Fetching the paper…
Reading the bibliography…
We develop a product functional quantization of rough volatility.
Luke, Y.L. (1969): The special functions and their approximations
1969
Earlier work this paper cites.
Gersho, A. and Gray, R.M. (1992): Vector Quantization and signal compression , New York, Kluwer Academic Publishers
1992
Earlier work this paper cites.
Chow, Y.S. and Teichner E. (1997): Probability Theory , Springer Texts in Statistics, New York, Springer-Verlag
1997
Earlier work this paper cites.
Olver, F.W.J. (1997): Asymptotics and special functions , 2nd Edition, A.K. Peters / CRC Press
1997
Earlier work this paper cites.
Kallenberg, O. (2002): Foundations of Modern Probability , 2nd edition, Probability and Its Applications, New York, Springer-Verlag
2002
Earlier work this paper cites.
Luschgy, H. and Pagès, G. (2002): Functional quantization of Gaussian processes , Journal of Functional Analysis, 196(2), pp. 486-531
2002
Earlier work this paper cites.
Steele, J. M. (2004): The Cauchy-Schwarz Master-Class , Cambridge University Press
2004
Earlier work this paper cites.
Bergomi; L. (2005); Smile dynamics II , Risk, pp. 67-73
2005
Earlier work this paper cites.
Pagès, G. and Printems, J. (2005): Functional quantization for numerics with an application to option pricing , Monte Carlo Methods and Applications, 11(4), pp. 407-446
2005
Earlier work this paper cites.
Pagès, G. (2007): Quadratic optimal functional quantization of stochastic processes and numerical applications , Monte Carlo and Quasi-Monte Carlo Methods 2006, Springer, Berlin Heidelberg, pp. 101-142
2006
Earlier work this paper cites.
Picard, J.(2011): Representation formulae for the fractional Brownian motion , Séminaire de Probabilités XLIII. Lecture Notes in Mathematics, 2006, Springer-Verlag, Berlin Heidelberg, pp. 3-70
2006
Earlier work this paper cites.
Adler, R.J. and Taylor, J.E. (2007): Random Fields and Geometry , Springer Monographs in Mathematics, New York, Springer-Verlag
2007
Earlier work this paper cites.
Alòs, E.; León, J. A. and Vives J. (2007): On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility , Finance and Stochastics, 11(4), pp. 571-589
2007
Earlier work this paper cites.
Graf, S. and Luschgy., H. (2007): Foundations of quantization for probability distributions , Lecture Notes in Mathematics, 1730, Berlin Heidelberg, Springer
2007
Cited alongside, same era.
Luschgy, H. and Pagès, G. (2007): High-resolution product quantization for Gaussian processes under sup-norm distortion , Bernoulli, 13(3), pp. 653-671
2007
Cited alongside, same era.
Gatheral, J. (2008): Consistent modelling of SPX and VIX options , Presentation, Bachelier Congress, London
2008
Cited alongside, same era.
2009
Cited alongside, same era.
Corlay, S. (2011): Quelques aspects de la quantification optimale, et applications en finance (in English, with French summary), PhD Thesis, Université Pierre et Marie Curie
Jacquier, A.; Pakkanen, M. S. and Stone, H. (2018): Pathwise large deviations for the rough Bergomi model , Journal of Applied Probability, 55(4), pp. 1078-1092
2018
Later among the works it cites.
Jacquier, A.; Martini, C. and Muguruza, A. (2018): On VIX Futures in the rough Bergomi model , Quantitative Finance, 18(1), pp. 45-61
2018
Later among the works it cites.
McCrickerd, R. and Pakkanen, M.S. (2018): Turbocharging Monte Carlo pricing for the rough Bergomi model , Quantitative Finance, 18(11), pp. 1877-1886
2018
Later among the works it cites.
Abi Jaber, E. and El Euch, O. (2019): Multifactor approximation of rough volatility models , SIAM Journal on Financial Mathematics, 10(2), pp. 309-349
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
Fukasawa, M. (2011): Asymptotic analysis for stochastic volatility: martingale expansion , Finance and Stochastics, 15(4), pp. 635-654
2011
Cited alongside, same era.
Carr, P.P. and Madan, D.B. (2014): Joint modeling of VIX and SPX options at a single and common maturity with risk management applications , IIE Transactions, 46(11), pp. 1125-1131
2014
Cited alongside, same era.
Karp, D.B. (2015): Representations and inequalities for generalized Hypergeometric functions
2015
Cited alongside, same era.
Kokholm, T. and Stisen, M. (2015): Joint pricing of VIX and SPX options with stochastic volatility and jump models , Journal of Risk Finance, 16(1), pp. 27-48
2015
Cited alongside, same era.
Bayer, C.; Friz, P.K. and Gatheral, J. (2016): Pricing under rough volatility , Quantitative Finance, 16(6), pp. 887-904
2016
Cited alongside, same era.
Bennedsen, M.; Lunde, A. and Pakkanen, M.S. (2017): Hybrid scheme for Brownian semistationary processes , Finance and Stochastics, 21, pp. 931-965
2017
Cited alongside, same era.
Gatheral, J.; Jaisson, T. and Rosenbaum, M. (2018): Volatility is rough , Quantitative Finance, 18(6), pp. 933-949
2018
Cited alongside, same era.
2019
Later among the works it cites.
Bayer, C.; Hammouda, C.B. and Tempone, R. (2020): Hierarchical adaptive sparse grids and quasi Monte Carlo for option pricing under the rough Bergomi model , Quantitative Finance, 20(9), pp. 1457-1473
2020
Later among the works it cites.
Horvath, B.; Jacquier, A. and Tankov P. (2020): Volatility options in rough volatility models , SIAM Journal on Financial Mathematics, 11(2)
2020
Later among the works it cites.
Chen, W.; Langrené, N.; Loeper, G. and Zhu Q. (2021): Markovian approximation of the rough Bergomi model for Monte Carlo option pricing , Mathematics, 9(5), pp. 528
2021
Closest in time.
Fukasawa, M.; Takabatake, T. and Westphal, R. (2021): Is volatility rough? , Mathematical Finance, to appear
2021
Closest in time.
Fukasawa, M. (2021): Volatility has to be rough , Quantitative Finance, 21, pp. 1-8
2021
Closest in time.
2022
Closest in time.