Capital Requirements modeling for market and non-life Premium Risk in a Dynamic Insurance Portfolio
Capital Requirements modeling for market and non-life Premium Risk in a Dynamic Insurance Portfolio
The IAA Sections
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uploaded September 13, 2022
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Speakers:Stefano Cotticelli
Description:
Solvency II requires for some years that EU insurance companies calculate minimum capital requirements to face the risk of insolvency, either in accordance with the Standard Formula or using a full or partial Internal Model. An Internal Model must be based on a market consistent valuation of assets and liabilities at a one-year time span, where a real-world probabilistic structure is used for the first year of projection. In this paper, we describe the major risks of a non-life insurance company, i.e. the non-life underwriting risk and market risk, focusing on the non-life premium risk, equity risk and interest rate risk. This analysis is made using some wellknown stochastic models in both the financial-actuarial literature and practical insurance business, i.e. the collective risk model for the non-life premium risk, the geometric Brownian motion for the equity risk and the G2++ model for the interest rate risk, where parameters are calibrated on current and real market data.
Tags:bond portfolionon-life premium riskdynamic insurance portfoliorisk reservegross premium amountinsurance portfolioclaim reservesexpense amountnon-dividend-paying stocksrisk-free-zero-coupon bondsasset value of portfoliostock portfoliostock priceshort-rateaggregate claim amountmulti line insurance companymotor third-party liabilitymotor other damagesgeneral third-party liabilitygaussian copulagumbel copulamarket risk
Categories:ASTIN / NON-LIFE