Index tracking is concerned with forming a portfolio that mimics a benchmark index as closely as possible. Traditionally, this implies that the returns between the index and the portfolio should differ as little as possible. However, investors might happily accept positive deviations (ie, returns higher than the index’s) while being particularly concerned with negative deviations. In this chapt...

Abstract. The portfolio optimization problem is formulated as a multi-objective mixed integer program. The problem considered is based on a single period model of investment. The problem objective is to allocate wealth on different assets to maximize the weighted difference of the portfolio expected return, the threshold of the probability that the return is not less than a required level and t...

We investigate a portfolio optimization problem under the threat of a market crash, where the interest rate of the bond is modeled as a Vasicek process, which is correlated with the stock price process. We adopt a non-probabilistic worst-case approach for the height and time of the market crash. On a given time horizon [0, T ], we then maximize the investor’s expected utility of terminal wealth...

this paper presents dynamic portfolio model based on the merton's optimal investment-consumption model, which combines dynamic synthetic put option using risk-free and risky assets. this paper is extended version of methodological paper published by yuan yao (2012) cite{26}. because of the long history of the development of foreign financial market, with a variety of financial derivatives, the ...

The paper considers robust optimization to cope with uncertainty about the stock return process in one period option hedging problems. The robust approach relates portfolio choice to uncertainty, making more cautious hedges when uncertainty is high. We represent uncertainty by a set of plausible expected returns of the underlying stocks and show that for this set the robust problem is a second ...

We test the relation between ambiguity aversion and five household portfolio choice puzzles: nonparticipation in equities, low allocations to equity, home-bias, own-company stock ownership, and portfolio under-diversification. In a representative US household survey, we measure ambiguity preferences using custom-designed questions based on Ellsberg urns. As theory predicts, ambiguity aversion i...

Considering the concept of clustering, the main idea of the present study is based on the fact that all stocks for choosing and ranking will not be necessarily in one cluster. Taking the mentioned point into account, this study aims at offering a new methodology for making decisions concerning the formation of a portfolio of stocks in the stock market. To meet this end, Multiple-Criteria Decisi...

the process of economic globalization and integration has had a tremendous growth in recent years and the convergence of various economic sectors, including the financial markets is increasingly in the spotlight. this increasing trend has strengthened investors' interests in the subject of convergence among the world's stock markets and investors experimentally show a passion for unde...

The paper describes the use of trade-off information to create effective stock portfolio characterized by the desired values of selected stock attributes. The basic notions behind such a process of portfolio creation are discussed and related to multi attribute analysis which is done by evaluating compensations among the attributes’ values. A framework to construct a portfolio using only compen...