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

Subject:FinancePrice: Bought3

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.
 


2a) What is the price of a 3-year bond paying annual coupons of 4% and a face value of $100? 
                                                                  
 
2b) 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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