A robust numerical technique and its analysis for computing the price of an Asian option
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References
[1]
Ingersoll J., Theory of Financial Decision Making, Roman & Littlefield, Totowa, New Jersey, 1987.
[2]
Wilmottm P., Dewynne J., Howison S., Option Pricing: Mathematical Models and Computation, Oxford Financial Press, Oxford,UK, 1993.
[3]
Rogers L.C.G., Shi Z., The value of an Asian option, J. Appl. Probab. 32 (1995) 1077–1088.
[4]
Geman H., Yor M., Bessel processes Asian options and perpetuities, Math. Finance 3 (1993) 349–375.
[5]
Kumar A., Tripathi L.P., Kadalbajoo M.K., A numerical study of Asian option with radial basis functions based finite differences method, Eng. Anal. Bound. Elem. 50 (2015) 1–7.
[6]
Cen Z., Xu A., Le A., A hybrid finite difference scheme for pricing Asian options, Appl. Math. Comput. 252 (2015) 229–239.
[7]
Dubois F., Lelièvre T., Efficient pricing of asian options by the PDE approach, J. Comput. Finance 8 (2004) 55–64.
[8]
Cen Z., Le A., Xu A., Finite difference scheme with a moving mesh for pricing Asian options, Appl. Math. Comput. 219 (2013) 8667–8675.
[9]
Mudzimbabwe W., Patidar K.C., Witbooi P.J., A reliable numerical method to price arithmetic Asian options, Appl. Math. Comput. 218 (2012) 10934–10942.
[10]
Hugger J., A fixed strike Asian option and comments on its numerical solution, ANZIAM J. 45 (2003) 215–231.
[11]
Kemna A.G.Z., Vorst A.C.F., A pricing method for options based on average asset values, J. Bank. Financ. 14 (1990) 113–129.
[12]
Lapeyre B., Temam E., Competitive Monte Carlo methods for the pricing of Asian options, J. Comput. Finance 5 (2001) 39–59.
[13]
Lax P.D., Richtmyer R.D., Survey of the stability of linear finite difference equations, Comm. Pure Appl. Math. 9 (1956) 267–293.
[14]
McCartin B.J., Theory of exponential splines, J. Approx. Theory 66 (1) (1991) 1–23.
[15]
Koch P.E., Lyche T., Exponential B-splines in tension, in: Approximation Theory VI, II, College Station, TX, 1989, Academic Press, Boston, MA, 1989, pp. 361–364.
[16]
Ryaben’kii V.S., Tsynkov S.V., A Theoretical Introduction to Numerical Analysis, Chapman and Hall/CRC, Boca Raton, 2006.
[17]
Rao S.C.S., Kumar M., Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems, Appl. Numer. Math. 58 (2008) 1572–1581.
[18]
Henrici P., Discrete Variable Methods in Ordinary Differential Equations, John Wiley and Sons, New York, USA, 1962.
[19]
Večeř J., A new PDE approach for pricing arithmetic average Asian options, J. Comput. Finance 4 (2001) 105–113.
[20]
Zvan R., Forsyth P.A., Vetzal K., Robust numerical methods for PDE models of Asian options, J. Comput. Finance 2 (1998) 39–78.
[21]
Thompson G.W.P., Fast Narrow Bounds on the Value of Asian Options, Judge Institute of Management, University of Cambridge, Cambridge, UK, 1999.
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Elsevier B.V.
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Elsevier Science Publishers B. V.
Netherlands
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Published: 15 December 2022
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