Summary
When a country experiences deep economic depression the losses in credit
(surety) insurance may reach catastrophic dimensions for several years. During
that time the number of claims can be extraordinary large and, what is more
important, the proportion of excessive claims can be much higher than usual.
This kind of phenomenon is difficult to capture with the standard methods of risk
theory.
In this paper we study credit risk modelling in the economic cycle point of
view. First we discuss the usefulness of economic forecasts to actuaries. Then
we propose a model that utilises a modification of a well-known Markov process
description of an economic business cycle. The states of the used Markov
process represent economic expansion, recession and deep depression. The
Markov model fits well into the accumulation process of claims in consecutive
years. When a simple description of the states of the Markov process is found, this approach
leads to parsimonious modelling. The proposed actuarial model is used for
simulating purposes in order to study the effect of the economic cycle on the
needed pure premium and initial risk reserve. The choice of parameters for the
model is motivated by empirical observations. |