To insure you, Assurances Nochance Ltd offers the following plan: you will pay 20 annual payments of

$8,000 starting one year from today. Then, in year 21, you or your heirs will receive a pension for the

following 15 years. The discount rate used by the company to calculate your pension is 6%.

(a) What is the size of your annual pension? (5 points)

(b) If you could take a onetime lump sum payment 25 years from today instead of the pension, how

high would the equivalent lump sum payment have to be? (5 points)