Question

Project A Project & CHINA initial investment £15m 25% less than uk Revenue £6m per annual 10% less than uk operating cost £1.
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Answer #1

1) Pay Back Period is the length of time required for an investment to recover its initial outlay in terms of profits or savings.

2) The average rate of return is the average annual amount of cash flow generated over the life of an investment. This rate is calculated by aggregating all expected cash flows and dividing by the number of years that the investment is expected to last.

Part A
Statement showing calculation of Pay Back Period
All amount is GBP '000s
Project A Project B
Initial Investment 15000 11250
Annual Revenue 6000 5400
Less: Annual Operating Cost 1200 600
Annual Net Operating Income 4800 4800
Add: Annual Depreciation 2200 1450
Annual Cash Operating Income 7000 6250
Pay Back Period (in years) 2.14 1.80
Average Rate of Return 47% 56%
Conclusion - Project B has a shorter Pay Back Period and higher ARR,
therefore a better choice over Project A, all other factors remaning unchanged
Working Notes:
A.Initial Investment 15000 11250
B.Residual Value 4000 4000
C.Net Depreciable Value (A-B) 11000 7250
D.Project Length 5 5
Depreciation per annum
in SLM (C / D) 2200 1450
Payback period = Investment required for the project/Net annual cash inflow
The net operating income is not equal to net cash operating income
because it has been obtained after taking into account the depreciation – a non-cash expense.
Part B
Assuming a 35% increase in project cost
A.Initial Investment 20250 15187.5
B.Residual Value 4000 4000
C.Net Depreciable Value (A-B) 16250 11187.5
D.Project Length 5 5
Depreciation per annum
in SLM (C / D) 3250 2237.5
Initial Investment 20250 15187.5
Annual Revenue 6000 5400
Less: Annual Operating Cost 1200 600
Annual Net Operating Income 4800 4800
Add: Annual Depreciation 3250 2237.5
Annual Cash Operating Income 8050 7037.5
Pay Back Period (in years) 2.52 2.16
Average Rate of Return 40% 46%
Conclusion - Project B has a shorter Pay Back Period and higher ARR,
therefore a better choice over Project A, all other factors remaning unchanged
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