4. Maggy will repay a loan of L with 120 quarterly payments. The first payment is made 1 quarter after taking out the loan, the first 80 quarterly payments are x and the last 40 quarterly payments are y. a) Give prospective and retrospective actuarial expressions for the balance of the loan after 60 payments and after 100 payments. Usej to denote the effective quarterly interest rate. Your answers should involve j,L,x, and/or y. B prospective 60 Bretrospective = B prospective Bretrospective = 100 b) If the nominal quarterly interest rate is i(4) = 4.8%, L = 200,000, and x = 3200, calculate the following three values: y, the principal portion of the 101st payment, and the total interest paid in the first 25 years. 4. Maggy will repay a loan of L with 120 quarterly payments. The first payment is made 1 quarter after taking out the loan, the first 80 quarterly payments are x and the last 40 quarterly payments are y. a) Give prospective and retrospective actuarial expressions for the balance of the loan after 60 payments and after 100 payments. Usej to denote the effective quarterly interest rate. Your answers should involve j,L,x, and/or y. B prospective 60 Bretrospective = B prospective Bretrospective = 100 b) If the nominal quarterly interest rate is i(4) = 4.8%, L = 200,000, and x = 3200, calculate the following three values: y, the principal portion of the 101st payment, and the total interest paid in the first 25 years