• 제목/요약/키워드: 마코위츠 포트폴리오 선정 모형

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마코위츠 포트폴리오 모형을 사용한 리츠 투자 포트폴리오 구성방법에 관한 연구 (A Study on a Method for Composing a Portfolio for REITs Investment Using Markowitz's Portfolio Model)

  • 이치주;이강;원종성;함성일
    • 한국건설관리학회논문집
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    • 제11권2호
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    • pp.54-63
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    • 2010
  • 국내 외 경기 침체의 영향으로 국내 건설업체들은 자금조달의 어려움을 겪고 있다. 이러한 경기 침체기에 자금의 유동화와 건설경기의 활성화를 촉진할 수 있는 리츠 제도가 2001년에 도입되어 점차 확대되고 있지만, 비슷한 시기에 도입한 다른 나라에 비해 성장속도 및 시장규모가 작은 편이다. 본 연구에서는 리츠의 활성화를 위하여 보다 높은 수익률 확보를 위한 포트폴리오 구성 방법으로, 마코위츠 포트폴리오 선정 모형을 적용한 리츠 투자 포트폴리오 구성 방법에 대해 제안하고자 한다. 주요 내용은 다음과 같다. 첫째, 2007년 7월 3일부터 2008년 7월 21일까지의 투자분석기간 동안 마코위츠 모형을 적용한 리츠의 투자결과와 비교대상 리츠들의 평균 수익률을 비교하여 수익률 향상정도를 분석하였다. 그 결과 마코위츠 모형을 적용한 수익률이 비교대상 리츠들의 평균 수익률보다 약 10% 높게 나타났다. 둘째, 기존 수익률의 자료 수집기간과 포트폴리오 교체주기에 대한 민감도 분석을 하여, 최적의 수익률을 나타낼 수 있는 자료 수집기간과 포트폴리오 교체주기를 도출하였다. 수익률 자료 수집기간이 6개월 일 때 비교대상 리츠들의 평균 수익률보다 마코위츠 모형을 적용한 수익률이 약 16% 높게 나타났으며, 포트폴리오 교체주기를 2주 간격으로 설정하였을 때는 약 11% 높게 나타났다.

한국 주식시장의 삼성그룹주펀드들과 비선형계획법을 이용한 마코위츠의 포트폴리오 선정 모형의 투자 성과 비교 (Comparison of Investment Performance in the Korean Stock Market between Samsung-Group-Funds and Markowitz's Portfolio Selection Model Using Nonlinear Programming)

  • 김성문;김홍선
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2008년도 추계학술대회 및 정기총회
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    • pp.76-94
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    • 2008
  • 본 논문은 마코위츠의 포트폴리오 선정 이론을 한국 주식 시장에 실제 적용할 경우 투자 성과를 평가해 본 실증적 연구이다. 이를 위해서 대중적으로 인기가 있었던 삼성그룹주펀드 5종 및 KOSPI지수 변화율을 마코위츠의 모형과 비교 분석하였다. 2007년 3월부터 2008년 9월까지 최근 1년 6개월의 기간에 대하여, KOSPI 지수는 0.1%로 거의 변화를 보이지 않은 반면, 삼성그룹주펀드 5종의 평균수익률은 20.54%였고, 삼성그룹주펀드를 구성하는 동일한 17개 종목으로 마코위츠의 모형에 따라 투자한 방식은 52%의 수익률을 올렸다. 수익률을 극대화하기 위하여 데이터 수집 기간 및 포트폴리오 교체 주기에 대하여 민감도 분석을 수행하였다. 결론적으로, 투자자 개인의 주관이나 감정에 의한 판단을 완전히 배제하고 객관적 데이터에 의하여 포트폴리오를 수리적으로 변경하는 마코위츠의 모형에 의한 투자 방식이, 상대적으로 우월한 시장 정보를 가지고 주관적 판단에 의해 능동적으로 포트폴리오를 변경하는 시중 펀드매니저의 운영 성과에 비해 월등하였음을 본 연구에서는 삼성그룹주펀드의 실증적 연구를 통하여 보이고 있다.

