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This paper seeks to identify computationally efficient importance sampling (IS) algorithms for estimating large deviation probabilities for the loss on a portfolio of loans. Related literature typically assumes that realised losses on defaulted loans can be predicted with certainty, i.e., that...
Persistent link: https://www.econbiz.de/10012203783
This paper studies the effect of variance swap in hedging volatility risk under the mean-variance criterion. We … financial market is complete and contains three primitive assets: a bank account, a stock and a variance swap, where the … variance swap can be used to hedge against the volatility risk. In the second problem, only the bank account and the stock can …
Persistent link: https://www.econbiz.de/10012293125
In this paper, we discuss a generalization of the collective risk model and of Panjer's recursion. The model we consider consists of several business lines with dependent claim numbers. The distributions of the claim numbers are assumed to be Poisson mixture distributions. We let the claim...
Persistent link: https://www.econbiz.de/10012292820
defaults and credit default swap (CDS) spreads as special cases, which are derived analytically via a spectral expansion …
Persistent link: https://www.econbiz.de/10014230904
In a bonus-malus system in car insurance, the bonus class of a customer is updated from one year to the next as a function of the current class and the number of claims in the year (assumed Poisson). Thus the sequence of classes of a customer in consecutive years forms a Markov chain, and most...
Persistent link: https://www.econbiz.de/10010338093
This paper is concerned with an insurance risk model whose claim process is described by a Lévy subordinator process. Lévy-type risk models have been the object of much research in recent years. Our purpose is to present, in the case of a subordinator, a simple and direct method for...
Persistent link: https://www.econbiz.de/10010338318
In this paper, we generate boundary value problems for ruin probabilities of surplus-dependent premium risk processes, under a renewal case scenario, Erlang (2) claim arrivals, and a hypoexponential claims scenario, Erlang (2) claim sizes. Applying the approximation theory of solutions of linear...
Persistent link: https://www.econbiz.de/10012612558
We consider optimal dividend payment under the constraint that the with-dividend ruin probability does not exceed a given value α. This is done in most simple discrete De Finetti models. We characterize the value function V(s,α) for initial surplus s of this problem, characterize the...
Persistent link: https://www.econbiz.de/10012293314
Motivated by the EU Solvency II Directive, we study the one-year ruin probability of an insurer who makes investments and hence faces both insurance and financial risks. Over a time horizon of one year, the insurance risk is quantified as a nonnegative random variable X equal to the aggregate...
Persistent link: https://www.econbiz.de/10011643424
Optimal dividend payment under a ruin constraint is a two objective control problem which-in simple models-can be solved numerically by three essentially different methods. One is based on a modified Bellman equation and the policy improvement method (see Hipp (2003)). In this paper we use...
Persistent link: https://www.econbiz.de/10011811530