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The following information has been given regarding the spot rates and the forward rates. Construct a binomial tree interest rate based upon the given data

The following information has been given regarding the spot rates and the forward rates. Construct a binomial tree interest rate based upon the given data assuming the volatility is 30%. Following spot rates are given along with partial interest rate tree as follows:

Year

Spot Rates

1

2%

2

3%

3

4%

One-year forward rates with volatility 30% are given as follows:

t=0

t=1

t=2

2%

5%

B

A

C

D

Also, after constructing the binomial tree, find the value for $100 par value, 3-year, 3% annual pay bond.

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