Interactive approach based on stochastic dominance
Maciej Nowak (2004)
Control and Cybernetics
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Maciej Nowak (2004)
Control and Cybernetics
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Łukasz Delong (2012)
Applicationes Mathematicae
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We investigate novel applications of a new class of equations which we call time-delayed backward stochastic differential equations. Time-delayed BSDEs may arise in insurance and finance in an attempt to find an investment strategy and an investment portfolio which should replicate a liability or meet a target depending on the strategy applied or the past values of the portfolio. In this setting, a managed investment portfolio serves simultaneously as the underlying security on which...
Tomáš Rusý, Miloš Kopa (2018)
Kybernetika
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We build a multi-stage stochastic program of an asset-liability management problem of a leasing company, analyse model results and present a stress-testing methodology suited for financial applications. At the beginning, the business model of such a company is formulated. We introduce three various risk constraints, namely the chance constraint, the Value-at-Risk constraint and the conditional Value-at-Risk constraint along with the second-order stochastic dominance constraint, which...
Chang, Mou-Hsiung (2007)
Journal of Applied Mathematics and Stochastic Analysis
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Ningombam Sanjib Meitei, Snigdha Banerjee (2013)
RAIRO - Operations Research - Recherche Opérationnelle
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Analysis of empirical sales data lead us to consider newsboy model for four practical market conditions arising from the presence/absence of stochastic lead time and exogenous linear temporal decline in selling price when distribution of the stochastic demand depends upon initial selling price. Viability of the solutions is discussed for three strategies of obtaining optimal initial selling price and/or ordering quantity. Numerical studies are conducted to assess the effects of lead...
Wan, Zhong, Hao, Aiyun, Meng, Fuzheng, Hu, Chaoming (2010)
Journal of Inequalities and Applications [electronic only]
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Igor Melicherčik, Daniel Ševčovič (2010)
The Yugoslav Journal of Operations Research
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Andrzej Palczewski (2008)
Banach Center Publications
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The paper presents an application of stochastic control methods to fixed income management in an incomplete market with external economic factors. The objective of an investor is the minimization of a shortfall risk. The problem is reduced to the multidimensional Bellman equation. It is shown that for a large class of loss functions the equation possesses a continuous solution. We also consider loss functions from the HARA class and prove that for such functions the Hamilton-Jacobi-Bellman...
Mukuddem-Petersen, J., Petersen, M.A., Schoeman, I.M., Tau, B.A. (2007)
Journal of Applied Mathematics
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Laureano F. Escudero (1998)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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We present a model1ing framework for multistage planning problems under uncertainty in the objective function coefficients and right-hand-side. A multistagy scenario analysis scheme with partial recourse is used. So, the decisíon polícy can be implemented for a given set of initial time periods (so-called implementable time stage), such that the solution for the other periods lioes not need' to be anticipated and, then, it depends upon the scenario group to occur at each stage. In any...
Huang, Zongyuan, Wu, Zhen (2010)
Mathematical Problems in Engineering
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A. Alonso-Ayuso, L. F. Escudero, M.T. Ortuño (2007)
SORT
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We present a modelling framework for two-stage and multi-stage mixed 0-1 problems under uncertainty for strategic Supply Chain Management, tactical production planning and operations assignment and scheduling. A scenario tree based scheme is used to represent the uncertainty. We present the Deterministic Equivalent Model of the stochastic mixed 0-1 programs with complete recourse that we study. The constraints are modelled by compact and splitting variable representations via scenarios. ...