Exact Barrier Option Valuation with Arbitrary Functions for the Volatility
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Black, F. and Scholes, M., The pricing of options and corporate liabilities. J. of Political Economy, 1973, 81, 637–654.
Cox, J. and Ross, S., The valuation of options for alternative stochastic processes. Journal of Financial Economics, 1976, 3, 145–166.
Derman, E. and Kani, I., The ins and outs of barrier options: Part 1. Derivatives Quarterly, 1996, 55–67.
Harisson, J.M. and Plyska, S.R., Martingales and stochastic integrals in the theory of continuous trading. Stoch. Processes and their Applicatons, 1981, 11, 215–280.
Heston, S. L., A closed-form solution for options with stochastic volatility with applications to bond and currency options. The review of Financial Studies, 1993, 6, 327–343.
Heynen, R. and Kat, H., Crossing the barrier. Risk, 1994, 7, 46–51.
Heynen, R. and Kat, H., Partial barrier options. Journal of Financial Eneneering, 1994, 3, 253–274.
Karatzas, I. and Shreve, S.E., Brownian Motion and Stochastic Calculus, Second Edition, 1991 (Springer).
Kolkiewicz, A.W., Pricing and hedging more general barrier options. J. of Computational Finance, 2002, 5, 1–26.
Kunitomo, N. and Ikeda, M., Pricing options with curved boundaries. Mathematical Finance, 1992, 2, 275–298.
Kwok, Y., Wu, L. and Yu, H., Pricing multi-asset options with an external barrier. International Journal of Theoretical and Applied Finance, 1998, 1, 523–541.
Kwok, Y., Mathematical Models of Financial Derivatives, Second Edition, 2008 (Springer).
Lo, C.F., Lee, H.C. and Hui, C.H., A simple approach for pricing barrier options with time-dependent parameters. Quant. Finance, 2003, 3, 98–107.
Lo, C.F., Tang, H.M., Ku, K.C. and Hui, C.H., Valuing time-dependent CEV barrier options. J. of Applied Mathematics and Decision Sciences, 2009, 1–17.
Lo, C.F., Yuen, P.H. and Hui, C.H., Constant elasticity of variance option pricing model with time-dependent parameters. International Journal of Theoretical and Applied Finance, 2000, 3, 661–674.
Luo, L.S.J., Various types of double-barrier options. J. of Computational Finance, 2001, 4, 125–138.
Merton, R.C., The theory of rational option pricing. Bell J. of Economics and Management Sciences, 1973, 4, 141–183.
Rich, D.R., The Mathematical Foundations of Barrier Option-Pricing Theory. Advances in Futures and Options Research, 1994, 7, 267–311.
Roberts, G. and Shortland, C., Pricing barrier options with time-dependent coefficients. Mathematical Finance, 1997, 7, 83–93.
Rubinstein, M.; Reiner, E., Breaking down the barriers. Risk, 1991, 8, 28–35.
Shreve, S.E., Stochastic Calculus for Finance II, 2004 (Springer).
DOI: https://doi.org/10.5540/tema.2015.016.01.0061
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