A new class of signal analysis problems is considered, which appear in finance when it is required to detect the hidden dynamics of an investment instrument or a portfolio in respect to certain market or economic factors. Such problems can be naturally formulated as a complex of models concerned with estimating a nonstationary linear regression under additional constraints and requirements whic...

Multistage portfolio optimization models are difficult to solve when market risk is measured by Value-at-Risk (VaR), this paper proposes a soft method for solving VaR-based portfolio optimization models based on a soft optimization approach. In order to demonstrate the validity of the proposed soft method, we perform portfolio management experiments with real data from the New York stock market...

Among all aspects of IT Portfolio Management (ITPM), we find the key concept of efficient frontier to be the most applicable illustration for managing IT resources as multiple heterogeneous IT portfolios. To better assist decision-makers (e.g., senior executives) in selecting the most qualified IT portfolio choice, we propose a new IT Portfolio Efficient Frontier model that incorporates decisio...

We address the optimal consumption-investment-retirement problem considering stochastic labor income. We study the Merton problem assuming that the agent has to take four different decisions: the retirement date which is irreversible; the labor and the consumption rate and the portfolio decision before retirement. After retirement the agent only chooses the portfolio and the consumption rate. W...

The general investment problem concerns the allocation of wealth among m assets (stocks) to generate high returns with low risk or uncertainty. Cover and Ordentlich consider this problem from an information theoretic perspective in the case where a side information sequence aids the investment decisions but no assumptions are made on the relative likelihoods (probabilities) of stock returns seq...

in traditional portfolio selection model coefficients often are certain and deterministic, but in real world these coefficients are probabilistic. so decision maker cannot estimate them exactly. financial optimization is one of the most attractive areas in decision under uncertainty. in the portfolio selection problem the decision maker considers simultaneously conflicting objectives such as ra...

In this article, we investigate risk return characteristics and diversification benefits when private equity is used as a portfolio component. We use a unique dataset describing 642 US-American portfolio companies with 3620 private equity investments. Information about precisely dated cash flows at the company level enables for the first time a cash flow equivalent and simultaneous investment s...

In this paper, we show that, similarly to the fact that distributing the investment between several independent financial instruments decreases the investment risk, using a combination of several medicines can decrease the medicines’ side effects. Moreover, the formulas for optimal combinations of medicine are the same as the formulas for the optimal portfolio, formulas first derived by the Nob...

We consider a problem where an investment manager must allocate an available budget among a set of fund managers, whose asset class allocations are not precisely known to the investment manager. In this paper, we propose a robust framework that takes into account the uncertainty stemming from the fund managers’ allocation, as well as the more traditional uncertainty due to uncertain asset class...

The existence of an active and prosperous capital market is always recognized as one of the signs of international development in the countries. The most important issue faced by investors in these markets is the decision to choose the appropriate securities for investment and formation of optimal portfolio. The rating of companies accepted in stock exchange is a complete mirror of their status...