The risk of an insurance contract is the occurrence of the insured event. By definition the occurrence of this risk takes place by chance and is therefore unpredictable. Using the law of large numbers, the risk can be calculated for a sufficiently large insurance portfolio. The larger the portfolio consisting of similar insurance policies, the more accurately the result (loss) can be estimated. For this reason, insurance companies strive for growth.
Premiums earned (gross) |
€ 000 |
2010 |
5,343,587 |
2009 |
4,994,207 |
2008 |
4,901,214 |
2007 |
4,432,436 |
2006 |
4,444,802 |
2005 |
4,299,227 |
2004 |
3,560,558 |
2003 |
2,967,476 |
The principle of insurance is built on the law of large numbers: only a few of those at risk will actually suffer a loss. For the individual, the occurrence of loss is uncertain; for the collective, however, it is largely determined. The loss-bearing and loss-free risks theoretically cancel each other out. The actuarial risk now exists in the danger that the actual claims for a certain period deviate from those expected. This risk can be divided into the chance risk, the change risk and the error risk.
The chance risk means that higher than expected losses can occur by pure chance. Amongst other things, the change risk means that unforeseen changes to the risk factors have an impact on the actual loss payments. The error risk comes about from deviations arising through incorrect assessment of the risk factors.