dorsal/arxiv
View SchemaDynamic reinsurance via martingale transport
| Authors | Beatrice Acciaio, Brandon Garcia Flores, Antonio Marini, Gudmund Pammer |
|---|---|
| Categories | |
| ArXiv ID | 2601.10375vv1 |
| URL | https://arxiv.org/abs/2601.10375 |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Abstract
We formulate a dynamic reinsurance problem in which the insurer seeks to control the terminal distribution of its surplus while minimizing the L2-norm of the ceded risk. Using techniques from martingale optimal transport, we show that, under suitable assumptions, the problem admits a tractable solution analogous to the Bass martingale. We first consider the case where the insurer wants to match a given terminal distribution of the surplus process, and then relax this condition by only requiring certain moment or risk-based constraints.
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"abstract": "We formulate a dynamic reinsurance problem in which the insurer seeks to control the terminal distribution of its surplus while minimizing the L2-norm of the ceded risk. Using techniques from martingale optimal transport, we show that, under suitable assumptions, the problem admits a tractable solution analogous to the Bass martingale. We first consider the case where the insurer wants to match a given terminal distribution of the surplus process, and then relax this condition by only requiring certain moment or risk-based constraints.",
"arxiv_id": "2601.10375",
"authors": [
"Beatrice Acciaio",
"Brandon Garcia Flores",
"Antonio Marini",
"Gudmund Pammer"
],
"categories": [
"q-fin.RM",
"math.OC",
"math.PR"
],
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
"title": "Dynamic reinsurance via martingale transport",
"url": "https://arxiv.org/abs/2601.10375",
"version": "v1"
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