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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

Using IRR to make capital investment decisions

Refer to the data regarding Hawkins Products in Exercise E26-25. Compute the IRR of each project, and use this information to identify the better investment.

Use the Present Value of \(1 table (Appendix A, Table A-1) to determine the present value of \)1 received one year from now. Assume a 8% interest rate. Use the same table to find the present value of \(1 received two years from now. Continue this process for a total of five years. Round to three decimal places.

Requirements

1. What is the total present value of the cash flows received over the five-year period?

2. Could you characterize this stream of cash flows as an annuity? Why or why not?

3. Use the Present Value of Ordinary Annuity of \)1 table (Appendix A, Table A-2) to determine the present value of the same stream of cash flows. Compare your results to your answer to Requirement 1.

4. Explain your findings.

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.

John Johnson is the majority stockholder in Johnsonโ€™s Landscape Company, owning 52% of the companyโ€™s stock. John asked his accountant to prepare a capital investment analysis to purchase new mowers. John used the analysis to persuade a loan officer at the local bank to loan the company $100,000. Once the loan was secured, John used the cash to remodel his home, updating the kitchen and bathrooms, installing new flooring, and adding a pool.

Requirements

1. Are Johnโ€™s actions fraudulent? Why or why not? Does Johnโ€™s percentage of ownership affect your answer?

2. What steps could the bank take to prevent this type of activity?

Suppose Hunter Valley is deciding whether to purchase new accounting software. The payback for the $30,050 software package is two years, and the softwareโ€™s expected life is three years. Hunter Valleyโ€™s required rate of return for this type of project is 10.0%. Assuming equal yearly cash flows, what are the expected annual net cash savings from the new software?

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