Replace an existing asset: You have a 2000 Nissan that is expected to run for another three years, but you are considering buyin
g a new Hyundai before the Nissan wears out. You will donate the Nissan to Goodwill when you buy the new car. The annual maintenance cost is $1,500 per year for the Nissan and $200 for the Hyundai. The price of your favorite Hyundai model is $18,000, and it is expected to run for 15 years. Your opportunity cost of capital is 3 percent. Ignore taxes. When should you buy the new Hyundai?
1 answer:
You might be interested in
Answer:
$67,800
Explanation:
We can use annuity formula to find the present value of the royalties received for the upcoming ten years.
The annuity formula used here is attached with the answer.
The first step would be finding annuity factor at 12%.
So
Annuity Factor = (1-(1+r)^-n) / r
By putting values, we have:
Annuity Factor = (1 - (0.322)) / 0.12 = 5.65
Present Value = Annual Cash flow * Annuity Factor
PV = $12,000 * 5.65 = $67,800
