Tuition costs are expected to increase at a rate of 8% per year. The first year's tuition is due one year from now and will be $2,000. A fund is to be set up today to cover tuition costs for 4 years in an account that will earn interest rate (i). How large must the fund be if:

(a) i = 5%

(b) i = 8%

(c) i = 10%