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How is IRR calculated with equal net cash inflows?

Short Answer

Expert verified

By subtracting the anticipated future cash flows from the initial beginning value, dividing the result by the actual value, and multiplying the result by 100, one can determine the internal rate of return.

Step by step solution

01

example

Imagine that an investor requires $10,00,000 to fund a project that will provide $305,450 in cash flow annually for five years. The IRR is the rate at which those future cash flows can be valued at $10,00,000.

02

calculation

Initial investment = PV of net cash inflows

Initial investment = Amount of each cash inflow * Annuity PV factor (i = ?, n =5)

Annuity PV factor = Initial investment / Amount of each cash inflow

= 10,00,000 / 305450

= 3.27

Comparing present value chart here i = 16% that is IRR.

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Most popular questions from this chapter

Hudson Manufacturing is considering three capital investment proposals. At this time, Hudson only has funds available to pursue one of the three investments.

Equipment A

Equipment B

Equipment C

Present value of net cash inflows

\(1,647,351

\)1,969,888

\(2,064,830

Initial investment

(1,484,100)

(1,641,573)

(1,764,812)

NPV

\)163,251

\(328,315

\)300,018

Which investment should Hudson pursue at this time? Why?

Refer to the Hunter Valley Snow Park Lodge expansion project in Short Exercise S26- 4. What is the project’s NPV (round to nearest dollar)? Is the investment attractive? Why or why not?

What is net present value?

Henry Hardware is adding a new product line that will require an investment of \(1,512,000. Managers estimate that this investment will have a 10-year life and generate net cash inflows of \)310,000 the first year, \(270,000 the second year, and \)240,000 each year thereafter for eight years. Compute the payback period. Round to one decimal place.

Using payback, ARR, and NPV with unequal cash flows

Hughes Manufacturing, Inc. has a manufacturing machine that needs attention. The company is considering two options. Option 1 is to refurbish the current machine at a cost of \(2,600,000. If refurbished, Hughes expects the machine to last another eight years and then have no residual value. Option 2 is to replace the machine at a cost of \)3,800,000. A new machine would last 10 years and have no residual value. Hughes expects the following net cash inflows from the two options:

Year

Refurbish current machine

Purchase new machine

1

\(1,760,000

\)2,970,000

2

440,000

490,000

3

360,000

410,000

4

280,000

330,000

5

200,000

250,000

6

200,000

250,000

7

200,000

250,000

8

200,000

250,000

9

250,000

10

250,000

Total

\(3,640,000

\)5,700,000

Hughes uses straight-line depreciation and requires an annual return of 10%.

Requirements

1. Compute the payback, the ARR, the NPV, and the profitability index of these two options.

2. Which option should Hughes choose? Why?

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