The Variance Gamma (V.G.) Model for Share Market Returns

作者: Dilip B. Madan , Eugene Seneta

DOI: 10.1086/296519

关键词:

摘要: A new stochastic process, termed the variance gamma is proposed as a model for uncertainty underlying security prices. The unit period distribution normal conditional on that distributed variate. Its advantages include long tailedness, continuous-time specification, finite moments of all orders, elliptical multivariate distributions, and good empirical fit. process pure jump, approximable by compound Poisson with high jump frequency low magnitudes. Applications to option pricing show differential effects options money, compared in or out money. Copyright 1990 University Chicago.

参考文章(20)
D. B. Madan, E. Seneta, Chebyshev Polynomial Approximations and Characteristic Function Estimation Journal of the royal statistical society series b-methodological. ,vol. 49, pp. 163- 169 ,(1987) , 10.1111/J.2517-6161.1987.TB01687.X
Michael R. Gibbons, Multivariate tests of financial models Journal of Financial Economics. ,vol. 10, pp. 3- 27 ,(1982) , 10.1016/0304-405X(82)90028-9
E. Grosswald, The Student $t$-Distribution for Odd Degrees of Freedom is Infinitely Divisible Annals of Probability. ,vol. 4, pp. 680- 683 ,(1976) , 10.1007/BF00533993
Richard M. Bookstaber, James B. McDonald, A General Distribution for Describing Security Price Returns The Journal of Business. ,vol. 60, pp. 401- 424 ,(1987) , 10.1086/296404
D. B. Madan, E. Seneta, Simulation of estimates using the empirical characteristic function International Statistical Review. ,vol. 55, pp. 153- 161 ,(1987) , 10.2307/1403191
Joel Owen, Ramon Rabinovitch, None, On the Class of Elliptical Distributions and their Applications to the Theory of Portfolio Choice Journal of Finance. ,vol. 38, pp. 745- 752 ,(1983) , 10.1111/J.1540-6261.1983.TB02499.X
J.Michael Harrison, Stanley R. Pliska, A stochastic calculus model of continuous trading: Complete markets Stochastic Processes and their Applications. ,vol. 15, pp. 313- 316 ,(1983) , 10.1016/0304-4149(83)90038-8
D. Teichroew, The Mixture of Normal Distributions with Different Variances Annals of Mathematical Statistics. ,vol. 28, pp. 510- 512 ,(1957) , 10.1214/AOMS/1177706981
Benoit B. Mandelbrot, New methods in statistical economics Fractals and Scaling in Finance. ,vol. 71, pp. 79- 104 ,(1997) , 10.1007/978-1-4757-2763-0_3
Thomas S. Ferguson, Michael J. Klass, A Representation of Independent Increment Processes without Gaussian Components Annals of Mathematical Statistics. ,vol. 43, pp. 1634- 1643 ,(1972) , 10.1214/AOMS/1177692395