Let X ∈ R denote a random stock market return vector, where Xj is the value of a one unit investment in stock j at the end of the trading day. We require that Xj ≥ 0 for j = 1, 2, . . . , m, that is, an investor cannot lose more than the invested capital. Let b, bj ≥ 0, ∑m j=1 bj = 1, denote a portfolio, that is, an allocation of investor’s capital across the investment alternatives. Let B deno...

The optimal financial investment (Portfolio) problemwas investigated by leading financial organizations and scientists. Nobel prizes were awarded for theModern Portfolio Theory (MPT) and further developments. The aim of these works was to define the optimal diversification of the assets depending on the acceptable risk level. In contrast, the objective of this work is to provide a flexible, eas...

As a definitive investment guideline for institutions and individuals, Markowitz’s modern portfolio theory is ubiquitous in financial industry. However, its noticeably poor out-of-sample performance due to the inaccurate estimation of parameters evokes unremitting efforts of investigating effective remedies. One common retrofit that blends portfolios from disparate investment perspectives has r...

T recent financial crisis highlights the importance of market crashes and the subsequent market illiquidity for optimal portfolio selection. We propose a tractable and flexible portfolio choice model where market crashes can trigger switching into another regime with a different investment opportunity set. We characterize the optimal trading strategy in terms of coupled integro-differential equ...

While a mutual fund’s investment style influences the returns it generates, little is known about how a manager’s execution of the style decision affects portfolio performance. Using both holdingsand returns-based techniques to measure the consistency with which managers approach their investment mandates, we demonstrate that, on average, more style-consistent funds significantly outperform les...

Portfolio selection is concerned with optimization of capital allocation to a large number of securities. In portfolio selection, risk analysis is one of the most important topics and research on quantitative definition of risk remains core of the topic. This paper proposes a novel risk definition for portfolio selection with uncertain returns. A risk curve is introduced and a new safe criterio...

Appropriate function of active management in common investment funds function depend on factors such as diversification, identification papers unrealistic pricing, market timing, and so on. Market timing are include changing the portfolio investment funds and market indices such as short-term bonds and make an asset depends on whether the market is expected in the whole of the assets to make be...

Is there a pecking order of cross-border investment in that countries become financially integrated through some types of investment rather than others? Using a novel database of bilateral capital stocks for all types of investment – foreign direct investment (FDI), portfolio equity securities, debt securities as well as loans – for a broad set of 77 countries, we show that such a pecking order...

We establish a model of insurance pricing with the assumption that the insurance price, insurer investment returns, and insured losses are correlated stochastic processes. We consider the effect of demand on price where the objective of the pricing model is to maximize the expected utility of the insurer’s terminal wealth. Based on a Hamilton–Jacobi–Bellman (HJB) equation, we simultaneously sol...

The mean-variance methodology for the portfolio selection problem, originally proposed by Markowitz, has been one of the most important research fields in modern finance. In this paper we will assume that (i) each investor can assign a welfare, or utility, score to competing investment portfolios based on the expected return and risk of the portfolios; and (ii) the rates of return on securities...