Calibration of a Hybrid Local-Stochastic Volatility Stochastic Rates Model with a Control Variate Particle Method
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Christoph Reisinger | Andrei Cozma | Matthieu Mariapragassam | C. Reisinger | Matthieu Mariapragassam | A. Cozma
[1] D. Hunter. Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension , 2000 .
[2] Paul Glasserman,et al. Monte Carlo Methods in Financial Engineering , 2003 .
[3] Maarten Wyns. Convergence analysis of the Modified Craig-Sneyd scheme for two-dimensional convection-diffusion equations with nonsmooth initial data , 2015 .
[4] Tübinger Diskussionsbeiträge. Stochastic volatility with an Ornstein-Uhlenbeck process: An extension , 2014 .
[5] Sabine Fenstermacher,et al. Numerical Approximation Of Partial Differential Equations , 2016 .
[6] Peter A. Forsyth,et al. Convergence remedies for non-smooth payoffs in option pricing , 2003 .
[7] Cornelis W. Oosterlee,et al. The Heston Stochastic-Local Volatility Model: Efficient Monte Carlo Simulation , 2013 .
[8] Cornelis W. Oosterlee,et al. On the Heston Model with Stochastic Interest Rates , 2010, SIAM J. Financial Math..
[9] S. Aachen. Stochastic Differential Equations An Introduction With Applications , 2016 .
[10] S. Heston. A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options , 1993 .
[11] Linwood F. Tice. Let’s be Rational , 1955 .
[12] Julien Guyon,et al. Nonlinear Option Pricing , 2013 .
[13] Cornelis W. Oosterlee,et al. A novel Monte Carlo approach to hybrid local volatility models , 2016 .
[14] Fabien Le Floc’h,et al. TR-BDF2 for Stable American Option Pricing , 2010 .
[15] Damiano Brigo,et al. A deterministic–shift extension of analytically–tractable and time–homogeneous short–rate models , 2001, Finance Stochastics.
[16] Christoph Reisinger,et al. Convergence of an Euler Scheme for a Hybrid Stochastic-Local Volatility Model with Stochastic Rates in Foreign Exchange Markets , 2015, SIAM J. Financial Math..
[17] Rainer Storn,et al. Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..
[18] Thomas F. Coleman,et al. On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds , 1994, Math. Program..
[19] H. McKean,et al. A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS , 1966, Proceedings of the National Academy of Sciences of the United States of America.
[20] Frédéric Abergel,et al. A nonlinear partial integro-differential equation from mathematical finance , 2010 .
[21] École d'été de probabilités de Saint-Flour,et al. Ecole d'été de probabilités de Saint-Flour XIX, 1989 , 1991 .
[22] Jacques Du Toit,et al. A finite volume – alternating direction implicit approach for the calibration of stochastic local volatility models , 2016, Int. J. Comput. Math..
[23] Antoon Pelsser,et al. Pricing Long-Maturity Equity and FX Derivatives with Stochastic Interest Rates and Stochastic Volatility , 2005 .
[24] P. Dierckx. An algorithm for surface-fitting with spline functions , 1981 .
[25] S. Ross,et al. A theory of the term structure of interest rates'', Econometrica 53, 385-407 , 1985 .
[26] Iain J. Clark. Foreign Exchange Option Pricing: A Practitioner's Guide , 2011 .
[27] K. Hamza,et al. Calibrating and Pricing with a Stochastic-Local Volatility Model , 2015, The Journal of Derivatives.
[28] Brian Gough,et al. GNU Scientific Library Reference Manual - Third Edition , 2003 .
[29] C. D. Kemp,et al. Density Estimation for Statistics and Data Analysis , 1987 .
[30] Vladimir V. Piterbarg,et al. Moment explosions in stochastic volatility models , 2005, Finance and Stochastics.
[31] D. Brigo,et al. Interest Rate Models , 2001 .
[32] Rehez Ahlip,et al. Pricing of foreign exchange options under the Heston stochastic volatility model and CIR interest rates , 2013 .
[33] M. Giles,et al. Convergence analysis of Crank-Nicolson and Rannacher time-marching , 2006 .
[34] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .
[35] Griselda Deelstra,et al. Local Volatility Pricing Models for Long-Dated FX Derivatives , 2010 .
[36] Thomas F. Coleman,et al. An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds , 1993, SIAM J. Optim..
[37] C. S. L. de Graaf,et al. Efficient exposure computation by risk factor decomposition , 2016, 1608.01197.
[38] V. Lucic. Boundary conditions for computing densities in hybrid models via PDE methods , 2008 .
[39] Leif Andersen. Simple and efficient simulation of the Heston stochastic volatility model , 2008 .