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A new approach to modeling the dynamics of implied distributions: Theory and evidence from the S&P 500 options

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UNSPECIFIED (2004) A new approach to modeling the dynamics of implied distributions: Theory and evidence from the S&P 500 options. JOURNAL OF BANKING & FINANCE, 28 (7). pp. 1499-1520. ISSN 0378-4266

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Official URL: http://dx.doi.org/10.1016/S0378-4266(03)00127-4

Abstract

This paper presents a new approach to modeling the dynamics of implied distributions. First, we obtain a parsimonious description of the dynamics of the S&P 500 implied cumulative distribution functions by applying principal components analysis. Subsequently, we develop new arbitrage-free Monte Carlo simulation methods that model the evolution of the whole distribution through time as a diffusion process. Our approach generalizes the conventional approaches of modeling only the first two moments as diffusion processes, and it has important implications for "smile-consistent" option pricing and for risk management. The out-of-sample performance within a Value-at-Risk framework is examined. (C) 2003 Elsevier B.V. All rights reserved.

Item Type: Journal Article
Subjects: H Social Sciences > HG Finance
H Social Sciences > HC Economic History and Conditions
Journal or Publication Title: JOURNAL OF BANKING & FINANCE
Publisher: ELSEVIER SCIENCE BV
ISSN: 0378-4266
Date: July 2004
Volume: 28
Number: 7
Number of Pages: 22
Page Range: pp. 1499-1520
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/8349

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