Fe b 20 04 A Non-Gaussian Option Pricing Model with Skew

  title={Fe b 20 04 A Non-Gaussian Option Pricing Model with Skew},
  author={Lisa Borland and Jean-Philippe Bouchaud},
Closed form option pricing formulae explaining skew and smile are obtained within a parsimonious non-Gaussian framework. We extend the non-Gaussian option pricing model of L. Borland (Quantitative Finance, 2, 415-431, 2002) to include volatility-stock correlations consistent with the leverage effect. A generalized Black-Scholes partial differential equation for this model is obtained, together with closedform approximate solutions for the fair price of a European call option. In certain limits… CONTINUE READING
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Publications referenced by this paper.
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unpublished working paper (1974); J

J. C. Cox
C. Cox and S. A. Ross, The Evaluation of Options for Alternative Stochastic Processes, Journal of Financial Economics 3, 145-166, • 1976
View 7 Excerpts
Highly Influenced


J.-P. Bouchaud, A. Matacz
and M. Potters, Leverage effect in financial markets: the retarded volatility model, Physical Review Letters, 87, 228701, • 2001
View 3 Excerpts
Highly Influenced

Financial modelling with jump processes

R. Cont, P. Tankov
CRC Press • 2004
View 1 Excerpt


R. Osorio
Borland and C. Tsallis,Distributions of High-Frequency Stock-Market Observables, in Nonextensive Entropy: Interdisciplinary Applications ed C. Tsallis and M. Gell-Mann (Oxford:Santa Fe Institute Studies in the Science of Complexity, • 2003
View 1 Excerpt

Non-gaussian Merton-Black- Scholes Theory

S. I. Boyarchenko, S. Z. Levendorskii
World Scientific • 2002
View 1 Excerpt

The skewed multifractal random walk with applications to option smiles

B. Pochart, J.-P. Bouchaud
Quantitative Finance, 2, 303 • 2002
View 1 Excerpt

Theory of extended solutions for Fast Diffusion Equations in Optimal Classes of Data

E. Chasseigne, J. L. Vazquez
Radiation from Singularities, Archive Rat. Mech. Anal. 164, 133-187, • 2002
View 2 Excerpts

Campolieti, Extensions of the Black-Scholes formula, working paper

G. C. Albanese
View 1 Excerpt