Kangaroo Autos is offering free credit on a new $12,000 car. You pay $1,800 down
ID: 2748728 • Letter: K
Question
Kangaroo Autos is offering free credit on a new $12,000 car. You pay $1,800 down and then $340 a month for the next 30 months. Turtle Motors next door does not offer free credit but will give you $1,040 off the list price.
If the rate of interest is 10% a year (about 0.83% a month), calculate the present value of the payments to Kangaroo Autos.
Kangaroo Autos is offering free credit on a new $12,000 car. You pay $1,800 down and then $340 a month for the next 30 months. Turtle Motors next door does not offer free credit but will give you $1,040 off the list price.
Explanation / Answer
Present value of annuity = P×[1-(1÷(1+r)^n))]÷r
r is interest rate per period
P is payment per period
n is number of payments
= $340×[1-(1÷(1+0.83%)^30))]÷0.83%+$1,800
= $10,796
Turtle motors price = $10,960
Kangaroo autos is offering better deal.
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