Dax borrows $500,000 and the loan is governed by compound interest at an annual effective interest rate of 4.75%. Dax agrees to repay the loan by ten equally spaced payments, the first four of which are for $25,000 and the next six of which are for $70,000. When should he make the first payment (in years)?

Jordan was supposed to pay Courtney $4,200 6 months ago and $2,220 in 5 months. If he wants to repay this amount with two payments of $3,500 today and the balance amount in 3 months, calculate the balance amount. Assume interest is 2.40% p.a. and the agreed focal date is 3 months from now.

Travis currently owes $8,000 to a friend who is charging him interest of 2.70% p.m. He is required to settle the loan with two equal payments, one today and the other in five months. Calculate the size of the payments using five months as the focal date.

Ms Smith borrows 5000 at 5% annual effective interest, with payments at end of each year. The lender keeps the interest portion and accumulates the principal portion in a fund at 3.5% until loan is paid in full. Ms Smith pays 750 each year until a smaller payment will complete the loan payment. What is the amount of this last payment, including interest?