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资产定价理论中几个问题的反例

A Counterexample to Several Problems In the Theory of Asset Pricing

Mathematical Finance · 1993
被引 21
人大 BABS 3

中文导读

构造了一个连续有界随机过程,它存在等价鞅测度,但Föllmer和Schweizer意义下的最小鞅测度不存在,从而否定了Karatzas等人和Strieker提出的问题。

Abstract

We construct a continuous bounded stochastic process ( S t ,) 1E[0,1] which admits an equivalent martingale measure but such that the minimal martingale measure in the sense of Föllmer and Schweizer does not exist. This example also answers (negatively) a problem posed by Karatzas, Lehozcky, and Shreve as well as a problem posed by Strieker.

资产定价鞅理论金融数学随机过程