You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago. Required: a)If your portfolio has provided you with returns of 9.7%, -6.2%, 12.1%, 11.5% and 13.3% over the past five years, respectively. Calculate the geometric average returnof the portfolio for this period? ? b)Assume that expected return of the stock A in your portfolio is 14.6%. The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7. Calculate beta of thisstock using Capital Asset Pricing Model(CAPM) ? c)Assume that you bought 200 stock B in your portfolio for total investment of $1200, now the market price of the stock is $75, the dividend paid for this stock is $2 each year. How much is the capital gain of this stock ? d)Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio?        A     B Expected return 12.5 % 18.5 % Standard deviation of return 15 % 20 % Coefficient of correlation 0.4

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

You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago.

Required:

a)If your portfolio has provided you with returns of 9.7%, -6.2%, 12.1%, 11.5% and 13.3% over the past five years, respectively.

Calculate the geometric average returnof the portfolio for this period? ?

b)Assume that expected return of the stock A in your portfolio is 14.6%. The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7.

Calculate beta of thisstock using Capital Asset Pricing Model(CAPM) ?

c)Assume that you bought 200 stock B in your portfolio for total investment of $1200, now the market price of the stock is $75, the dividend paid for this stock is $2 each year. How much is the capital gain of this stock ?

d)Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio?

       A     B
Expected return 12.5 % 18.5 %
Standard deviation of return 15 % 20 %
Coefficient of correlation 0.4  
Expert Solution
Step 1

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts for you. To get the remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

Step 2

A combination of the different types of funds and securities for the investment is term as the portfolio.

Step 3

a)

Computation of the geometric average return:

Finance homework question answer, step 3, image 1

Hence, the geometric average return is 7.82%.

steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Investment in Stocks
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
  • SEE MORE 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