TY - JOUR T1 - Quadratic Investment Portfolio Without a Risk-Free Asset Based on Value-at-Risk AU - Supian, Sudradjat AU - , Sukono AU - Sidi, Pramono AU - Susanti, Dwi JO - Journal of Engineering and Applied Sciences VL - 12 IS - 19 SP - 4846 EP - 4850 PY - 2017 DA - 2001/08/19 SN - 1816-949x DO - jeasci.2017.4846.4850 UR - https://makhillpublications.co/view-article.php?doi=jeasci.2017.4846.4850 KW - Investment portfolio KW -value-at-risk KW -short-selling KW -maximization KW -minimization KW -discussions AB - This study will discuss the problems of quadratic investment portfolio without a risk-free asset based on value-at-risk. It is assumed that the risk of an investment portfolio measured by value-at-risk. The resolution of problems that do include: first, formulate models the trade-off problem. Secondly, formulate expectation maximization model of the problem. Third, formulate model minimization of value-at-risk problem. Based on the results of the discussions can be concluded that the trade-off between risk and expected return does not only depend on the type of investor but also on the size of the investment. In a realistic investment situation, it is likely that more constraints, e.g., restriction on short-selling, need to be considered. ER -