In a market where spot rates apply, the two-year forward rate of interest at time t = 1 is 6% per annum effective. The issue price per £100 nominal of a two-year fixed interest bond that pays annual coupons of 4% in arrears and is redeemed at 105% is £95.5. At the same time, the issue price per £100 nominal of a three-year fixed interest bond that pays 6% in arrears and is redeemed at par is £98.5. (i) Calculate all possible annual spot-rates. (ii) Calculate the three-year par yield.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Using formulas, no tables

correct answers: 

i) i1= 7.3746% pa

   i2= 8.981% pa 

   i3= 6.4562% pa

ii) i(c3)= 6.5764% pa

In a market where spot rates apply, the two-year forward rate of interest at time t = 1 is 6%
per annum effective.
The issue price per £100 nominal of a two-year fixed interest bond that pays annual coupons
of 4% in arrears and is redeemed at 105% is £95.5.
At the same time, the issue price per £100 nominal of a three-year fixed interest bond that
pays 6% in arrears and is redeemed at par is £98.5.
(i)
Calculate all possible annual spot-rates.
(ii) Calculate the three-year par yield.
Transcribed Image Text:In a market where spot rates apply, the two-year forward rate of interest at time t = 1 is 6% per annum effective. The issue price per £100 nominal of a two-year fixed interest bond that pays annual coupons of 4% in arrears and is redeemed at 105% is £95.5. At the same time, the issue price per £100 nominal of a three-year fixed interest bond that pays 6% in arrears and is redeemed at par is £98.5. (i) Calculate all possible annual spot-rates. (ii) Calculate the three-year par yield.
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