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ACCA Applied Skills · Financial Management · Specific investment decisions (lease or buy, asset replacement, capital rationing)

Belmont Ltd is considering a machine with a present value of costs of $50,000 over a 4-year life. The cost of capital is 10% and the 4-year annuity factor at 10% is 3.170. What is the equivalent annual cost (EAC) of the machine, to the nearest dollar?

The EAC is $15,773. It is found by dividing the present value of costs, $50,000, by the four-year annuity factor at 10%, 3.170. This converts the total cost into a constant annual cost that allows for the time value of money.

  1. A$15,773Correct
  2. B$12,500
  3. C$5,000
  4. D$158,500

Explanation

EAC = PV of costs divided by the annuity factor for the machine's life: 50,000 / 3.170 = $15,773. Dividing by 4 (12,500) ignores the time value of money. Multiplying by the annuity factor (158,500) uses the factor the wrong way round.

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