question archive A 4-year zero coupon bond has a face value of $100 and a price of $85

A 4-year zero coupon bond has a face value of $100 and a price of $85

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A 4-year zero coupon bond has a face value of $100 and a price of $85.480. The table below contains prices, coupons and time to maturity for 3 annual coupon paying bonds that have a face value of $100.

 

Time to Maturity (Years)

Annual Coupon

Price

1

3.0%

$99.038

2

8.5%

$108.487

3

6.5%

$106.937

Please use 3 decimal places in your working.

a) What is the price of a 3-year bond paying annual coupons of 4% and a face value of $100?

b) If you had $1million invested in the 3-year 4% coupon bond, how many of the 4-year zero-coupon bonds would you need to short-sell to hedge your interest rate risk?

 

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