# QuantLib_LPP3HestonExpansion man page

LPP3HestonExpansion

## Synopsis

`#include <ql/pricingengines/vanilla/hestonexpansionengine.hpp>`

Inherits **HestonExpansion**.

### Public Member Functions

**LPP3HestonExpansion** (const **Real** kappa, const **Real** theta, const **Real** sigma, const **Real** v0, const **Real** rho, const **Real** term)

virtual **Real impliedVolatility** (const **Real** strike, const **Real** forward) const

## Detailed Description

Lorig Pagliarani Pascucci expansion of order-3 for the Heston model. During calibration, it can be initialized once per expiry, and called many times with different strikes. The formula is also available in the Mathematica notebook from the authors at http://explicitsolutions.wordpress.com/

## Author

Generated automatically by Doxygen for QuantLib from the source code.

## Referenced By

LPP3HestonExpansion(3) is an alias of QuantLib_LPP3HestonExpansion(3).

Fri Feb 10 2017 Version 1.9.1 QuantLib