Portfolio Optimization with Mental Accounts

B-Tier
Journal: Journal of Financial and Quantitative Analysis
Year: 2010
Volume: 45
Issue: 2
Pages: 311-334

Authors (4)

Das, Sanjiv (Santa Clara University) Markowitz, Harry Scheid, Jonathan (not in RePEc) Statman, Meir (not in RePEc)

Score contribution per author:

0.505 = (α=2.02 / 4 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We integrate appealing features of Markowitz’s mean-variance portfolio theory (MVT) and Shefrin and Statman’s behavioral portfolio theory (BPT) into a new mental accounting (MA) framework. Features of the MA framework include an MA structure of portfolios, a definition of risk as the probability of failing to reach the threshold level in each mental account, and attitudes toward risk that vary by account. We demonstrate a mathematical equivalence between MVT, MA, and risk management using value at risk (VaR). The aggregate allocation across MA subportfolios is mean-variance efficient with short selling. Short-selling constraints on mental accounts impose very minor reductions in certainty equivalents, only if binding for the aggregate portfolio, offsetting utility losses from errors in specifying risk-aversion coefficients in MVT applications. These generalizations of MVT and BPT via a unified MA framework result in a fruitful connection between investor consumption goals and portfolio production.

Technical Details

RePEc Handle
repec:cup:jfinqa:v:45:y:2010:i:02:p:311-334_00
Journal Field
Finance
Author Count
4
Added to Database
2026-01-25