Optimal control of the surplus in an insurance policy
- Authors
- Jeong, Mi Ock; Lee, Eui Yong
- Issue Date
- Dec-2010
- Publisher
- KOREAN STATISTICAL SOC
- Keywords
- Continuous time surplus process; Long run average cost; Optimal investment policy
- Citation
- JOURNAL OF THE KOREAN STATISTICAL SOCIETY, v.39, no.4, pp 431 - 437
- Pages
- 7
- Journal Title
- JOURNAL OF THE KOREAN STATISTICAL SOCIETY
- Volume
- 39
- Number
- 4
- Start Page
- 431
- End Page
- 437
- URI
- https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/13083
- DOI
- 10.1016/j.jkss.2009.09.002
- ISSN
- 1226-3192
1876-4231
- Abstract
- A classical continuous time surplus process is modified by adding two actions If the level of the surplus goes below tau >= 0 we increase the level of the surplus up to initial level u > tau by injecting capital to the surplus Meanwhile the excess amount of the surplus over V > u is invested continuously to other business After assigning several costs related to managing the surplus we obtain the long-run average cost per unit time and illustrate a numerical example to show how to find an optimal investment policy minimizing the cost (C) 2009 The Korean Statistical Society Published by Elsevier B V All rights reserved
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