You deposit $12,000 annually into a life insurance fund for the next 30 years, after which time you plan to retire.

A. If the deposits are made at the beginning of the year and earn an interest rate of 7%, what will be the amount of retirement funds at the end of year 30?

B. Instead of a lump sum, you wish to recieve annuties for the next 20 years (years 31-50). What is the constant annual payment you expect to receive at the beginning of each year if you assume an interest rate of 7% during the distribution period?

C. Repeat parts (a) and (b) assuming earning rates of 6% and 8% during the deposit period and earning rates of 6% and 8% during the distrubtion period. During which periods does the change in the earning rate have the greatest impact?