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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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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Net Present 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
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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 internal rate of return method. Net present value (NPV) is generally considered as the most correct method
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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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ASSIGNMENT TOPIC: “THE ADVANTAGES AND DISADVANTAGES OF USINFG NPV (NET PRESENT VALUE) AND IRR (INTERNAL RATE OF RETURN)” NPV (NET PRESENT VALUE) The difference between the present value of cash inflows and the present value of cash outflows. NPV is used in capital budgeting to analyze the profitability of an investment or project. NPV analysis is sensitive to the reliability of future cash inflows that an investment or project will yield. NPV compares the value of a dollar today to the value of that
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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 Payback Period 3.23 Discounted Payback Period 3.28 NPV $2‚907.51 NPV $2‚905.64 Profitability Index
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Case analysis "Cost of Capital at Ameritrade" Cost of capital refers to the maximum rate of return a company must earn from its investments‚ so that the market values of the company’s equity shares do not go down. The people at Ameritrade are not in agreement on the best estimate of the cost of capital. Research analyst put the cost of capital at 12%‚ while other members of the management estimate it to be at 9% and the CFO estimates it to be at 15%. The CEO of the company is optimistic that
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Case Solution Cost of Capital at Ameritrade | | • Executive summary: Formed in 1971 and listed in March 1997‚ Ameritrade has been one of the most successful players in the deep- discount brokerage sector. Ameritrade’s two major sources of revenue‚ Transaction income (brokerage commissions‚ clearing fees‚ and payment for order flow) and Net interest revenues that were generated from net balance
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Ameritrade is formed in 1971‚ and is a pioneer in the deep-discount brokerage sector. In march 1997‚ Ameritrade raised $22.5 million in an initial public offering. Management at Ameritrade is considering substantial investments in technology and advertising‚ but is unsure of the appropriate cost of capital. Estimating the cost of capital 1. Since we do not have the beta for Ameritrade‚ we need to find comparable firms for which we could compute the betas. There are several candidates in the
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