Question 4.15: What is the internal rate of return of the Chaotic Industrie...

What is the internal rate of return of the Chaotic Industries project from Activity 4.2? (Hint: Remember that you already know the NPV of this project at 15 per cent (from Activity 4.12).)

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Since we know that, at a 15 per cent discount rate, the NPV is a relatively large negative figure, our next trial is using a lower discount rate, say 10 per cent:

Time Cash flows
£000
Discount factor
10%
Present value
£000
Immediately (150) 1.000 (150.00)
1 year’s time 30 0.909 27.27
2 year’s time 30 0.826 24.78
3 year’s time 30 0.751 22.53
4 year’s time 30 0.683 20.49
5 year’s time 30 0.621 18.63
6 year’s time 30 0.564 16.92
6 year’s time 30 0.564 \underline{16.92}
NPV     \underline{(2.46)}

This figure is close to zero NPV. However, the NPV is still negative and so the precise IRR will be a little below 10 per cent.

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