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Bpp revision kit pg no 39 question no 118

RMRuby Mirza7y ago
I have a doubt regarding the future value of 105000 in 2yrs time(note.... Receivable in 2yrs) 10500x1.1(sqr 2) = $127050 But why we have taken 1.1....? And pre tax 127050/70% = 18150 But in the question its 100%tax allowable dep So can we take 10500x100(sqr2) Pls explain this
John MoffatJohn MoffatTutor7y ago#1
The fact that there is 100% tax allowance means that they pay $150,000 but immediately get the tax saving on the allowance of 30% x 100% x 150,000 = $45,000 So the net outflow at time 0 is 150,000 - 45,000 = 105,000. The minimum revenue in 2 years time is whatever makes the NPV equal to zero. If the minimum revenue is X, then the after tax inflow will be 0.7X and the PV of the revenue is 0.7X/(1.1^2) and for an NPV of zero, 0.7X/(1.1^2) equals 105,000 Therefore X = 105,000 x (1.1^2) / 0.7 = 181,500. Have you watched my free lectures on investment appraisal with tax? The lectures are a complete free course for Paper FM and cover everything needed to be able to pass the exam well.
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