Deck 8: Net Present Value and Other Investment Criteria

Question 1

The payback rule states that a project is acceptable if you get your money back within a specified period.

Answer 1

True

Question 2

For mutually exclusive projects,the project with the higher IRR is the correct selection.

Answer 2

False

Question 3

When choosing among mutually exclusive projects with similar lives,the choice is easy using the NPV rule.As long as at least one project has positive NPV,simply choose the project with the highest NPV.

Answer 3

True

Question 4

The payback rule always makes shareholders better off.

Question 5

When using a profitability index to select projects,a high value is preferred over a low value.

Question 6

The IRR is the rate of return on the cash flows of the investment,also known as the opportunity cost of capital.

Question 7

For most managers,discounted cash-flow analysis is in fact the dominant tool for project evaluation.

Question 8

Soft rationing should never cost the firm anything.

Question 9

The payback period considers all project cash flows.

Question 10

A risky dollar is worth more than a safe one.

Question 11

If a project has multiple IRRs,the lowest one is incorrect.

Question 12

When we compare assets with different lives,we should select the machine that has the lowest equivalent annual cost.

Question 13

A project's payback period is the length of time necessary to generate an NPV of zero.

Question 14

As the opportunity cost of capital decreases,the net present value of a project increases.

Question 15

Unlike using IRR,selecting projects according to their NPV will always lead to a correct accept-reject decision.

Question 16

Projects with an NPV of zero decrease shareholders' wealth by the cost of the project.

Question 17

Because of deficiencies associated with the payback method,it is seldom used in corporate financial analysis today.

Question 18

When calculating IRR with a trial and error process,discount rates should usually be raised when NPV is positive.

Question 19

Both the NPV and the internal rate of return methods recognize that the timing of cash flows affects project value.

Question 20

For many firms the limits on capital funds are "soft." By this we mean that the capital rationing is not imposed by investors.

Question 21

The internal rate of return is most reliable when evaluating:

A) a single project with alternating cash inflows and outflows over several years.
B) mutually exclusive projects of differing sizes.
C) a single project with only cash inflows following the initial cash outflow.
D) a single project with cash outflows at time 0 and the final year and inflows in all other time periods.

Question 22

If a project's NPV is calculated to be negative what should a project manner do?

A) The discount rate should be decreased.
B) The profitability index should be calculated.
C) The present value of the project cost should be determined.
D) The project should be rejected.

Question 23

Which one of the following changes will increase the NPV of a project?

A) A decrease in the discount rate
B) A decrease in the size of the cash inflows
C) An increase in the initial cost of the project
D) A decrease in the number of cash inflows

Question 24

A project's opportunity cost of capital is:

A) the return that shareholders could expect to earn by investing in the financial markets.
B) the return earned by investing in the project.
C) equal to the average return on all company projects.
D) designed to be less than the project's IRR.

Question 25

What is the maximum amount a firm should pay for a project that will return $15,000 annually for 5 years if the opportunity cost is 10%?

A) $24,157.65
B) $56,861.80
C) $62,540.10
D) $48,021.19

Question 26

The decision rule for net present value is to:

A) accept all projects with cash inflows exceeding the initial cost.
B) reject all projects with rates of return exceeding the opportunity cost of capital.
C) accept all projects with positive net present values.
D) reject all projects lasting longer than 10 years.

Question 27

One way to increase the NPV of a project is to decrease the:

A) project's payback period.
B) profitability index.
C) time until the receipt of cash inflows.
D) number of project IRRs.

Question 28

Firms that make investment decisions based on the payback rule may be biased toward rejecting projects:

A) with short lives.
B) with long lives.
C) with late cash inflows.
D) that have negative NPVs.

Question 29

Which of the following projects would you feel safest in accepting? Assume the opportunity cost of capital to be 12% for each project.

A) "A" has a small, but negative, NPV.
B) "B" has a positive NPV when discounted at 10%.
C) "C's" cost of capital exceeds its rate of return.
D) "D" has a zero NPV when discounted at 14%.

Question 30

A project requires an initial outlay of $10 million.If the cost of capital exceeds the project IRR,then the project has a(n):

A) positive NPV.
B) negative NPV.
C) acceptable payback period.
D) positive profitability index.

Question 31

When a project's internal rate of return equals its opportunity cost of capital,then the:

A) project should be rejected.
B) project has no cash inflows.
C) net present value will be positive.
D) net present value will be zero.

Question 32

If the net present value of a project that costs $20,000 is $5,000 when the discount rate is 10%,then the:

A) project's IRR equals 10%.
B) project's rate of return is greater than 10%.
C) net present value of the cash inflows is $4,500.
D) project's cash inflows total $25,000.

Question 33

When you are considering whether to replace an aging machine with a new one,you should compare the equivalent annual cost of operating the old one with the equivalent annual cost of the new one.

Question 34

When you have to choose between projects with different lives,you should put them on an equal footing by computing the equivalent annual annuity or benefit of the two projects.

Question 35

As the discount rate is increased,the NPV of a specific project will:

A) increase.
B) decrease.
C) remain constant.
D) decrease to zero, then remain constant.

