Question

Lloyd is a divorce attorney who practices law in Florida. He wants to join the American Divorce Lawyers Association (ADLA). The membership dues for the ADLA are $750 per year and must be paid at the beginning of each year. However, the ADLA also has an option for members to buy a lifetime membership today for $8,000 and never have to pay annual membership dues.
Obviously, the lifetime membership isn't a good deal if you only remain a member for a couple of years, but if you remain a member for 40 years, it's a great deal. Suppose that the appropriate interest rate is 7.9%. What is the minimum number of years that Lloyd must remain a member of the ADLA so that the lifetime membership is cheaper (on a present value basis) than paying $750 in annual membership dues?

Answer 1

Answer:

13 years

Explanation:

Note that, if we add the annual interest rate of 7.9% to $8000 [(0.079*8000)+8000] we get a total value of $8632. We perform random division of the 8632 with 11 12, 13 years we note that at 13 years the total annual payment is lowest.

Such that 8632/13 years= $664 lower than paying $750.