Price Optimisation and Statistical Modeling of Dependent Risks

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Serval ID
serval:BIB_B79A2F1BFD0E
Type
PhD thesis: a PhD thesis.
Collection
Publications
Institution
Title
Price Optimisation and Statistical Modeling of Dependent Risks
Author(s)
Tamraz Maissa
Director(s)
Hashorva Enkelejd
Institution details
Université de Lausanne, Faculté des hautes études commerciales
Address
Quartier UNIL-Chamberonne
Bâtiment Extranef
1015 Lausanne
Publication state
Accepted
Issued date
27/06/2018
Language
english
Number of pages
210
Abstract
The key objectives of insurance companies on a yearly basis are two-fold.
First, given the high competition in the insurance market, insurers compete intensively on price, quality of service, financial strength and many other factors across every lines of business. However, they are mainly concerned in increasing their profit, generate more sales and retain existing customers at the end of the calendar year in order to stand out from their competitors. In this respect, a new and evolving concept has recently been introduced in the scope of insurance; Price Optimisation. It is referred to the practice of increasing or decreasing premium rates of policyholders based on non-related risk factors. In this thesis, we show that the optimisation problems rely on an appropriate modeling of the elasticity of the customer due to premium change for the cases of new and renewal business.
Secondly, nowadays, insurance companies are governed by new regulations requiring them to hold a certain amount of capital, usually known as the Economic Capital, to cover their unexpected losses. The calculation of this capital falls under the Solvency II in Europe or the Swiss Solvency Test (SST) in Switzerland, for instance, and is based on an appropriate modeling of the dependence structure between insurance risks. This dependency is described by means of a copula. Therefore, in this thesis, we shall present applications of the copula approach in several insurance areas, namely in the computation of reinsurance premiums (Stop-Loss and Excess-of-Loss), risk aggregation and capital allocation when considering dependency between claims sizes and/or number of claims for two or more insurance portfolios as well as the fit of a copula model to some concrete insurance dataset.
In this thesis, we shall explore both objectives in details.

Keywords
Largest claims, copula, loss and ALAE, max-stable distribution, estimation, parametric family, market tariff, optimal tariff, price optimisation, renewal business, new business, Sequential Quadratic Programming, Sarmanov distribution, Mixed Erlang distribution, capital allocation, risk aggregation, Stop-loss reinsurance, dependency
Create date
11/07/2018 10:02
Last modification date
20/08/2019 15:25
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