Option Pricing Under the Variance Gamma Process
Author: Filippo Fiorani (t.d.-)
Publisher:
Published: 2005
Total Pages:
ISBN-13:
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Author: Filippo Fiorani (t.d.-)
Publisher:
Published: 2005
Total Pages:
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DOWNLOAD EBOOKAuthor: Jens Ihlow
Publisher:
Published: 2013
Total Pages: 104
ISBN-13:
DOWNLOAD EBOOKAuthor: Jakub Drahokoupil
Publisher:
Published: 2021
Total Pages:
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DOWNLOAD EBOOKAuthor: Jun Wang
Publisher:
Published: 2009
Total Pages:
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DOWNLOAD EBOOKAuthor: Roman Ivanov
Publisher:
Published: 2015
Total Pages: 11
ISBN-13:
DOWNLOAD EBOOKIn this paper we primarily obtain the explicit formulas for the distribution function of the variance gamma process. The formulas are based on values of hypergeometric functions. This result is applied to European option pricing. Basing on the established formulas, we get the prices of binary options, as long as the price of European call which was derived firstly in paper by Madan, Carr and Chang (1998).
Author:
Publisher:
Published: 2001
Total Pages: 106
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DOWNLOAD EBOOKAuthor: Michael C. Fu
Publisher: Springer Science & Business Media
Published: 2007-06-22
Total Pages: 345
ISBN-13: 0817645454
DOWNLOAD EBOOKThis self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.
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Publisher:
Published: 2008
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DOWNLOAD EBOOKWe develop and study efficient Monte Carlo algorithms for pricing path-dependent options with the variance gamma model. The key ingredient is difference-of-gamma bridge sampling, based on the representation of a variance gamma process as the difference of two increasing gamma processes. For typical payoff structures, we obtain a pair of estimators (named low and high) with expectations that are (i) monotone along any such bridge sampler; (ii) contain the continuous-time price. These estimators provide pathwise bounds on unbiased estimators that would be more expensive to compute (infinitely expensive in some situations). By using these bounds together with extrapolation techniques, we obtain significant simulation efficiency improvements by work reduction. We then combine the gamma bridge sampling with randomized quasi-Monte Carlo to reduce the variance and thus improve the efficiency by another important factor. We illustrate the large efficiency improvements on numerical examples for Asian, lookback, and barrier options.
Author: 張紘維
Publisher:
Published: 2023
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Yoshio Miyahara
Publisher: World Scientific
Published: 2012
Total Pages: 200
ISBN-13: 1848163487
DOWNLOAD EBOOKThis volume offers the reader practical methods to compute the option prices in the incomplete asset markets. The [GLP & MEMM] pricing models are clearly introduced, and the properties of these models are discussed in great detail. It is shown that the geometric L(r)vy process (GLP) is a typical example of the incomplete market, and that the MEMM (minimal entropy martingale measure) is an extremely powerful pricing measure. This volume also presents the calibration procedure of the [GLP \& MEMM] model that has been widely used in the application of practical problem