Chapter 2 Jump-Diffusion Models for Asset Pricing in Financial Engineering

[1]  B. Mandlebrot The Variation of Certain Speculative Prices , 1963 .

[2]  Samuel Karlin,et al.  A First Course on Stochastic Processes , 1968 .

[3]  P. Clark A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices , 1973 .

[4]  Robert C. Blattberg,et al.  A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices: Reply , 1974 .

[5]  R. C. Merton,et al.  Option pricing when underlying stock returns are discontinuous , 1976 .

[6]  S. Ross,et al.  The valuation of options for alternative stochastic processes , 1976 .

[7]  O. Barndorff-Nielsen Exponentially decreasing distributions for the logarithm of particle size , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[8]  M. Rubinstein. Nonparametric tests of alternative option pricing models using all reported trades and quotes on the , 1985 .

[9]  R. Lucas ASSET PRICES IN AN EXCHANGE ECONOMY , 1978 .

[10]  M. Goldman,et al.  Path Dependent Options: "Buy at the Low, Sell at the High" , 1979 .

[11]  Larry J. Merville,et al.  An Empirical Examination of the Black‐Scholes Call Option Pricing Model , 1979 .

[12]  G. Barone-Adesi,et al.  Efficient Analytic Approximation of American Option Values , 1987 .

[13]  Alan G. White,et al.  The Pricing of Options on Assets with Stochastic Volatilities , 1987 .

[14]  A. Iserles Numerical recipes in C—the art of scientific computing , by W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling. Pp 735. £27·50. 1988. ISBN 0-521-35465-X (Cambridge University Press) , 1989, The Mathematical Gazette.

[15]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[16]  Vasant Naik,et al.  General Equilibrium Pricing of Options on the Market Portfolio with Discontinuous Returns , 1990 .

[17]  E. Seneta,et al.  The Variance Gamma (V.G.) Model for Share Market Returns , 1990 .

[18]  P. Carr,et al.  ALTERNATIVE CHARACTERIZATIONS OF AMERICAN PUT OPTIONS , 1992 .

[19]  Ward Whitt,et al.  The Fourier-series method for inverting transforms of probability distributions , 1992, Queueing Syst. Theory Appl..

[20]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[21]  S. Heston A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options , 1993 .

[22]  M. Yor,et al.  BESSEL PROCESSES, ASIAN OPTIONS, AND PERPETUITIES , 1993 .

[23]  Kaushik I. Amin Jump Diffusion Option Valuation in Discrete Time , 1993 .

[24]  W. Whitt,et al.  Multidimensional Transform Inversion with Applications to the Transient M/G/1 Queue , 1994 .

[25]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .

[26]  Robert F. Engle,et al.  ARCH: Selected Readings , 1995 .

[27]  M. Taqqu,et al.  Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance , 1995 .

[28]  S. Takenaka Stable Non-Gaussian Random Processes - Stochastic Models with Infinite Variance - G. Samorodnitsky; M. S. Taqqu. , 1996 .

[29]  Sanjiv Ranjan Das,et al.  Exact solutions for bond and option prices with systematic jump risk , 1996 .

[30]  P. Glasserman,et al.  Monte Carlo methods for security pricing , 1997 .

[31]  E. Fama Market Efficiency, Long-Term Returns, and Behavioral Finance , 1997 .

[32]  L. Rogers Arbitrage with Fractional Brownian Motion , 1997 .

[33]  H. Pham Optimal stopping, free boundary, and American option in a jump-diffusion model , 1997 .

[34]  M. Fu,et al.  Pricing Continuous Asian Options: A Comparison of Monte Carlo and Laplace Transform Inversion Methods , 1998 .

[35]  P. Carr,et al.  The Variance Gamma Process and Option Pricing , 1998 .

[36]  Cyrus A. Ramezani,et al.  Maximum Likelihood Estimation of Asymmetric Jump-Diffusion Processes: Application to Security Prices , 1998 .

[37]  Espen Gaarder Haug Barrier Put-Call Transformations , 1999 .

[38]  Mark D. Schroder,et al.  Changes of Numeraire for Pricing Futures, Forwards, and Options , 1999 .

[39]  C. Heyde A RISKY ASSET MODEL WITH STRONG DEPENDENCE THROUGH FRACTAL ACTIVITY TIME , 1999 .

[40]  K. Prause The Generalized Hyperbolic Model: Estimation, Financial Derivatives, and Risk Measures , 1999 .

[41]  P. Carr,et al.  Option valuation using the fast Fourier transform , 1999 .

[42]  Philippe Artzner,et al.  Coherent Measures of Risk , 1999 .

