1. A security has an expected rate of return of 0.11 and has a beta (B) of 1.5. The risk-free rate is 0.05 and the market expected rate of return is 0.09. Show whether this security is underpriced, fairly priced or overpriced.

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter3: Risk And Return: Part Ii
Section: Chapter Questions
Problem 2Q: Security A has an expected rate of return of 6%, a standard deviation of returns of 30%, a...
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A security has an expected rate of return of 0.11 and has a beta (B) of 1.5. The
risk-free rate is 0.05 and the market expected rate of return is 0.09. Show
whether this security is underpriced, fairly priced or overpriced.
1.
The returns on share A follow the market model with coefficients aa = 0.01, Ba =
1.25. If at time t, K MT = 0.02 and the actual return on share A is 0.025, calculate
EAt (the error term).
2.
3.
An investor invests 30 percent of his wealth in a risky asset with an expected rate
of return of 0.15 and a variance of 0.04 and 70 percent in a risk-free asset with a
return of 0.06. Calculate the portfolio's expected return.
4.
Toyota stock has the following probability distribution of expected prices one year
from now:
State Probability Price
1
25%
40%
£50
2
£60
3
35%
£70
Currently, each share is priced at £55. Toyota will pay a dividend of £4 per share
at the end of the year. What is your expected holding-period return on Toyota?
5.
According to the Capital Asset Pricing Model (CAPM), what does beta measure?
Explain briefly.
Transcribed Image Text:A security has an expected rate of return of 0.11 and has a beta (B) of 1.5. The risk-free rate is 0.05 and the market expected rate of return is 0.09. Show whether this security is underpriced, fairly priced or overpriced. 1. The returns on share A follow the market model with coefficients aa = 0.01, Ba = 1.25. If at time t, K MT = 0.02 and the actual return on share A is 0.025, calculate EAt (the error term). 2. 3. An investor invests 30 percent of his wealth in a risky asset with an expected rate of return of 0.15 and a variance of 0.04 and 70 percent in a risk-free asset with a return of 0.06. Calculate the portfolio's expected return. 4. Toyota stock has the following probability distribution of expected prices one year from now: State Probability Price 1 25% 40% £50 2 £60 3 35% £70 Currently, each share is priced at £55. Toyota will pay a dividend of £4 per share at the end of the year. What is your expected holding-period return on Toyota? 5. According to the Capital Asset Pricing Model (CAPM), what does beta measure? Explain briefly.
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