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Bibliographic Details
Main Author: Antipov, Viktor
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.07235
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author Antipov, Viktor
author_facet Antipov, Viktor
contents This paper considers the ruin problem with random premiums, whose densities have rational Laplace transforms, and investments in a risky asset whose price follows a geometric Brownian motion. The asymptotic behavior of the ruin probability for large initial capital values is investigated.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07235
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Application of Laplace Transform to the Ruin Problem with Random Insurance Payments and Investments in a Risky Asset
Antipov, Viktor
Probability
Mathematical Finance
This paper considers the ruin problem with random premiums, whose densities have rational Laplace transforms, and investments in a risky asset whose price follows a geometric Brownian motion. The asymptotic behavior of the ruin probability for large initial capital values is investigated.
title On the Application of Laplace Transform to the Ruin Problem with Random Insurance Payments and Investments in a Risky Asset
topic Probability
Mathematical Finance
url https://arxiv.org/abs/2508.07235