Suppose the three-year swap rate for a swap with annual payments is 3.2% and that OIS (risk-free) zero rates for maturities of one, two and three years are 2.5%, 2.7% and 2.9% respectively. What is the value of a three-year swap where 4% is received and TSOFR is paid on a principal of $100 million? All rates are annually compounded.
Suppose the three-year swap rate for a swap with annual payments is 3.2% and that OIS (risk-free) zero rates for maturities of one, two and three years are 2.5%, 2.7% and 2.9% respectively. What is the value of a three-year swap where 4% is received and TSOFR is paid on a principal of $100 million? All rates are annually compounded.
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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Suppose the three-year swap rate for a swap with annual payments is 3.2% and that OIS (risk-free) zero rates for maturities of one, two and three years are 2.5%, 2.7% and 2.9% respectively. What is the value of a three-year swap where 4% is received and TSOFR is paid on a principal of $100 million? All rates are annually compounded.
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Step 1: Overview
VIEWStep 2: Calculate the fixed cash flows
VIEWStep 3: Calculate the floating cash flows using OIS zero rates
VIEWStep 4: Calculate the net cash flows for each year by subtracting the floating cash flow from the fixed cash
VIEWStep 5: Calculate the present value of each net cash flow using the swap rate
VIEWStep 6: Calculate the total present value of all cash flows
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