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한국 주식시장에서 비선형계획법을 이용한 마코위츠의 포트폴리오 선정 모형의 투자 성과에 관한 연구 (Investment Performance of Markowitz's Portfolio Selection Model in the Korean Stock Market)

  • 김성문;김홍선
    • 경영과학
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    • 제26권2호
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    • pp.19-35
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    • 2009
  • This paper investigated performance of the Markowitz's portfolio selection model with applications to Korean stock market. We chose Samsung-Group-Funds and KOSPI index for performance comparison with the Markowitz's portfolio selection model. For the most recent one and a half year period between March 2007 and September 2008, KOSPI index almost remained the same with only 0.1% change, Samsung-Group-Funds showed 20.54% return, and Markowitz's model, which is composed of the same 17 Samsung group stocks, achieved 52% return. We performed sensitivity analysis on the duration of financial data and the frequency of portfolio change in order to maximize the return of portfolio. In conclusion, according to our empirical research results with Samsung-Group-Funds, investment by Markowitz's model, which periodically changes portfolio by using nonlinear programming with only financial data, outperformed investment by the fund managers who possess rich experiences on stock trading and actively change portfolio by the minute-by-minute market news and business information.

추적 신호를 적용한 마코위츠 포트폴리오 선정 모형의 종목 선정 능력 향상에 관한 연구 (Application of Tracking Signal to the Markowitz Portfolio Selection Model to Improve Stock Selection Ability by Overcoming Estimation Error)

  • 김영현;김홍선;김성문
    • 한국경영과학회지
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    • 제41권3호
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    • pp.1-21
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    • 2016
  • The Markowitz portfolio selection model uses estimators to deduce input parameters. However, the estimation errors of input parameters negatively influence the performance of portfolios. Therefore, this model cannot be reliably applied to real-world investments. To overcome this problem, we suggest an algorithm that can exclude stocks with large estimation error from the portfolio by applying a tracking signal to the Markowitz portfolio selection model. By calculating the tracking signal of each stock, we can monitor whether unexpected departures occur on the outcomes of the forecasts on rate of returns. Thereafter, unreliable stocks are removed. By using this approach, portfolios can comprise relatively reliable stocks that have comparatively small estimation errors. To evaluate the performance of the proposed approach, a 10-year investment experiment was conducted using historical stock returns data from 6 different stock markets around the world. Performance was assessed and compared by the Markowitz portfolio selection model with additional constraints and other benchmarks such as minimum variance portfolio and the index of each stock market. Results showed that a portfolio using the proposed approach exhibited a better Sharpe ratio and rate of return than other benchmarks.

지수가중이동평균법과 결합된 마코위츠 포트폴리오 선정 모형 기반 투자 프레임워크 개발 : 글로벌 금융위기 상황 하 한국 주식시장을 중심으로 (Developing an Investment Framework based on Markowitz's Portfolio Selection Model Integrated with EWMA : Case Study in Korea under Global Financial Crisis)

  • 박경찬;정종빈;김성문
    • 한국경영과학회지
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    • 제38권2호
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    • pp.75-93
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    • 2013
  • In applying Markowitz's portfolio selection model to the stock market, we developed a comprehensive investment decision-making framework including key inputs for portfolio theory (i.e., individual stocks' expected rate of return and covariance) and minimum required expected return. For estimating the key inputs of our decision-making framework, we utilized an exponentially weighted moving average (EWMA) which places more emphasis on recent data than the conventional simple moving average (SMA). We empirically analyzed the investment results of the decision-making framework with the same 15 stocks in Samsung Group Funds found in the Korean stock market between 2007 and 2011. This five-year investment horizon is marked by global financial crises including the U.S. subprime mortgage crisis, the collapse of Lehman Brothers, and the European sovereign-debt crisis. We measure portfolio performance in terms of rate of return, standard deviation of returns, and Sharpe ratio. Results are compared with the following benchmarks : 1) KOSPI, 2) Samsung Group Funds, 3) Talmudic portfolio based on the na$\ddot{i}$ve 1/N rule, and 4) Markowitz's model with SMA. We performed sensitivity analyses on all the input parameters that are necessary for designing an investment decision-making framework : smoothing constant for EWMA, minimum required expected return for the portfolio, and portfolio rebalancing period. In conclusion, appropriate use of the comprehensive investment decision-making framework based on the Markowitz's model integrated with EWMA proves to achieve outstanding performance compared to the benchmarks.

