The Multinomial Option Pricing Model and Its Brownian and Poisson Limits
AbstractThe Cox, Ross, and Rubinstein binomial model is generalized to the multinomial case. Limits are investigated and shown to yield the Blacks-Scholes formula in the case of continuous sample paths for formula in the case of complete market structures. In the discontinuous case a Merton-type formula is shown to result, provided jump probabilities are replaced by their corresponding Arrow-Debreu prices. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.
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Bibliographic InfoArticle provided by Society for Financial Studies in its journal Review of Financial Studies.
Volume (Year): 2 (1989)
Issue (Month): 2 ()
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Other versions of this item:
- Frank Milne & Dilip Madan & Hersh Shefrin, 1990. "The Multinomial Option Pricing Model and Its Brownian and Poisson Limits," Working Papers 1162, Queen's University, Department of Economics.
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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