论文信息 - Roughening Heston

Roughening Heston

Rough volatility models are known to fit the volatility surface remarkably well with very few parameters. On the other hand, the classical Heston model is highly tractable allowing for fast calibration. We present here the rough Heston model which offers the best of both worlds. Even better, we find that we can accurately approximate rough Heston model values by scaling the volatility of volatility parameter of the classical Heston model.

M. Rosenbaum | Jim Gatheral | Omar El Euch

[1] P. Carr,et al. Option valuation using the fast Fourier transform , 1999 .

[2] Alan D. Freed,et al. Detailed Error Analysis for a Fractional Adams Method , 2004, Numerical Algorithms.

[3] L. Bergomi. Smile Dynamics II , 2005 .

[4] Jim Gatheral. The Volatility Surface: A Practitioner's Guide , 2006 .

[5] M. Rosenbaum,et al. Volatility is rough , 2014, 1410.3394.

[6] Jim Gatheral,et al. Pricing under rough volatility , 2015 .

[7] M. Fukasawa. Short-time at-the-money skew and rough fractional volatility , 2015, 1501.06980.

[8] M. Rosenbaum,et al. The characteristic function of rough Heston models , 2016, 1609.02108.

[9] Mikko S. Pakkanen,et al. Hybrid scheme for Brownian semistationary processes , 2015, Finance Stochastics.

[10] Mathieu Rosenbaum,et al. Perfect hedging in rough Heston models , 2017, The Annals of Applied Probability.

[11] Jim Gatheral,et al. Exponentiation of conditional expectations under stochastic volatility , 2018, Quantitative Finance.

[12] Mathieu Rosenbaum,et al. The microstructural foundations of leverage effect and rough volatility , 2018, Finance Stochastics.

[13] Callegaro Giorgia,et al. Rough but not so Tough: Fast Hybrid Schemes for Fractional Riccati Equations , 2018 .

[14] Jim Gatheral,et al. Rational Approximation of the Rough Heston Solution , 2019 .

[15] Omar El Euch,et al. Multifactor Approximation of Rough Volatility Models , 2018, SIAM J. Financial Math..