Risk premium estimation in MTPL insurance using copula: Turkey case

Download
2016
Usta, Erdener
Motor third part liability (MTPL) insurance has a significant share among non-life or property- casualty insurance businesses in Turkey. Like most countries, it is compulsory while the premium is determined in the competitive market by companies contrary to the few other countries where regulator sets the rates. In this study,the present value of the mean pure premium per policy is estimated based on the simulations using Clayton copula probability distribution function which also defines the dependence structure. We define also development factor, which determines the time required till the ultimate claim settlement takes place. Afterwards, loss severity-frequency method is applied to pure premium obtained using the joint distribution function of claim size and development factor defined by Clayton copula to find the present value of pure premium per policy. In addition, in case of underwritten premium without loadings and taxes are lower than the pure premium,analternative technical reserve type called, premium risk reserve,is introduced to aid the regulators.

Suggestions

The Comparison of risk measures on claim distributions: Turkish motor insurance case
Telkes, Cansu; Kestel, Sevtap Ayşe; Tank, Fatih; Department of Actuarial Sciences (2018)
In this thesis, the impact of various risk measures on pricing methodology of automobile insurance product by using the historical claim data which is obtained from one of the most reputable insurance company in Turkey is investigated. To model the distribution of claim experience for pricing methodology, four right skewed distributions are chosen, namely Gamma, Weibull, Lognormal and Pareto. Two classical methods, which are methods of moment estimation and maximum likelihood estimation, are used to estimat...
Pricing and risk minimizing hedging strategies for multiple life unit linked insurance policies using constant proportion portfolio insurance approach
Jafarova, Vafa; Gebizlioğlu, Ömer L.; Weber, Gerhard Wilhelm; Department of Financial Mathematics (2015)
A unit-linked life insurance policy (ULIP) is an agreement between an insurer and an insured that the insurance benefits or the obligations of the insurance company depend on the price of some specified stocks. As opposed to the classical life insurance, the payments to be paid at the occurrence of risk or at the end of the period of a unit linked life insurance contract can not be known at the time the policy is sold. Therefore, the benefits are random and unknown in advance, and based on this the obligati...
Valuation of life insurance contracts using stochastic mortality rate and risk process modeling
Çetinkaya, Şirzat; Hayfavi, Azize; Department of Financial Mathematics (2007)
In life insurance contracts, actuaries generally value premiums using deterministic mortality rates and interest rates. They have ignored them stochastically in most of the studies. However it is known that neither interest rates nor mortality rates are constant. It is also known that companies may encounter insolvency problems such as ruin, so the ruin probability need to be added to the valuation of the life insurance contracts process. Insurance companies should model their surplus processes to price som...
Urban disaster risk management with compulsory earthquake insurance in Turkey
Taylan, Arzu; Balamir, Murat; Werner, Ute; Department of City and Regional Planning (2009)
Turkish Compulsory Earthquake Insurance (ZDS) introduced after the 1999 Earthquakes aimed to lower financial burdens of the State and to promote safer building construction. High earthquake risk in Turkey necessitates risk mitigation, in line with the priority of the new international policy. Yet, the ZDS system operates without regard to risk mitigation, and it is far from being a compulsory condition. The ZDS system has low penetration ratios due to expectations of State-aid in the event of a disaster, wh...
Reinsurance pricing using exposure curve of two dependent risks
Akarsu, Gülçin; Kestel, Sevtap Ayşe; Lourdes Centeno, Maria de; Department of Actuarial Sciences (2018)
It is known that experience rating and exposure rating are used for insurance and reinsurance pricing by many practitioners. One of the main tools of exposure rating which is commonly used is exposure curves. It evaluates the percents of pure risk premium shared by insurer and reinsurer. In practice, the exposure curves which depend solely on claim history are widely utilized as an important indicator to determine the price and retention level based on the preferences and strategies of the insurer and reins...
Citation Formats
E. Usta, “Risk premium estimation in MTPL insurance using copula: Turkey case,” M.S. - Master of Science, Middle East Technical University, 2016.