Question $3$

A contract valued at $$102,000$ requires payments of $$4,875$ every three months. The interest is

$15\mathrm{.}73\%$ compounded quarterly.

a$)$ Assuming that the payments are made at the end of the period, calculate:

i$.$ the number of payment periods required under the contract.

ii$.$ the final payment using the fractional payment method.

iii. the final payment using retrospective method.

iv$.$ the final payment using the overpayment method.

b$)$ Assuming that the payments are made at the beginning of the period, calculate:

i$.$ the number of payment periods required under the contract.

ii$.$ the final payment using the fractional payment method.

iii. the final payment using retrospective method.