Suppose a company purchases employers liability insurance to insure against accidents in the workplace. The probability of an accident occurring is 0.02. The insurance company has recommended that the company put on a workplace safety program, which will cost the company $800 to administer.

If the program is implemented correctly, the risk of accidents will reduce by 20 times. The insurance company cannot costlessly observe whether the safety program has been appropriately implemented. In the event an accident occurs, the value of the loss would be $600, 000.

One of the common ways insurance companies address the issue of moral hazard is by introducing deductibles, i.e, the insured party covers certain parts of the losses in the event of an accident. In this case, would the introduction of a 50,000 deductible address the moral hazard problem?

[Think of the expected payments in deductibles the firm has to pay under the two conditions]