Subordination, Self-Similarity, and Option Pricing
Joint Authors
Galloway, Mack L.
Nolder, Craig A.
Source
Journal of Applied Mathematics and Decision Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-25
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
We use additive processes to price options on the Standard and Poor's 500 index (SPX) for the sake of comparison of pricing performance across both model class and family of time-one distribution.
Each of the additive processes in this study is defined using one of the following: subordination, Sato's (2002) construction of self-similar additive processes from self-decomposable distributions, or both.
We find that during the year 2005: (1) for a given family of time-one distributions, four-parameter self-similar additive models consistently yielded lower pricing errors than those of four-parameter subordinated, and time-inhomogeneous additive models, (2) for a given class of additive models, the time-one marginal given by the normal inverse Gaussian distribution consistently yielded lower pricing errors than those of the variance gamma distribution.
Market and model benchmarks for the additive models under consideration are obtained via the bid-ask spreads of the options and Lévy stochastic volatility model prices, respectively.
American Psychological Association (APA)
Galloway, Mack L.& Nolder, Craig A.. 2009. Subordination, Self-Similarity, and Option Pricing. Journal of Applied Mathematics and Decision Sciences،Vol. 2008, no. 2008, pp.1-30.
https://search.emarefa.net/detail/BIM-468896
Modern Language Association (MLA)
Galloway, Mack L.& Nolder, Craig A.. Subordination, Self-Similarity, and Option Pricing. Journal of Applied Mathematics and Decision Sciences No. 2008 (2008), pp.1-30.
https://search.emarefa.net/detail/BIM-468896
American Medical Association (AMA)
Galloway, Mack L.& Nolder, Craig A.. Subordination, Self-Similarity, and Option Pricing. Journal of Applied Mathematics and Decision Sciences. 2009. Vol. 2008, no. 2008, pp.1-30.
https://search.emarefa.net/detail/BIM-468896
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468896