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5. a) You tell Earn that the best choice for him is a corporate bond with par value of $1000, annual coupons of 4.0% and

5.

a) You tell Earn that the best choice for him is a corporate bond with par value of $1000, annual coupons of 4.0% and four years to maturity. From the yield curve, you determine the following spot rates are appropriate for cash flows of this level of risk.

Time (Years)

1

2

3

4

Rate (%)

2.00

3.00

3.25

3.50

How much should Earn pay for the bond?

This seems like a reasonable price to Earn, but he wants to know what kind of return he can expect. You tell him that depends on how long he holds the bond.

b) What is the yield to maturity?

c) Find the price of bonds GE, CL, and MS. Assume these bonds pay annual coupons.

Corporate Debt

Investment-grade

Issuer

Symbol

Annual Coupon

Maturity

Fitch Rating

YTM

Callable

General Electric

GE

0.000%

Sep 19 2020

A

2.000%

No

Colgate-Palmolive

CL

0.000%

Sep 19 2026

A

2.000%

No

Morgan Stanley

MS

6.000%

Sep 19 2020

A

2.000%

No

d) Earns phone buzzes. He checks it thinking it might be Van letting him know he can crash at her place tonight, but actually its a news alert that interest rates just went up. Now the YTM of all three bonds is 6.000%. Find the price of each bond now.

e) For each bond, state the dollar change in price when yields increased.

f) For each bond, state the percentage change in price (relative to the initial price in part c) when yields increased.

g) Looking at the percentage change for bonds GE and CL, what can you conclude (in 10 words or less!!!) about time to maturity and how sensitive the change in bond price is to changes in interest rates?

Ill get you started:

Bond prices are more sensitive to changes in interest rates when

h) Looking at the percentage change for bond GE and MS, what can you conclude (in 10 words or less!!!) about coupon rate and how sensitive the change in bond price is to changes in interest rates?

Bond prices are more sensitive to changes in interest rates when

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