Jamie Peters invested $127,000 to set up the following portfolio one year ago: Asset Cost Beta at purchase Yearly income Value today A $38,000 0.72 $1,000 $38,000 B $40,000 0.98 $1,600 $41,000 C $39,000 1.48 $0 $45,500 D $10,000 1.29 $450 $10,500 a. Calculate the portfolio beta on the basis of the original cost figures. b. Calculate the percentage return of each asset in the portfolio for the year. c. Calculate the percentage return of the portfolio on the basis of original cost, using income and gains during the year. d. At the time Jamie made his investments, investors were estimating that the market return for the coming year would be 10%. The estimate of the risk-free rate of return averaged 5% for the coming year. Calculate an expected rate of return for each stock on the basis of its beta and the expectations of market and risk-free returns. e. On the basis of the actual results, explain how each stock in the portfolio performed differently relative to those CAPM-generated expectations of performance. What factors could explain these differences?
Jamie Peters invested $127,000 to set up the following portfolio one year ago: Asset Cost Beta at purchase Yearly income Value today A $38,000 0.72 $1,000 $38,000 B $40,000 0.98 $1,600 $41,000 C $39,000 1.48 $0 $45,500 D $10,000 1.29 $450 $10,500 a. Calculate the portfolio beta on the basis of the original cost figures. b. Calculate the percentage return of each asset in the portfolio for the year. c. Calculate the percentage return of the portfolio on the basis of original cost, using income and gains during the year. d. At the time Jamie made his investments, investors were estimating that the market return for the coming year would be 10%. The estimate of the risk-free rate of return averaged 5% for the coming year. Calculate an expected rate of return for each stock on the basis of its beta and the expectations of market and risk-free returns. e. On the basis of the actual results, explain how each stock in the portfolio performed differently relative to those CAPM-generated expectations of performance. What factors could explain these differences?
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
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Question
Jamie Peters invested $127,000 to set up the following portfolio one year ago:
|
Asset
|
Cost
|
Beta at purchase
|
Yearly income
|
Value today
|
|
|
A
|
$38,000
|
0.72
|
$1,000
|
|
$38,000
|
|
B
|
$40,000
|
0.98
|
$1,600
|
|
$41,000
|
|
C
|
$39,000
|
1.48
|
$0
|
|
$45,500
|
|
D
|
$10,000
|
1.29
|
$450
|
|
$10,500
|
a. Calculate the portfolio beta on the basis of the original cost figures.
b. Calculate the percentage return of each asset in the portfolio for the year.
c. Calculate the percentage return of the portfolio on the basis of original cost, using income and gains during the year.
d. At the time Jamie made his investments, investors were estimating that the market return for the coming year would be 10%. The estimate of the risk-free rate of return averaged 5% for the coming year. Calculate an expected rate of return for each stock on the basis of its beta and the expectations of market and risk-free returns.
e. On the basis of the actual results, explain how each stock in the portfolio performed differently relative to those CAPM -generated expectations of performance. What factors could explain these differences?
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