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What is the relationship between Net Present Value and the Internal Rate of Return? Provide an...

What is the relationship between Net Present Value and the Internal Rate of Return? Provide an example of how the two concepts are related.

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Answer #1

The net present value is the present value of all the cash flows.

The Internal rate of return (IRR) is the rate at which the NPV = 0

Example: Let's say a project has an initial investment of $1,000, and it produces a cash inflow of $600 in year 1 and year 2. If the discount rate is 10%, then

NPV = 600/1.1 + 600/1.1^2 - 1,000

NPV = 41.3223140496

IRR is the rate at which the NPV = 0

0 = 600/(1 + IRR) + 600/(1 + IRR) - 1000

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