Question

Suppose that the yield corresponding to 1y, 1.5y, 2y and 2.5y are 4%, 4.5%, 4.75% and 5% respectively. Consider a swaption which gives the holder a right to pay 5% in 18 month swap starting in 1 year's time. The volatility of swap rate is 20%. Payments are made semi-annually and principal is £100. Find the price of the swaption in terms of cumulative normal distribution function.

Name: Suppose that the yield corresponding to 1y, 1.5y, 2y and 2.5y are 4%, 4.5%, 4.75% and 5% respectively. Consider a swaption which gives the holder a right to pay 5% in 18 month swap starting in 1 year's time. The volatility of swap rate is 20%. Payments are made semi-annually and principal is £100. Find the price of the swaption in terms of cumulative normal distribution function.
Uploaded: 2023-08-30T17:09:37-08:00
Duration: 2 min 25 s
Channel: Roee Shalom
Description: Suppose that the yield corresponding to 1y, 1.5y, 2y and 2.5y are 4%, 4.5%, 4.75% and 5% respectively. Consider a swaption which gives the holder a right to pay 5% in 18 month swap starting in 1 year's time. The volatility of swap rate is 20%. Payments are made semi-annually and principal is £100. Find the price of the swaption in terms of cumulative normal distribution function.

          Suppose that the yield corresponding to 1y, 1.5y, 2y and 2.5y are 4%, 4.5%, 4.75% and 5% respectively. Consider a swaption which gives the holder a right to pay 5% in 18 month swap starting in 1 year's time. The volatility of swap rate is 20%. Payments are made semi-annually and principal is £100. Find the price of the swaption in terms of cumulative normal distribution function.

Suppose that the yield corresponding to 1y, 1.5y, 2y and 2.5y are 4%, 4.5%, 4.75% and 5% respectively. Consider a swaption which gives the holder a right to pay 5% in 18 month swap starting in 1 year's time. The volatility of swap rate is 20%. Payments are made semi-annually and principal is £100. Find the price of the swaption in terms of cumulative normal distribution function.

Added by Sara S.

Horngren’s Cost Accounting

Srikant M. Datar, Madhav V. Rajan 16th Edition

Instant Answer

Solved by Expert Roee Shalom

08/30/2023

Step 1

To calculate the present value of the fixed leg, we need to discount the fixed payments at the corresponding yields. The fixed payments are made semi-annually, so we need to divide the yields by 2. The fixed payments for the swap are 5% of the notional amount, Show more…

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Question regarding swaptions Suppose that the yield corresponding to 1y 1.5y 2y and 2.5y are 4% 4.5%.4.75% and 5% respectively. Consider a swaption which gives the holder a right to pay 5% in 18 month swap starting in 1 year's time The volatilty of swap rate is 20%.Payments are made semi-annually and principal is f100. Find the price of the swaption in terms of cumulative normal distribution function