Alternative Tilts for Nonparametric Option Pricing
This paper generalizes the nonparametric approach to option pricing of Stutzer (1996) by demonstrating that the canonical valuation methodology in- troduced therein is one member of the Cressie-Read family of divergence mea- sures. While the limiting distribution of the alternative measures is identical to the canonical measure, the finite sample properties are quite different. We assess the ability of the alternative divergence measures to price European call options by approximating the risk-neutral, equivalent martingale measure from an empirical distribution of the underlying asset. A simulation study of the finite sample properties of the alternative measure changes reveals that the optimal divergence measure depends upon how accurately the empirical distri- bution of the underlying asset is estimated. In a simple Black-Scholes model, the optimal measure change is contingent upon the number of outliers observed, whereas the optimal measure change is a function of time to expiration in the stochastic volatility model of Heston (1993). Our extension of Stutzer’s tech- nique preserves the clean analytic structure of imposing moment restrictions to price options, yet demonstrates that the nonparametric approach is even more general in pricing options than originally believed.
|Date of creation:||06 Sep 2009|
|Contact details of provider:|| Postal: Ludwigstraße 33, D-80539 Munich, Germany|
Web page: https://mpra.ub.uni-muenchen.de
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Guido W. Imbens & Phillip Johnson & Richard H. Spady, 1995.
"Information Theoretic Approaches to Inference in Moment Condition Models,"
Harvard Institute of Economic Research Working Papers
1736, Harvard - Institute of Economic Research.
- Guido W. Imbens & Richard H. Spady & Phillip Johnson, 1998. "Information Theoretic Approaches to Inference in Moment Condition Models," Econometrica, Econometric Society, vol. 66(2), pages 333-358, March.
- Imbens, G.W. & Johnson, P. & Spady, R.H., 1995. "Information Theoretic Approaches to Inference in Movement Condition Models," Economics Papers 99, Economics Group, Nuffield College, University of Oxford.
- Guido W Imbens, Phillip Johnson & Richard H Spady, "undated". "Information theoretic approaches to inference in moment condition model," Economics Papers W12., Economics Group, Nuffield College, University of Oxford.
- Guido W. Imbens & Phillip Johnson & Richard H. Spady, 1995. "Information Theoretic Approaches to Inference in Moment Condition Models," NBER Technical Working Papers 0186, National Bureau of Economic Research, Inc.
- Robertson, John C & Tallman, Ellis W & Whiteman, Charles H, 2005.
"Forecasting Using Relative Entropy,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 37(3), pages 383-401, June.
- Buchen, Peter W. & Kelly, Michael, 1996. "The Maximum Entropy Distribution of an Asset Inferred from Option Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(01), pages 143-159, March.
- René Garcia & Ramazan Gençay, 1998.
"Pricing and Hedging Derivative Securities with Neural Networks and a Homogeneity Hint,"
CIRANO Working Papers
- Garcia, Rene & Gencay, Ramazan, 2000. "Pricing and hedging derivative securities with neural networks and a homogeneity hint," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 93-115.
- Yuichi Kitamura & Michael Stutzer, 1997. "An Information-Theoretic Alternative to Generalized Method of Moments Estimation," Econometrica, Econometric Society, vol. 65(4), pages 861-874, July.
- M. Ryan Haley & M. Kevin McGee & Todd B. Walker, 2013.
"Disparity, Shortfall, and Twice-Endogenous HARA Utility,"
Taylor & Francis Journals, vol. 32(4), pages 524-541, December.
- Walker, Todd & Haley, M. Ryan & McGee, M. Kevin, 2009. "Disparity, Shortfall, and Twice-Endogenous HARA Utility," MPRA Paper 17139, University Library of Munich, Germany.
- Jamie Alcock & Trent Carmichael, 2008. "Nonparametric American option pricing," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(8), pages 717-748, 08.
- Mark Broadie & Jérôme B. Detemple & Eric Ghysels & Olivier Torrès, 1996.
"American Options with Stochastic Dividends and Volatility: A Nonparametric Investigation,"
CIRANO Working Papers
- Broadie, Mark & Detemple, Jerome & Ghysels, Eric & Torres, Olivier, 2000. "American options with stochastic dividends and volatility: A nonparametric investigation," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 53-92.
- Bera, Anil K. & Bilias, Yannis, 2002. "The MM, ME, ML, EL, EF and GMM approaches to estimation: a synthesis," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 51-86, March.
When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:17140. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.