Closed-Form Expansions of Discretely Monitored Asian Options in Diffusion Models
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[1] M. Yor,et al. The importance of strictly local martingales; applications to radial Ornstein–Uhlenbeck processes , 1999 .
[2] Gianluca Fusai,et al. Analytical pricing of discretely monitored Asian-style options: Theory and application to commodity markets , 2008 .
[3] H. Geman. Commodities and Commodity Derivatives: Modelling and Pricing for Agriculturals, Metals and Energy , 2005 .
[4] Eduardo S. Schwartz. The stochastic behavior of commodity prices: Implications for valuation and hedging , 1997 .
[5] L. Rogers. Stochastic differential equations and diffusion processes: Nobuyuki Ikeda and Shinzo Watanabe North-Holland, Amsterdam, 1981, xiv + 464 pages, Dfl.175.00 , 1982 .
[6] Vadim Linetsky,et al. Spectral Expansions for Asian (Average Price) Options , 2004, Oper. Res..
[7] Mtw,et al. Stochastic flows and stochastic differential equations , 1990 .
[8] Leif Andersen,et al. Extended Libor Market Models with Stochastic Volatility , 2001 .
[9] 国田 寛. Stochastic flows and stochastic differential equations , 1990 .
[10] Akihiko Takahashi. ``On an Asymptotic Expansion Approach to Numerical Problems in Finance" (forthcoming in ``Sugaku," Vol. 59-1, (2007)) , 2009 .
[11] Murad S. Taqqu,et al. Wiener Chaos: Moments, Cumulants and Diagrams: A Survey with Computer Implementation , 2014 .
[12] R. Kanwal. Generalized Functions: Theory and Applications , 2004 .
[13] T. Faniran. Numerical Solution of Stochastic Differential Equations , 2015 .
[14] J. Andreasen. The pricing of discretely sampled Asian and lookback options: a change of numeraire approach , 1998 .
[15] Eric Benhamou,et al. Time Dependent Heston Model , 2009, SIAM J. Financial Math..
[16] Akihiko Takahashi,et al. On validity of the asymptotic expansion approach in contingent claim analysis , 2003 .
[17] Gurdip Bakshi,et al. Estimation of Continuous-Time Models with an Application to Equity Volatility Dynamics , 2005 .
[18] Akihiko Takahashi,et al. A General Computation Scheme for a High-Order Asymptotic Expansion Method , 2012 .
[19] M. Yor,et al. BESSEL PROCESSES, ASIAN OPTIONS, AND PERPETUITIES , 1993 .
[20] Jens Carsten Jackwerth,et al. Recovering Stochastic Processes from Option Prices , 2012 .
[21] Akihiko Takahashi. An Asymptotic Expansion Approach to Pricing Financial Contingent Claims , 1999 .
[22] Yacine Ait-Sahalia. Testing Continuous-Time Models of the Spot Interest Rate , 1995 .
[23] Akihiko Takahashi,et al. A Remark on Approximation of the Solutions to Partial Differential Equations in Finance , 2012 .
[24] Vadim Linetsky,et al. A jump to default extended CEV model: an application of Bessel processes , 2006, Finance Stochastics.
[25] D. Pilipović,et al. Energy Risk: Valuing and Managing Energy Derivatives , 1997 .
[26] David C. Emanuel,et al. Further Results on the Constant Elasticity of Variance Call Option Pricing Model , 1982, Journal of Financial and Quantitative Analysis.
[27] P. Glasserman,et al. A Continuity Correction for Discrete Barrier Options , 1997 .
[28] J. Vecer. A new PDE approach for pricing arithmetic average Asian options , 2001 .
[29] A. Borodin,et al. Handbook of Brownian Motion - Facts and Formulae , 1996 .
[30] Steven Kou,et al. Pricing Asian Options Under a Hyper-Exponential Jump Diffusion Model , 2012, Oper. Res..
[31] Vadim Linetsky,et al. Pricing and Hedging Path-Dependent Options Under the CEV Process , 2001, Manag. Sci..
