Changes in risk and valuation of options:a unified approach to option pricing bounds

摘要

In this paper we first prove a theorem which reveals how changes in risk affect option values. The theorem can be used to solve most problems in the theory of option pricing bounds with restrictions on probability distributions or risk preferences, given the prices of the underlying stock and multiple observed options. We then present analytical solutions to such problems subject to four interesting classes of probability distributions and four important classes of risk preferences, respectively.