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Expansion Decisions Applied Nanotech is thinking about introducing a new surface cleaning machine. The marketing department has come up with the estimate that Applied Nanotech can sell 15 units per year at \(\$ 410,000\) net cash flow per unit for the next five years. The engineering department has come up with the estimate that developing the machine will take a \(\$ 17\) million initial investment. The finance department has estimated that a 25 percent discount rate should be 1\. What is the base-case NPV? 2\. If unsuccessful, after the first year the project can be dismantled and will have an aftertax salvage value of \(\$ 11\) million. Also, after the first year, expected cash flows will be revised up to 20 units per year or to 0 units, with equal probability. What is the revised NPV?

Short Answer

Expert verified
The base-case NPV is calculated as: \(NPV_{base} = 6,150,000 * \sum_{t=1}^{5} \frac{1}{(1 + 0.25)^t} - 17,000,000\) The revised NPV is calculated as: \(NPV_{revised} = 0.5 * \left( 11,000,000 * \frac{1}{(1 + 0.25)} + 4,100,000 * \sum_{t=2}^{5} \frac{1}{(1 + 0.25)^t} - 17,000,000\right)\) Calculate the base-case and revised NPVs to find the answers to questions 1 and 2.

Step by step solution

01

Calculate the total cash flow for the base case

For each year, we'll need to calculate the total cash flow generated by selling the new surface cleaning machine. Assuming the sales remain at 15 units per year and each unit has a net cash flow of $410,000, the total annual cash flow is: Total Annual Cash Flow = 15 units * \(410,000 = \)6,150,000
02

Calculate NPV for the base case

To find the base-case NPV, we need to discount the annual cash flow using the discount rate (25%) for each of the next 5 years, and then subtract the initial investment of $17,000,000. The formula for NPV is: NPV = \(\sum_{t=1}^{n} \frac{CF_t}{(1 + r)^t} - I\) where \(CF_t\) is the annual cash flow for year \(t\), \(r\) is the discount rate, \(n\) is the number of years, and \(I\) is the initial investment. For the base case, we'll have \(CF_t =\$6,150,000\) (constant cash flow for each year) r = 0.25 n = 5 I = $17,000,000 Plugging the values and calculating, we get: Base-case NPV = \(\(6,150,000 * \sum_{t=1}^{5} \frac{1}{(1 + 0.25)^t} - \)17,000,000\)
03

Calculate the two possible cash flows for the revised case

For the revised case, in the unsuccessful scenario after the first year, the project will have an after-tax salvage value of $11,000,000. In the successful scenario, the expected cash flow will increase to 20 units per year. So, we have two possible cash flows for years 2 to 5: CF1: \(410,000 * 0 units = \)0 (Unsuccessful scenario) CF2: \(410,000 * 20 units = \)8,200,000 (Successful scenario)
04

Calculate the expected cash flow for the revised case

Since there's an equal probability of the two scenarios, we can average the two possible cash flows for the revised case: Expected Cash Flow = (0 + \(8,200,000) / 2 = \)4,100,000
05

Calculate NPV for the revised case

We will consider the revised expected cash flow from year 2 to year 5 and the after-tax salvage value (Year 1). We also need to incorporate the probability of the successful/unsuccessful first year. Revised NPV = (0.5) * \(\(11,000,000 * \frac{1}{(1 + 0.25)^1} + \)4,100,000 * \sum_{t=2}^{5} \frac{1}{(1 + 0.25)^t} - $17,000,000\) Finally, calculate the Base-case NPV and Revised NPV to answer questions 1 and 2.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Expansion Decisions
Expansion decisions involve determining whether to proceed with a new project or investment by evaluating potential benefits against costs. Such decisions require analyzing potential markets, financial impacts, and the resources needed. For Applied Nanotech, the expansion decision revolves around introducing a new surface cleaning machine.
The primary factors in this decision include the estimated sales of 15 units annually and the net cash flow of $410,000 per unit. Another vital consideration is the initial investment of $17 million to develop the machine.
The expansion decision becomes a question of whether the projected revenue and benefits, when expressed as net present value (NPV), outweigh the associated costs and risks.
The company must also account for variable outcomes; for instance, the project's success hinges on maintaining sales and effective cost management. This entails planning for both optimistic and pessimist scenarios, as observed in later analysis of revised scenarios with salvage value considerations.
Cash Flow Analysis
Cash flow analysis is crucial in evaluating the financial health of a project over time. It involves assessing all cash receipts and payments associated with the investment.
For the surface cleaning machine, we must examine the expected revenues of selling 15 units yearly, each yielding $410,000. Thus, the total annual cash flows of $6,150,000 form the base for our cash flow analysis.
Effective cash flow analysis requires estimating these flows over the project's five-year span to determine the project's profitability, even as differences arise, such as zero units sold in unsuccessful scenarios versus 20 units sold in successful ones.
  • Base-case cash flow remains steady at $6,150,000 annually.
  • Revised cash flow adjusts based on probabilities, such as averaging the outcomes of selling zero versus twenty units.
By understanding cash flows, financial planners can better allocate resources, anticipate funding needs, and manage risks effectively.
Discount Rate
The discount rate is a critical concept in calculating the net present value (NPV) of future cash flows. It reflects the time value of money, risk, and opportunity cost of capital.
Applied Nanotech uses a 25% discount rate, indicating they seek high returns to compensate for the project's risks. This high rate acknowledges the inherent unpredictability and uncertainties of launching a new product.
When applied to the cash flow projections, the discount rate helps to calculate the present value of future cash inflows across the five-year period of the project's timeline.
Choosing the appropriate discount rate significantly impacts investment appraisal, potentially swinging the NPV calculations from positive to negative or vice versa. Thus, deciding on such a rate involves strategic thinking around risk tolerance and market comparison.
Salvage Value
Salvage value represents the estimated residual value of a project if dismantled or sold after its useful lifespan. Its consideration becomes useful in scenarios where projects might need to be aborted prematurely.
In the expansion decision of introducing a new machine, a potential unsuccessful outcome would yield a salvage value of $11 million after the first year.
Calculating salvage value aids in determining worst-case financial scenarios and recovering some of the original investment costs. It is crucial in revising NPV calculations, allowing for strategic project valuation even under downsized expectations.
Including salvage value in financial evaluations provides a safety net that can potentially justify or reconsider investment decisions depending on the probabilistic outcome of business operations.

