A Bound on the Probability of Ruin in Merton’s Model
- 作者: Morozov V.V.1, Babin V.A.1
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隶属关系:
- Faculty of Computational Mathematics and Cybernetics, Moscow State University
- 期: 卷 28, 编号 3 (2017)
- 页面: 368-376
- 栏目: II. Informatics
- URL: https://journals.rcsi.science/1046-283X/article/view/247632
- DOI: https://doi.org/10.1007/s10598-017-9370-5
- ID: 247632
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详细
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.
作者简介
V. Morozov
Faculty of Computational Mathematics and Cybernetics, Moscow State University
编辑信件的主要联系方式.
Email: vmorosov@mail.ru
俄罗斯联邦, Moscow
V. Babin
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Email: vmorosov@mail.ru
俄罗斯联邦, Moscow
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