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.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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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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