9.1. Obtain the total periodic payments of a loan of 16,000 and 3 years term, with the following conditions:

a. Adjustable interest rate. Annual adjustment period: 1 year. Type of loan: Semi-annually constant principal repayments over 3 years. Nominal interest rate for the 1st period: 3% Interest rates for the remaining periods: the index rate plus 0.5 percentage points.

The index rate take the following values for the other periods:

ir = 0.05 ; ir = 0.045

Find the periodic payments to be made.

b. Monthly constant payments over each adjustment period. Annual adjustment period: 1 year.

Nominal interest rate for the 1st period : 5%. Remaining periods: index rate plus 0.3 percentage points. The index rates take the following values for each of the periods:

ir = 0.06 ; ir = 0.04

Find the periodic payments to be made.

c. Adjustable interest rate. Annual adjustment period: 1 year. Type of loan: quarterly constant principal repayments over 3 years. Nominal interest rate for the 1st period: 7% Interest rates for the remaining periods: the index rate plus 0.2 percentage points.

The index rates take the following values for the other periods:

ir = 0.035 ; ir = 0.05

Find the periodic payments to be made.