Solving the Esscher puzzle: the NEF-GHS option pricing model

Arbeitspapier

With the celebrated model of Black and Scholes in 1973 the development of modern option pricing models started. One of the assumptions of the Black and Scholes model is that the risky asset evolves according to a geometric Brownian motion which implies normally distributed log-returns. As various empirical investigations show, log-returns do not follow a normal distribution, but are leptokurtic and to some extend skewed. To capture these distributional stylized facts, exponential Lévy motions have been proposed since 1994 which allow for a large class of underlying return distributions. In these models the Esscher transformation is used to obtain a risk-neutral valuation formula. This paper proposes the so-called Esscher NEF-GHS option pricing model, where the price process is modeled by an exponential NEF-GHS Levy motion, implying that the returns follow an NEF-GHS distribution. The corresponding model seems to unify all advantages of other Esscher-based option pricing model, that is numerical tractability and a flexible underlying distribution which itself is self-conjugate.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Diskussionspapier ; No. 42a/2002

Klassifikation und Themen

• Klassifikation: Wirtschaft ; Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes ; Contingent Pricing; Futures Pricing; option pricing
• Thema: NEF-GHS distribution ; Option pricing ; Esscher transformation

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Fischer, Matthias J.
• Ereignis: Veröffentlichung
• (wer): Friedrich-Alexander-Universität Erlangen-Nürnburg, Lehrstuhl für Statistik und Ökonometrie
• (wo): Nürnberg
• (wann): 2002

Weitere Informationen

• Handle: http://hdl.handle.net/10419/29624
• Letzte Aktualisierung: 10.03.2025, 11:44 MEZ