Use the DerivaGem software to value 1 ×4,2 ×3,3 ×2, and 4 ×1 European swap options to receive fl

Step 1: Set up the DerivaGem software with the given parameters. - Set the interest rates for ea

Question

Use the DerivaGem software to value $1 \times 4,2 \times 3,3 \times 2$, and $4 \times 1$ European swap options to receive floating and pay fixed. Assume that the 1-, 2-, 3-, 4-, and 5-year interest rates are $3 \%, 3.5 \%, 3.8 \%, 4.0 \%$, and $4.1 \%$, respectively. The payment frequency on the swap is semiannual and the fixed rate is $4 \%$ per annum with semiannual compounding. Use the lognormal model with $a=5 \%, \sigma=15 \%$, and 50 time steps. Calculate the volatility implied by Black's model for each option.

   Use the DerivaGem software to value $1 \times 4,2 \times 3,3 \times 2$, and $4 \times 1$ European swap options to receive floating and pay fixed. Assume that the 1-, 2-, 3-, 4-, and 5-year interest rates are $3 \%, 3.5 \%, 3.8 \%, 4.0 \%$, and $4.1 \%$, respectively. The payment frequency on the swap is semiannual and the fixed rate is $4 \%$ per annum with semiannual compounding. Use the lognormal model with $a=5 \%, \sigma=15 \%$, and 50 time steps. Calculate the volatility implied by Black's model for each option.

Options, Futures, and Other Derivatives

John C. Hull 10th Edition

Chapter 32, Problem 18

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Step 1

- Set the interest rates for each year: 3%, 3.5%, 3.8%, 4.0%, and 4.1%. - Set the payment frequency to semiannual. - Set the fixed rate to 4% per annum with semiannual compounding. - Set the model to lognormal with a = 5% and σ = 15%. - Set the number of time Show more…

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Use the DerivaGem software to value $1 \times 4,2 \times 3,3 \times 2$, and $4 \times 1$ European swap options to receive floating and pay fixed. Assume that the 1-, 2-, 3-, 4-, and 5-year interest rates are $3 \%, 3.5 \%, 3.8 \%, 4.0 \%$, and $4.1 \%$, respectively. The payment frequency on the swap is semiannual and the fixed rate is $4 \%$ per annum with semiannual compounding. Use the lognormal model with $a=5 \%, \sigma=15 \%$, and 50 time steps. Calculate the volatility implied by Black's model for each option.

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