Question 1 about Reinvestment. Two people, two situations.

student A invests $1000 at the beginning of each year for 10 years with an annual effective rate of 8%, and reinvests the interest with an annual effective rate of 8%. At the end of 10 years, her investment has value of A1.

Student B invests $1000 at the beginning of each year for 10 years at an annual effective rate of 9% and reinvests the interest at an annual effective rate of 7%. At the end of 10 years, his investment has value A2.

Calculate A1, A2 and the yield rate of Student B's investment.

Question 2:

There is an investment of $1,800 and someone plans to pay $110 at the end of each year with the annual interest rate is 7%. Try to determine the times of the regular payments and the last smaller payment under the assumption that the smaller payments are:

i) Payment is made on the date of the last regular payment.

ii) One year after the last regular payment.

iii) If he wants to repay the rest of the loan at the end of fifth year. How much does he need to repay in addition to the monthly repayment amount?