Question
Consider a semi-annual coupon bond. Its face value is $1,000, it bears a 6 percent coupon rate per year, and will mature in 2 years.
Consider a semi-annual coupon bond. Its face value is $1,000, it bears a 6 percent coupon rate per year, and will mature in 2 years. (Note: You must show all the steps on how to obtain the values or your attempt will be penalized.)
Maturity | Spot Rates | Forward Rates |
0.5 | 0.9 | f1= f(0,0.5) |
1.0 | 1.3 | f2 = f(0.5,1) |
1.5 | 1.8 | f3 = f(1,1.5) |
2.0 | 2.3 | f4 = f(1.5, 2) |
1)Calculatethe respective implied forward rates from the corresponding spot rates.
2)Calculatethe bond price using the implied forward rates using the followingequation.
3) Suppose that the CIR model generates the following binomial interest tree (forward rates) lattice. Calculate the bond price using the backward induction method.
t=1 | t=2 | t=3 | t=4 |
0.90 | 2.2 | 4.9 | 8.7 |
1.8 | 2.8 | 5.0 | |
1.6 | 2.9 | ||
1.7 |
4)Check whether the bond price from 3)is the sameas the bond price from 2).
please do it on excel
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