8-12 REQUIRED RATE OF RETURN Suppose rRF 9%, rM 14%, and bi 1 3. a. What is ri, the required rate of return on Stock i? b. Now suppose that rRF (1) increases to 10% or (2) decreases to 8%. The slope of the SML remains constant. How would this affect rM and ri? c. Now assume that rRF remains at 9%, but rM (1) increases to 16% or (2) falls to 13%. The slope of the SML does not remain constant. How would these changes affect ri?

a = 0.74 or 74%

b(1) = 0.75 or 75%

b(2) = 0.73 or 73%

c(1) = 1 or 1%

c(2) = 0.61 or 61%

Explanation:

The stock i has a risk free rate of 9% with a market return of 14% and beta of 13, using the formula we get,

ri = rRF + bi x (rM – rRF)

Where rRF=9/100=0.09

bi =13

rm =14/100=0.14

Putting the values into the formula

= 0.09 + 13 x (0.14 – 0.09)

= 0.74 or 74%

b. (1)

Ri = rRF + bi x (rM – rRF)= 0.10 + 13 x (0.14 – 0.09)= 0.75 or 75%

Here the slope of SML remains constant, meaning the market risk premium will not change. As a result, the required return will increase by 1%.

b(2)

Ri = rRF + bi x (rM – rRF)= 0.08 + 13 X (0.14 – 0.09)= 0.73 or 73%

Here, the slope of SML remains constant, meaning the market risk premium will not change. As a result the required return will decrease by 1%.

c. (1)

Ri = rRF + bi x (rM – rRF)= 0.09 + 13 x (0.16 – 0.09)= 1 or 1%

Here, the slope of SML does not remain constant, meaning the market risk premium will change. As a result, the required return will increase.

(2)Ri = rRF + bi x (rM – rRF)= 0.09 + 13 x (0.13 – 0.09)=0.61 or 61%

Here, the slope of SML remains constant, meaning the market risk premium will not change. As a result, the required return will decrease by 13%.

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