|Pricing Partners implements Double-Heston Model for its Equity Module - Sep 09|
Pricing Partners implements Double-Heston Model for its Equity Module
Paris-London: Pricing Partners (www.pricingpartners.com), the independent valuation expert and a world leader in mathematical models and analytics for derivatives and structured products, announced today a state-of-the-art stochastic volatility model, Double-Heston Model, to be implemented for its Equity, FX and Commodity Module to enrich its Price-it Library. Based on the Heston Model generated by Steven L. Heston, Double-Heston Model is identified as an extension committed to forecasting a more flexible approach to model the stochastic variance. With this model upgrade, Pricing Partners enhances undoubtedly its strong authority on cutting edge model expertise.
Stochastic volatility models have replaced Black-Scholes model since they are able to generate a volatility smile. However, standard models fail to capture the smile slope and level movements. The Double Heston Model is able to model the asset diffusion with two independent variance and processes. In this implementation, Double-Heston Model is calibrated thanks to a differential evolution (for global optimization) and Levenberg Marquardt (for local optimization) algorithm, leading to a significantly improved market fit. Indeed, this model can cope with very stiff volatilities skews and is more robust in calibration than the single Heston. As for the Monte-Carlo diffusion, Pricing Partners has invented a new fast Quadratic Exponential scheme derived from the one of Andersen done for the simple Heston. This numerical scheme converges very rapidly. A technical paper can be downloaded on the SSRN website.
Pierre Gauthier, financial engineer comments “Together with Dylan, we have performed extensive numerical tests with the Double Heston. We have fine tuned numerical parameters so that Double Heston model works at its best. Thanks to the newly implemented differential evolution, Double Heston model has a close fit to the implied volatility surface. Besides, Monte Carlo simulation is very efficient thanks to a fast converging numerical scheme.”
Eric Benhamou, CEO of Pricing Partners adds “At Pricing Partners, we are constantly improving our pricing models to better capture and model risk. The double Heston is a masterpiece and provides a very accurate modeling of volatilities skew. This is quite valuable for equity, indexes and funds derivatives products revaluation as initial strikes that were initially close to the At The Money strikes are now very off and are relying on the underlying assumption of the volatility on the tails. The double Heston model provides very accurate interpolation/extrapolation of the volatility smile and hence gives reliable and accurate valuation. In addition, it strengthens even more our position of the leading provider of cutting edge pricing models and analytics.”
Founded by former professionals of the trading floor, working in investment banks like Goldman Sachs, Société Générale, Natixis or HSBC, Pricing Partners has become over the last two years a major player. In October 2008, it launched its Internet independent valuation platform, Price-it® Online, which affirms its leading place in the financial modeling as well as independent valuations provider. Designed for all major assets like Interest Rates, Equity, Inflation, Credit, Foreign Exchange, Commodities, and Life Insurance to Hybrid products, Price-it® comes either as a software tools or an Internet Platform, providing all the tools for the transparent valuation on structured products. Price-it® online uses cutting edge mathematical models together with a new language to describe the complexity of any structured products.
About Pricing Partners
Set up by former professionals of the trading industry, Pricing Partners offers accurate solutions for derivatives products valuation, pricing tools and risk analytics. Thanks to Price-it online, a SaaS platform, Pricing Partners provides independent valuation from the vanilla to the most exotic financial products on most assets (Interest Rates, Fixed Income, Equity, Inflation, Credit, Foreign Exchange, Commodities, Life Insurance and Hybrid products). Pricing Partners develops and commercializes Price-it Excel, an analytic and independent pricing library using a generic payoff language description which allows the pricing of virtually any financial derivatives. Price-it also supports VaR, CVaR and the most common risk management tools. Pricing Partners is the only company completely mastering the chain of valuation, developing both its own pricing library and a valuation platform giving its clients very accurate and reliable valuation as a result of its intrinsic knowledge of the pricing tools. Pricing Partners solutions can be used by investment banks, buy side firms, hedge funds, financial departments, trading rooms and audit firms.
Pricing Partners has also signed numerous partnerships to distribute its technology with leading institutions like NYSE Euronext (for its independent valuation service via Primesource), Misys (for its pricing library integrated into Summit), CMA or Lexifi. It is also a Microsoft IDEES partner, an IBM, Sun, Datasynapse and ActiveEon partner. It is also a member of the grid research consortium GCPMF regrouping BNP Paribas, Calyon, Ecole Centrale, EDF, ENPC, the Inria, Natixis, Misys, Pars VI University and Supelec and a global coordinator of the Credinext consortium, in collaboration with Prime Source, Lunalogic, the Ecole Polytechnique, the ENPC, the University of Marne La Vallée and the INRIA.
Direct: +33 1 55 26 42 00
Fax: +33 1 5526 42 03