Deck 8: Risk Analysis, Real Options, and Capital Budgeting

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Question
As the degree of sensitivity of a project to a single variable rises,the:

A)lower the forecasting risk of the project.
B)smaller the range of possible outcomes given a pre-defined range of values for the input.
C)more attention management should place on accurately forecasting the future value of that variable.
D)lower the maximum potential value of the project.
E)lower the maximum potential loss of the project.
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Question
All else constant,as the variable cost per unit increases,the:

A)contribution margin decreases.
B)sensitivity to fixed costs decreases.
C)degree of operating leverage decreases.
D)operating cash flow increases.
E)net profit increases.
Question
Simulation analysis is based on assigning a _____ and analyzing the results.

A)narrow range of values to a single variable
B)narrow range of values to multiple variables simultaneously
C)wide range of values to a single variable
D)wide range of values to multiple variables simultaneously
E)single value to each of the variables
Question
Variable costs:

A)change in direct relationship to the quantity of output produced.
B)are constant in the short-run regardless of the quantity of output produced.
C)are equal to the change in a variable when one more unit of output is produced.
D)are subtracted from fixed costs to compute the contribution margin.
E)form the basis that is used to determine the degree of operating leverage employed by a firm.
Question
Conducting scenario analysis helps managers see the:

A)impact of an individual variable on the outcome of a project.
B)potential range of outcomes from a proposed project.
C)changes in long-term debt over the course of a proposed project.
D)possible range of market prices for their firm's stock over the life of a project.
E)allocation distribution of funds for capital projects under conditions of hard rationing.
Question
The sales level that results in a project's net present value exactly equaling zero is called the _____ break-even.

A)operational
B)leveraged
C)accounting
D)cash
E)present value
Question
The type of analysis that is most dependent upon the use of a computer is _____ analysis.

A)scenario
B)break-even
C)sensitivity
D)degree of operating leverage
E)simulation
Question
An analysis of the relationship between the sales volume and various measures of profitability is called _____ analysis.

A)forecasting
B)scenario
C)sensitivity
D)simulation
E)break-even
Question
Sensitivity analysis is conducted by:

A)holding all variables at their base level and changing the required rate of return assigned to a project.
B)changing the value of two variables to determine their interdependency.
C)changing the value of a single variable and computing the resulting change in the current value of a project.
D)assigning either the best or the worst possible value to every variable and comparing the results to those achieved by the base case.
E)managers after a project has been implemented to determine how each variable relates to the level of output realized.
Question
An analysis of what happens to the estimate of net present value when only one variable is changed is called _____ analysis.

A)forecasting
B)scenario
C)sensitivity
D)simulation
E)break-even
Question
Which of the following statements are correct concerning the accounting break-even point?
I.The net income is equal to zero at the accounting break-even point.
II.The net present value is equal to zero at the accounting break-even point.
III.The quantity sold at the accounting break-even point is equal to the total fixed costs plus depreciation divided by the contribution margin.
IV.The quantity sold at the accounting break-even point is equal to the total fixed costs divided by the contribution margin.

A)I and III only.
B)I and IV only.
C)II and III only.
D)II and IV only.
E)I,II,and IV only.
Question
An analysis of what happens to the estimate of the net present value when you examine a number of different likely situations is called _____ analysis.

A)forecasting
B)scenario
C)sensitivity
D)simulation
E)break-even
Question
Fixed costs:

A)change as the quantity of output produced changes.
B)are constant over the short-run regardless of the quantity of output produced.
C)reflect the change in a variable when one more unit of output is produced.
D)are subtracted from sales to compute the contribution margin.
E)can be ignored in scenario analysis since they are constant over the life of a project.
Question
Which one of the following is most likely a variable cost?

A)Office rent.
B)Property taxes.
C)Property insurance.
D)Direct labour costs.
E)Management salaries.
Question
An analysis which combines scenario analysis with sensitivity analysis is called _____ analysis.

A)forecasting
B)scenario
C)sensitivity
D)simulation
E)break-even
Question
The sales level that results in a project's net income exactly equaling zero is called the _____ break-even.

A)operational
B)leveraged
C)accounting
D)cash
E)present value
Question
Sensitivity analysis helps you determine the:

A)range of possible outcomes given possible ranges for every variable.
B)degree to which the net present value reacts to changes in a single variable.
C)net present value given the best and the worst possible situations.
D)degree to which a project is reliant upon the fixed costs.
E)level of variable costs in relation to the fixed costs of a project.
Question
All else equal,the contribution margin must increase as:

A)both the sales price and variable cost per unit increase.
B)the fixed cost per unit declines.
C)the variable cost per unit declines.
D)sales price per unit declines.
E)the sales price minus the fixed cost per unit increases.
Question
Fixed costs I.are variable over long periods of time.
II.must be paid even if production is halted.
III.are generally affected by the amount of fixed assets owned by a firm.
IV.per unit remain constant over a given range of production output.

