• 충청수학회지
• /
• 제29권2호
• /
• pp.329-336
• /
• 2016

The optimal portfolio choice problem with a stochastic income is considered in continuous-time framework. We provide a novel approach to treat the stochastic income when the market is complete. The developed method is useful to obtain closed-form solutions of the problems under borrowing constraints.

• Industrial Engineering and Management Systems
• /
• 제16권1호
• /
• pp.118-128
• /
• 2017

Uncertain factors in finical markets make the prediction of future returns and risk of asset much difficult. In this paper, a model,assuming the admissible errors on expected returns and risks of assets, assisted in the multiperiod mean variance portfolio selection problem is built. The model considers transaction costs, upper bound on borrowing risk-free asset constraints, cardinality constraints and threshold constraints. Cardinality constraints limit the number of assets to be held in an efficient portfolio. At the same time, threshold constraints limit the amount of capital to be invested in each stock and prevent very small investments in any stock. Because of these limitations, the proposed model is a mix integer dynamic optimization problem with path dependence. The forward dynamic programming method is designed to obtain the optimal portfolio strategy. Finally, to evaluate the model, our result of a meaning example is compared to the terminal wealth under different constraints.

• The Journal of Asian Finance, Economics and Business
• /
• 제8권5호
• /
• pp.839-850
• /
• 2021

Risk-adjusted return is believed to be one of the optimal parameters to determine an optimum portfolio. A risk-adjusted return is a calculation of the profit or potential profit from an investment that takes into account the degree of risk that must be accepted to achieve it. This paper presents a new procedure in portfolio selection and utilizes these results to optimize the risk level of risk-adjusted Islamic stock portfolios. It deals with the weekly close price of active issuers listed on Jakarta Islamic Index Indonesia for a certain time interval. Overall, this paper highlights portfolio selection, which includes determining the number of stocks, grouping the issuers via technical analysis, and selecting the best risk-adjusted return of portfolios. The nominated portfolio is modeled using Quadratic Programming (QP). The result of this study shows that the portfolio built using the lowest Value at Risk (VaR) outperforms the market proxy on a risk-adjusted basis of M-squared and was chosen as the best portfolio that can be optimized using QP with a minimum risk of 2.86%. The portfolio with the lowest beta, on the other hand, will produce a minimum risk that is nearly 60% lower than the optimal risk-adjusted return portfolio. The results of QP are well verified by a heuristic optimizer of fmincon.

• 한국정보통신학회논문지
• /
• 제15권3호
• /
• pp.501-509
• /
• 2011

본 논문은 국가 정보통신(IT)분야 연구개발(R&D)사업에 대한 전략과제를 선정하기 위한 모형을 제시한 것으로 우리나라 정부의 New IT R&D정책인 Smile-curve에 맞는 전략과제 선정을 위해 포트폴리오 모형을 적용하였으며, 포트폴리오 모형 중에서 정부정책의 효과적 반영을 위해 일반적인 R-R(Risk-Return) 포트폴리오 모형을 국가 R&D 체계에 맞게 개발 적용하였다. 또한, R-R 포트폴리오 모형의 평가항목 중 평가항목의 객관성 확보를 위해 TRM(기술로드맵)과 TLS(기술수준조사)자료의 항목을 사용하였으며, AHP(계층화분석)를 통하여 국가전략성, 시장성, 기술성 등 평가항목별 가중치를 설정함으로써 국가 R&D전략과의 연계성을 강화하였다. 또한, 본 모형을 국가 IT R&D 전략과제 선정에 적용한 결과 의미 있는 검증값이 나왔으며, 사업선정단계에서부터 사업의 불확실성을 줄이고 성공률을 높이는 전략과제를 선정하는데 기여하고자 한다.

• 한국지능시스템학회논문지
• /
• 제22권3호
• /
• pp.386-393
• /
• 2012

최근에 금융공학 분야에 보고된 바 있는 확률적 구간이동 기반 포트폴리오 선정기법은, 최적 포트폴리오 선정을 수행하는 과정에서 부(wealth)의 변화에 대한 동적 특성 및 여러 제약조건(constraints)을 명시적으로 고려할 수 있는 방법이다. 확률적 구간이동 최적화 기반 포트폴리오 선정기법은, 그동안 구간이동 최적화 기법이 다수의 공학 문제에서 성취하였던 이론적 가치, 범용성 및 효용 등을 고려할 때 현대 포트폴리오 이론 분야에서 또 하나의 주요한 기술혁신이 될 가능성을 가지고 있다. 이에 본 논문에서는 이론적 고찰을 바탕으로 단순화된 SDP 기반 동적 포트폴리오 선정이 가능함을 관찰하고, 이를 한국 주식시장에 적용하는 시뮬레이션 연구를 수행하여 결과 수익률에 관한 의미 있는 성과를 거두었다.

