Asset allocation determinants under Cumulative Prospect Theory
نویسنده
چکیده
In this paper we compute the asset allocation obtained with different parametrizations of Cumulative Prospect Theory; in this settings, Prospect Theory and Expected Utility are seen as special cases. We first look for the optimal portfolio in an artificial financial market, where the asset returns are generated such that each return is endowed with some desired statistical properties (i.e. the values of the mean, the variance, the skewness and the kurtosys). This way we can detect the effects of the first four moments of the returns’ distriburions on asset allocation in different decision maker models.
منابع مشابه
Cumulative Prospect Theory and Mean Variance Analysis. A Rigorous Comparison
We compare asset allocations derived for cumulative prospect theory (CPT) based on two different methods: Maximizing CPT along the mean–variance efficient frontier and maximizing it without that restriction. We find that with normally distributed returns the difference is negligible. However, using standard asset allocation data of pension funds the difference is considerable. Moreover, with de...
متن کاملTheory Matters for Financial Advice!
We show that the optimal asset allocation for an investor depends crucially on the theory with which the investor is modeled. For the same market data and the same client data different theories lead to different portfolios. The market data we consider is standard asset allocation data. The client data is determined by a standard risk profiling question and the theories we apply are mean–varian...
متن کاملStochastic Models for Assets Allocation under the Framework of Prospect and Cumulative Prospect Theory
This paper examines the problem of choosing the optimal portfolio for an investor with asymmetric attitude to gains and losses described in the prospect theory of A. Tversky and D. Kahneman. We consider the portfolio optimization problem for an investor who follows the assumptions of the prospect theory and the cumulative prospect theory under conditions on the stochastic behavior both of the p...
متن کاملStatic Portfolio Choice under Cumulative Prospect Theory
We derive the optimal portfolio choice for an investor who behaves according to Cumulative Prospect Theory. The study is done in a oneperiod economy with one risk-free asset and one risky asset, and the reference point corresponds to the terminal wealth arising when the entire initial wealth is invested into the risk-free asset. When it exists, the optimal holding is a function of a generalized...
متن کاملExplaining Heterogeneity in Risk Preferences Using a Finite Mixture Model
This paper studies the effect of the space (distance) between lotteries' outcomes on risk-taking behavior and the shape of estimated utility and probability weighting functions. Previously investigated experimental data shows a significant space effect in the gain domain. As compared to low spaced lotteries, high spaced lotteries are associated with higher risk aversion for high probabilities o...
متن کامل