布莱克-舒尔斯模型与一般均衡框架的一致性

On the Consistency of the Black-Scholes Model with a General Equilibrium Framework

Journal of Financial and Quantitative Analysis · 1987
被引 109
人大 AFT50ABS 4

中文导读

构建一个只有最终消费的简单经济,内生布莱克-舒尔斯模型假设的价格随机行为,证明特定偏好和信念对均衡存在的充分必要性,并推广到连续消费框架嵌入默顿比例股息模型。

Abstract

We construct a simple economy with consumption only at the final date in which we “endogenize” the stochastic behavior of prices assumed in the Black-Scholes model. Certain preferences (constant proportional risk aversion) and beliefs are shown to be sufficient and necessary, in certain respects, for the existence of such an equilibrium. The analysis is then generalized to a continuous-consumption framework, in which we embed the Merton proportional dividend model.

一般均衡风险厌恶连续消费