• The Journal of Asian Finance, Economics and Business
• /
• 제8권9호
• /
• pp.45-52
• /
• 2021

Stock price fluctuations affect investor returns, particularly, in this pandemic situation that has triggered stock market shocks. As a result of this situation, investors prefer to move their money into a safer portfolio. Therefore, in this study, we approach an efficient portfolio model using smart beta and combining others to obtain a fast method to predict investment stock returns. Smart beta is a method to selects stocks that will enter a portfolio quickly and concisely by considering the level of return and risk that has been set according to the ability of investors. A smart beta portfolio is efficient because it tracks with an underlying index and is optimized using the same techniques that active portfolio managers utilize. Using the logistic regression method and the data of 100 low volatility stocks listed on the Indonesia stock exchange from 2009-2019, an efficient portfolio model was made. It can be concluded that an efficient portfolio is formed by a group of stocks that are aggressive and actively traded to produce optimal returns at a certain level of risk in the long-term period. And also, the portfolio selection model generated using the smart beta, beta, alpha, and stock variants is a simple and fast model in predicting the rate of return with an adjusted risk level so that investors can anticipate risks and minimize errors in stock selection.

• 한국경영과학회지
• /
• 제38권4호
• /
• pp.35-52
• /
• 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.

• The Journal of Asian Finance, Economics and Business
• /
• 제1권2호
• /
• pp.31-37
• /
• 2014

The portfolio selection is one of the most important and vital decisions that a real or legal person, who invests in stock market, should make. The main purpose of this article is the determination of the optimal portfolio with regard to relations among stock returns of companies which are active in Tehran's stock market. For achieving this goal, weekly statistics of company's stocks since Farvardin 1389 until Esfand 1390, has been used. For analyzing statistics and information and examination of stocks of companies which has change in returns, factors analysis approach and clustering analysis has been used (FC approach). With using multivariate analysis and with the aim of reducing the unsystematic risk, a financial portfoliois formed. At last but not least, results of choosing the optimal portfolio rather than randomly choosing a portfolio are given.

• 한국산학기술학회논문지
• /
• 제19권6호
• /
• pp.677-682
• /
• 2018

관계분석형 R&D 포트폴리오 방법은 중점기술의 선정기준이 독립적일 경우 각 선정기준의 고유한 목적과 특성을 반영하여 중점기술을 선정하는 방법이다. 본 연구는 중점기술을 도출하기 위한 방법으로 관계분석형 R&D 포트폴리오 방법을 제시하고 선정기준과 분석지표간의 상관관계 분석하는 1단계, 각 선정기준에 최적으로 부합하는 포트폴리오 매트릭스를 구성하는 2단계, 중점기술을 도출하는 3단계로 나누어 방법론을 적용하는 과정을 서술하였다. 본 연구에서는 중점기술을 선정하기 위한 4대 선정기준과 기술수준, 경제성, 기술성을 파악하기 위한 분석지표간의 상관관계를 HoQ를 응용한 표로 작성하였다. 상관관계표를 바탕으로 각 선정기준을 최적으로 만족하기 위해 고려해야 할 분석지표를 도출하였으며, 도출된 분석지표와 선정기술을 두 축으로 포트폴리오 매트릭스를 구성하였다. 4대 기준을 모두 충족하는 충족형 포트폴리오 P0와 4대 선정기준의 고유한 특성을 반영하여 각 선정기준을 효과적으로 충족하는 포트폴리오 P1~P4를 구성하여 중점기술을 도출하였다. 선정된 중점기술은 명세기반의 키워드 분석 등의 과정을 거쳐 미래 안보환경에 대응하기 위한 중점분야 선정에 활용될 수 있다.

• 한국경영과학회지
• /
• 제34권4호
• /
• pp.153-163
• /
• 2009

Unlike the mean-variance approach, the stochastic dominance approach is to form a portfolio that stochastically dominates a predetermined benchmark portfolio such as KOSPI. This study is to search a set of portfolio weights for the first-order stochastic dominance with maximum expected return by managing the constraint set and the objective function separately. A nonlinear programming algorithm was developed and tested with promising results against Korean stock market data sets.