한국 주식시장에서 마코위츠 포트폴리오 선정 모형의 입력 변수의 정확도에 따른 투자 성과 연구 (Investment Performance of Markowitz's Portfolio Selection Model over the Accuracy of the Input Parameters in the Korean Stock Market)

  • 김홍선;정종빈;김성문
    • 한국경영과학회지
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    • 제38권4호
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    • pp.35-52
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    • 2013
  • Markowitz's portfolio selection model is used to construct an optimal portfolio which has minimum variance, while satisfying a minimum required expected return. The model uses estimators based on analysis of historical data to estimate the returns, standard deviations, and correlation coefficients of individual stocks being considered for investment. However, due to the inaccuracies involved in estimations, the true optimality of a portfolio constructed using the model is questionable. To investigate the effect of estimation inaccuracy on actual portfolio performance, we study the changes in a portfolio's realized return and standard deviation as the accuracy of the estimations for each stock's return, standard deviation, and correlation coefficient is increased. Furthermore, we empirically analyze the portfolio's performance by comparing it with the performance of active mutual funds that are being traded in the Korean stock market and the KOSPI benchmark index, in terms of portfolio returns, standard deviations of returns, and Sharpe ratios. Our results suggest that, among the three input parameters, the accuracy of the estimated returns of individual stocks has the largest effect on performance, while the accuracy of the estimates of the standard deviation of each stock's returns and the correlation coefficient between different stocks have smaller effects. In addition, it is shown that even a small increase in the accuracy of the estimated return of individual stocks improves the portfolio's performance substantially, suggesting that Markowitz's model can be more effectively applied in real-life investments with just an incremental effort to increase estimation accuracy.

마코위츠 포트폴리오 선정 모형을 기반으로 한 투자 알고리즘 개발 및 성과평가 : 미국 및 홍콩 주식시장을 중심으로 (Development and Evaluation of an Investment Algorithm Based on Markowitz's Portfolio Selection Model : Case Studies of the U.S. and the Hong Kong Stock Markets)

  • 최재호;정종빈;김성문
    • 경영과학
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    • 제30권1호
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    • pp.73-89
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    • 2013
  • This paper develops an investment algorithm based on Markowitz's Portfolio Selection Theory, using historical stock return data, and empirically evaluates the performance of the proposed algorithm in the U.S. and the Hong Kong stock markets. The proposed investment algorithm is empirically tested with the 30 constituents of Dow Jones Industrial Average in the U.S. stock market, and the 30 constituents of Hang Seng Index in the Hong Kong stock market. During the 6-year investment period, starting on the first trading day of 2006 and ending on the last trading day of 2011, growth rates of 12.63% and 23.25% were observed for Dow Jones Industrial Average and Hang Seng Index, respectively, while the proposed investment algorithm achieved substantially higher cumulative returns of 35.7% in the U.S. stock market, and 150.62% in the Hong Kong stock market. When compared in terms of Sharpe ratio, Dow Jones Industrial Average and Hang Seng Index achieved 0.075 and 0.155 each, while the proposed investment algorithm showed superior performance, achieving 0.363 and 1.074 in the U.S. and Hong Kong stock markets, respectively. Further, performance in the U.S. stock market is shown to be less sensitive to an investor's risk preference, while aggressive performance goals are shown to achieve relatively higher performance in the Hong Kong stock market. In conclusion, this paper empirically demonstrates that an investment based on a mathematical model using objective historical stock return data for constructing optimal portfolios achieves outstanding performance, in terms of both cumulative returns and Sharpe ratios.