INVESTMENTS (LOOSELEAF) W/CONNECT
INVESTMENTS (LOOSELEAF) W/CONNECT
11th Edition
ISBN: 9781260465945
Author: Bodie
Publisher: MCG
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Chapter 16, Problem 14PS
Summary Introduction

(A)

Adequate information:

The portfolio that is required to be managed is worth $1 million. The target duration stands to be 10 years. The manager has a choice of two bonds, perpetuity and 5 year maturity zero coupon bond.

To determine:

What proportion of the portfolio must be allocated towards the perpetuities and zero coupon bonds

Introduction:

Zero coupon bonds refer to the debt security that does not pay any interest payment and sold at a discount to the bondholder. It is the bond which does not make any periodic interest payment or coupon payment during its life rather it is sold at a price less than its face value. These bonds are redeemed at its face value and the difference is the profit earned by the bondholder.

Summary Introduction

(B)

To determine:

What proportion of the portfolio must be allocated towards the perpetuities and zero coupon bonds if target duration now account for 9 years

Introduction:

Zero coupon bonds refer to the debt security that does not pay any interest payment and sold at a discount to the bondholder. It is the bond which does not make any periodic interest payment or coupon payment during its life rather it is sold at a price less than its face value. These bonds are redeemed at its face value and the difference is the profit earned by the bondholder.

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You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currently yielding 5%.a. How much of (i) the zero-coupon bond and (ii) the perpetuity will you hold in your portfolio?b. How will these fractions change next year if target duration is now nine years?
You are managing a portfolio of £20 million. Your target duration is 6 years, and you can choose from two bonds: a zero-coupon bond with 3 years of maturity and a perpetuity, each currently yielding 5%. Next year, the target duration is 5 years. What is the portfolio weight invested in the perpetuity?
You are managing a portfolio of $1.0 million. Your target duration is 16 years, and you can choose from two bonds: a zero-coupon bond with maturity five years and a perpetuity, each currently yielding 5%. Required: a. How much of (i) the zero-coupon bond and (ii) the perpetuity will you hold in your portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. How will these fractions change next year if target duration is now fifteen years? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
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