<p>Consider a continuous-time renewal risk model with dependent insurance risk and investment risk. We derive the asymptotics of the finite-time ruin probabilities for heavy-tailed claim sizes when the claim sizes and the return jumps caused by the systematic factors are arbitrarily dependent, while the claim sizes are pairwise strong quasi-asymptotically independent. Our findings indicate that, under the framework of regular variation, the asymptotic form of the finite-time ruin probability is insensitive to certain dependence structure among the claim sizes. Finally, numerical studies are conducted to verify the performance of the asymptotic results.</p>

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The Finite-Time Ruin Probabilities of a Renewal Risk Model with Arbitrarily Dependent Insurance and Financial Risks Caused by Systematic Factors

  • Chenghao Xu,
  • Jiangyan Peng,
  • Lei Zou

摘要

Consider a continuous-time renewal risk model with dependent insurance risk and investment risk. We derive the asymptotics of the finite-time ruin probabilities for heavy-tailed claim sizes when the claim sizes and the return jumps caused by the systematic factors are arbitrarily dependent, while the claim sizes are pairwise strong quasi-asymptotically independent. Our findings indicate that, under the framework of regular variation, the asymptotic form of the finite-time ruin probability is insensitive to certain dependence structure among the claim sizes. Finally, numerical studies are conducted to verify the performance of the asymptotic results.