Search results for "Insurance risk"
showing 7 items of 7 documents
Prawo ubezpieczeń społecznych a prawo ubezpieczeń gospodarczych (osobowych)
2018
Large deviations results for subexponential tails, with applications to insurance risk
1996
AbstractConsider a random walk or Lévy process {St} and let τ(u) = inf {t⩾0 : St > u}, P(u)(·) = P(· | τ(u) < ∞). Assuming that the upwards jumps are heavy-tailed, say subexponential (e.g. Pareto, Weibull or lognormal), the asymptotic form of the P(u)-distribution of the process {St} up to time τ(u) is described as u → ∞. Essentially, the results confirm the folklore that level crossing occurs as result of one big jump. Particular sharp conclusions are obtained for downwards skip-free processes like the classical compound Poisson insurance risk process where the formulation is in terms of total variation convergence. The ideas of the proof involve excursions and path decompositions for Mark…
Evaluation of Insurance Products with Guarantee in Incomplete Markets
2008
Abstract Life insurance products are usually equipped with minimum guarantee and bonus provision options. The pricing of such claims is of vital importance for the insurance industry. Risk management, strategic asset allocation, and product design depend on the correct evaluation of the written options. Also regulators are interested in such issues since they have to be aware of the possible scenarios that the overall industry will face. Pricing techniques based on the Black & Scholes paradigm are often used, however, the hypotheses underneath this model are rarely met. To overcome Black & Scholes limitations, we develop a stochastic programming model to determine the fair price of the mini…
Asset and Liability Management for Insurance Products with Minimum Guarantees: The UK Case
2006
Abstract Modern insurance products are becoming increasingly complex, offering various guarantees, surrender options and bonus provisions. A case in point are the with-profits insurance policies offered by UK insurers. While these policies have been offered in some form for centuries, in recent years their structure and management have become substantially more involved. The products are particularly complicated due to the wide discretion they afford insurers in determining the bonuses policyholders receive. In this paper, we study the problem of an insurance firm attempting to structure the portfolio underlying its with-profits fund. The resulting optimization problem, a non-linear program…
Koncepcja ryzyka socjalnego w polskim prawie ubezpieczeń społecznych
2020
Zarys koncepcji ryzyka socjalnego wpolskim prawie ubezpieczeń społecznych stworzono przy wykorzystaniu amerykańskiego (ekonomicznego) podejścia do teorii ryzyka ubezpieczeniowe-go ujmującego to pojęcie wkategoriach niebezpieczeństwa postrzeganego jako przyczyna realnych zdarzeń. Wkonsekwencji istota ochrony ubezpieczeniowej sprowadza się do odczuwania komfortu psychicznego (poczucia bezpieczeństwa materialnego) zapewnionego przez sam fakt ubezpieczenia. Tym samym za świadczenie wzajemne ztytułu bezwarunkowo opłacanej składki uważa się przejęcie iponoszenie ryzyka przez ubezpieczyciela, anie ewentualne wypłacenie świadczenia ubezpiecze-niowego. Mając to na uwadze, ryzyko socjalne należy rozp…
Insurance league: Italy vs. U.K
2003
Insurers are competing by adopting product innovations that provide the insured with integrated coverage for actuarial and financial risks. This article compares the contract structures of blended life policies between the insurance markets in Italy and the United Kingdom within the context of asset-liability management and welfare analysis. © Emerald Backfiles 2007.
The Fair Premium of an Equity—Linked Life and Pension Insurance
2002
An equity linked life and pension insurance contract consists of an nonlinear combination of a life and pension insurance with an investment strategy. In addition to the guaranteed payments the insured receives a bonus depending on the value of an investment strategy. The additional payment is similar to an Asian type option. Since the insurance contract combines mortality and financial risks in a nonlinear way, the value or premium of the contract must reflect these uncertainties. Within this context a premium sequence is called fair if the accumulated expected discounted premium is equal to the accumulated expected discounted payments of the contract. This paper shows the existence of a f…