Answer: Plan A has a lower present value and should be chosen.
Explanation:
Choose the one that has the lower present value because that means that it would be cheaper.
Present value of plan A = $4,900
Present value of plan B
= $500 + Present value of $210.30 per month for 30 months
$210.30 is constant so it is an annuity.
Periodic interest rate = 24%/12 = 2%
Present value of annuity = Annuity * ( 1 - (1 + rate)^-number of periods) / rate
= 210.30 * ( 1 - (1 + 2%)⁻³⁰) / 2%
= $4,709.97
Present value of plan B = 500 + 4,709.97
= $5,209.97
Choose Plan A because it has a lower present value.
