Hierarchical adaptive sparse grids and quasi-Monte Carlo for option pricing under the rough Bergomi model
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[1] Domenico Marinucci,et al. Alternative forms of fractional Brownian motion , 1998 .
[2] R. Cools,et al. A Belgian view on lattice rules , 2008 .
[3] Mikko S. Pakkanen,et al. Turbocharging Monte Carlo pricing for the rough Bergomi model , 2017, 1708.02563.
[4] Raul Tempone,et al. Smoothing the payoff for efficient computation of Basket option prices , 2016 .
[5] M. Rosenbaum,et al. The characteristic function of rough Heston models , 2016, 1609.02108.
[6] L. Coutin. An Introduction to (Stochastic) Calculus with Respect to Fractional Brownian Motion , 2007 .
[7] Paul Glasserman,et al. Monte Carlo Methods in Financial Engineering , 2003 .
[8] D. Talay,et al. Expansion of the global error for numerical schemes solving stochastic differential equations , 1990 .
[9] Jorge A. León,et al. On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility , 2006, Finance Stochastics.
[10] Jim Gatheral,et al. Pricing under rough volatility , 2015 .
[11] A. Owen,et al. Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension , 1997 .
[12] B. Mandelbrot,et al. Fractional Brownian Motions, Fractional Noises and Applications , 1968 .
[13] N. Touzi,et al. Contingent Claims and Market Completeness in a Stochastic Volatility Model , 1997 .
[14] L. Bergomi. Smile Dynamics IV , 2009 .
[15] I. Sloan. Lattice Methods for Multiple Integration , 1994 .
[16] H. Bungartz,et al. Sparse grids , 2004, Acta Numerica.
[17] Mathieu Rosenbaum,et al. Perfect hedging in rough Heston models , 2017, The Annals of Applied Probability.
[18] Hongzhong Zhang,et al. Asymptotics for Rough Stochastic Volatility Models , 2017, SIAM J. Financial Math..
[19] A. Jacquier,et al. Functional Central Limit Theorems for Rough Volatility , 2017, 1711.03078.
[20] Paul Gassiat,et al. A regularity structure for rough volatility , 2017, Mathematical Finance.
[21] Jim Gatheral,et al. Affine forward variance models , 2018, Finance and Stochastics.
[22] Raul Tempone,et al. Multi-Index Stochastic Collocation for random PDEs , 2015, 1508.07467.
[23] Masaaki Fukasawa,et al. Asymptotic analysis for stochastic volatility: martingale expansion , 2011, Finance Stochastics.
[24] Claude Martini,et al. On VIX futures in the rough Bergomi model , 2017, 1701.04260.
[25] B. Øksendal,et al. Stochastic Calculus for Fractional Brownian Motion and Applications , 2008 .
[26] Eduardo Abi Jaber,et al. Lifting the Heston model , 2018, Quantitative Finance.
[27] R. Caflisch,et al. Smoothness and dimension reduction in Quasi-Monte Carlo methods , 1996 .
[28] Mikko S. Pakkanen,et al. Hybrid scheme for Brownian semistationary processes , 2015, Finance Stochastics.
[29] Mikko S. Pakkanen,et al. Decoupling the Short- and Long-Term Behavior of Stochastic Volatility , 2016, 1610.00332.
[30] Mark Podolskij,et al. Fact or Friction: Jumps at Ultra High Frequency , 2014 .
[31] Jean Picard,et al. Representation formulae for the fractional Brownian motion , 2009, 0912.3168.
[32] Martin Larsson,et al. Affine Volterra processes , 2017, The Annals of Applied Probability.
[33] Ken Seng Tan,et al. Minimizing Effective Dimension Using Linear Transformation , 2004 .
[34] P. Glasserman,et al. A Comparison of Some Monte Carlo and Quasi Monte Carlo Techniques for Option Pricing , 1998 .
[35] Dirk Nuyens. The construction of good lattice rules and polynomial lattice rules , 2014, Uniform Distribution and Quasi-Monte Carlo Methods.
[36] Pierre Bajgrowicz,et al. Jumps in High-Frequency Data: Spurious Detections, Dynamics, and News , 2015, Manag. Sci..
[37] Andreas Neuenkirch,et al. The Order Barrier for Strong Approximation of Rough Volatility Models , 2016 .
[38] Antoine Jacquier,et al. Pathwise large deviations for the rough Bergomi model , 2017, Journal of Applied Probability.
[39] Russel E. Caflisch,et al. Quasi-Random Sequences and Their Discrepancies , 1994, SIAM J. Sci. Comput..
[40] M. Rosenbaum,et al. Volatility is rough , 2014, 1410.3394.
[41] C. Bayer,et al. Short-time near-the-money skew in rough fractional volatility models , 2017, Quantitative Finance.