Titlebook: Stochastic Models in Life Insurance; Michael Koller Textbook 20121st edition Springer-Verlag Berlin Heidelberg 2012 Abstract valuation.Fai

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Textbook 20121st editionels presented make it possible to model life insurance policies by means of Markov chains. Two chapters covering ALM and abstract valuation concepts on the background of Solvency II complete this volume. .Numerous examples and a parallel treatment of discrete and continuous approaches help the reader to implement the theory directly in practice..

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A General Life Insurance Model,The life insurance market offers a wide range of different policies. It is, without expert knowledge, hardly possible to differentiate between all these policies. This is in particular due to the fact that the content of a life insurance is an abstract good.

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Stochastic Processes,In this section we will recall basic definitions from probability theory. These will be used throughout the book.

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Cash Flows and the Mathematical Reserve,In the previous two chapters we introduced several types of insurances and their setup. Based on this we will now answer several fundamental questions.

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Examples and Problems From Applications,In this chapter we take a closer look at problems which appear in applications. Moreover, the examples will show the scope of the Markov model and illustrate some special modelling tricks. The examples are based on the discrete model, since this is most popular in applications.

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Policies with Stochastic Interest Rate,In the previous chapter we looked at unit-linked policies. Based on these we will now consider policies with a technical interest rate modelled by a stochastic process, which is for example given by a stochastic differential equation.

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Policyholder Bonus Mechanism,The aim of this chapter is to introduce the concept of policyholder bonus and the corresponding effects.

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Michael KollerConcrete application of Markov chains in life insurance for pricing and reserving.Abstract valuation