A)I and III only.
B)II and IV only.
C)I,II,and III only.
D)I,II,and IV only.
E)I,II,III,and IV.
Question
To ascertain whether the accuracy of the variable cost estimate for a project will have much effect on the final outcome of the project,you should probably conduct _____ analysis.

A)leverage
B)scenario
C)break-even
D)sensitivity
E)cash flow
Question
Which of the following statements are correct concerning the present value break-even point of a project?
I.The present value of the cash inflows equals the amount of the initial investment.
II.The payback period of the project is equal to the life of the project.
III.The operating cash flow is at a level that produces a net present value of zero.
IV.The project never pays back on a discounted basis.

A)I and II only.
B)I and III only.
C)II and IV only.
D)III and IV only.
E)I,III,and IV only.
Question
Last month you introduced a new product to the market.Consumer demand has been overwhelming and appears that strong demand will exist over the long-term.Given this
Situation,management should consider the option to:

A)suspend.
B)expand.
C)abandon.
D)contract.
E)withdraw.
Question
Including the option to expand in your project analysis will tend to:

A)extend the duration of a project but not affect the project's net present value.
B)increase the cash flows of a project but decrease the project's net present value.
C)increase the net present value of a project.
D)decrease the net present value of a project.
E)have no effect on either a project's cash flows or its net present value.
Question
Sensitivity analysis evaluates the NPV with respect to:

A)changes in the underlying assumptions.
B)one variable changing while holding the others constant.
C)different economic conditions.
D)All of the above.
E)None of the above.
Question
The present value break-even point is superior to the accounting break-even point because:

A)present value break-even is more complicated to calculate.
B)present value break-even covers the economic opportunity costs of the investment.
C)present value break-even is the same as sensitivity analysis.
D)present value break-even covers the fixed costs of production,which the accounting break-even does not.
E)present value break-even covers the variable costs of production,which the accounting break-even does not.
Question
Variable costs:

A)change as the quantity of output changes.
B)are zero when production is zero.
C)are exemplified by direct labour and raw materials.
D)All of the above.
E)None of the above.
Question
The approach that further attempts to model real world uncertainty by analyzing projects the way one might analyze gambling strategies is called:

A)gambler's approach.
B)blackjack approach.
C)Monte Carlo simulation.
D)scenario analysis.
E)sensitivity analysis.
Question
An investigation of the degree to which NPV depends on assumptions made about any singular critical variable is called a(n):

A)operating analysis.
B)sensitivity analysis.
C)marginal benefit analysis.
D)decision tree analysis.
E)None of the above.
Question
In the present-value break-even the EAC is used to:

A)determine the opportunity cost of investment.
B)allocate depreciation over the life of the project.
C)allocate the initial investment at its opportunity cost over the life of the project.
D)determine the contribution margin to fixed costs.
E)None of the above.
Question
Which of the following are hidden options in capital budgeting?

A)option to expand
B)timing option
C)option to abandon
D)All of the above.
E)None of the above.
Question
The potential decision to abandon a project has option value because:

A)abandonment can occur at any future point in time.
B)a project may be worth more dead than alive.
C)management is not locked into a negative outcome.
D)All of the above.
E)None of the above.
Question
Monte Carlo simulation is:

A)the most widely used by executives.
B)a very simple formula.
C)is more complex than sensitivity or scenario analysis.
D)the oldest capital budgeting technique.
E)None of the above.
Question
23.The point where a project produces a rate of return equal to the required return is known as the:

A)point of zero operating leverage.
B)internal break-even point.
C)accounting break-even point.
D)present value break-even point.
E)income break-even point.
Question
The timing option that gives the option to wait: I.may be of minimal value if the project relates to a rapidly changing technology.
II.is partially dependent upon the discount rate applied to the project being evaluated.
III.is defined as the situation where operations are shut down for a period of time.
IV.has a value equal to the net present value of the project if it is started today versus the net present value if it is started at some later date.

