Problem 3: The duration of a portfolio of bonds is just the weighted average of the durations of the bonds in the portfolio, where the weight on a particular bond is the fraction of the value of the portfolio that comes from that particular bond; the weight sum to 1. Consider the following information on 4 bonds: Bond 1 Duration 2 2 6 10 15 3 4 Consider the following three portfolios (the portfolios differ by the amount of current value in each bond); the data below shows the current values in each of the bonds for each of the portfolios. Portfolio A B C Current values in each bond Bond 1 $1M Bond 2 $1M Bond 3 Bond 4 $1M $1M $2M 0 0 $2M 0 $1.75M 2.25M 0 Which of these three portfolios has the most interest rate risk?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter2: Risk And Return: Part I
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Problem 3: The duration of a portfolio of bonds is just the weighted average of the durations of the
bonds in the portfolio, where the weight on a particular bond is the fraction of the value of the portfolio
that comes from that particular bond; the weight sum to 1. Consider the following information on 4
bonds:
Bond
1
Duration
2
2
6
10
15
3
4
Consider the following three portfolios (the portfolios differ by the amount of current value in each
bond); the data below shows the current values in each of the bonds for each of the portfolios.
Portfolio
A
B
C
Current values in each bond
Bond 1
$1M
Bond 2
$1M
Bond 3
Bond 4
$1M
$1M
$2M
0
0
$2M
0
$1.75M
2.25M
0
Which of these three portfolios has the most interest rate risk?
Transcribed Image Text:Problem 3: The duration of a portfolio of bonds is just the weighted average of the durations of the bonds in the portfolio, where the weight on a particular bond is the fraction of the value of the portfolio that comes from that particular bond; the weight sum to 1. Consider the following information on 4 bonds: Bond 1 Duration 2 2 6 10 15 3 4 Consider the following three portfolios (the portfolios differ by the amount of current value in each bond); the data below shows the current values in each of the bonds for each of the portfolios. Portfolio A B C Current values in each bond Bond 1 $1M Bond 2 $1M Bond 3 Bond 4 $1M $1M $2M 0 0 $2M 0 $1.75M 2.25M 0 Which of these three portfolios has the most interest rate risk?
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