A firm enters into a five-year fixed for float agreement one year ago. Because one year has passed the swap has exactly four more years remaining. Since the reset date for the next floating payment is today, the next applicable floating rate can be identified in the table below. Payments from each firm occur at the end of each year. Assume that the firm agreed to pay a fixed rate of 6.45% (based on annual compounding) and to receive the floating rate. The notional amount of the swap is $12 million. Use the following current spot term structure for annual interest rates (all based on continuous compounding) to determine the value of the plain vanilla, fixed for float interest rate swap. Term (years) Spot Zero Annual Interest Rates (based on continuous compounding) 0.5 5% 1 5.5% 1.5 6% 2 6.5% 2.5 7% 3 8% 3.5 8.5% 4 9% 4.5 9.5% 5 10%
A firm enters into a five-year fixed for float agreement one year ago. Because one year has passed the swap has exactly four more years remaining. Since the reset date for the next floating payment is today, the next applicable floating rate can be identified in the table below. Payments from each firm occur at the end of each year. Assume that the firm agreed to pay a fixed rate of 6.45% (based on annual compounding) and to receive the floating rate. The notional amount of the swap is $12 million. Use the following current spot term structure for annual interest rates (all based on continuous compounding) to determine the value of the plain vanilla, fixed for float interest rate swap. Term (years) Spot Zero Annual Interest Rates (based on continuous compounding) 0.5 5% 1 5.5% 1.5 6% 2 6.5% 2.5 7% 3 8% 3.5 8.5% 4 9% 4.5 9.5% 5 10%
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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- A firm enters into a five-year fixed for float agreement one year ago. Because one year has passed the swap has exactly four more years remaining. Since the reset date for the next floating payment is today, the next applicable floating rate can be identified in the table below. Payments from each firm occur at the end of each year. Assume that the firm agreed to pay a fixed rate of 6.45% (based on annual compounding) and to receive the floating rate. The notional amount of the swap is $12 million. Use the following current spot term structure for annual interest rates (all based on continuous compounding) to determine the value of the plain vanilla, fixed for float interest rate swap.
|
Term (years) |
Spot Zero Annual Interest Rates (based on continuous compounding) |
|
0.5 |
5% |
|
1 |
5.5% |
|
1.5 |
6% |
|
2 |
6.5% |
|
2.5 |
7% |
|
3 |
8% |
|
3.5 |
8.5% |
|
4 |
9% |
|
4.5 |
9.5% |
|
5 |
10% |
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