There are two stocks in the market, stock A and stock B. The price of stock A today is $82. The price of stock A next year will be $73 if the economy is in a recession, $93 if the economy is normal, and $105 if the economy is expanding. The probabilities of recession, normal times, and expansion are 0.2, 0.6, and 0.2, respectively. Stock A pays no dividends and has a beta of 0.88. Stock B has an expected return of 13%, a standard deviation of 34%, a beta of 0.65, and a correlation with stock A of 0.48. The market portfolio has a standard deviation of 14%. Assume the CAPM holds. a. What are the expected return and standard deviation of stock A? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected return Standard deviation Stock A % % b. If you are a typical, risk-averse investor with a well-diversified portfolio, which stock would you prefer? Stock A Stock B c. What are the expected return and standard deviation of a portfolio consisting of 50% of stock A and 50% of stock B? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected return Standard deviation % d. What is the beta of the portfolio in (c)? (Do not round intermediate calculations. Round the final answer to 3 decimal places.) Beta of the portfolio

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 22P
icon
Related questions
icon
Concept explainers
Topic Video
Question
There are two stocks in the market, stock A and stock B. The price of stock A today is $82. The price of stock A next year will be $73 if
the economy is in a recession, $93 if the economy is normal, and $105 if the economy is expanding. The probabilities of recession,
normal times, and expansion are 0.2, 0.6, and 0.2, respectively. Stock A pays no dividends and has a beta of 0.88. Stock B has an
expected return of 13%, a standard deviation of 34%, a beta of 0.65, and a correlation with stock A of 0.48. The market portfolio has a
standard deviation of 14%. Assume the CAPM holds.
a. What are the expected return and standard deviation of stock A? (Do not round intermediate calculations. Round the final
answers to 2 decimal places.)
Expected return
Standard deviation
Stock A
%
b. If you are a typical, risk-averse investor with a well-diversified portfolio, which stock would you prefer?
Stock A
○ Stock B
c. What are the expected return and standard deviation of a portfolio consisting of 50% of stock A and 50% of stock B? (Do not round
intermediate calculations. Round the final answers to 2 decimal places.)
Expected return
Standard deviation
%
%
d. What is the beta of the portfolio in (c)? (Do not round intermediate calculations. Round the final answer to 3 decimal places.)
Beta of the portfolio
Check
Transcribed Image Text:There are two stocks in the market, stock A and stock B. The price of stock A today is $82. The price of stock A next year will be $73 if the economy is in a recession, $93 if the economy is normal, and $105 if the economy is expanding. The probabilities of recession, normal times, and expansion are 0.2, 0.6, and 0.2, respectively. Stock A pays no dividends and has a beta of 0.88. Stock B has an expected return of 13%, a standard deviation of 34%, a beta of 0.65, and a correlation with stock A of 0.48. The market portfolio has a standard deviation of 14%. Assume the CAPM holds. a. What are the expected return and standard deviation of stock A? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected return Standard deviation Stock A % b. If you are a typical, risk-averse investor with a well-diversified portfolio, which stock would you prefer? Stock A ○ Stock B c. What are the expected return and standard deviation of a portfolio consisting of 50% of stock A and 50% of stock B? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected return Standard deviation % % d. What is the beta of the portfolio in (c)? (Do not round intermediate calculations. Round the final answer to 3 decimal places.) Beta of the portfolio Check
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Stock Valuation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT
Intermediate Financial Management (MindTap Course…
Intermediate Financial Management (MindTap Course…
Finance
ISBN:
9781337395083
Author:
Eugene F. Brigham, Phillip R. Daves
Publisher:
Cengage Learning
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage