# Rate of Return on a Stock

As an equity analyst you are concerned with what will happen to the required return to Universal Toddler Industries's stock as market conditions change. Suppose rRF = 5%, rM = 12%, and bUTI = 1.4.

(a) Under current conditions, what is rUTI, the required rate of return on UTI stock?

(b) Now suppose rRF (1) increases to 6% or (2) decreases to 4%. The slope of the SML remains constant. How would this affect rM and rUTI?

(c) Now suppose rRF remains at 5% but rM (1) increaes to 14% or (2) falls to 11%. The slope of the SML does not remain constant. How would these changes affect rUTI?

Answer is:

a. ri = 14.8%

b. (1) rM = 13%; ri = 15.8%

(2) rM = 11%; ri = 13.8%

c (1) ri = 17.6%

(2) ri = 13.4%

I need to be able to show I came up with these answers.

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#### Solution Preview

(a)

rUTI = rRF + bUTI*(rM - rRF)

=> rUTI = 5% + 1.4*(12%-5%)

=> rUTI = 14.8%

(b)

If rRF increases to 6%

rM ...

#### Solution Summary

The solution provides step by step solution to the question being asked. Standard formula is used to determine the answer and steps are shown clearly and concisely.