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Mock exam Section B Question 1

AAAngelica Amposta6y ago
Initial cost - $300,000 Expected Life - 5 yrs estimated scrap value - $20,000 Additional revenue from the project - $120,000 p.a. Incremental costs of the project - $30,000 p.a. Cost of capital - 10% Calculate the NPV The correct answer is 53,610 What I did was i subtracted the costs from the revenue, then multiplying it to the discount factors to get the value for each year (I included the scrap value to the 5th year) i got the ff: Yr. 1 = 81 810 Yr. 2 = 74 340 Yr. 3 = 67 590 Yr. 4 = 61 470 Yr. 5 = 68 310 I got a total of 353 520, which if you subtract from the initial cost, is only 53 520. Is there something wrong with how I did it? If so, what is the correct solution??
John MoffatJohn MoffatTutor6y ago#1
The difference is due to rounding - the discount factors in the tables are rounded to 3 decimal places. The answer of 53,610 is arrived at if you take the net 90,000 per year and use the 5 year annuity factor to calculate the PV (and then discount the scrap proceeds separately). Although this is faster than discounting each year separately, you would still get full marks doing what you have done.
AAAngelica Amposta6y ago#2
okay okay For the scrap value, I multiply it with the 5th yr PV factor since it was valued on the 5th year right?
John MoffatJohn MoffatTutor6y ago#3
Correct :-)
AAAngelica Amposta6y ago#4
okay. thank you :))
John MoffatJohn MoffatTutor6y ago#5
You are welcome :-)
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