References
- E. Alòs, A generalization of the Hull and White formula with applications to option pricing approximation, Financ. Stoch. 10(3) (2006), pp. 353–365.
- L.B.G. Andersen, Efficient simulation of the Heston stochastic volatility model, 2007. Available at SSRN 946405.
- F. Antonelli, A. Ramponi, and S. Scarlatti, Exchange option pricing under stochastic volatility: A correlation expansion, Rev. Deriv. Res. 13(1) (2010), pp. 45–73.
- F. Antonelli and S. Scarlatti, Pricing options under stochastic volatility: a power series approach, Financ. Stoch. 13(2) (2009), pp. 269–303.
- E. Benhamou, E. Gobet, and M. Miri, Time-dependent Heston model, SIAM J. Financ. Math. 1(1) (2010), pp. 289–325.
- F. Black and M. Scholes, The pricing of options and corporate liabilities, J. Polit. Econ. 81(3) (1973), pp. 637–654.
- L.P. Bloomberg, USD/JPY FX option price data: Expiries 1, 3, 6, 12 months, notional 1000000, 2018. Retrieved July 09, 2018 from Bloomberg Terminal.
- P. Carr and D. Madan, Option valuation using the fast Fourier transform, J. Comput. Financ. 2(4) (1999), pp. 61–73.
- P. Carr and S. Willems, A lognormal type stochastic volatility model with quadratic drift, preprint (2019). Available at arXiv:1908.07417.
- P. Christoffersen, K. Jacobs, and K. Mimouni, Volatility dynamics for the S&P500: Evidence from realized volatility, daily returns, and option prices, Rev. Financ. Stud. 23(8) (2010), pp. 3141–3189.
- I.J.. Clark, Foreign Exchange Option Pricing: A Practitioner's Guide, John Wiley & Sons, Chichester, West Sussex, 2011.
- J. Da Fonseca and M. Grasselli, Riding on the smiles, Quant. Financ. 11(11) (2011), pp. 1609–1632.
- K. Das, Mixing_solution_CFA, 2021. https://doi.org/https://doi.org/10.5281/zenodo.5232719
- G.G. Drimus, Closed-form convexity and cross-convexity adjustments for Heston prices, Quant. Financ.11(8) (2011), pp. 1137–1149.
- M.P.S. Gander and D.A. Stephens, Stochastic volatility modelling in continuous time with general marginal distributions: Inference, prediction and model selection, J. Statist. Plann. Inference 137(10) (2007), pp. 3068–3081.
- J. Gatheral, The Volatility Surface: A Practitioner's Guide, Vol. 357, John Wiley & Sons, Hoboken, NJ, 2011.
- P.S. Hagan, D. Kumar, A.S. Lesniewski, and D.E. Woodward, Managing smile risk, Wilmott Mag. 1 (2002), pp. 84–108.
- S.L. Heston, A closed-form solution for options with stochastic volatility with applications to bond and currency options, Rev. Financ. Stud. 6(2) (1993), pp. 327–343.
- J. Hull and A. White, The pricing of options on assets with stochastic volatilities, J. Financ. 42(2) (1987), pp. 281–300.
- T.R. Hurd and A. Kuznetsov, Explicit formulas for Laplace transforms of stochastic integrals, Markov Process. Relat. Fields 14(2) (2008), pp. 277–290.
- A. Kaeck and C. Alexander, Volatility dynamics for the S&P 500: Further evidence from non-affine, multi-factor jump diffusions, J. Banking Financ. 36(11) (2012), pp. 3110–3121.
- C. Kahl and P. Jäckel, Fast strong approximation Monte Carlo schemes for stochastic volatility models, Quant. Financ. 6(6) (2006), pp. 513–536.
- P.E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations, Vol. 23, Springer Science & Business Media, Berlin, 2013.
- N. Langrené, G. Lee, and Z. Zhu, Switching to non-affine stochastic volatility: A closed-form expansion for the inverse-Gamma model, Int. J. Theoret. Appl. Financ. 19(5) (2016), pp. 1650031.
- A.L. Lewis, Option valuation under stochastic volatility with mathematica code, Int. Rev. Econ. Financ. 11(3) (2002), pp. 331–333.
- A.L. Lewis, Exact solutions for a GBM-type stochastic volatility model having a stationary distribution, Wilmott Mag. 101 (2019), pp. 20–41.
- P-L. Lions and M. Musiela, Correlations and bounds for stochastic volatility models, Annales De L'Institut Henri Poincaré C, Analyse Non Linéaire 24(1) (2007), pp. 1–16.
- M. Lorig, S. Pagliarani, and A. Pascucci, Explicit implied volatilities for multifactor local-stochastic volatility models, Math. Financ. 27(3) (2017), pp. 926–960.
- S. Mikhailov and U. Nögel, Heston's Stochastic Volatility Model: Implementation, Calibration and Some Extensions, Wilmott Magazine. 4, (2004), pp. 74–79.
- D.B. Nelson, ARCH models as diffusion approximations, J. Econometrics 45(1–2) (1990), pp. 7–38.
- A. Ribeiro and R. Poulsen, Approximation behoves calibration, Quant. Financ. Lett. 1(1) (2013), pp. 36–40.
- M. Romano and N. Touzi, Contingent claims and market completeness in a stochastic volatility model, Math. Financ. 7(4) (1997), pp. 399–412.
- R. Schöbel and J. Zhu, Stochastic volatility with an Ornstein–Uhlenbeck process: an extension, Rev. Financ. 3(1) (1999), pp. 23–46.
- A.W. Van der Stoep, L.A. Grzelak, and C.W. Oosterlee, The Heston stochastic-local volatility model: Efficient Monte Carlo simulation, Int. J. Theor. Appl. Financ. 17(07) (2014), pp. 1450045.
- G. Willard, Calculating prices and sensitivities for path-independent derivative securities in multifactor models, J. Deriv. 5(1) (1997), pp. 45–61.
- T. Yamada and S. Watanabe, On the uniqueness of solutions of stochastic differential equations, J. Math. Kyoto University 11(1) (1971), pp. 155–167.