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Prospect theory and trading patterns

Journal of Banking & Finance 2013 37(8), 2793-2805
Reference dependence, loss aversion, and risk seeking for losses together comprise the preference-based component of prospect theory that sets its value function apart from the standard risk-aversion model. Using an elasticity analysis, we show that this distinctive preference component serves to underpin negative-feedback trading propensities, but cannot manifest itself in behavior directly or holistically at the individual-choice level. We then propose and demonstrate that the market interaction between prospect-theory investors and regular CRRA investors allows this preference component to dominate in equilibrium behavior and hence helps to reestablish the intuitive link between prospect-theory preferences and negative-feedback trading patterns. In the model, the interaction also reconciles the contrarian behavior of prospect-theory investors with asymmetric volatility and short-term return reversal. The results suggest that prospect-theory preferences can lead investors to behave endogenously as contrarian noise traders in the market interaction process.

When Prospect Theory Meets Mean-Reverting Asset Returns: A Behavioral Dynamic Trading Model

Journal of Banking & Finance 2024 162, 107159
We develop a continuous-time asset allocation model to investigate the effects of mean-reverting stock returns on investors with Prospect Theory (PT) preferences. Our semi-analytical solution facilitates a comprehensive exploration of how the stock investment of PT investors may differ when accounting for mean reversion. We find that incorporating mean reversion attenuates the distinct V-shaped demand pattern in relation to contemporaneous prices, which is more pronounced when mean reversion is absent, by significantly reducing PT investors’ stock demand following price increases. This shift leads to a stock demand profile that demonstrates an inverse relationship with stock prices. In line with this change, we also show that combining PT utility with mean reversion predicts short-term contrarian behavior and the disposition effect more reliably than benchmark models that incorporate either PT utility or mean-reverting returns alone.