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Do not put all your eggs in one (time) basket

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  • Zvika Afik

Abstract

We show that it is easy to enhance an investment’s Sharpe ratio at no additional cost by purchasing the risky asset in a few installments instead of all at once. A similar argument holds for selling the risky asset. In the simple case of a geometrical Brownian motion (GBM), we prove analytically that such a strategy decreases the variance of returns without changing the expected returns, relative to the one-shot strategy. We demonstrate the benefits of this strategy by bootstrapping daily S&P-500 prices for the 1985–2013 period and using Monte Carlo simulations of GBM and jump-diffusion processes. The results are statistically significant. We show that the strategy is more effective for short investment horizons and that performance improves with the number of installments used. Copyright Swiss Society for Financial Market Research 2015

Suggested Citation

  • Zvika Afik, 2015. "Do not put all your eggs in one (time) basket," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 29(3), pages 251-269, August.
    • Handle: RePEc:kap:fmktpm:v:29:y:2015:i:3:p:251-269
    DOI: 10.1007/s11408-015-0252-6
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    References listed on IDEAS

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    1. Leggio, Karyl B. & Lien, Donald, 2001. "Does loss aversion explain dollar-cost averaging?," Financial Services Review, Elsevier, vol. 10(1-4), pages 117-127.
    2. Knight, John R. & Mandell, Lewis, 1992. "Nobody gains from dollar cost averaging analytical, numerical and empirical results," Financial Services Review, Elsevier, vol. 2(1), pages 51-61.
    3. Constantinides, George M., 1979. "A Note on the Suboptimality of Dollar-Cost Averaging as an Investment Policy," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(2), pages 443-450, June.
    4. Javier Estrada, 2006. "Downside Risk in Practice," Journal of Applied Corporate Finance, Morgan Stanley, vol. 18(1), pages 117-125, March.
    5. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    6. Samuelson, Paul A., 1967. "General Proof that Diversification Pays*," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 2(1), pages 1-13, March.
    7. Merton, Robert C., 1972. "An Analytic Derivation of the Efficient Portfolio Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1851-1872, September.
    8. Samuelson, Paul A, 1997. "Proof by Certainty Equivalents that Diversification-across-Time Does Worse, Risk Corrected, Than Diversification-throughout-Time," Journal of Risk and Uncertainty, Springer, vol. 14(2), pages 129-142, March.
    9. Chacko, George & Viceira, Luis M., 2003. "Spectral GMM estimation of continuous-time processes," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 259-292.
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    More about this item

    Keywords

    Investment; Diversification; Monte Carlo; Sharpe ratio; G11; C15;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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