Bonds with Embedded Options EOC, Question 4

afilippi

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Hello,
This question is on page 376. Given the following information:
PAR RATES:
1-year - 2.250%
2-year - 2.750%
3-year - 3.100%
The binomial interest rate tree is already given in the example. I got most of the problem right but in Y0, they value the bond using a rate of 2.250, in the binomial interest rate tree exhibit they give us, Y0 is 2.5000%. Which one is right?
 
I thought in Year 0, spot rates = par rates = forward rates. The question mentions interest rate volatility of 10%, but I thought this only affected future rates.
 
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