Net Present Value and Internal Rate of Return by Harold Bierman‚ Jr Executive Summary • • • Net present value (NPV) and internal rate of return (IRR) are two very practical discounted cash flow (DCF) calculations used for making capital budgeting decisions. NPV and IRR lead to the same decisions with investments that are independent. With mutually exclusive investments‚ the NPV method is easier to use and more reliable. Introduction To this point neither of the two discounted cash flow procedures
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For Project A‚ anything under 21.88% is acceptable and for Project B‚ anything under 20.62% is acceptable. The crossover rate‚ where the NPVs are the same is 8.16%. Project A Project B Required Return 8.25% Required Return 8.25% Cash Flows Period Cash Flows Cash Flows Period Cash Flows Initial Outlay -8‚500 0 -8‚500 Initial Outlay -9‚500 0 -9‚500 1 3‚600 1 3‚900 2 2‚400 2 2‚900 3 2‚850 3 2‚900 4 5‚200 4 5‚550 Discounted
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investment decisions: acceptance or rejection‚ ranking of projects‚ and choosing between projects. To assess whether it is viable to invest or not the NPV technique can be used to compare the present value of returns and costs. If the NPV is negative it implies that costs exceed returns and hence it would not be advisable to invest in such projects. There are also other investment appraisal techniques that are employed apart from the NPV; these are the pay back method‚ accounting rate of return and
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Value Net Present Value (NPV) is used in capital budgeting to analyze the profitability of an investment or project. NPV is found by subtracting the present value of the after-tax outflows from the present value of the after-tax inflows. Investments with a positive NPV increase shareholder value and those with a negative NPV reduce shareholder value. In order to compute the NPV for Worldwide Paper Company‚ we have to calculate the cash flow in capital budgeting of the project as below. | | 2007
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When cash inflows are even: NPV = R × 1 − (1 + i)-n − Initial Investment i In the above formula‚ R is the net cash inflow expected to be received each period; i is the required rate of return per period; n are the number of periods during which the project is expected to operate and generate cash inflows. When cash inflows are uneven: NPV = R1 + R2 + R3 + ... − Initial Investment (1 + i)1 (1 + i)2 (1 + i)3 Where‚ i is the target rate of return per period;
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this online NPV Calculation Tool http://finance.thinkanddone.com/online-n… we get the following NPV at 15% Net Cash Flows CF0 = -3000000 CF1 = 1100000 CF2 = 1450000 CF3 = 1300000 CF4 = 950000 Discounted Net Cash Flows DCF1 = 1100000/(1+0.15)^1 = 1100000/1.15 = 956521.74 DCF2 = 1450000/(1+0.15)^2 = 1450000/1.3225 = 1096408.32 DCF3 = 1300000/(1+0.15)^3 = 1300000/1.52087 = 854771.1 DCF4 = 950000/(1+0.15)^4 = 950000/1.74901 = 543165.58 NPV Calculation NPV = 956521.74 +
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NPV Versus IRR W.L. Silber I. Our favorite project A has the following cash flows: -1000 0 0 1 0 2 +300 3 +600 4 +900 5 We know that if the cost of capital is 18 percent we reject the project because the net present value is negative: - 1000 + 300 600 900 + + = NPV 3 4 (1.18) (1.18) (1.18)5 - 1000 + 182.59 + 309.47 + 393.40 = -114.54 We also know that at a cost of capital of 8% we accept the project because the net present value is positive: - 1000 + 300 600 900
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Running head: A COMPARISON OF EVA AND NPV A Comparison of EVA and NPV (discuss the differences and similarity of EVA and NPV; why would companies choose to adopt EVA‚ implementation issues; chronicle the implementation experience of EVA on a real life company). 1 A COMPARISON OF EVA AND NPV 2 A Comparison of EVA and NPV (discuss the differences and similarity of EVA and NPV; why would companies choose to adopt EVA‚ implementation issues; chronicle the implementation
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N04 HL P1 Q5 Payback Calculation Year Machine A $ Machine B $ 1 45‚000 25‚000 Part of 2 20‚000 (0.57 of 35‚000) 35‚000 Part of 3 - 25‚000 (0.45 of 55‚000) Investment 65‚000 85‚000 1 + 0.57 = 1.57 (Machine A has payback period of 1.57 years) 2 + 0.45 = 2.45 (Machine B has payback period of 2.45 years) Accounting Rate of Return Calculation Machine A $ Machine B $ Net Return 155‚000 205‚000 Total Return-Investment 155‚000 – 65‚000 = 90‚000 205‚000 – 85‚000 = 120‚000
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products‚ and research development projects are worth pursuing. It is budget for major capital‚ or investment‚ expenditures. Many formal methods are used in capital budgeting‚ including the techniques such as 1. Accounting rate of return 2. Net present value 3. Profitability index 4. Internal rate of return 5. Modified internal rate of return 6. Equivalent annuity These methods use the incremental cash flows from each potential investment‚ or project. Techniques based on accounting
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