Question 36

The modified internal rate of return can be used to correct for:

A) negative NPV calculations.
B) multiple internal rates of return.
C) undefined payback periods.
D) borrowing projects.

Question 37

When a manager does not accept a positive-NPV project,shareholders face an opportunity cost in the amount of the:

A) project's initial cost.
B) project's NPV.
C) project's discounted cash inflows.
D) soft capital rationing budget.

Question 38

Which one of the following statements is correct for a project with a positive NPV?

A) The IRR must be greater than 0.
B) Accepting the project has an indeterminate effect on shareholders.
C) The discount rate exceeds the cost of capital.
D) The profitability index equals 1.

Question 39

What is the maximum that should be invested in a project at time zero if the inflows are estimated at $50,000 annually for 3 years,and the cost of capital is 9%?

A) $101,251.79
B) $109,200.00
C) $126,564.73
D) $130,800.00

Question 40

What is the NPV of a project that costs $100,000 and returns $50,000 annually for 3 years if the opportunity cost of capital is 14%?

A) $13,397.57
B) $14,473.44
C) $16,081.60
D) $33,748.58

Question 41

A project costing $20,000 generates cash inflows of $9,000 annually for the first 3 years,followed by cash outflows of $1,000 annually for 2 years.At most,this project has ______ different IRR(s).

A) one
B) two
C) three
D) five

Question 42

An investment costs $100,000 and provides a cash inflow of $17,000 per year.If the discount rate is 13%,how long must the cash inflows last for it to be an acceptable investment?

A) 24 years
B) 6 years
C) 10 years
D) 12 years

Question 43

When projects are mutually exclusive,you should choose the project with the:

A) longer life.
B) larger initial size.
C) highest IRR.
D) highest NPV.

Question 44

Given a particular set of project cash flows,which one of the following statements must be correct?

A) There can be only one NPV for the project.
B) There can be only one IRR for the project.
C) There can be more than one IRR for the project.
D) There can be up to two profitability indexes for any project.

Question 45

If a project costs $72,000 and returns $18,500 per year for 5 years,what is its IRR?

A) 8.98%
B) 7.39%
C) 8.50%
D) 7.67%

Question 46

Which mutually exclusive project would you select,if both are priced at $1,000 and your required return is 15%: Project A with three annual cash flows of $1,000; or Project B,with 3 years of zero cash flow followed by 3 years of $1,500 annually?

A) Project A
B) Project B
C) You are indifferent since the NPVs are equal.
D) Neither project should be selected.

Question 47

When managers select correctly from among mutually exclusive projects,they:

A) may give up rate of return for NPV.
B) may give up NPV for rate of return.
C) have a tendency to select the largest project.
D) focus on the payback method to avoid conflicting signals.

Question 48

You are analyzing a project that is equivalent to borrowing money.This project's:

A) NPV graph rises as discount rates decrease.
B) initial cash flow is an outflow of funds.
C) value increases when the cost of capital increases.
D) acceptance requires its IRR to exceed the cost of capital.

Question 49

If two machines produce the same product but have different lives,you should choose the machine with the:

A) highest IRR.
B) longest life.
C) lowest equivalent annual cost.
D) highest NPV, discounted at the opportunity cost of capital.

Question 50

If the IRR for a project is 15%,then the project's NPV would be:

A) negative at a discount rate of 10%.
B) positive at a discount rate of 20%.
C) negative at a discount rate of 20%.
D) positive at a discount rate of 15%.

Question 51

Two mutually exclusive projects have the same IRR.When will you be indifferent between them?

A) When the IRR is equal to the cost of capital.
B) Always if they have the same IRR.
C) When the IRR is less than the cost of capital.
D) When there is only one change in the sign of the cash flows.

Question 52

A project can have as many different internal rates of return as it has:

A) cash inflows.
B) cash outflows.
C) periods of cash flow.
D) changes in the sign of the cash flows.

Question 53

What is the IRR of a project with the following cash flows: C₀ = −$200,C₁ = $ 110,C₂ = $121?

A) Zero
B) 10%
C) 18%
D) 5%

Question 54

How many IRRs are possible for the following set of cash flows? CF₀ = −$1,000,C₁ = $500,C₂ = −$300,C₃ = $1,000,C₄ = $200.

A) One
B) Two
C) Three
D) Four

Question 55

What is the NPV for the following project cash flows at a discount rate of 15%? C₀ = −$1,000,C₁ = $700,C₂ = $700.

A) ($308.70)
B) ($138.00)
C) $138.00
D) $308.70

Question 56

As long as the NPV of a project declines smoothly with increases in the discount rate,the project is acceptable if its:

A) internal rate of return is positive.
B) payback period is greater than one.
C) rate of return exceeds the cost of capital.
D) cash inflows equal the initial cost.

Question 57

What is the IRR for a project that costs $100,000 and provides annual cash inflows of $30,000 for 6 years starting one year from today?

A) 19.91%
B) 16.67%
C) 15.84%
D) 22.09%

Question 58

What is the IRR of a project that costs $100,000 and provides cash inflows of $17,000 annually for 6 years?

