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Integral Representations for the Price of Vanilla Put Options on a Basket of Two-Dividend Paying Stocks
Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria
Department of Mathematics, University of Ibadan, Ibadan, Nigeria
- 1 Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria
- 2 Department of Mathematics, University of Ibadan, Ibadan, Nigeria
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Abstract
This paper presents integral representations for the price of vanilla put options, namely, European and American put options on a basket of two-dividend paying stocks using integral method based on the double Mellin transform. We show that by the decomposition of the integral equation for the price of American basket put option, the integral equation for the price of European basket put option can be obtained directly.
KeywordsBlack-Scholes Partial differential EquationDouble Mellin TransformEarly Exercise PremiumVanilla Basket Put Option
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