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2020 | 1(13) | 40-50

Article title

The use of the bootstrap method for the assessment of investment effectiveness and risk – the case of confidence intervals estimation for the Sharpe ratio and TailVaR

Content

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Abstracts

EN
This paper is aimed at presenting application of bootstrap interval estimation methods to the assessment of financial investment’s effectiveness and risk. At first, we give an overview of various methods of bootstrap confidence interval estimation, i.e. bootstrap-t interval, percentile interval and BCa interval. Then, bootstrap confidence interval estimation methods are used to estimate confidence intervals for the Sharpe ratio and TailVaR of the Warsaw Stock Exchange sectoral indices. The results show that the bootstrap confidence intervals of different types are quite similarly positioned for each of the analysed index and measure. Taking into the account the locations of confidence intervals for both the Sharpe ratio and TailVaR, the real estate sector tends to be the most advantageous from the investor’s viewpoint.

Year

Issue

Pages

40-50

Physical description

Dates

published
2020

Contributors

author
  • Poznań University of Economics and Business
author
  • Adam Mickiewicz University, Faculty of Mathematics and Computer Science

References

  • Auer B.R., Schuhmacher F. (2013) Robust Evidence on the Similarity of Sharpe Ratio and Drawdown-based Hedge Fund Performance Rankings. Journal of International Financial Markets, Institutions and Money 24, pp. 153–165. https://doi.org/10.1016/j.intfin.2012.11.010.
  • Chaudhry A., Johnson H.L. (2008) The Efficacy of the Sortino Ratio and Other Benchmarked Performance Measures Under Skewed Return Distributions. Australian Journal of Management 32, pp. 485–502. https://doi. org/10.1177/031289620803200306.
  • Cont R. (2001) Empirical Properties of Asset Returns: Stylized Facts and Statistical Issues. Quantitative Finance 1, pp. 223–236. https://doi.org/10.1080/713665670.
  • Davison A.C., Hinkley D.V. (1997) Bootstrap Methods and Their Application. Cambridge: Cambridge University Press.
  • Efron B. (1979) Bootstrap Methods: Another Look at the Jacknife. The Annals of Statistics 7, pp. 1–26.
  • Efron B., Tibshirani R.J. (1998) An Introduction to the Bootstrap. Boca Raton: Chapman & Hall/CRC Press.
  • Fama E.F. (1965) The Behavior of Stock Market Prices. Journal of Business 38, pp. 34–105.
  • Hodges Ch.W., Taylor W.R.L., Yoder J.A. (1997) Stocks, Bonds, the Sharpe Ratio, and the Investment Horizon. Financial Analysts Journal 53, pp. 74–80. https://doi.org/10.2469/faj.v53.n6.2132.
  • Hull J.C. (2009) Options, Futures, and Other Derivatives. New Jersey, Upper Saddle River: Pearson Prentice Hall.
  • Jarno K. (2019) Bootstrap methods and their application to confidence intervals. Bachelor’s thesis defended in Mathematics. Adam Mickiewicz University, Poznań
  • Krzyśko M. (2004) Statystyka Matematyczna. Poznań: Wydawnictwo Naukowe UAM.
  • Ledoit O., Wolf M. (2008) Robust Performance Hypothesis Testing with the Sharpe Ratio. Journal of Empirical Finance 15, pp. 850–859. https://doi.org/10.1016/j.jempfin.2008.03.002.
  • Lin S.-K., Wang R.-H., Fuh C.-D. (2006) Risk Management for Linear and Non-Linear Assets: A Bootstrap Method with Importance Resampling to Evaluate Value-at-Risk. Asia-Pacific Financial Markets 13, pp. 261–295. https:// doi.org/10.1007/s10690-007-9042-0.
  • Lo A.W. (2002) The Statistics of Sharpe Ratios. Financial Analysts Journal 58, pp. 36–52. https://doi.org/10.2469/ faj.v58.n4.2453.
  • Mancini L., Trojani F. (2011) Robust Value at Risk Prediction. Journal of Financial Econometrics, 9, pp. 281–313. https://doi.org/10.1093/jjfinec/nbq035.
  • Mandelbrot B. (1963) The Variation of Certain Speculative Prices. The Journal of Business, 36 pp. 394–419. http:// dx.doi.org/10.1086/294632.
  • Pilotte E.A., Sterbenz F.P. (2006) Sharpe and Treynor Ratios on Treasury Bonds. The Journal of Business 79, pp. 149–180. http://dx.doi.org/10.1086/497409.
  • Riondato M. (2018) Sharpe Ratio: Estimation, Confidence Intervals, and Hypothesis Testing. Two Sigma Technical Report 2018-001.
  • Rachev S.T., Menn Ch., Fabozzi F.J. (2005) Fat-Tailed and Skewed Asset Return Distributions: Implications for Risk Management, Portfolio Selection, and Option Pricing. New York: John Wiley & Sons.
  • Shao J., Tu D. (1995) The Jackknife and Bootstrap. New York: Springer-Verlag.
  • Sharpe W.F. (1966) Mutual Fund Performance. The Journal of Business 39, pp. 119–138. http://dx.doi.org/10. 1086/294846.
  • Scherer B. (2004) An Alternative Route to Performance Hypothesis Testing. Journal of Asset Management 5, pp. 5–12. https://doi.org/10.1057/palgrave.jam.2240123.

Document Type

Publication order reference

Identifiers

Biblioteka Nauki
2046423

YADDA identifier

bwmeta1.element.ojs-doi-10_7172_2353-6845_jbfe_2020_1_3
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