A) 0.57%
B) 1.21%
C) 5.69%
D) 12.10%

Question 59

When evaluating mutually exclusive projects,remember:

A) the project with the higher IRR may have the higher NPV at one discount rate and a lower NPV at another .
B) cash flows cannot be discounted when considering mutually exclusive projects.
C) mutually exclusive projects produce negative IRR values.
D) mutually exclusive projects always have multiple IRRs.

Question 60

When managers cannot determine whether to invest now or wait until costs decrease later,the rule should be to:

A) postpone until costs reach their lowest level.
B) invest now to maximize the NPV.
C) postpone until the opportunity cost reaches its lowest level.
D) invest at the date that provides the highest NPV today.

Question 61

Which one of the following should be assumed about a project that requires a $100,000 investment at time zero,then returns $20,000 annually for 5 years?

A) The NPV is negative.
B) The NPV is zero.
C) The profitability index is 1.0.
D) The IRR is negative.

Question 62

If a project has a cost of $50,000 and a profitability index of 2,then:

A) it has a negative NPV.
B) its NPV could be positive or negative depending on the cost of capital.
C) its cash flow is $100,000.
D) it has a positive NPV.

Question 63

Soft capital rationing is imposed upon a firm by _____,while hard capital rationing is imposed by _____.

A) management; the capital market.
B) the capital market; management.
C) the government; the capital market.
D) the capital market; the government.

Question 64

Which of the following investment decision rules tends to improperly reject long-lived projects?

A) Net present value
B) Internal rate of return
C) Payback period
D) Profitability index

Question 65

Soft capital rationing:

A) is costly to shareholders.
B) is used to evaluate mutually exclusive projects.
C) should be costless to the shareholders of the firm.
D) solves the problem of investment timing.

Question 66

In simple cases when hard capital rationing exists,projects may be evaluated by :

A) the payback period.
B) mutually exclusive IRRs.
C) a profitability index.
D) the modified internal rate of return.

Question 67

What is the profitability index for a project costing $40,000 and returning $15,000 annually for 4 years at an opportunity cost of capital of 12%?

A) 0.139
B) 0.320
C) 0.500
D) 0.861

Question 68

The opportunity cost of capital is equal to:

A) the discount rate that makes the project NPV equal zero.
B) the return that shareholders could expect by investing their money in the financial markets.
C) a project's internal rate of return.
D) the average rate of return for a firm's projects.

Question 69

The profitability index selects projects based on the:

A) highest net discounted value at time zero.
B) highest internal rate of return.
C) largest dollar investment per rate of return.
D) largest return per dollar invested.

Question 70

If a project's expected rate of return exceeds its opportunity cost of capital,one would expect:

A) the profitability index to be negative.
B) the opportunity cost of capital to be too low.
C) the project to have a positive NPV.
D) the NPV to be zero.

Question 71

For mutually exclusive projects,the IRR can be used to select the best project:

A) by calculating the modified internal rate of return.
B) by calculating the IRR based on incremental cash flows.
C) by using the discount rate to calculate the IRR.
D) never. IRR cannot be utilized for mutually exclusive projects.

Question 72

When calculating a project's payback period,cash flows are:

A) discounted at the opportunity cost of capital.
B) discounted at the internal rate of return.
C) discounted at the risk-free rate of return.
D) not discounted at all.

Question 73

Which of the following statements is true for a project with a $20,000 initial cost,cash inflows of $6,667 per year for 6 years,and a discount rate of 15%?

A) Its payback period is 3 years.
B) Its NPV is $2,094.
C) Its IRR is 17.85%.
D) Its profitability index is 0.104.

Question 74

Which of the following investment criteria takes the time value of money into consideration?

A) Net present value only
B) Profitability index and net present value only
C) Internal rate of return and net present value only
D) Profitability index, internal rate of return, and net present value

Question 75

What is the possible cost of capital rationing?

A) The firm may have excess fixed assets.
B) The firm is likely to take too many risky projects.
C) The firm may miss out on positive NPV opportunities
D) The firm may have too high a cost of capital.

Question 76

Use of a profitability index to evaluate mutually exclusive projects in the absence of capital rationing:

A) will provide the same rankings as an NPV criterion.
B) will maximize NPV, but not IRR.
C) can result in misguided selections.
D) is technically impossible.

Question 77

The "gold standard" of investment criteria refers to the:

A) net present value rule.
B) internal rate of return rule.
C) payback rule.
D) profitability index rule.

Question 78

A project with an IRR that is less than the opportunity cost of capital should be:

A) accepted for all projects.
B) accepted only for projects with a positive initial cash flow.
C) accepted only for projects with a negative initial cash flow.
D) rejected for all projects.

Question 79

Occasionally projects may have positive initial cash flows.Such projects:

A) are like lending money.
B) are like borrowing money.
C) have no IRR.
D) their IRR increases as the cost of capital increases.

Question 80

The ratio of net present value to initial investment is known as the:

A) net present value.
B) internal rate of return.
C) payback period.
D) profitability index.