Artikel

Optimal deterministic investment strategies for insurers

We consider an insurance company whose risk reserve is given by a Brownian motion with drift and which is able to invest the money into a Black-Scholes financial market. As optimization criteria, we treat mean-variance problems, problems with other risk measures, exponential utility and the probability of ruin. Following recent research, we assume that investment strategies have to be deterministic. This leads to deterministic control problems, which are quite easy to solve. Moreover, it turns out that there are some interesting links between the optimal investment strategies of these problems. Finally, we also show that this approach works in the L'evy process framework.

Language
Englisch

Bibliographic citation
Journal: Risks ; ISSN: 2227-9091 ; Volume: 1 ; Year: 2013 ; Issue: 3 ; Pages: 101-118 ; Basel: MDPI

Classification
Wirtschaft
Subject
deterministic control problem
mean-variance
risk measure
Lévy process

Event
Geistige Schöpfung
(who)
Bäuerle, Nicole
Rieder, Ulrich
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2013

DOI
doi:10.3390/risks1030101
Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Bäuerle, Nicole
  • Rieder, Ulrich
  • MDPI

Time of origin

  • 2013

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