European Option Pricing with Behavioral parameters
Cao Huangjin, Jin Zhiming
National University of Defense Technology , Changsha ,China
Abstract
This paper presents a discrete-time and a continuous time model for valuing options with behavioral parameters. Be differ from prospect theory, investors in our model derive utility from relative changes in the value of his financial wealth of his mental account, and the investor has a particular weight for each mental account. For the problem of the market efficiency, we consider, we mustn’t talk about the logos of securities-price, but we can describe our behavior by the logos, and we should try our best to describe the securities-price. Some investors may overcome the market by proper methods, others can’t, because they have the warp of perceiving the market. We also accept rational prices only reflects riskless profitable arbitrage, not investor’s value-expres-sive, but we will introduce the investor’s value-expres-sive in our model, so that we can exactly describe the securities-price.
We propose a new framework for the fundamental economic principles of European option pricing with behavioral finance, introduce mental accounts( Kahneman and Tversky ,1979) and on the influence of prior outcomes on risky choice(Nicholas Barberis, Ming Huang, Tano Santos,1999). In the discrete-time model, we give a simple to illustrate our hypothesis that investors derive utility from relative changes. In the continuous time model, we present European option pricing in a single mental account and a sort of behavioral parameter version (EOP-AMA), two mental accounts and a sort of behavioral parameter version (EOP-TMA), and two mental accounts and two sorts of behavioral parameters version (EOP-TMT).
这是我最近的习作,只给出了摘要,文章已做完。不知哪位搞行为金融学的有兴趣可以交流一下,qq:507251