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Regression‐based modeling of market option prices: with application to S&P500 options
Author(s) -
Pandher Gurupdesh S.
Publication year - 2007
Publication title -
journal of forecasting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.543
H-Index - 59
eISSN - 1099-131X
pISSN - 0277-6693
DOI - 10.1002/for.1035
Subject(s) - econometrics , valuation of options , benchmark (surveying) , economics , volatility (finance) , valuation (finance) , implied volatility , regression , financial economics , mathematics , statistics , finance , geodesy , geography
This paper presents a simple empirical approach to modeling and forecasting market option prices using localized option regressions (LOR). LOR projects market option prices over localized regions of their state space and is robust to assumptions regarding the underlying asset dynamics (e.g. log‐normality) and volatility structure. Our empirical study using 3 years of daily S&P500 options shows that LOR yields smaller out‐of‐sample pricing errors (e.g. 32% 1‐day‐out) relative to an efficient benchmark from the literature and produces option prices free of the volatility smile. In addition to being an efficient and robust option‐modeling and valuation tool for large option books, LOR provides a simple‐to‐implement empirical benchmark for evaluating more complex risk‐neutral models.  Copyright © 2007 John Wiley & Sons, Ltd.

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