[43]  D. Heath,et al.  Numerical Inversion of Laplace Transforms: A Survey of Techniques with Applications to Derivative Pricing , 1999 .

[44]  L. C. G. Rogers Evaluating first-passage probabilities for spectrally one-sided Lévy processes , 2000, Journal of Applied Probability.

[45]  Dawn Hunter Pricing continuous Asian options: a comparison of Monte Carlo and Laplace transform inversion methods , 2000 .

[46]  G. Papanicolaou,et al.  Derivatives in Financial Markets with Stochastic Volatility , 2000 .

[47]  P. Glasserman,et al.  The Term Structure of Simple Forward Rates with Jump Risk , 2000 .

[48]  N. Shephard,et al.  Non‐Gaussian Ornstein–Uhlenbeck‐based models and some of their uses in financial economics , 2001 .

[49]  Chandrasekhar Reddy Gukhal Analytical Valuation of American Options on Jump-Diffusion Processes , 2001 .

[50]  Vadim Linetsky,et al.  Pricing and Hedging Path-Dependent Options Under the CEV Process , 2001, Manag. Sci..

[51]  M. Yor,et al.  Stochastic Volatility for Levy Processes , 2001 .

[52]  Samuel Kotz,et al.  The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance , 2001 .

[53]  S. Levendorskii,et al.  Barrier options and touch- and-out options under regular Lévy processes of exponential type , 2002 .

[54]  S. R. Pliska,et al.  Mathematical Finance, Bachelier Congres 2000 , 2002 .

[55]  E. Eberlein,et al.  The Generalized Hyperbolic Model: Financial Derivatives and Risk Measures , 2002 .

[56]  Steven Kou,et al.  A Jump Diffusion Model for Option Pricing , 2001, Manag. Sci..

[57]  木島 正明,et al.  Stochastic processes with applications to finance , 2002 .

[58]  A. Kyprianou,et al.  Perpetual options and Canadization through fluctuation theory , 2003 .

[59]  Artur Sepp,et al.  Analytical Pricing of Double-Barrier Options under a Double-Exponential Jump Diffusion Process: Applications of Laplace Transform , 2003 .

[60]  Hui Wang,et al.  First passage times of a jump diffusion process , 2003, Advances in Applied Probability.

[61]  R. Cont,et al.  Financial Modelling with Jump Processes , 2003 .

[62]  Steven Kou,et al.  Option Pricing Under a Double Exponential Jump Diffusion Model , 2001, Manag. Sci..

[63]  G. Petrella An extension of the Euler Laplace transform inversion algorithm with applications in option pricing , 2004, Oper. Res. Lett..

[64]  Florin Avram,et al.  Exit problems for spectrally negative Levy processes and applications to (Canadized) Russian options , 2004 .

[65]  Liming Feng,et al.  On the Valuation of Options in Jump-Di ff usion Models by Variational Methods ∗ , 2004 .

[66]  S. Kou,et al.  Numerical pricing of discrete barrier and lookback options via Laplace transforms , 2004 .

[67]  S. Asmussen,et al.  Russian and American put options under exponential phase-type Lévy models , 2004 .

[68]  C. C. Heydea,et al.  On the controversy over tailweight of distributions , 2004 .

[69]  S. Kou,et al.  Pricing Path-Dependent Options with Jump Risk via Laplace Transforms , 2005 .

[70]  Rama Cont,et al.  A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models , 2005, SIAM J. Numer. Anal..

[71]  R. C. Merton,et al.  Theory of Rational Option Pricing , 2015, World Scientific Reference on Contingent Claims Analysis in Corporate Finance.

[72]  P. Forsyth,et al.  Robust numerical methods for contingent claims under jump diffusion processes , 2005 .

[73]  C. Heyde,et al.  What Is a Good Risk Measure: Bridging the Gaps between Data, Coherent Risk Measures, and Insurance Risk Measures , 2006 .

[74]  Christian Bender,et al.  Arbitrage with fractional Brownian motion , 2007 .

[75]  C. Heyde,et al.  What Is a Good External Risk Measure: Bridging the Gaps between Robustness, Subadditivity, and Insurance Risk Measures , 2007 .

[76]  Xiongzhi Chen Brownian Motion and Stochastic Calculus , 2008 .

[77]  Vadim Linetsky,et al.  Pricing Options in Jump-Diffusion Models: An Extrapolation Approach , 2008, Oper. Res..

[78]  Nan Chen,et al.  CREDIT SPREADS, OPTIMAL CAPITAL STRUCTURE, AND IMPLIED VOLATILITY WITH ENDOGENOUS DEFAULT AND JUMP RISK , 2009 .