DOI QR코드

DOI QR Code

외환 시장 포트폴리오 선정 모형과 투자 알고리즘 개발 및 성과평가

Development and Evaluation of a Portfolio Selection Model and Investment Algorithm in Foreign Exchange Market

  • 투고 : 2013.09.24
  • 심사 : 2014.04.07
  • 발행 : 2014.06.30

초록

In this paper, we develop a portfolio selection model that can be used to invest in markets with margin requirements such as the foreign exchange market. An investment algorithm to implement the proposed portfolio selection model based on objective historical data is also presented. We further conduct empirical analysis on the performance of a hypothetical investment in the foreign exchange market, using the proposed portfolio selection model and investment algorithm. Using 7 currency pairs that recorded the highest trading volume in the foreign exchange market during the most recent 10 years, we compare the performance of 1) the Dollar Index, 2) a 1/N Portfolio which equally allocates capital to all N assets considered for investment, and 3) a hypothetical investment portfolio selected and managed according to the portfolio selection model and investment algorithm proposed in this paper. Performance is compared in terms of accumulated returns and Sharpe ratios for the 10-year period from January 2003 to December 2012. The results show that the hypothetical investment portfolio outperforms both benchmarks, with superior performance especially during the period following financial crisis. Overall, this paper suggests that a mathematical approach for selecting and managing an optimal investment portfolio based on objective data can achieve outstanding performance in the foreign exchange market.

키워드

참고문헌

  1. 김보미, 김재희, "일별 환율 데이터에 대한 시계열 모형 적합 및 비교분석", 응용통계연구, 제26권, 제1호(2013), pp.14-27.
  2. 김홍선, 정종빈, 김성문, "한국 주식시장에서 마코위츠 포트폴리오 선정 모형의 입력 변수의 정확도에 따른 투자 성과 연구", 한국경영과학회지, 제38권, 제4호(2013), pp.35-52. https://doi.org/10.7737/JKORMS.2013.38.4.035
  3. 김성문, 김홍선, "한국 주식시장에서 비선형계획법을 이용한 마코위츠의 포트폴리오 선정 모형의 투자 성과에 관한 연구", 경영과학, 제26권, 제2호(2009), pp.19-35.
  4. 류시영, "시계열 모형을 이용한 환율예측 및 기술적 투자에 관한 연구", KAIST, 2006.
  5. 박경찬, 정종빈, 김성문, "지수가중이동평균법과 결합된 마코위츠 포트폴리오 선정 모형 기반 투자 프레임워크 개발 : 글로벌 금융위기 상황하 한국 주식시장을 중심으로", 한국경영과학회지, 제28권, 제2호(2013), pp.75-93.
  6. 최재호, 정종빈, 김성문, "마코위츠 포트폴리오 선정 모형을 기반으로 한 투자 알고리즘 개발 및 성과평가 : 미국 및 홍콩 주식시장을 중심으로", 경영과학, 제30권, 제1호(2013), pp.73-89.
  7. DeMiguel, V., L. Garlappi, and R. Uppal, "Optimal Versus Naive Diversification : How Inefficient is the 1/N Portfolio Strategy?," Review of Financial Studies, Vol.22, No.5 (2007), pp.1915-1953. https://doi.org/10.1093/rfs/hhm075
  8. Dukascopy(http://www.dukascopy.com/sw iss/english/marketwatch/historical/).
  9. Dunchin, R. and H. Levy, "Markowitz versus the Talmudic portfolio diversification strategies," The Journal of Portfolio Management, Vol.35, No.2(2009), pp.71-74. https://doi.org/10.3905/JPM.2009.35.2.071
  10. Frankel, J. and K. Froot, "Chartists, fundamentalists, and trading in the foreign exchange market," The American Economic Review, Vol.80, No.2(1990), pp.181-185.
  11. Hillier, F.S. and G.J. Lieberman, Introduction to Operations Research(9th ed.), New York : McGraw-Hill, 2010.
  12. Hsieh, D., "Modeling heteroscedasticity in daily foreign-exchange rates," Journal of Business and Economic Statistics, Vol.7, No.3(1989), pp.307-317.
  13. Huang W. and K. Lai, "Forecasting foreign exchange rates with artificial neural networks : a review," International Journal of Information Technology and Decision Making, Vol.3, No.1(2004), pp.145-165. https://doi.org/10.1142/S0219622004000969
  14. Hui, T., E. Kwan, and C. Lee, "Optimal portfolio diversification : empirical Bayes versus classical approach," Journal of the Operational Research Society, Vol.44, No.11(1993), pp.1155-1159. https://doi.org/10.1057/jors.1993.187
  15. Kuan, C. and T. Liu, "Forecasting exchange rates using feedforward and recurrent neural networks," Journal of Applied Econometrics, Vol.10, No.4(1995), pp.347-364. https://doi.org/10.1002/jae.3950100403
  16. LeBaron, B., "Technical trading rule profitability and foreign exchange intervention," Journal of International Economics, Vol.49, No.1(1999), pp.125-143. https://doi.org/10.1016/S0022-1996(98)00061-0
  17. Levich, R. and III, L. Thomas, "The significance of technical trading-rule profits in the foreign exchange market : a bootstrap approach," Journal of International Money and Finance, Vol.12, No.5(1993), pp.451-474. https://doi.org/10.1016/0261-5606(93)90034-9
  18. Lukac, L., B. Brorsen, and S. Irwin, "A test of futures market disequilibrium using twelve different technical trading systems," Applied Economics, Vol.20, No.5(1988), pp.623-639. https://doi.org/10.1080/00036848800000113
  19. Markowitz, H., "Portfolio selection," Journal of finance, Vol.7(1952), pp.77-91.
  20. Markowitz, H., Portfolio selection : efficient diversification of investments, New York : Wiley, 1959.
  21. Marsh, I., "High‐frequency Markov switching models in the foreign exchange market," Journal of Forecasting, Vol.19, No.2(2000), pp.123-134. https://doi.org/10.1002/(SICI)1099-131X(200003)19:2<123::AID-FOR750>3.0.CO;2-C
  22. Olson, D., "Have trading rule profits in the currency markets declined over time?," Journal of banking and Finance, Vol.28, No.1(2004), pp.85-105. https://doi.org/10.1016/S0378-4266(02)00399-0
  23. Pantaleo, E., M. Tumminello, F. Lillo, and R.N. Mantegna, "When do improved covariance matrix estimators enhance portfolio optimization? An empirical comparative study of nine estimators," Quantitative Finance, Vol.11, No.7(2011), pp.1067-1080. https://doi.org/10.1080/14697688.2010.534813
  24. Sharpe, W. F., "The Sharpe ratio," The Journal of Portfolio Management, Vol.21, No.1(1994), pp.49-58. https://doi.org/10.3905/jpm.1994.409501
  25. Sweeney, R., "Beating the foreign exchange market," The Journal of Finance, Vol.41, No.1 (1986), pp.163-182. https://doi.org/10.1111/j.1540-6261.1986.tb04497.x
  26. Taylor, S., "Trading futures using a channel rule : A study of the predictive power of technical analysis with currency examples," Journal of Futures Markets, Vol.14, No.2(1994), pp.215-235. https://doi.org/10.1002/fut.3990140207
  27. Tenti, P., "Forecasting foreign exchange rates using recurrent neural networks," Applied Artificial Intelligence, Vol.10, No.6(1996), pp.567-582. https://doi.org/10.1080/088395196118434
  28. Zahlungsausgleich, B., "Triennial-Central Bank Survey-Report on global foreign exchange market activity in 2010," The Bank for International Settlements, 2010.