Teaching calculator · car insurance

What it costs to insure a risk

Pick a car and a set of insured events. The calculator shows how the probability of an event and the size of the loss add up to an annual premium, and lets you live through a year with a thousand such cars.

Premium = Σ ( pi × lossi ) × kdriver × kregion ÷ (1 − loading)
QR code for insure.belyavskiy.ru
insure.belyavskiy.ru
Point your phone camera at the code to open the calculator
Annual insurance premium
—₽ / year
Net premium
—
Loading
—
Of car price
—

What the premium is made of

expected loss = probability × average loss
Insured event Probability, per 1,000 cars per year Average loss, ₽ Expected loss, ₽/year Share of premium

The same events for five cars

annual premium under the chosen terms

An expensive car pays more in roubles, but the share of its price may differ: theft and dealer-rate repairs grow with the price, while stone chips and scratches barely do.

A year in the life of 1,000 cars

random experiment
The insurer collects the premium from 1,000 identical cars, then the chosen events are rolled for each car. Run it several times and watch the result change.

The result appears after a run.