A Mellin transform approach to barrier option pricing

[1]  M. Yor,et al.  PRICING AND HEDGING DOUBLE-BARRIER OPTIONS: A PROBABILISTIC APPROACH , 1996 .

[2]  N. Kunitomo,et al.  Pricing Options With Curved Boundaries , 1992 .

[3]  Jeong-Hoon Kim,et al.  The pricing of vulnerable options with double Mellin transforms , 2015 .

[4]  Luca Vincenzo Ballestra,et al.  A very efficient approach for pricing barrier options on an underlying described by the mixed fractional Brownian motion , 2016 .

[5]  Stanimir Kabaivanov,et al.  Efficient option valuation of single and double barrier options , 2017 .

[6]  L. Ballestra,et al.  A boundary element method to price time-dependent double barrier options , 2011, Appl. Math. Comput..

[7]  C. Guardasoni,et al.  Semi-Analytical method for the pricing of barrier options in case of time-dependent parameters (with Matlab® codes) , 2018 .

[8]  Phelim P. Boyle,et al.  An explicit finite difference approach to the pricing of barrier options , 1998 .

[9]  A. M. Wang,et al.  On Pricing of the Up-and-Out Call-A Boundary Integral Method Approach , 2005 .

[10]  Antoon Pelsser,et al.  Pricing double barrier options using Laplace transforms , 2000, Finance Stochastics.

[11]  Rogemar Mamon,et al.  AN APPLICATION OF MELLIN TRANSFORM TECHNIQUES TO A BLACK–SCHOLES EQUATION PROBLEM , 2007 .

[12]  P. Carr,et al.  Static Hedging of Exotic Options , 1998 .

[13]  Tao Li,et al.  Alternative results for option pricing and implied volatility in jump-diffusion models using Mellin transforms , 2016, European Journal of Applied Mathematics.

[14]  Leonard Rogers,et al.  Robust Hedging of Barrier Options , 2001 .

[15]  Paul Schneider,et al.  Pricing options with Green's functions when volatility, interest rate and barriers depend on time , 2008 .

[16]  Chiara Guardasoni,et al.  A boundary element approach to barrier option pricing in Black–Scholes framework , 2016, Int. J. Comput. Math..

[17]  Mariyan Milev,et al.  A numerical method for pricing discrete double barrier option by Legendre multiwavelet , 2017, J. Comput. Appl. Math..

[18]  S. Sanfelici,et al.  Fast Numerical Pricing of Barrier Options under Stochastic Volatility and Jumps , 2016, SIAM J. Appl. Math..

[19]  Aldo Tagliani,et al.  Discontinuous payoff option pricing by Mellin transform: A probabilistic approach , 2017 .

[20]  Cho-Hoi Hui,et al.  Valuing Double Barrier Options With Time-Dependent Parameters by Fourier Series Expansion , 2007, IMECS.

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

[22]  Luca Vincenzo Ballestra,et al.  A very fast and accurate boundary element method for options with moving barrier and time-dependent rebate , 2014 .

[23]  Yi-Long Hsiao,et al.  A Boundary Element Formulation for the Pricing of Barrier Options , 2013 .

[24]  P. Wilmott,et al.  Option pricing: Mathematical models and computation , 1994 .

[25]  S. Sanfelici.  Galerkin infinite element approximation for pricing barrier options and options with discontinuous payoff , 2004 .

[26]  C. Lo,et al.  Pricing Vulnerable European Options With Stochastic Default Barriers , 2007 .

[27]  Peter Linz,et al.  Numerical methods for Volterra integral equations of the first kind , 1969, Comput. J..

[28]  P. Ritchken.  On Pricing Barrier Options , 1995 .

[29]  Alexander Novikov,et al.  Time-Dependent Barrier Options and Boundary Crossing Probabilities , 2003 .

[30]  Aleksandar Mijatovic,et al.  Local time and the pricing of time-dependent barrier options , 2008, Finance Stochastics.

[31]  Phelim P. Boyle,et al.  Bumping Up Against the Barrier with the Binomial Method , 1994 .

[32]  M. Rodrigo,et al.  Approximate ordinary differential equations for the optimal exercise boundaries of American put and call options , 2013, European Journal of Applied Mathematics.

[33]  J. Hull.  Options, Futures, and Other Derivatives , 1989 .

[34]  Vadim Linetsky,et al.  Pricing Options on Scalar Diffusions: An Eigenfunction Expansion Approach , 2003, Oper. Res..

[35]  P. Forsyth,et al.  PDE methods for pricing barrier options , 2000 .

[36]  Leif B. G. Andersen,et al.  Static Replication of Barrier Options: Some General Results , 2000 .