Hard2 marksMultiple Choice
Investment AppraisalInvestment appraisalEquivalent Annual CostAsset Replacement

ACCA · Question 7 · Investment Appraisal

Section A

SkyLogistics is evaluating the replacement cycle for its new fleet of electric delivery drones.
Drone Model X costs $12,000.
If replaced after 1 year, the running costs are $2,000 and resale value is $8,000.
If replaced after 2 years, the running costs are $2,000 in year 1 and $3,500 in year 2, with a resale value of $5,000 at the end of year 2.
The company's cost of capital is 10%.

What is the Equivalent Annual Cost (EAC) of replacing the drones every 2 years? (Ignore tax and inflation).

Answer options:

A.

$5,850

B.

$6,107

C.

$7,246

D.

$8,150

How to approach this question

Step 1: Calculate the Net Present Value (NPV) of costs for the 2-year cycle. Step 2: Divide the NPV by the 2-year cumulative present value annuity factor at 10%.

Full Answer

C.$7,246✓ Correct
Year 0: -$12,000. Year 1: -$2,000 x 0.909 = -$1,818. Year 2: (-$3,500 + $5,000) = +$1,500 x 0.826 = +$1,239. NPV of costs = -$12,000 - $1,818 + $1,239 = -$12,579. EAC = NPV / Annuity Factor = $12,579 / 1.736 = $7,246.

Common mistakes

Forgetting to discount the resale value, or dividing by 2 instead of the annuity factor.

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