Efficient Monte Carlo Pricing of Basket Options
Montecarlo methods can be used to price derivatives for which closed evaluation formulas are not available or difficult to derive. A drawback of the method can be its high computational cost, especially if applied to basket options, whose payoffs depend on more than one asset. This article presents two kinds of control variates to reduce variance of estimates, based on unconditional and conditional expectations of assets respectively. We apply the previous variance reduction methods to some basket options (Spread, Dual and Portfolio options), achieving in some case remarkable speed and accuracy in price estimation.
|Date of creation:||16 Jan 1998|
|Date of revision:|
|Note:||Type of Document - Tex (OzTex for Mac); prepared on Macintosh 6100; to print on PostScript; pages: 10; figures: 1 (included)|
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- Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-86, March.
- Kemna, A. G. Z. & Vorst, A. C. F., 1990. "A pricing method for options based on average asset values," Journal of Banking & Finance, Elsevier, vol. 14(1), pages 113-129, March.
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- Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
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