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Consider the following bonds: Bond A Bond B Bond C Par Coupon rate YTM Time to maturity $1,000 3% 3% 3years $1,000 6% 8% 4

Consider the following bonds:

Bond A

Bond B

Bond C

Par

Coupon rate

YTM

Time to maturity

$1,000

3%

3%

3years

$1,000

6%

8%

4 years

$1,000

0%

10%

10 years

a. Calculate the duration for each bond, by hand (10 points). Based on its duration, which bond has the highest level of interest rate risk? YOU MUST CALCULATE ONE BOND PRICE USING THE BOND PRICING FORMULA!

b. Calculate the duration of a portfolio containing these 3 bonds in equal weights.

c. Assume interest rates increase by one percentage point. Using the portfolio’s durationapproximately how much will this portfolio change in value?

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a To calculate the duration of each bond we can use the following formula Duration CF11r 2CF21r2 nCF... blur-text-image

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