Consider a one factor economy. (1) There are two well-diversified portfolios A and B. Their expected returns are 11% and 9% respectively. Their betas are 1.1 and 0.85, respectively. Both portfolios are fairly priced. Calculate the risk free rate and the expected return of the factor portfolio. (2) There is a third well-diversified portfolio C. Its beta is 1.2. It has a forecasted return of 13%. Is there any arbitrage opportunity? If the answer is yes, how to construct the arbitrage portfolio? (

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
Consider
a one factor economy.
(1) There are two well-diversified portfolios A and B. Their expected returns are 11% and 9% respectively. Their betas are 1.1 and 0.85, respectively. Both portfolios are fairly
priced. Calculate the risk free rate and the expected return of the factor portfolio.
(2) There is a third well-diversified portfolio C. Its beta is 1.2. It has a forecasted return of 13%. Is there any arbitrage opportunity? If the answer is yes, how to construct the
arbitrage portfolio? (
Transcribed Image Text:Consider a one factor economy. (1) There are two well-diversified portfolios A and B. Their expected returns are 11% and 9% respectively. Their betas are 1.1 and 0.85, respectively. Both portfolios are fairly priced. Calculate the risk free rate and the expected return of the factor portfolio. (2) There is a third well-diversified portfolio C. Its beta is 1.2. It has a forecasted return of 13%. Is there any arbitrage opportunity? If the answer is yes, how to construct the arbitrage portfolio? (
Expert Solution
Step 1 Given

(Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question specifying the one you’d like answered.)

As per the given information:

Expected return of A E(RA) = 11%Expected return of B E(RB) = 9%Beta of A (βA) = 1.1Beta of B (βB) = 0.85

To calculate:

  • The risk-free rate and the expected return of the factor portfolio.
steps

Step by step

Solved in 3 steps

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.
Similar questions
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