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As OTC instruments, interest rate swaps (IRSs) can be customised in a number of ways and can be structured to meet the specific needs of the counterparties. For example: payment dates could be irregular, the notional of the swap could be amortized over time, reset dates (or fixing dates) of the floating rate could be irregular, mandatory break clauses may be inserted into the contract, etc.
Each forward rate is modeled by a lognormal process under its forward measure, i.e. a Black model leading to a Black formula for interest rate caps. This formula is the market standard to quote cap prices in terms of implied volatilities, hence the term "market model".
The simplest example of an NPC is a so-called interest rate swap, in which one party (Party A) pays the other party (Party B) an amount each quarter determined by multiplying a floating, market-determined interest rate (e.g., LIBOR) by the notional amount; and Party B pays Party A on the same date an amount determined by multiplying a fixed ...
In recent years, interest rate swaps have become an important component of the fixed-income market. With an interest rate swap, investors will typically exchange or swap a fixed-interest payment ...
The valuation of swaptions is complicated in that the at-the-money level is the forward swap rate, being the forward rate that would apply between the maturity of the option—time m—and the tenor of the underlying swap such that the swap, at time m, would have an "NPV" of zero; see swap valuation. Moneyness, therefore, is determined based on ...
Real rate swaps are the nominal interest swap rate less the corresponding inflation swap. As for modelling, the trend has been either to provide: a model describing at the same time, nominal rates, real rates and inflation and representing the inflation as the exchange rate between nominal and real rates.
A basis swap functions as a floating-floating interest rate swap under which the floating rate payments are referenced to different bases. [1] [2] The existence of a basis arises from demand and supply imbalances and where, for example, a basis is due for a borrower seeking dollars, this is indicative of a synthetic dollar interest rate in the ...
In 1987, ISDA produced three documents: (i) a standard form master agreement for U.S. dollar interest-rate swaps; (ii) a standard form master agreement for multi-currency interest-rate and currency swaps (collectively known as the "1987 ISDA Master Agreement"); and (iii) the interest rate and currency definitions.