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The option to abandon a project is a real option, but a call option on a stock is not a real option.

A) True
B) False

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In the previous problem you were asked to find the expected NPV of a project TWI is considering. Use the same data to calculate the project's coefficient of variation. (Hint: Use the expected NPV as found in Problem 40.)


A) 5.87
B) 6.52
C) 7.25
D) 7.97
E) 8.77

F) B) and E)
G) B) and D)

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Winters Corp. is considering a new product that would require an investment of $20 million now, at t = 0. If the new product is well received, then the project would produce after-tax cash flows of $10 million at the end of each of the next 3 years (t = 1, 2, 3) , but if the market did not like the product, then the cash flows would be only $4 million per year. There is a 50% probability that the market will be good. The firm could delay the project for a year while it conducts a test to determine if demand is likely to be strong or weak, but it would have to incur costs to obtain this timing option. The project's cost and expected annual cash flows would be the same whether the project is delayed or not. The project's WACC is 11.0%. What is the value (in thousands) of the option to delay the project?


A) $1,311
B) $1,457
C) $1,619
D) $1,799
E) $1,999

F) C) and D)
G) A) and E)

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Traditionally, an NPV analysis assumes that projects will be accepted or rejected, which implies that they will be undertaken now or never. However, in practice, companies sometimes have a third choice--delay the decision until later, when more information will be available.

A) True
B) False

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Carlson Inc. is evaluating a project in India that would require a $6.2 million investment today (t = 0) . The after-tax cash flows would depend on whether India imposes a new property tax. There is a 50-50 chance that the tax will pass, in which case the project will produce after-tax cash flows of $1,350,000 at the end of each of the next 5 years. If the tax doesn't pass, the after-tax cash flows will be $2,000,000 for 5 years. The project has a WACC of 12.0%. The firm would have the option to abandon the project 1 year from now, and if it is abandoned, the firm would receive the expected $1.35 million cash flow at t = 1 and would also sell the property for $4.75 million at t = 1. If the project is abandoned, the company would receive no further cash inflows from it. What is the value (in thousands) of this abandonment option?


A) $104
B) $115
C) $128
D) $141
E) $155

F) C) and D)
G) A) and E)

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Which one of the following is an example of a "flexibility" option?


A) A company has an option to invest in a project today or to wait for a year before making the commitment.
B) A company has an option to close down an operation if it turns out to be unprofitable.
C) A company agrees to pay more to build a plant in order to be able to change the plant's inputs and/or outputs at a later date if conditions change.
D) A company invests in a project today to gain knowledge that may enable it to expand into different markets at a later date.
E) A company invests in a jet aircraft so that its CEO, who must travel frequently, can arrive for distant meetings feeling less tired than if he had to fly a commercial airline.

F) B) and C)
G) None of the above

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Which of the following statements is CORRECT?


A) In general, the more uncertainty there is about market conditions, the more attractive it may be to wait before making an investment.
B) In general, the greater the strategic advantages of being the first competitor to enter a given market, the more attractive it probably is to wait before making an investment.
C) In general, the higher the discount rate, the more attractive it probably is to wait before making an investment.
D) In general, investment timing options are more valuable than abandonment options.
E) In general, abandonment options are rarely seen in the real world.

F) A) and E)
G) C) and D)

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High Roller Properties is considering building a new casino at a cost of $10 million at t = 0. The after-tax cash flows the casino generates will depend on whether the state imposes a new income tax, and there is a 50-50 chance the tax will pass. If it passes, after-tax cash flows will be $1.875 million per year for the next 5 years. If it doesn't pass, the after-tax cash flows will be $3.75 million per year for the next 5 years. The project's WACC is 11.0%. If the tax is passed, the firm will have the option to abandon the project 1 year from now, in which case the property could be sold to net $6.5 million after tax at t = 1. What is the value (in thousands) of this abandonment option?


