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An interest rate cap is a derivative in which the buyer receives payments at the end of each period in which the interest rate exceeds the agreed strike price.An example of a cap would be an agreement to receive a payment for each month the LIBOR rate exceeds 2.5%.
The Black model (sometimes known as the Black-76 model) is a variant of the Black–Scholes option pricing model. Its primary applications are for pricing options on future contracts, bond options, interest rate cap and floors, and swaptions. It was first presented in a paper written by Fischer Black in 1976.
The LIBOR market model, also known as the BGM Model (Brace Gatarek Musiela Model, in reference to the names of some of the inventors) is a financial model of interest rates. [1] It is used for pricing interest rate derivatives, especially exotic derivatives like Bermudan swaptions, ratchet caps and floors, target redemption notes, autocaps ...
The model is used mainly for the pricing of exotic interest rate derivatives such as American and Bermudan bond options and swaptions, once its parameters have been calibrated to the current term structure of interest rates and to the prices or implied volatilities of caps, floors or European swaptions.
John Hull and Alan White, "The pricing of options on interest rate caps and floors using the Hull–White model" in Advanced Strategies in Financial Risk Management, Chapter 4, pp. 59–67. John Hull and Alan White, "One factor interest rate models and the valuation of interest rate derivative securities," Journal of Financial and Quantitative ...
A periodic rate cap: Limits how much the interest rate can change from one year to the next. A lifetime rate cap: Limits how much the interest rate can rise over the life of the loan.
Stochastic Calculus for Finance I: The Binomial Asset Pricing Model. Springer. ISBN 978-0387249681. Donald J. Smith (2017). Valuation in a World of CVA, DVA, and FVA: A Tutorial on Debt Securities and Interest Rate Derivatives. World Scientific. ISBN 978-9813222748. John van der Hoek & Robert J. Elliott (2006). Binomial Models in Finance. Springer.
On its face, a 10% interest-rate cap sounds like a good deal to a lot of consumers, especially at a moment when interest rates are so high. (Seriously, for some retail cards, APRs are in the 30s.)