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Portfolio optimization for pension plans under hybrid stochastic and local volatility

Sung-Jin Yang, Jeong-Hoon Kim, Min-Ku Lee (2015)

Applications of Mathematics

Based upon an observation that it is too restrictive to assume a definite correlation of the underlying asset price and its volatility, we use a hybrid model of the constant elasticity of variance and stochastic volatility to study a portfolio optimization problem for pension plans. By using asymptotic analysis, we derive a correction to the optimal strategy for the constant elasticity of variance model and subsequently the fine structure of the corrected optimal strategy is revealed. The result...

Poset-valued preference relations

Vladimír Janiš, Susana Montes, Branimir Šešelja, Andreja Tepavčević (2015)

Kybernetika

In decision processes some objects may not be comparable with respect to a preference relation, especially if several criteria are considered. To provide a model for such cases a poset valued preference relation is introduced as a fuzzy relation on a set of alternatives with membership values in a partially ordered set. We analyze its properties and prove the representation theorem in terms of particular order reversing involution on the co-domain poset. We prove that for every set of alternatives...

Poverty measures and poverty orderings.

Miguel A. Sordo, Héctor M. Ramos, Carmen D. Ramosm (2007)

SORT

We examine the conditions under which unanimous poverty rankings of income distributions can be obtained for a general class of poverty indices. The "per-capita income gap" and the Shorrocks and Thon poverty measures are particular members of this class. The conditions of dominance are stated in terms of comparisons of the corresponding TIP curves and areas.

Power analysis of voting by count and account

Midori Hirokawa, Milan Vlach (2006)

Kybernetika

Using players’ Shapley–Shubik power indices, Peleg [4] proved that voting by count and account is more egalitarian than voting by account. In this paper, we show that a stronger shift in power takes place when the voting power of players is measured by their Shapley–Shubik indices. Moreover, we prove that analogous power shifts also occur with respect to the absolute Banzhaf and the absolute Johnston power indices.

Preface

Rama Cont, Jean-Pierre Fouque, Bernard Lapeyre (2007)

ESAIM: Probability and Statistics

Preface

Ronald Hoppe, Karl Kunisch, Jan Sokołowski, Antoni Żochowski (2010)

Control and Cybernetics

Préférences et rationalité stochastiques

Pascal Bouyaux (1990)

Mathématiques et Sciences Humaines

Le but de cet article est de procéder à une présentation pédagogique d'un concept étendu de rationalité, la rationalité stochastique. Dans une première partie, nous exposons le problème à l'aide d'un exemple simple et posons un ensemble de définitions préliminaires. Puis, dans une seconde partie, nous présentons le résultat fondamental de Falmagne (1978) s'appliquant aux situations de choix multiples ; l'approche ensembliste de cet auteur est formalisée à partir du concept de polynômes de Block-Marschak...

Premium evaluation for different loss distributions using utility theory

Harman Preet Singh Kapoor, Kanchan Jain (2011)

Discussiones Mathematicae Probability and Statistics

For any insurance contract to be mutually advantageous to the insurer and the insured, premium setting is an important task for an actuary. The maximum premium ( P m a x ) that an insured is willing to pay can be determined using utility theory. The main focus of this paper is to determine P m a x by considering different forms of the utility function. The loss random variable is assumed to follow different Statistical distributions viz Gamma, Beta, Exponential, Pareto, Weibull, Lognormal and Burr. The theoretical...

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