A) $202
B) $224
C) $249
D) $277
E) $308

F) A) and B)
G) A) and E)

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Traditional discounted cash flow (DCF) analysis--where a project's cash flows are estimated and then discounted to obtain an expected NPV--has been the cornerstone of capital budgeting since the 1950s. However, in recent years, it has been demonstrated that DCF techniques do not always lead to proper capital budgeting decisions due to the existence of real options.

A) True
B) False

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Real options are valuable, and that value is correctly captured by a traditional NPV analysis. Therefore, there is no reason to consider real options separately from the NPV analysis.

A) True
B) False

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Tutor.com is considering a plan to develop an online finance tutoring package that has the cost and revenue projections shown below. One of Tutor's larger competitors, Online Professor (OP) , is expected to do one of two things in Year 5: (1) develop its own competing program, which will put Tutor's program out of business, or (2) offer to buy Tutor's program if it decides that this would be less expensive than developing its own program. Tutor thinks there is a 35% probability that its program will be purchased for $6 million and a 65% probability that it won't be bought, and thus the program will simply be closed down with no salvage value. What is the estimated net present value of the project (in thousands) at a WACC = 10%, giving consideration to the potential future purchase?


A) $161.46
B) $179.40
C) $199.33
D) $219.26
E) $241.19

F) A) and E)
G) B) and D)

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It is not possible for abandonment options to decrease a project's risk as measured by the project's coefficient of variation.

A) True
B) False

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A firm's optimal capital budget consists of all independent projects with positive NPVs plus those mutually exclusive projects that have the highest positive NPVs.

A) True
B) False

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The following are all examples of real options that are discussed in the text: (1) growth options, (2) flexibility options, (3) timing options, and (4) abandonment options.

A) True
B) False

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The optimal capital budget is the size of the capital budget where the rate of return on the marginal project is equal to the marginal cost of capital.

A) True
B) False

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Which one of the following statements is most CORRECT?


A) Real options change the size, but not the risk, of projects' expected NPVs.
B) Real options change the risk, but not the size, of projects' expected NPVs.
C) Real options can reduce the cost of capital that should be used to discount a project's expected cash flows.
D) Very few projects actually have real options. They are theoretically interesting but of little practical importance.
E) Real options are more valuable when there is very little uncertainty about the true values of future sales and costs.

F) B) and D)
G) C) and D)

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Norris Production Company (NPC) NPC is considering whether to make the investment today or to wait a year to find out about the FDA's decision. If it waits a year, the project's up-front cost at t = 1 will remain at $2,500, the subsequent cash flows will remain at $750 per year if the competitor's product is rejected and $50 per year if the alternative product is approved. However, if NPC decides to wait, the subsequent cash flows will be received only for six years (t = 2 ... 7) This is a risky project, so a WACC of 16.0% is to be used. If NPC chooses to wait a year before proceeding, what is the value of the timing option today?


A) $124.22
B) $138.02
C) $153.36
D) $170.40
E) $187.44

F) A) and B)
G) A) and C)

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Wahal Corporation uses the NPV method when selecting projects, and it does a reasonably good job of estimating projects' sales and costs. However, it never considers any real options that might be associated with projects. Which of the following statements is most likely to describe its situation?


A) Its estimated capital budget is probably too small, because projects' NPVs are often larger when real options are taken into account.
B) Its estimated capital budget is probably too large due to its failure to consider abandonment and growth options.
C) Failing to consider abandonment and flexibility options probably makes the optimal capital budget too large, but failing to consider growth and timing options probably makes the optimal capital budget too small, so it is unclear what impact the failure to consider real options has on the overall capital budget.
D) Failing to consider abandonment and flexibility options probably makes the optimal capital budget too small, but failing to consider growth and timing options probably makes the optimal capital budget too large, so it is unclear what impact not considering real options has on the overall capital budget.
E) Real options should not have any effect on the size of the optimal capital budget.

F) All of the above
G) A) and D)

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The following are all examples of real options that are discussed in the text: (1) protection options, (2) flexibility options, (3) timing options, and (4) abandonment options.

A) True
B) False

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The true expected value of a project with a growth option is the expected NPV of the project (including the value of the option) less the cost of obtaining that option.

A) True
B) False

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