In principle, implementation of portfolio investment strategies through market orders at the NYSE open would be problematic because of execution price uncertainty. This paper measures the impact, by comparing the actual value at the end of the trading day against the value one would have obtained if it were possible to observe opening prices when submitting orders. For positively weighted portf...

We consider a group of mean-variance investors with mimicking desire such that each investor is willing to penalize deviations of his portfolio composition from compositions of other group members. Penalizing norm constraints are already applied for statistical improvement of Markowitz portfolio procedure in order to cope with estimation risk. We relate these penalties to individuals’ wish of s...

Using the language of convex analysis we describe key results in several important areas of finance: portfolio theory, financial derivative trading and pricing and consumption based asset pricing theory. We hope to emphasize the importance of convex analysis in financial mathematics and also bring attention to researchers in convex analysis interesting issues in financial applications.

The portfolio optimization problem has become a standard financial engineering problem since the pioneering work of Markowitz on Modern Portfolio Theory. It aims to find an optimal allocation of capital among a set of assets by simultaneously minimizing the risk and maximizing the return of the investment. In the theoretical case of linear constraints, this problem is basically solved by quadra...

portfolio theory assumes that investors accept risk. this means thatin the equal rate of return on the two assets, the assets were chosenthat have a lower risk level. modern portfolio theory is accepted byinvestors who believe that they are not cope with the market. sothey keep many different types of securities in order to access theoptimum efficiency rate that is close to the rate of return o...

Domestic investors hold a substantially larger proportion of their wealth portfolios in domestic assets than standard portfolio theory would suggest, a phenomenon called "equity home bias." In the absence of this bias, investors would optimally diversify domestic output risk using foreign equities. Therefore, consumption growth rates would tend to comove across countries even when output growth...

In this article we have reviewed ``Modern Portfolio Analysis'' and outlined some important topics for further research. Issues discussed include the history and future of portfolio theory, the key inputs necessary to perform portfolio optimization, speci®c problems in applying portfolio theory to ®nancial institutions, and the methods for evaluating how well portfolios are managed. Emphasis is ...