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project a good investment? Second, if we have more than one good project, but we can take only one of them, which one should we take? The main point of this chapter is that only the NPV criterion can always provide the correct answer to both questions. For this reason, NPV is one of the two or three most important concepts in finance, and we will refer to it many times in the chapters ahead. When we do, keep two things in mind: (1) NPV is always just the difference between the market value of an asset or project and its cost, and (2) the financial manager acts in the shareholders’ best interests by identifying and taking positive NPV projects. Finally, we noted that
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With some trial and error, you’ll see that the NPV is zero at a discount rate of 5.42 percent, so this is the crossover rate. The IRR for B is higher. However, as we’ve seen, A has the larger NPV for any discount rate less than 5.42 percent, so the NPV and IRR rankings will conflict in that range. Remember, if there’s a conflict, we will go with the higher NPV. Our decision rule is thus very simple: take A if the required return is less than 5.42 per-
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9.3
cent, take B if the required return is between 5.42 percent and 38.54 percent (the IRR on B), and take neither if the required return is more than 38.54 percent. Here we need to calculate the ratio of average net income to average book value to get the AAR. Average net income is: Average net income Average book value is: Average book value $12,000/2 $6,000 ($2,000 4,000 6,000)/3 $4,000
So the average accounting return is: AAR $4,000/6,000 66.67%
This is an impressive return. Remember, however, that it isn’t really a rate of return like an interest rate or an IRR, so the size doesn’t tell us a lot. In particular, our money is probably not going to grow at a rate of 66.67 percent per year, sorry to say.
Concepts Review and Critical Thinking Questions
1. Payback Period and Net Present Value If a project with conventional cash flows has a payback period less than the project’s life, can you
10. What is the net present value (NPV) of a long-term investment project? Describe how managers use NPVs when evaluating capital budget proposals.
The payback period looks at a project only until the costs have been recovered. This analysis tool is often ignored because it does not take into consideration the time value of money. The time value of money limitation of the payback period can be modified by using the discounted cash flows of a project for the analysis of when the outflows will be recovered.
NPV analysis uses future cash flows to estimate the value that a project could add to a firm’s shareholders. A company director or shareholders can be clearly provided the present value of a long-term project by this approach. By estimating a project’s NPV, we can see whether the project is profitable. Despite NPV analysis is only based on financial aspects and it ignore non-financial information such as brand loyalty, brand goodwill and other intangible assets, NPV analysis is still the most popular way evaluate a project by companies.
Finally, in order to complete a more accurate comparison between the two projects, we utilized the EANPV as the deciding factor. Under current accepted financial practice, NPV is generally considered the most accurate method of predicting the performance of a potential project. The duration of the projects is different, one lasts four years and one lasts six years. To account for the variation in time frames for the projects and to further refine our selection we calculated the EANPV to compare performance on a yearly basis.
2. Net Present Value – Secondly, Peter needs to investigate the Net Present Value (NPV) of each project scenario, i.e. job type, gross margin, and # new diamonds drills purchased. The NPV will measure the variance of the present value of cash outflow (drilling equipment investment) versus the future value of cash inflows (future profits), at the benchmark hurdle rate of 20%. A positive NPV associated with the investment means that the investment should be undertaken as it exceeds the minimum rate of return. A higher NPV determines which project scenario will have the highest return on cash flow, hence determining the most profitable investment in terms of present money value.
State and explain the decision rule behind the IRR method. Assume a hurdle rate of 10%.
b) The decision to invest in projects increases the shareholders value of the company. This is consistent with the growth and from the NPV criteria, positive NPV of projects increases the shareholder's value.
The NPV compares the inflow of cash against the flow of cash to make the investment. With the cash flows occurring over a period of time, NPV also takes into account the cost of capital. The cost of capital or discount rate allows the company to weigh the present value of capital today with the investment capital’s present value. Futronics Inc. investment would have an NPV of $138,642.39. The NPV of this investment would add value to Futronics Inc.’ worth.
The Constitution was an attempt to address problems of decentralization that were experienced under the Articles of Confederation.
Thus, by year three the company will be making a profit off the investment as year three is 86.73 million profit by 55.35 cost giving the company a 31.38 million dollar surplus. Generally, a period of payback of three year or less is acceptable (Reference Entry) causing this project to be viable based off the payback analysis. Although, these calculations are flawed. The reason for this is because the time value of money is not taken into effect when calculating payback periods which is where IRR can further assist in a more realistic financial picture (Reference Entry).
What is an appropriate required rate of return against which to evaluate the prospective IRRs from the Boeing
Account for time. Time is money. We prefer to receive cash sooner rather than later. Use net present value as a technique to summarize the quantitative attractiveness of the project. Quite simply, NPV can be interpreted as the amount by which the market
Net Present Value (NPV) calculates the sum of discounted future cash flows and subtracting that amount with the initial investment of the project. If the NPV of a project results in a positive number, the project should be undertaken. It is the most widely used method of capital budgeting. While discount rate used in NPV is typically the organization’s WACC, higher risk projects would not be factored in into the calculation. In this case, higher discount rate should be used. An example of this is when the project to be undertaken happens to be an international project where the country risk is high. Therefore, NPV is usually used to determine if a project will add value to the company. Another disadvantage of NPV method is that it is fairly complex compared to the other methods discussed earlier.
A target payback period will be set by the company and the proposals that recover their initial cost within this time will be acceptable. If a comparison is made between two or more options then the choice will be project with the fastest payback.