References
- A. Alfonsi, High order discretization schemes for the CIR process: Application to affine term structure and Heston models, Math. Comput. 79(269) (2010), pp. 209–237.
- E. Alòs and C.O. Ewald, Malliavin differentiability of the Heston volatility and applications to option pricing, Adv. Appl. Probab. 40(1) (2008), pp. 144–162.
- E. Alòs, J.A. León, and J. Vives, On the short-time behavior for the implied volatility for jump-diffusion models with stochastic volatility, Finance Stochastics 11(4) (2007), pp. 571–598.
- E.Alòs, A decomposition formula for option prices in the Heston model and applications to option pricing approximation, Finance Stochastics. 16 (3) (2012), pp. 403–422.
- E. Alòs, R. De Santiago, and J. Vives, Calibration of stochastic volatility models via second order approximation: The Heston case, Int. J. Theor. Appl. Finance, 18(6) (2015), 1550036.
- C.A. Ball and A. Roma, Stochastic volatility option pricing, J. Financial Quant. Anal. 29 (1994), pp. 589–607.
- C. Bayer, P.K. Friz, and J. Gatheral, Pricing under rough volatility (2015). Available at http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2554754.
- L. Bergomi and J. Guyon, Stochastic volatility’s orderly smiles, Risk 25(5) (2012), pp. 60–66.
- T. Bollerslev and H.O. Mikkelsen, Modeling and pricing long memory in stock market volatility, J. Econometrics 73 (1996), pp. 151–184.
- F. Comte and E. Renault, Long memory in continous-time stochastic volatility models, Math. Finance 8(4) (1998), pp. 291–323.
- F. Comte, L. Coutin, and E. Renault, Affine fractional stochastic volatility models, Ann. Finance 8(2–3) (2012), pp. 337–378.
- S. Corlay, J. Levobits, and J. Lévy-Vehel, Multifractional stochastic volatility models, Math. Finance 24(2) (2014), pp. 364–402.
- M. Fukasawa, Asymptotic analysis for stochastic volatility: Martingale expansion, Finance Stochastics 15(4) (2011), pp. 635–654.
- J. Gatheral, T. Jaisson, and M. Rosenbaum, Volatility is rough, (2014). Available at arXiv:1410.3394 [q-fin.ST].
- S.L. Heston, A closed-form for options with stochastic volatility with applications to bond and currency options, Rev. Financial Stud. 6(2) (1993), pp. 327–343.
- J.C. Hull and A. White, The pricing of options on assets with stochastic volatilities, J. Finance 42 (1987), pp. 281–300.
- R.W. Lee, Implied volatility: Statics, dynamics, and probabilistic interpretation, in Recent Advances in Applied Probability, Springer, New York, 2005, pp. 241–268.
- D. Nualart, The Malliavin Calculus and Related Topics, Springer, Berlin, 2006.
- E. Renault and N. Touzi, Option hedging and implied volatilties in a stochastic volatility model, Math. Finance 6(3) (1996), pp. 279–302.
- S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Yverdon, 1993.
- E.M. Stein and J.C. Stein, Stock price distributions with stochastic volatility: An analytic approach, Rev. Financial Stud. 4 (1991), pp. 727–752.
- L.O. Scott, Option pricing when the variance changes randomly: Theory, estimation and application, J. Financial Quant. Anal. 22 (1987), pp. 419–438.
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