473 research outputs found

    Some Remarks on IBNR Evaluation Techniques

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    In this short paper we discuss a new methodology for estimating reserves for IBNR (incurred but not reported) claims.

    De nabije toekomst van het Actuariaat in Leuven

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    Toespraak van Prof. J. Dhaene op de Academische Zitting op 1 febniari 2001 te Leuven naar aanleiding van de viering van 60 jaar actuariële opleiding en ter gelegenheid van het toekennen van een eredoctoraat aan Prof. Dr. H. Gerber.

    Bounds for the price of discrete arithmetic Asian options.

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    In this paper the pricing of European-style discrete arithmetic Asian options with fixed and floating strike is studied by deriving analytical lower and upper bounds. In our approach we use a general technique for deriving upper (and lower) bounds for stop-loss premiums of sums of dependent random variables, as explained in Kaas, Dhaene and Goovaerts (2000), and additionally, the ideas of Rogers and Shi (1995) and of Nielsen and Sandmann (2003). We are able to create a unifying framework for discrete Asian options through these bounds, that generalizes several approaches in the literature as well as improves the existing results. We obtain analytical and easily computable bounds. The aim of the paper is to formulate an advice of the appropriate choice of the bounds given the parameters, investigate the effect of different conditioning variables and compare their efficiency numerically. Several sets of numerical results are included. We also show that the hedging using these bounds is possible. Moreover, our methods are applicable to a wide range of (pricing) problems involving a sum of dependent random variables.Asian option; Choice; Efficiency; Framework; Hedging; Methods; Options; Premium; Pricing; Problems; Random variables; Research; Stop-loss premium; Variables;

    Remarks on quantiles and distortion risk measures

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    How to Determine the Capital Requirement for a Portfolio of Annuity Liabilities

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    This paper illustrates an analytic method that can be used to determine the total capital requirements necessary to properly provide for the future obligations of a portfolio of annuity liabilities and to protect the enterprise from the related risks it faces. This example is based on the work of Kaas, Dhaene and Goovaerts (2000).

    On the characterization of premium principle with respect to pointwise comonotonicity

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    A premium principle is an economic decision rule used by the insurer in order to determine the amount of the net premium for each risk in his portfolio. In this paper we investigate the problem how to determine the premium principle to be used. In Goovaerts & Dhaene (1997), DTEW Research Report 9740, K.U.Leuven, we can see some desirable properties of a premium principle. We consider a premium principle for risks of any sign, and prove a representation of premium principle without some property which involves the distribution of a risk. Later we introduce this property as a corollary
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