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Black Model

Calculate price for caps, floors, and swaptions using Black and Shifted Black models


capbyblkPrice caps using Black option pricing model
floorbyblkPrice floors using Black option pricing model
capvolstripStrip caplet volatilities from flat cap volatilities
floorvolstripStrip floorlet volatilities from flat floor volatilities
swaptionbyblkPrice European swaption instrument using Black model

Examples and How To

Calibrate the SABR Model

This example shows how to use two different methods to calibrate the SABR stochastic volatility model from market implied Black volatilities.

Price a Swaption Using the SABR Model

This example shows how to price a swaption using the SABR model.

Price Swaptions with Negative Strikes Using the Shifted SABR Model

This example shows how to price swaptions with negative strikes by using the Shifted SABR model.


Work with Negative Interest Rates

Financial Instruments Toolbox™ computes prices for caps, floors, swaptions when modeling for negative interest-rates.

Interest-Rate Derivatives Using Closed-Form Solutions

Closed-form solutions for pricing caps and floors using the Black model.