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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 |
Data sourced from Thomson Reuters' Web of Knowledge
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