An Irregular Grid Approach for Pricing High-Dimensional American Options
AbstractWe propose and test a new method for pricing American options in a high-dimensional setting.The method is centred around the approximation of the associated complementarity problem on an irregular grid.We approximate the partial differential operator on this grid by appealing to the SDE representation of the underlying process and computing the root of the transition probability matrix of an approximating Markov chain.Experimental results in five dimensions are presented for four different payoff functions.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2004-18.
Date of creation: 2004
Date of revision:
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Web page: http://center.uvt.nl
option pricing; inequality; markov chains;
Other versions of this item:
- Berridge, S.J. & Schumacher, J.M., 2002. "An Irregular Grid Approach for Pricing High Dimensional American Options," Discussion Paper 2002-99, Tilburg University, Center for Economic Research.
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-04-04 (All new papers)
- NEP-CMP-2004-04-04 (Computational Economics)
- NEP-FIN-2004-04-04 (Finance)
- NEP-RMG-2004-04-04 (Risk Management)
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- Berridge, S.J. & Schumacher, J.M., 2004. "Using Localised Quadratic Functions on an Irregular Grid for Pricing High-Dimensional American Options," Discussion Paper 2004-20, Tilburg University, Center for Economic Research.
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