[32] N. Yoshida. ASYMPTOTIC EXPANSION FOR STATISTICS RELATED TO SMALL DIFFUSIONS , 1992 .
[33] Akihiko Takahashi,et al. The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims , 2001 .
[34] Sam Howison,et al. Asymptotic Approximations for Asian, European, and American Options with Discrete Averaging or Discrete Dividend/Coupon Payments , 2012, SIAM J. Financial Math..
[35] Emmanuel Gobet,et al. Weak approximation of averaged diffusion processes , 2014 .
[36] Nengjiu Ju. Pricing Asian and basket options via Taylor expansion , 2002 .
[37] C. Sin. Strictly Local Martingales and Hedge Ratios on Stochatic Volatility Models , 1996 .
[38] V. Linetsky,et al. Constant Elasticity of Variance (CEV) Diffusion Model , 2010 .
[39] Murad S. Taqqu,et al. Wiener chaos: moments, cumulants and diagrams , 2011 .
[40] Leif Andersen,et al. Volatility skews and extensions of the Libor market model , 1998 .
[41] Eric Benhamou,et al. Expansion formulas for European options in a local volatility model , 2010 .
[42] Masayuki Uchida,et al. Asymptotic Expansion for Small Diffusions Applied to Option Pricing , 2004 .
[43] P. Protter. A Mathematical Theory of Financial Bubbles , 2012 .
[44] Gianluca Fusai. Pricing Asian options via Fourier and Laplace transforms , 2004 .
[45] Vadim Linetsky,et al. TIME‐CHANGED ORNSTEIN–UHLENBECK PROCESSES AND THEIR APPLICATIONS IN COMMODITY DERIVATIVE MODELS , 2012, 1204.3679.
[46] Alan L. Lewis. Option Valuation under Stochastic Volatility , 2000 .
[47] A. Meucci,et al. Pricing discretely monitored Asian options under Levy processes , 2008 .
[48] M. Fu,et al. Pricing Continuous Asian Options: A Comparison of Monte Carlo and Laplace Transform Inversion Methods , 1998 .
[49] P. Hagan,et al. MANAGING SMILE RISK , 2002 .
[50] Vadim Linetsky,et al. Lookback options and diffusion hitting times: A spectral expansion approach , 2004, Finance Stochastics.
[51] A. Cerný,et al. An Improved Convolution Algorithm for Discretely Sampled Asian Options , 2011 .
[52] S. Ross,et al. The valuation of options for alternative stochastic processes , 1976 .
[53] 池田 信行,et al. Stochastic differential equations and diffusion processes , 1981 .
[54] S. Shreve. Stochastic Calculus for Finance II: Continuous-Time Models , 2010 .
[55] Anton Thalmaier,et al. Stochastic Calculus of Variations in Mathematical Finance , 2005 .
[56] Gianluca Fusai,et al. Pricing Discretely Monitored Asian Options by Maturity Randomization , 2011, SIAM J. Financial Math..
[57] Akihiko Takahashi,et al. Pricing Average Options on Commodities , 2011 .
[58] David Nualart Rodón,et al. The Malliavin Calculus and Related Topics , 2006 .
[59] S. Kou. ON PRICING OF DISCRETE BARRIER OPTIONS , 2003 .
[60] S. Karlin,et al. A second course in stochastic processes , 1981 .
[61] Jean-Pierre Fouque,et al. Pricing Asian options with stochastic volatility , 2003 .
[62] Rafael Mendoza-Arriaga,et al. Pricing equity default swaps under the jump-to-default extended CEV model , 2011, Finance Stochastics.
[63] Mark Broadie,et al. Connecting discrete and continuous path-dependent options , 1999, Finance Stochastics.
[64] Shinzo Watanabe. Analysis of Wiener Functionals (Malliavin Calculus) and its Applications to Heat Kernels , 1987 .
[65] D. Nualart. The Malliavin Calculus and Related Topics , 1995 .