Lattice Option Pricing By Multidimensional Interpolation

Vladislav Kargin ()

Finance from EconWPA

Abstract: This note proposes a method for pricing high-dimensional American options based on modern methods of multidimensional interpolation. The method allows using sparse grids and thus mitigates the curse of dimensionality. A framework of the pricing algorithm and the corresponding interpolation methods are discussed, and a theorem is demonstrated that suggests that the pricing method is less vulnerable to the curse of dimensionality. The method is illustrated by an application to rainbow options and compared to Least Squares Monte Carlo and other benchmarks.

Keywords: interpolation; option pricing (search for similar items in EconPapers)
JEL-codes: G13 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-cfn and nep-cmp
Date: 2003-09-07, Revised 2004-10-29
Note: Type of Document - pdf; prepared on IBM PC ; pages: 17; figures: included
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http://129.3.20.41/eps/fin/papers/0309/0309003.pdf (application/pdf)

Related works:
Journal Article: LATTICE OPTION PRICING BY MULTIDIMENSIONAL INTERPOLATION (2005)
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Persistent link: http://EconPapers.repec.org/RePEc:wpa:wuwpfi:0309003

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