CapeTools Derivative Matrix




Welcome | Documentation format | QuantTools Groups | QuantTools Categories | Licence

Key TAGs | Excel Index | API Index


http://www.QuantTools.com

In total there are 42 functions present within the CapeTools Derivative Matrix category of functions.


General Description


Functions that price vanilla and Exotic options using variations of the black-scholes model. These functions do not create objects ***BUT*** generate all the second order (including cross) derivatives and displays the results within a matrix.

The risk values computed are the mathematical definition of a derivative (via differentiation). Thus if you wish to compute the risk numbers for a given shift (ie - a one basis point change in the parameter), then you simply multiply the risk number by the requested shift. Thus for gamma risk (second derivative of the underlying price, for a one unit change of the underlying we multiply by (1^2 = 1). For a one basis point change in the underlying we multiply the results by (0.0001^2).

All of the functions implemented here have been taken from : 'The Complete Guide To OPTION PRICING FORMULAS' by Espen Gaarder Haug. This book provides an in-depth analysis of every function described here. We have just implemented these functions in C++ and extended their functionality to include risk-numbers.




Function list.

Copyright (c) 2003-2007 CapeTools - All Rights Reserved.