问题:A machine has an investment cost of $60,000 at time 0. The present values (at time 0) of the expected net cash inflows from the machine over its useful life are:
Discount rate Present value of cash inflows
10% $64,600
15% $58,200
20% $52,100
What is the internal rate of return (IRR) of the machine investment?
A. Over 20%
B. Between 10% and 15%
C. Below 10%
D. Between 15% and 20%
答案:The correct answer is: Between 10% and 15%
$
Investment (60,000)
PV of cash inflow 64,600
NPV @ 10% 4,600
$
Investment (60,000)
PV of cash inflow 58,200
NPV @ 15% (1,800)
The IRR of the machine investment is therefore between 10% and 15% because the NPV falls from $4,600 at 10% to -$1,800 at 15%. Therefore at some point between 10% and 15% the NPV = 0. When the NPV = 0, the internal rate of return is reached.
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