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- W1578032684 abstract "The security dynamics described by the Black-Scholes equation with price-dependent variance can be approximated as a damped discrete-time hopping process on a recombining binomial tree. In a previous working paper, such a nonuniform tree was explicitly constructed in terms of the continuous-time variance. The present note outlines how the previous procedure could be extended to multifactor Black-Scholes with price- and time-dependent coefficients. The basic idea is to derive new coordinates which give a Black-Scholes equation with all the sigmas equal to unity. In the discrete-time tree coresponding to this equation, nodes are uniformly spaced and the hopping probabilities are not constant. When the new coordinates are mapped back onto prices, the ensuing tree is nonuniform. A derivative can be valued with the new coordinates or the original prices." @default.
- W1578032684 created "2016-06-24" @default.
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- W1578032684 date "1997-06-02" @default.
- W1578032684 modified "2023-09-27" @default.
- W1578032684 title "Multifactor Generalization of Discount-Bond Derivatives on a Recombining Binomial Tree" @default.
- W1578032684 hasPublicationYear "1997" @default.
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