Ok, so this is really simple, but I figured some of you might be interested...a real life use of finance...
done in Excel using PMT and PV functions.
looking at buying a car…four choices to pay for it
1. $500 rebate
2. 1.9% for 3 years
3. 2.9% for 4 years
4. 3.9% for 5 years
Analysis assumes a 6.22% interest rate is the opportunity cost of capital
this comes from the median rate for a new car, 20% down. (Not quite right, but close)
http://biz.yahoo.com/b/r/a.html
PV
choice 1 500
for all other choices, I assume a 20% downpayment of selling price (about 18,000)
that is borrow 14,400
downpymt of 3,600
choice 2: monthly rate = .019/12, 36 payments
($411.82) Payment
$13,492.84 PV of payments
PV of savings =14440-13,492.84 = 907.16
choice 3
($318.10) Payment
$13,486.73 PV of 48 payments
$913.27 PV of savings
choice 4
($264.55) payment
$13,611.78 PV of 60 payments
$788.22 PV of savings
So assuming the above is correct, it is choice 3...but given at least some positive Transaction Costs and desire to pay it earlier, I would probably recommend choice 2.
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