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Most popular questions from this chapter

Decision Trees Young screenwriter Carl Draper has just finished his first script. It has action, drama, and humor, and he thinks it will be a blockbuster. He takes the script to every motion picture studio in town and tries to sell it but to no avail. Finally, ACME studios offers to buy the script for either (a) \(\$ 12,000\) or (b) 1 percent of the movie's profits. There are two decisions the studio will have to make. First is to decide if the script is good or bad, and second if the movie is good or bad. First, there is a 90 percent chance that the script is bad. If it is bad, the studio does nothing more and throws the script out. If the script is good, they will shoot the movie. After the movie is shot, the studio will review it, and there is a 70 percent chance that the movie is bad. If the movie is bad, the movie will not be promoted and will not turn a profit. If the movie is good, the studio will promote heavily; the average profit for this type of movie is \(\$ 20\) million. Carl rejects the \(\$ 12,000\) and says he wants the 1 percent of profits. Was this a good decision by Carl?

Break-Even Analysis Your buddy comes to you with a sure-fire way to make some quick money and help pay off your student loans. His idea is to sell T-shirts with the words "I get" on them. "You get it?" He says, "You see all those bumper stickers and T-shirts that say 'got milk' or 'got surf.' So this says, 'I get.' It's funny! All we have to do is buy a used silk screen press for \(\$ 3,200\) and we are in business!" Assume there are no fixed costs, and you depreciate the \(\$ 3,200\) in the first period. Taxes are 30 percent. 1\. What is the accounting break-even point if each shirt costs \(\$ 7\) to make and you can sell them for \(\$ 10\) apiece? Now assume one year has passed and you have sold 5,000 shirts! You find out that the Dairy Farmers of America have copyrighted the "got milk" slogan and are requiring you to pay \(\$ 12,000\) to continue operations. You expect this craze will last for another three years and that your discount rate is 12 percent. 2\. What is the financial break-even point for your enterprise now?

Decision Trees B\&B has a new baby powder ready to market. If the firm goes directly to the market with the product, there is only a 55 percent chance of success. However, the firm can conduct customer segment research, which will take a year and cost \(\$ 1.8\) million. By going through research, B\&B will be able to better target potential customers and will increase the probability of success to 70 percent. If successful, the baby powder will bring a present value profit (at time of initial selling) of \(\$ 28\) million. If unsuccessful, the present value payoff is only \(\$ 4\) million. Should the firm conduct customer segment research or go directly to market? The appropriate discount rate is 15 percent.

Abandonment Decisions Allied Products, Inc., is considering a new product launch. The firm expects to have an annual operating cash flow of \(\$ 22\) million for the next 10 years. Allied Products uses a discount rate of 19 percent for new product launches. The initial investment is \(\$ 84\) million. Assume that the project has no salvage value at the end of its economic life. 1\. What is the NPV of the new product? 2\. After the first year, the project can be dismantled and sold for \(\$ \mathbf{3 0}\) million. If the estimates of remaining cash flows are revised based on the first year's experience, at what level of expected cash flows does it make sense to abandon the project?

Abandonment Decisions M.V.P. Games, Inc., has hired you to perform a feasibility study of a new video game that requires a \(\$ 5\) million initial investment. M.V.P. expects a total annual operating cash flow of \(\$ 880,000\) for the next 10 years. The relevant discount rate is 10 percent. Cash flows occur at year-end. 1\. What is the NPV of the new video game? 2\. After one year, the estimate of remaining annual cash flows will be revised either upward to \(\$ 1.75\) million or downward to \(\$ 290,000\). Each revision has an equal probability of occurring. At that time, the video game project can be sold for \(\$ 1,300,000\). What is the revised NPV given that the firm can abandon the project after one year?

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