A Bound on the Probability of Ruin in Merton’s Model


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Resumo

We consider a modified Merton’s model of optimal consumption that allows for the utility of continuous and terminal consumption. An explicit solution of the Hamilton-Jacoby-Bellman equation is found. An upper bound is constructed on the probability of an event involving either investor ruin or negative consumption.

Sobre autores

V. Morozov

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Autor responsável pela correspondência
Email: vmorosov@mail.ru
Rússia, Moscow

V. Babin

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Email: vmorosov@mail.ru
Rússia, Moscow

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