Answer:
Sam will pay $937.43 weekly or $71.64 quarterly.
The weekly plan has less total cash outflow each year because it involves lower interest charges as the payment is made more frequently.
Sam will have to pay $117.18 if the loan calls for quarterly payments.
Explanation:
The cash outflows are calculated using the PMT formula or function as follows.
Quarterly Payment:
PMT(rate = 0.08/4, nper = 8x4, pv = 22000, fv = 0, 0) = $937.43
Weekly Payment:
PMT(rate = 0.08/52, nper = 8x52, pv = 22000, fv = 0, 0) = $71.64
Annual cash outflow using quarterly payment = $937.43 x 4 = $3749.72
Annual cash outflow using weekly payment = $71.64 x 52 = $3725.28
The weekly plan has $3749.72 - $3725.38 = $24.44 less total cash outflow each year because it involves lower interest charges as the payment is made more frequently.
Sam will have to pay $3749.72 / 32 = $117.18 if the loan calls for quarterly payments.