Question

You own a stock that has an expected return of 15.72 percent and a beta of 1.33. The U.S. Treasury bill is yielding 3.82 percent and the inflation rate is 2.95 percent.
What is the expected rate of return on the market?

a) 12.07 percent

b) 12.77 percent

c) 13.64 percent

d) 14.09 percent

e) 13.42 percent

Answer 1

Answer:

option (b) 12.77 percent

Explanation:

Data provided in the question:

Expected return = 15.72% = 0.1572

Beta = 1.33

Risk free rate = 3.82% = 0.0382

Inflation rate = 2.95% = 0.0295

Now,

Expected return = Risk free rate + Beta × (Expected market return - Risk free rate)

or

0.1572 = 0.0382 + 1.33 × ( Expected market return - 0.0382 )

or

0.119 = 1.33 × ( Expected market return - 0.0382 )

or

Expected market return - 0.0382 = 0.08947

or

Expected market return = 0.12767

or

Expected market return = 0.12767 × 100% = 12.767% ≈ 12.77%

option (b) 12.77 percent