Required: a. If CM 12%, calculate the variance of returns of securities A, B, and C b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C

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
icon
Related questions
Question
None
Assume that security returns are generated by the
single - index model, R₁ = α + BR +e, Where R, is
i
i
i M
the excess return for security i and R
M
i
i
is the market's
excess return. The risk - free rate is 3%. Suppose also
that there are three securities A, B, and C, characterized
by the following data: \table[[Security, B., E(R), σ(e)
Assume that security returns are generated by the single-index model,
R₁ = ai +BiRM ei
where R is the excess return for security / and Ry is the market's excess return. The risk-free rate is 3%. Suppose also that there are
three securities A, B, and C, characterized by the following data:
Security Bi
E(R)
o(es)
A
0.9
8%
17%
B
1.3
12
B
C
1.7
16
11
Required:
a. If CM 12%, calculate the variance of returns of securities A, B, and C
b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively.
What will be the mean and variance of excess returns for securities A, B, and C?
Complete this
Transcribed Image Text:Assume that security returns are generated by the single - index model, R₁ = α + BR +e, Where R, is i i i M the excess return for security i and R M i i is the market's excess return. The risk - free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data: \table[[Security, B., E(R), σ(e) Assume that security returns are generated by the single-index model, R₁ = ai +BiRM ei where R is the excess return for security / and Ry is the market's excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security Bi E(R) o(es) A 0.9 8% 17% B 1.3 12 B C 1.7 16 11 Required: a. If CM 12%, calculate the variance of returns of securities A, B, and C b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? Complete this
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Risk and Return
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.
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education