1. You deposit $7500 annually into a life insurance fund for the next 20 years, at which time you plan to retire. Instead of a lump sum, you wish to receive annuities for the next 20 years. What is the annual payment you expect to receive beginning in year 21 if you assume an interest rate of 7 percent for the whole time period?
2. Suppose the loss ratio on a line of property insurance is 76 percent, the expense is 25 percent, the dividend ratio is 2 percent, and the investment yield is 7 percent. How profitable is this line?
3. An insurance company's projected loss ratio is 80 percent, its loss adjustment expense ratio is 18 percent, and the dividend ratio is 3 percent. What is the minimum investment yield the company requires to earn a 4% profit?