scholarly journals Good Approximation of Exponential Utility Function for Optimal Futures Hedging

2016 ◽  
Vol 06 (03) ◽  
pp. 457-463 ◽  
Author(s):  
Xu Guo ◽  
Donald Lien ◽  
Wing-Keung Wong
Author(s):  
Ibrahim Almojel ◽  
Jim Matheson ◽  
Pelin Canbolat

This paper focuses on the study of information in fleeting opportunities. An application example is the evaluation of business proposals by venture capitalists. The authors formulate the generic problem as a dynamic program where the decision maker can either accept a given deal directly, reject it directly, or seek further information on its potential and then decide whether to accept it or not. Results show well behaved characteristics of the optimal policy, deal flow value, and the value of information over time and capacity. It is presumed that the risk preference of the decision maker follows a linear or an exponential utility function. This approach is illustrated through several examples.


1979 ◽  
Vol 10 (3) ◽  
pp. 274-282 ◽  
Author(s):  
Jean Lemaire

We compute a merit-rating system for automobile third party liability insurance by two different ways, both with the help of an exponential utility function.(i) We apply the principle of zero utility to exponential utilities.(ii) We break the symmetry between the overcharges and the undercharges by weighting them differently through the introduction of a utility function, in order to penalize the overcharges.The results are applied to the portfolio of a Belgian company and compared to the premium system provided by the expected value principle.Deux méthodes différentes, basées sur l'emploi de fonctions d'utilité exponentielles nous permettent de définir un système bonus-malus en assurance automobile:(i) le principe de l'utilité nulle;(ii) la pénalisation des injustices de la compagnie, obtenue en pondérant les erreurs de prime au moyen d'une fonction d'utilité de manière à briser la symétrie entre les primes trop élevées et les primes trop basses.Les résultats théoriques sont appliqués au portefeuille d'une compagnie belge et comparés aux primes fournies par le principe de l'espérance mathématique.


1979 ◽  
Vol 10 (3) ◽  
pp. 325-329 ◽  
Author(s):  
M. J. Goovaerts ◽  
F. De Vylder

Gerber (1974) has given a characterization of the exponential utility function by proving the fact that a premium calculation principle of zero utility is iterative iff the underlying utility function is linear or exponential. In the present note we prove the more general result that the premium calculation principle introduced by Bühlmann, Gagliardi, Gerber and Straub (1977) is iterative iff the underlying function v is linear or exponential or when the principle is a mean value principle.


Author(s):  
Александр Александрович Нестеренко ◽  
Владимир Минирович Хаметов ◽  
Alexander Nesterenko ◽  
Vladimir Khametov

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