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Optimal market indices using value-at-risk: a first empirical approach for three stock markets

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  • Jordi Andreu
  • Salvador Torra

Abstract

Since Fama's Efficient Market Hypothesis (EMH), numerous authors have argued that it is impossible to constantly beat the market. The best an investor can do is buy and hold 'the market' through a market index. Taking into account the important role of market indices as benchmarks against which we compare performance and as tools to prove efficiency or calculate Capital Asset Pricing Model (CAPM), few articles have studied how we should build, weigh or incorporate Modern Portfolio Theory into market index construction. Everybody accepts market indices as an essential part of finance, but nobody seems to care about them. In this article, we propose a different way of calculating market indices, which uses characteristics of optimal portfolios and risk control to establish the components' weights. We present the minimum risk indices using a Value-at-Risk (VaR) minimization problem and prove that they have less risk than current market indices, and that in some markets they beat the actual market index.

Suggested Citation

  • Jordi Andreu & Salvador Torra, 2009. "Optimal market indices using value-at-risk: a first empirical approach for three stock markets," Applied Financial Economics, Taylor & Francis Journals, vol. 19(14), pages 1163-1170.
    • Handle: RePEc:taf:apfiec:v:19:y:2009:i:14:p:1163-1170
    DOI: 10.1080/09603100802360024
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    References listed on IDEAS

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    1. Enrique Sentana, 2001. "Mean-Variance Portfolio Allocation with a Value at Risk Constraint," Working Papers wp2001_0105, CEMFI.
    2. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
    3. Susan Thomas & Mandira Sarma & Ajay Shah, 2003. "Selection of Value-at-Risk models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 22(4), pages 337-358.
    4. Christian S. Pedersen & Stephen E. Satchell, 1998. "An Extended Family of Financial-Risk Measures," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 23(2), pages 89-117, December.
    5. Stone, Bernell K, 1973. "A General Class of Three-Parameter Risk Measures," Journal of Finance, American Finance Association, vol. 28(3), pages 675-685, June.
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    Cited by:

    1. Lorimer, Douglas Austen & van Schalkwyk, Cornelis Hendrik & Szczygielski, Jan Jakub, 2024. "Portfolio optimisation using alternative risk measures," Finance Research Letters, Elsevier, vol. 67(PA).

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