market, M: State Probability 1 234 3 4 10% 40% 40% 10% RA 12% 6% 1% -2% RM 15% 8% 4% -6%

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
Problem 1PS
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Given the following is a probability distribution for returns on a security A and a proxy for the
market, M:
State
1
2
3
4
Probability
10%
40%
40%
10%
RA
12%
6%
1%
-2%
RM
15%
8%
4%
-6%
a. Calculate the expected returns on security A and the market.
Ans: 3.80% and 5.70%
b. Calculate the variances and the standard deviations of security A and the market.
Ans: 15.16 and 3.89% for A and 25.61 and 5.06% for M
c. Calculate the coefficient of variation (CV) for security A and the market. Does A initially
seem to be more or less attractive than a market portfolio? Why? What other
consideration might affect your answer and how?
Ans: CVA 1.02; CVM-0.89
d. i) What is the probability that the actualized return on security A will be equal or
less than zero in the coming investment period?
Ans: 16.35%
ii) What is the probability of actually losing 5% or more on the market portfolio
in the coming investment period?
Ans: 1.74%
Transcribed Image Text:Given the following is a probability distribution for returns on a security A and a proxy for the market, M: State 1 2 3 4 Probability 10% 40% 40% 10% RA 12% 6% 1% -2% RM 15% 8% 4% -6% a. Calculate the expected returns on security A and the market. Ans: 3.80% and 5.70% b. Calculate the variances and the standard deviations of security A and the market. Ans: 15.16 and 3.89% for A and 25.61 and 5.06% for M c. Calculate the coefficient of variation (CV) for security A and the market. Does A initially seem to be more or less attractive than a market portfolio? Why? What other consideration might affect your answer and how? Ans: CVA 1.02; CVM-0.89 d. i) What is the probability that the actualized return on security A will be equal or less than zero in the coming investment period? Ans: 16.35% ii) What is the probability of actually losing 5% or more on the market portfolio in the coming investment period? Ans: 1.74%
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