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Suppose the price of the 3-year zero coupon bond is $800 and the 6-year zero bond is $600 How could you lock the 3-year borrowing rate starting at the end of year 3? Transaction Time=0 Time=3 Time=6                                   What is the implied forward rate on a 3- year bond which will start at the end of year 3 According to the liquidity premium theory of the term structure

Finance Nov 20, 2020

Suppose the price of the 3-year zero coupon bond is $800 and the 6-year zero bond is $600

  1. How could you lock the 3-year borrowing rate starting at the end of year 3?

Transaction

Time=0

Time=3

Time=6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. What is the implied forward rate on a 3- year bond which will start at the end of year 3
  2. According to the liquidity premium theory of the term structure. What is the expected rate on a 3-year bond at the end of year 3?

Expert Solution

Rate of 3 year zero coupon bond is

800 = 1000/(1+r)3

r = 7.72%

Rate of 6 year Zero Coupon Bond is

600 = 1000/(1+r)6

r = 8.89%

Rate of 3 year zero coupon bond after 3 year is

(1+8.89%)6 = (1+7.72%)3 x (1+R)3

1.66697 = 1.24994 x (1+R)3

(1+R)3 = 1.33364

R = 10.07%

Forward rate on a 3- year bond which will start at the end of year 3 is 10.07%

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