1a. The effective rate of discount per annum is 8%. Calculate the corresponding force of interest, and nominal rate of interest per annum convertible every 4 months.

1b. Show that (Ia)n| = (an| nv^n)/i .

1c. A loan of 3000 is to be repaid in 20 equal annual installments. The effective rate of interest for the transaction is 10% per annum. Find the amount of each annual repayment assuming that payments are made in advance