Given a current annual spot rate of S0 = 6%, upward and downward parameters on the spot

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Given a current annual spot rate of S0 = 6%, upward and downward parameters on the spot rate of u = 1.2, d = 1/1.2, and q = .5:

a. Determine the value of a three-year, option-free, 6% annual coupon bond with F = $100.

b. Assuming the bond is callable at a call price of 98, determine the values at each node of the embedded call option.

c. Determine the value of the callable bond.

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