References
- F. Black and M. Scholes, The pricing of options and corporate liabilities, J. Political Econ. 81 (1973), pp. 637–654.
- Z. Buckova, M. Ehrhardt and M. Günther, Fichera theory and its application in finance, ECMI 2014: Progress in Industrial Mathematics at ECMI 2014, Vol. 22, Springer, Berlin, 2014. pp. 103–111.
- J. Butcher, Numerical Methods for Ordinary Differential Equations, 3rd ed., New York: John Wiley & Sons, 2016.
- J. C. Cox, J. E. Ingersoll and S. A. Ross, A theory of the term structure of interest rates, Econometrica 53 (1985), pp. 385–407.
- J. Cvitanić and I. Karatzas, Hedging and portfolio optimization under transaction costs: A martingale approach, Math. Financ. 6 (1996), pp. 133–165.
- J. Gatheral, The Volatility Surface: A Practitioner's Guide, New York: John Wiley & Sons, 2011.
- E. Grannan and G. Swindle, Minimizing transaction costs of option hedging strategies, Math. Financ. 6 (1996), pp. 341–364.
- S. Heston, A closed-form solution for options with stochastic volatility with applications to bond and currency options, Rev. Financ. Stud. 6 (1993), pp. 327–343.
- S. Hodges and A. Neuberger, Optimal replication of contingent claims under transaction costs, Rev. Futures Markets 8 (1989), pp. 222–239.
- Y. Kabanov and M. Safarian, On Leland's strategy of option pricing with transactions costs, Financ. Stoch. 1 (1997), pp. 239–250.
- H. Leland, Option pricing and replication with transactions costs, J. Financ. 40 (1985), pp. 1283–1301.
- H. Leland, Comments on “Hedging errors with Leland's option model in the presence of transactions costs”, Finance Res. Lett. 4 (2007), pp. 200–202.
- E Lépinette, Marché avec côuts de transaction: Approximation de Leland et arbitrage, These doctorale, Université de Franche-Comté, Besançon, 2008.
- E Lépinette, Leland's approximations for concave pay-off functions, Tech. Rep., Paris Dauphine University, 2009.
- M.C. Mariani, I. SenGupta and G. Sewell, Numerical methods applied to option pricing models with transaction costs and stochastic volatility, Quantitative Financ. 15 (2015), pp. 1417–1424.
- T.H. Nguyen and S. Pergamenschchikov, Approximate hedging with proportional transaction costs in stochastic volatility models with jumps, Preprint (2015). Available at arXiv:1505.02627.
- T.H. Nguyen and S. Pergamenshchikov, Approximate hedging problem with transaction costs in stochastic volatility markets, Math. Financ. 27 (2017), pp. 832–865.
- I. SenGupta, Option pricing with transaction costs and stochastic interest rate, Appl. Math. Financ.21 (2014), pp. 399–416.
- S.E Shreve, Stochastic Calculus for Finance II: Continuous-time Models, New York: Springer, 2004.
- B Wang, Option pricing under the Heston-CIR model with stochastic interest rates and transaction costs, Master's thesis, Auckland University of Technology, New Zealand, 2019.
- Y. Zhao and W. Ziemba, Comments on and corrigendum to “Hedging errors with Leland's option model in the presence of transaction costs”, Financ. Res. Lett. 4 (2007), pp. 196–199.
- Y. Zhao and W. Ziemba, Hedging errors with Leland's option model in the presence of transaction costs, Financ. Res. Lett. 4 (2007), pp. 49–58.