An improved binomial method for pricing Asian options
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We present an improved binomial method for pricing Euro-pean- and American-type Asian options based on the arithmetic average of the prices of the underlying asset. At each node of the tree we propose a simple algorithm to choose the representative averages among all the effective averages. Then the backward valuation process and the interpolation are performed to compute the price of the option. The simulation results for European and American Asian options show that the proposed method gives much more accurate price than other recent lattice methods with less computational effort.
Abstract
We present an improved binomial method for pricing Euro-pean- and American-type Asian options based on the arithmetic average of the prices of the underlying asset. At each node of the tree we propose a simple algorithm to choose the representative averages among all the effective averages. Then the backward valuation process and the interpolation are performed to compute the price of the option. The simulation results for European and American Asian options show that the proposed method gives much more accurate price than other recent lattice methods with less computational effort.
참고문헌 (16)
- F. Black, "The pricing of options and corporate liabilities", The Journal of Political Economy, 81(3), pp.637~654 (1973)
- M. Costabile, "An adjusted binomial model for pricing Asian options", Rev Quant Finan Acc, 27, pp.285~296 (2006)
- J. Cox, "Option pricing: A simpli ed approach", Journal of Financial Economics, 7, pp.229~263 (1979)
- M. Curran, "Beyond average intelligence", Risk, 5(10), pp.60~ (1992)
- P. A. Forsyth, "Convergence of numerical methods for valuing path-dependent options using interpolation", Rev Derivatives Res, 5, pp.273~314 (2002)
- P. Glasserman, "Monte Carlo Methods in Financial Engineering" (2004), Springer-Verlag
- E. G. Haug, "The Complete Guide to Option Pricing Formulas" (2007), McGraw-Hill
- J. Hull, "Ecient procedures for valuing European and American path- dependent options", Journal of Derivatives, 1, pp.21~31 (1993)
- A. Kemna, "A pricing method for options based on average asset values", Journal of Banking and Finance, 14, pp.113~129 (1990)
- T. R. Klassen, "Simple, fast, and exible pricing of Asian options", Journal of Computa- tional Finance, 4, pp.89~124 (2001)
- E. Levy, "Pricing European average rate currency options", Journal of International Money and Finance, 11, pp.474~491 (1992)
- L. C. G. Rogers, "The value of an Asian option", Journal of Applied Probability, 32, pp.1077~1088 (1995)
- L. Sankarasubramanian, "The valuation of path dependent contracts on the average", Management Science, 39, pp.1202~1213 (1991)
- S. M. Turnbull, "A quick algorithm for pricing European average options", Journal of Financial and Quantitative Analysis, 26, pp.377~389 (1991)
- T. Vorst, "Prices and hedge ratios of average exchange rate options", International Review of Financial Analysis, 1, pp.179~193 (1992)
- R. Zvan, "Robust numerical methods for pde models of Asian options", Journal of Computational Finance, 1, pp.39~78 (1998)