Suppose you have just had a daughter who will go to Harvard in 18 years from now. Tuition there is currently $80,000 per year and is expected to increase annually by 6%. Your daughter will fund her tuition with a loan which she will receive in four installments to coincide with her tuition due dates. Assume that Harvard expects to be paid for the whole year at the beginning of the school year. So, tuition must be paid at dates 18 through 21.\ \ Assume the following:\ 1. Student loans charge 5% interest per year and must be paid in equal annual installments beginning 10 years from the graduation date. That is, the loan is repayable on dates 32, 33, 34, and 35.\ 2. Your daughter intends to start saving to repay the year after she graduates. She expects to save for 8 years. That is, she will save at dates 22 through 29. She will invest her savings in a fund that is expected to earn 15% per year. \ 3. After her 29th birthday, your daughter will leave the amount saved in a new fund that is expected to earn the same return as the student loan rate. That is, she will make no further savings deposits after age 29.\ \ A. Calculate the equal annual amount that your daughter must save to be able to pay off her loan.\ \ B. Calculate the equal annual amount that your daughter must save to be able to pay off her loan, if the loan was an interest free one.