scholarly journals Optimal portfolio of an investor in a financial market

2021 ◽  
Vol 1734 ◽  
pp. 012050
Author(s):  
Celestine Achudume ◽  
Olabisi O. Ugbebor
Risks ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 15
Author(s):  
Aditya Maheshwari ◽  
Traian A. Pirvu

We consider the problem of portfolio optimization with a correlation constraint. The framework is the multi-period stochastic financial market setting with one tradable stock, stochastic income, and a non-tradable index. The correlation constraint is imposed on the portfolio and the non-tradable index at some benchmark time horizon. The goal is to maximize a portofolio’s expected exponential utility subject to the correlation constraint. Two types of optimal portfolio strategies are considered: the subgame perfect and the precommitment ones. We find analytical expressions for the constrained subgame perfect (CSGP) and the constrained precommitment (CPC) portfolio strategies. Both these portfolio strategies yield significantly lower risk when compared to the unconstrained setting, at the cost of a small utility loss. The performance of the CSGP and CPC portfolio strategies is similar.


2005 ◽  
Vol 3 (2) ◽  
pp. 195
Author(s):  
José Euclides De Melo Ferraz ◽  
Christian Johannes Zimmer

In this article we propose a new way to include transaction costs into a mean-variance portfolio optimization. We consider brokerage fees, bid/ask spread and the market impact of the trade. A pragmatic algorithm is proposed, which approximates the optimal portfolio, and we can show that is converges in the absence of restrictions. Using Brazilian financial market data we compare our approximation algorithm with the results of a non-linear optimizer.


Mathematics ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 75
Author(s):  
Carlos Escudero ◽  
Sandra Ranilla-Cortina

We consider the non-adapted version of a simple problem of portfolio optimization in a financial market that results from the presence of insider information. We analyze it via anticipating stochastic calculus and compare the results obtained by means of the Russo-Vallois forward, the Ayed-Kuo, and the Hitsuda-Skorokhod integrals. We compute the optimal portfolio for each of these cases with the aim of establishing a comparison between these integrals in order to clarify their potential use in this type of problem. Our results give a partial indication that, while the forward integral yields a portfolio that is financially meaningful, the Ayed-Kuo and the Hitsuda-Skorokhod integrals do not provide an appropriate investment strategy for this problem.


2022 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Zilan Liu ◽  
Yijun Wang ◽  
Ya Huang ◽  
Jieming Zhou

<p style='text-indent:20px;'>This paper studies the optimal portfolio selection for defined contribution (DC) pension fund with mispricing. We adopt the general hyperbolic absolute risk averse (HARA) utility to describe the risk performance of the pension fund managers. The financial market comprises a risk-free asset, a pair of mispriced stocks, and the market index. Using the dynamic programming approach, we construct the Hamilton-Jacobi-Bellman (HJB) equation and obtain the explicit expressions for optimal portfolio choices with two methods. Finally, numerical analysis is presented to illustrate the sensitivity of the optimal portfolios to parameters of the financial market and contribution process. <b>200</b> words.</p>


2000 ◽  
Vol 03 (04) ◽  
pp. 641-659 ◽  
Author(s):  
AXEL GRORUD

This paper uses the enlargement of filtrations to analyze the financial strategy of an insider trader in a discontinuous time market where prices are driven by a Brownian motion and a compound Poisson process. We compare this strategy with that of a non-insider trader. The market is a chosen viable and complete; we can give an explicit expression of the optimal portfolio of the insider trader. On considère un marché financier dont les prix sont dirigés par un mouvement brownien et un processus de Poisson multivarié. Dans ce cadre le marché peut être complet et viable. Nous étudions la stratégie financière d'un agent qui a une information anticipant l'évolution du marché et nous la comparons un agent qui n'a pas cette information. La complétude du marché permet d'expliciter le portefeuille optimal de l'agent initié. Le grossissement de filtration permet de replacer une équation anticipante dans un cadre adapté.


2005 ◽  
pp. 72-89 ◽  
Author(s):  
Ya. Pappe ◽  
Ya. Galukhina

The paper is devoted to the role of the global financial market in the development of Russian big business. It proves that terms and standards posed by this market as well as opportunities it offers determine major changes in Russian big business in the last three years. The article examines why Russian companies go abroad to attract capital and provides data, which indicate the scope of this phenomenon. It stresses the effects of Russian big business’s interaction with the world capital market, including the modification of the principal subject of Russian big business from integrated business groups to companies and the changes in companies’ behavior: they gradually move away from the so-called Russian specifics and adopt global standards.


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