% = 1.30

5) Stock Beta = Covariance of MArket return with stock Return/ Variance of Market Return

Stock Beta = 0.005/(.05)^2

Stock beta = 0.005/0.0025 = 2