多项期权定价模型及其布朗运动和泊松极限

The Multinomial Option Pricing Model and Its Brownian and Poisson Limits

Review of Financial Studies · 1989
被引 78
人大 AFT50UTD24ABS 4*

中文导读

将Cox-Ross-Rubinstein二项模型推广到多项情形,证明连续样本路径下极限得到Black-Scholes公式,跳跃情形下得到Merton型公式,对期权定价理论有重要参考价值。

Abstract

The Cox, Ross, and Rubinstein binomial model is generalized to the multinomial case. Limits are investigated and shown to yield the Black-Scholes formula in the case of continuous sample paths for a wide variety of complete market structures. In the discontinuous case of Merton-type formula is shown to result, provided jump probabilities are replaced by their corresponding Arrow-Debreu prices.

多项期权定价模型Merton跳跃扩散模型Arrow-Debreu价格