Mary O. Andrettey wants to purchase an expensive sports car. She needs to borrow money to purchase the car, and has loan proposa
1 answer:
Answer: Proposal C
Explanation:
The way to solve this is to calculate the Present Values of all these payments. The smallest present value is the best.
Proposal A.
Periodic payment of $2,000 makes this an annuity.
Present value of Annuity = Annuity * ( 1 - ( 1 + r ) ^ -n)/r
= 2,000 * (1 - (1 + 0.5%)⁻⁶⁰) / 0.5%
= $103,451.12
Proposal B
Present value = Down payment + present value of annuity
= 10,000 + [2,200 * ( 1 - ( 1 + 0.5%)⁻⁴⁸) / 0.5%]
= 10,000 + 93,676.70
= $103,676.70
Proposal C
Present value = Present value of annuity + Present value of future payment
= [500 * (1 - (1 + 0.5%)⁻³⁶) / 0.5%] + [116,000 / (1 + 0.5%)⁶⁰]
= 16,435.51 + 85,999.17
= $102,434.68
<em>Proposal C has the lowest present value and so is best. </em>
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