View the step-by-step solution to: a. Your portfolio is invested 30 percent each in

a. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio? b. What is the variance of this portfolio? The standard deviation?
Homework 3.pdf

FIN 357 Business Finance

Homework 3
Due Mon, August 1, 2011 by the beginning of the class

This assignment is to be completed individually .You may use calculators or Excel to make your life
easier; however, what you hand in must make it clear that you understand how to complete the problem.
In other words, show your work, not just an answer.
Chapter 12
Questions and Problems: 1, 7
Chapter 13
Questions and Problems: 10,12,17,24

Chapter 12
1. Calculating returns) Suppose a stock had an initial price of $91 per share, paid a dividend of $2.40
per share during the year, and had an ending share price of $102. Compute the percentage total return.
7. Calculating returns and variability) Using the following returns, calculate the arithmetic average
returns, the variances, and the standard deviations for X and Y. (Note that these numbers are from a
historical data)
Y ea r
1
2
3
4
5

R e t u r ns
X
8%
21
17
-16
9

Y
16%
38
14
-21
26

Chapter 13.
10. Returns and Standard Deviations) Consider the following information:

S t a t e of E co n o m y
Boom
Good
Poor
Bust

P r ob a b i l i t y
.15
.45
.35
.05

S t oc k A
.30
.12
.01
-.06

R a t e of r e t u r n
S t oc k B
.45
.10
-.15
-.30

S t oc k C
.33
.15
-.05
-.09

a. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected
return of the portfolio?
b. What is the variance of this portfolio? The standard deviation?
12. Calculating Portfolio Betas) You own a portfolio equally invested in a risk-free asset and two
stocks. If one of the stocks has a beta of 1.38 and the total portfolio is equally as risky as the market,
what must the beta be for the other stock in your portfolio?
17. Using CAPM) A stock has a beta of 1.35 and an expected return of 16 percent. A risk-free asset
currently earns 4.8 percent.
a. What is the expected return on a portfolio that is equally invested in the two assets?
b. If a portfolio of the two assets has a beta of .95, what are the portfolio weights?
c. If a portfolio of the two assets has an expected return of 8 percent, what is its beta?
d. If a portfolio of the two assets has a beta of 2.70, what are the portfolio weights? How do you
interpret the weights for the two assets in this case? Explain.
24. Analyzing a Portfolio) You want to create a portfolio equally as risky as the market and you have
$1,000,000 to invest. Given this information, fill in the rest of the following table.
A ss e t
Stock A
Stock B
Stock C
Risk-free asset

I n v est m e n t
$210,000
$320,000
?
?

B et a
.85
1.20
1.35
?

Sign up to view the entire interaction

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors and customizable flashcards—available anywhere, anytime.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access or to earn money with our Marketplace.

    Browse Documents
  • 890,990,898

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
  • 890,990,898

    Flashcards

    Browse existing sets or create your own using our digital flashcard system. A simple yet effective studying tool to help you earn the grade that you want!

    Browse Flashcards