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Theory

Yield Curve

The yield curve is a mathematical concept in the finance. It represents the yield from the observation date to future dates.

The yield curve is a mathematical concept in the finance. It represents the yield from the observation date to future dates.

TenorDateZero Rate
1M2026-04-280.0369489
1Y2027-03-260.0363448
5Y2031-03-260.0363395
10Y2036-03-260.0363387

It is a common convention to display the curve in terms of zero rates or discount factors. But the modelling behind can use a different variable.

Interest Rate Swap

The interest rate swap is an OTC derivative exchanging one type of cash flows against other type of cash flows. These cash flows are the accrued interest rates.

Party ABank A
Party BBank B
Effective date5 May 2026
Termination date5 May 2036
Fixed rate payerParty A
Fixed rate payment dates5 Nov and 5 May each year, starting on 5 Nov 2026 and final payment is on 5 May 2036
Fixed rate payment delay2 Business days, subject to Business Day adjustment
Floating rate receiverParty B
Floating rate payment dates5 May each year, starting on 5 May 2027 and final payment is on 5 May 2036
Floating rate payment delay2 Business days, subject to Business Day adjustment
Business Day holidaysLondon, New York
Business Day adjustmentModified Following

Currency Swap

The currency swap is an OTC derivative similar to the interest rate swaps, but the exchanged cash flow are of different currencies.