Optimal Portfolio Construction: Application of Sharpe's Single-Index Model on Dhaka Stock Exchange

Authors

  • Imroz Mahmud Department of Business Administration, University of Asia Pacific, Dhaka

DOI:

https://doi.org/10.31106/jema.v16i1.1736

Keywords:

Single-Index Model, Sharpe, Optimal Portfolio, Dhaka Stock Exchange

Abstract

This study aims to find whether Sharpe's single-index model of portfolio construction offers better investment alternatives to the investors of the Dhaka Stock Exchange (DSE). For this purpose, month-ended closing price data of 178 companies listed on the DSE, the prime bourse of Bangladesh, and the month-ended index value of DSEX have been used for the period starting from January 2013 to February 2018. The stocks selected for this study belong to 16 industrial sectors, and purposive sampling technique has been used to select these sectors. Sharpe's model formulates a unique cut-off rate and selects the stocks having an excess return-to-beta ratio above that rate. In this study, 54 stocks qualified to be a part of the optimal portfolio. Hence, the proportion of investment to be made on each of the stock is calculated according to the model. The study reveals that three industries occupy a hefty chunk (65.78%) of the proposed investment portfolio. The constructed portfolio offers a monthly return of 2.1489% and carries 1.9516% risk as measured by standard deviation. The beta of the optimal portfolio is only 0.124003. The constructed portfolio outperforms every individual stock as well as the market index in terms of offering the optimal risk-return combinations. Therefore, this five-and-a-half-decade-old model offers a great opportunity for Bangladeshi investors to optimize return and diversify risk in an efficient manner.

References

Ahuja, R. (2017). Sharpe Single Index Model: Evidence From Bombay Stock Exchange (BSE) in India. Research Bulletin, 43(1).

Bodie, Z., Kane, A., & Marcus, A. J. (2009). Investments, Eight Edition. International Edition. New York: McGraw-Hill/Irwin.

Briec, W., & Kerstens, K. (2009). Multi-Horizon Markowitz Portfolio Performance Appraisals: A General Approach. Omega, 37(1): 50-62, https://hal.archives-ouvertes.fr/hal-00288174.

Dhaka Stock Exchange. (2017). Annual Report 2016-17. Dhaka: Dhaka Stock Exchange Ltd. Retrieved from http://www.dsebd.org/download/Annual_Report.zip

Dhaka Stock Exchange. (2018). DSE Clearing and Settlement System. Accessed on May 10, 2018, from www.dsebd.org/settle.php.

Elton, E. J., Gruber, M. J., & Padberg, M. W. (1976). Simple Criteria For Optimal Portfolio Selection. The Journal of Finance, 31, (5), 1341-1357, https://doi.org/10.1111/j.1540-6261.1976.tb03217.x.

Elton, E. J., Gruber, M. J., & Padberg, M. W. (1977). Simple Rules For Optimal Portfolio Selection: The Multi Group Case. Journal of Financial and Quantitative Analysis, 12(3), 329-345, https://doi.org/10.2307/2330538.

Elton, E. J., Gruber, M. J., & Padberg, M. W. (1978). Simple Criteria For Optimal Portfolio Selection: Tracing Out The Efficient Frontier. The Journal of Finance, 33(1), 296-302, https://doi.org/10.2307/2326368.

Elton, E. J., Gruber, M. J., Brown, S. J., & Goetzmann, W. N. (2009). Modern Portfolio Theory And Investment Analysis. New York: Wiley.

Frankfurter, G. M., Phillips, H. E., & Seagle, J. P. (1976). Performance Of The Sharpe Portfolio Selection Model: A Comparison. Journal of Financial and Quantitative Analysis, 11(2), 195-204, https://doi.org/10.2307/2979049.

Haugen, R. (1993). Modern Investment Theory, Third Edition. New Jersey: Prentice-Hall.

Markowitz, H. (1952). Portfolio Selection. The journal of finance, 7(1), 77-91, https://doi.org/10.1111/j.1540-6261.1952.tb01525.x.

Nanda, S. R., Mahanty, B., & Tiwari, M. K. (2010). Clustering Indian Stock Market Data For Portfolio Management. Expert Systems with Applications, 37(12), 8793-8798, https://doi.org/10.1016/j.eswa.2010.06.026.

Omet, G. (1995). On The Performance Of Alternative Portfolio Selection Models. Dirasat (The Humanities), 22(3), 125-135.

Paudel, R. B., & Koirala, S. (2007). Application of Markowitz and Sharpe Models in Nepalese Stock. Journal of Nepalese Business Studies, 3(1), 18-35.

Rahaman, M. A., Hasan, M. B., & Ahsan, A. M. (2013). Stock Market Performance Under Different Government Periods: Evidence from Bangladesh. Universal Journal of Accounting and Finance, 1(2), 42-50, https://doi.org/10.13189/ujaf.2013.010202.

Rani, M., & Bahl, S. (2012). Optimal Portfolio Selection With Or Without The Procedure Of Short Sales. Asian Journal of Research in Business Economics and Management, 2(7), 220-234.

Sen, K., & Fattawat, C. D. (2014). Sharpe’s Single Index Model and its Application Portfolio Construction: An Empirical Study. Global Journal of Finance and Management, 6(6), 511-516.

Sharpe, W. F. (1963). A Simplified Model For Portfolio Analysis. Management Science, 9(2), 277-293, https://dx.doi.org/10.1287/mnsc.9.2.277.

Singh, S., & Gautam, J. (2014). The Single Index Model & The Construction Of Optimal Portfolio: A Case Of Banks Listed On NSE India. Risk governance & control: financial markets & institutions, 4(2), 110-115, https://doi.org/10.22495/rgcv4i2c1art3.

Skarica, B., & Zrinka, L. (2012). A Comparison of Basic and Extended Markowitz Model on Croatian Capital Market. Croatian Operational Research (CRORR), 3(1), 236-244, https://hrcak.srce.hr/96823.

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Published

2019-03-19

How to Cite

Mahmud, I. (2019). Optimal Portfolio Construction: Application of Sharpe’s Single-Index Model on Dhaka Stock Exchange. JEMA: Jurnal Ilmiah Bidang Akuntansi Dan Manajemen, 16(1), 60–92. https://doi.org/10.31106/jema.v16i1.1736