A Jump-Diffusion Model for Option Pricing

References

  • Abramowitz M., Stegun I. A.Handbook of Mathematical function (1972) (Washington, D.C.). 10th Printing. U.S. National Bureau of StandardsGoogle Scholar
  • Andersen L., Andreasen J. Volatility skews and extensions of the libor market model. Appl. Math. Finance (2000) 7:1–32CrossrefGoogle Scholar
  • Andersen T., Benzoni L., Lund J. Estimating jump-diffusions for equity returns. . Working paper, Northwestern University, Evanston, ILGoogle Scholar
  • Barberis N., Shleifer A., Vishny R. A model of investor sentiment. J. Financial Econom. (1998) 49:307–343CrossrefGoogle Scholar
  • Barndorff-Nielsen O. E., Shephard N. Non-Gaussian Ornstein-Uhlenbeck based models and some of their uses in financial economics (with discussion). J. Roy. Statist. Soc., Ser. B. (2001) 63:167–241CrossrefGoogle Scholar
  • Björk T., Kabanov Y., Runggaldier W. Bond market structure in the presence of marked point processes. Math. Finance (1997) 7:211–239CrossrefGoogle Scholar
  • Blattberg R. C., Gonedes N. J. A comparison of the stable and student distributions as statistical models for stock prices. J. Bus. (1974) 47:244–280CrossrefGoogle Scholar
  • Boyle P., Broadie M., Glasserman P. Simulation methods for security pricing. J. Econom. Dynam. Control (1997) 21:1267–1321CrossrefGoogle Scholar
  • Clark P. K. A subordinated stochastic process model with finite variance for speculative prices. Econometrica (1973) 41:135–155CrossrefGoogle Scholar
  • Cox J. C., Ross S. A. The valuation of options for alternative stochastic processes. J. Financial Econom. (1976) 3:145–166CrossrefGoogle Scholar
  • Cox J. C., Ingersoll J. E., Ross S. A. A theory of the term structure of interest rates. Econometrica (1985) 53:385–407CrossrefGoogle Scholar
  • Das S. R., Foresi S. Exact solutions for bond and option prices with systematic jump risk. Rev. Derivatives Res. (1996) 1:7–24CrossrefGoogle Scholar
  • Davydov D., Linetsky V. The valuation and hedging of path-dependent options under the CEV process. Management Sci. (2001) 47:949–965LinkGoogle Scholar
  • Derman E., Kani I. Riding on a smile. RISK (1994) 7(Feb):32–39Google Scholar
  • Duffie D., Pan J., Singleton K. Transform analysis and option pricing for affine jump-diffusions. Econometrica (2000) 68:1343–1376CrossrefGoogle Scholar
  • Dupire B. Pricing with a smile. RISK (1994) 7(Feb):18–20Google Scholar
  • Engle R.ARCH, Selected Readings (1995) (Oxford University Press, Oxford, U.K.) Google Scholar
  • Fama E. Market efficiency, long-term returns, and behavioral finance. J. Financial Econom. (1998) 49:283–306CrossrefGoogle Scholar
  • Fouque J.-P., Papanicolaou G., Sircar K. R.Derivatives in Financial Markets with Stochastic Volatility (2000) (Cambridge University Press, Cambridge, U.K.) Google Scholar
  • Geman H., Madan D. B., Yor M. Time changes for Lévy processes. Math. Finance (2001) 11:79–96CrossrefGoogle Scholar
  • Glasserman P., Kou S. G. The term structure of simple interest rates with jump risk. (1999) (Columbia University, New York) . Working paperGoogle Scholar
  • Grünewald B., Trautmann S. Option hedging in the presence of jump risk. (1996) . Preprint, Johannes Gutenberg-Universität Mainz, GermanyGoogle Scholar
  • Heston S. A closed-form solution of options with stochastic volatility with applications to bond and currency options. Rev. Financial Stud. (1993) 6:327–343CrossrefGoogle Scholar
  • Heyde C. C. A risky asset model with strong dependence through fractal activity time. J. Appl. Probab. (2000) 36:1234–1239Google Scholar
  • Hull J., White A. The pricing of options on assets with stochastic volatilities. J. Finance (1987) 42:281–300CrossrefGoogle Scholar
  • Johnson N., Kotz S., Balakrishnan N.Continuous Univariate Distribution (1995) 22nd ed.(Wiley, New York) Google Scholar
  • Kou S. G., Wang H. First passage times for a jump diffusion process. (2000) (Columbia University, New York) . Working paperGoogle Scholar
  • Kou S. G., Wang H. Option pricing under a double exponential jump diffusion model. (2001) (Columbia University, New York) . Working paperGoogle Scholar
  • Lucas R. E. Asset prices in an exchange economy. Econometrica (1978) 46:1429–1445CrossrefGoogle Scholar
  • Madan D. B., Seneta E. The variance gamma (V.G.) model for share market returns. J. Bus. (1990) 63:511–524CrossrefGoogle Scholar
  • Madan D. B., Carr P., Chang E. C. The variance gamma process and option pricing. Eur. Finance Rev. (1998) 2:79–105CrossrefGoogle Scholar
  • Mandelbrot B. The variation of certain speculative prices. J. Bus. (1963) 36:394–419CrossrefGoogle Scholar
  • Merton R. C. Option pricing when underlying stock returns are discontinuous. J. Financial Econom. (1976) 3:125–144CrossrefGoogle Scholar
  • Naik V., Lee M. General equilibrium pricing of options on the market portfolio with discontinuous returns. Rev. Financial Stud. (1990) 3:493–521CrossrefGoogle Scholar
  • Ramezani C. A., Zeng Y. Maximum likelihood estimation of asymmetric jump-diffusion process: Application to security prices. (1999) (Department of Statistics, University of Wisconsin, Madison, WI) . Working paperGoogle Scholar
  • Rogers L. C. G. Arbitrage from fractional Brownian motion. Math. Finance (1997) 7:95–105CrossrefGoogle Scholar
  • Samorodnitsky G., Taqqu M. S.Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance (1994) (Chapman and Hall, New York) Google Scholar
  • Shanthikumar J. G. Bilateral phase-type distributions. Naval Res. Logist. Quart. (1985) 32:119–136CrossrefGoogle Scholar
  • Stokey N. L., Lucas R. E.Recursive Methods in Economic Dynamics (1989) (Harvard University Press, Cambridge, MA) CrossrefGoogle Scholar
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