scholarly journals Multiple-priors optimal investment in discrete time for unbounded utility function

2018 ◽  
Vol 28 (3) ◽  
pp. 1856-1892 ◽  
Author(s):  
Romain Blanchard ◽  
Laurence Carassus
2018 ◽  
Vol 35 (1-2) ◽  
pp. 1-21
Author(s):  
Imke Redeker ◽  
Ralf Wunderlich

AbstractWe consider an investor facing a classical portfolio problem of optimal investment in a log-Brownian stock and a fixed-interest bond, but constrained to choose portfolio and consumption strategies that reduce a dynamic shortfall risk measure. For continuous- and discrete-time financial markets we investigate the loss in expected utility of intermediate consumption and terminal wealth caused by imposing a dynamic risk constraint. We derive the dynamic programming equations for the resulting stochastic optimal control problems and solve them numerically. Our numerical results indicate that the loss of portfolio performance is not too large while the risk is notably reduced. We then investigate time discretization effects and find that the loss of portfolio performance resulting from imposing a risk constraint is typically bigger than the loss resulting from infrequent trading.


2020 ◽  
Vol 130 (11) ◽  
pp. 6657-6688 ◽  
Author(s):  
Romain Blanchard ◽  
Laurence Carassus

Author(s):  
Aleksandras Vytautas Rutkauskas ◽  
Viktorija Stasytytė ◽  
Andrius Rutkauskas

The main objective of the paper is to present the solution to the problem of possibilities’ reliability management, which is an important problem of uncertainty (risk) economics. Also, the paper aims to propose adequate methods of stochastic optimization and reveal their broad implementation possibilities. Along with that, the concept of utility function is being disclosed, when we take into account not only the possibilities of prices and costs, but also their reliability, in order to achieve the highest value added in this process. The original methods of stochastic optimization are used, while searching for the optimal allocation of invested capital among the investment assets. Adequate investment portfolio is treated as theoretically sound and practically effective instrument for investment decision-making in capital and currency markets, as well as for other problems related with optimal resource allocation. The adequate portfolio supplements the modern portfolio by adding the third portfolio parameter – the reliability of return. Also, the utility function based on return, reliability and risk is used to find the optimal investment possibility for particular investor. The formed portfolio solutions were tested in the markets of NYSE, UK and France.


2016 ◽  
Vol 11 (01) ◽  
pp. 1650001 ◽  
Author(s):  
MOAWIA ALGHALITH ◽  
XU GUO ◽  
WING-KEUNG WONG ◽  
LIXING ZHU

In this paper we present two dynamic models of background risk. We first present a stochastic factor model with an additive background risk. Then, we present a dynamic model of simultaneous (correlated) multiplicative background risk and additive background risk. In so doing, we use a general utility function.


2017 ◽  
Vol 20 (03) ◽  
pp. 1750014 ◽  
Author(s):  
BIN ZOU

We study optimal investment problems in hedge funds for a loss averse manager under the framework of cumulative prospect theory. We obtain explicit solutions for a general utility function satisfying the Inada conditions and a piece-wise exponential utility function. Through a sensitivity analysis, we find that the manager reduces the risk of the hedge fund when her/his loss aversion, risk aversion, ownership in the fund, or management fee ratio increases. However, the increase of incentive fee ratio drives the manager to seek more risk in order to achieve higher prospect utility.


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