An company buys a color printer that will cost $18,000 to buy, and last 5 years. It is assumed that it will require servicing costing $500 each year. What is the equivalent annual annuity of this deal, given a cost of capital of 12%? A. -$3983 B. -$4002 C. -$4957 D. -$5493

The correct answer is option (D)

Explanation:

Solution

Given that:

The present value of equity factor for 5 years at 12% discount are = 3.60478

Then,

The present value of servicing costing = -$500 * 3.60478 = -$1802.39

Thus,

The present value of cost to buy =- $18000

The total Present value = -18000 + 1802.39 = -$19802.39

So,

The equivalent annual annuity = total Present value / present value of equity factor

= -$19802.39 / 3.60478

= -$5493.37

Therefore, the equivalent annual annuity of this deal is -$5493.37

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