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A Monte Carlo Study of the Strategies for 401 (k) Plans: Dollar-Cost-Averaging, Value-Averaging, and Proportional Rebalancing

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A Monte Carlo Study of the Strategies for 401(k) Plans: Dollar-Cost-Averaging, Value-Averaging, and Proportional Rebalancing

Haiwei Chen, Ph.D.

University of Texas, Pan American Department of Economics and Finance 1201 W. University Drive Edinburg, TX 78539

Tel: 956-381-3338

Email: chenh@utpa.edu

Jim Estes, Ph. D., CFP

California State University, San Bernardino

Department of Accounting and Finance

5500 University Parkway

San Bernardino, CA 92407

Tel: 909-880-5773

E-mail: jimestes@csusb.edu

  • Corresponding author. We received helpful comments and suggestions from Shawn Brayman, Kenneth Moon, Daniel Walz, and session participants of the Academy of Financial Services 2009 meeting in Anaheim, CA. We also thank Clifford Adikuono for excellent research assistance. The usual disclaimer applies.

A Monte Carlo Study of the Strategies for 401(k) Plans: Dollar-Cost-Averaging, Value-Averaging, and Proportional Rebalancing

Abstract

This study compares the performances of three popular strategies in the financial press, i.e., dollar-cost-averaging, value averaging, and proportional rebalancing. Monte Carlo simulations show a high frequency of dominance for the value-averaging approach in generating a higher terminal value in an individual‟s 401(k) retirement portfolio over the other two strategies. In addition, total risk of the portfolio is lower under value averaging than under dollar cost averaging. Value averaging provides the highest reward-risk ratio as well as highest likelihood of meeting the investment goal. Based on the overall consideration of terminal value, total risk, modified Sharpe ratio, downside risk, and dominance frequency, a targeted annual growth rate of between 10% and 12% for the equity account should be used as the target growth rate in conducting value averaging.

Jel Classification: G10; G23

Keywords: 401(k) investing, dollar-cost-averaging, value-averaging, proportional rebalancing, simulation

A Monte Carlo Study of the Strategies for 401(k) Plans: Dollar-Cost-Averaging, Value-Averaging, and Proportional Rebalancing

1. Introduction

Three strategies are frequently discussed in the financial press for retirement investing. They are dollar-cost-averaging (DCA), value-average (VA), and proportional rebalancing (PR).1 Under dollar-cost-averaging, investors make the same contribution to their portfolios at the same time e

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