A)I and III only.
B)II and IV only.
C)I and II only.
D)II,III,and IV only.
E)I,II,and IV only.
Question
The investment timing decision relates to:

A)how long the cash flows last once a project is implemented.
B)the decision as to when a project should be started.
C)how frequently the cash flows of a project occur.
D)how frequently the interest on the debt incurred to finance a project is compounded.
E)the decision to either finance a project over time or pay out the initial cost in cash.
Question
Theoretically,the NPV is the most appropriate method to determine the acceptability of a project.A false sense of security can be overwhelm the decision-maker when the procedure is applied properly and the positive NPV results are accepted blindly.Sensitivity and scenario analysis aid in the process by:

A)changing the underlying assumptions on which the decision is based.
B)highlights the areas where more and better data are needed.
C)providing a picture of how an event can affect the calculations.
D)All of the above.
E)None of the above.
Question
In a decision tree,the NPV to make the yes/no decision is dependent on:

A)only the cash flows from successful path.
B)on the path where the probabilities add up to one.
C)all cash flows and probabilities.
D)only the cash flows and probabilities of the successful path.
E)None of the above.
Question
Scenario analysis is different than sensitivity analysis:

A)as no economic forecasts are changed.
B)as several variables are changed together.
C)because scenario analysis deals with actual data versus sensitivity analysis which deals with a forecast.
D)because it is short and simple.
E)because it is a "by the seat of the pants" technique.
Question
Fixed production costs are:

A)directly related to labour costs.
B)measured as cost per unit of time.
C)measured as cost per unit of output.
D)dependent on the amount of goods or services produced.
E)None of the above.
Question
In order to make a decision with a decision tree:

A)one starts farthest out in time to make the first decision.
B)one must begin at time 0.
C)any path can be taken to get to the end.
D)any path can be taken to get back to the beginning.
E)None of the above.
Question
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the earnings before interest and taxes under the expected case scenario?

A)€18,000
B)€24,000
C)€36,000
D)€48,000
E)€54,000
Question
A project has an accounting break-even point of 2,000 units.The fixed costs are €4,200 and the depreciation expense is €400.The projected variable cost per unit is €23.10.What is the projected sales price?

A)€20.80
B)€21.00
C)€21.20
D)€25.40
E)€25.60
Question
At a production level of 6,000 units a project has total costs of €120,000.The variable cost per unit is €14.50.What is the amount of the total fixed costs?

A)€25,165
B)€28,200
C)€30,570
D)€32,000
E)€33,000
Question
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the earnings before interest and taxes under the pessimistic case scenario?

A)-€566.02
B)-€422.40
C)-€278.78
D)€3,554.50
E)€5,385.60
Question
At a production level of 5,600 units a project has total costs of €89,000.The variable cost per unit is €11.20.What is the amount of the total fixed costs?

A)€24,126
B)€26,280
C)€27,090
D)€27,820
E)€28,626
Question
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the operating cash flow for a sensitivity analysis using total fixed costs of €32,000?

A)€14,520
B)€16,520
C)€22,000
D)€44,520
E)€52,000
Question
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.The company conducts a sensitivity analysis using a variable cost of €9.The total variable cost estimate will be:

A)€21,375
B)€22,500
C)€23,625
D)€24,125
E)€24,750
Question
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.What is the contribution margin under the expected case scenario?

A)€2.67
B)€3.00
C)€7.92
D)€8.00
E)€8.72
Question
A proposed project has fixed costs of €3,600,depreciation expense of €1,500,and a sales quantity of 1,300 units.What is the contribution margin if the projected level of sales is the accounting break-even point?

A)€3.92
B)€4.14
C)€4.50
D)€4.80
E)€5.00
Question
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the contribution margin for a sensitivity analysis using a variable cost per unit of €8?

A)€3
B)€4
C)€5
D)€6
E)€7
Question
The accounting break-even production quantity for a project is 5,425 units.The fixed costs are €31,600 and the contribution margin is €6.What is the projected depreciation expense?

A)€700
B)€950
C)€1,025
D)€1,053
E)€1,100
Question
A firm is reviewing a project with labour cost of €8.90 per unit,raw materials cost of €21.63 a unit,and fixed costs of €8,000 a month.Sales are projected at 10,000 units over the three-month life of the project.What are the total variable costs of the project?

A)€216,300
B)€297,300
C)€305,300
D)€313,300
E)€329,300
Question
Ralph and Emma's is considering a project with total sales of €17,500,total variable costs of €9,800,total fixed costs of €3,500,and estimated production of 400 units.The depreciation expense is €2,400 a year.What is the contribution margin per unit?

A)€4.50
B)€10.50
C)€14.14
D)€19.09
E)€19.25
Question
A project has earnings before interest and taxes of €5,750,fixed costs of €50,000,a selling price of €13 a unit,and a sales quantity of 11,500 units.Depreciation is €7,500.What is the variable cost per unit?

A)€6.75
B)€7.00
C)€7.25
D)€7.50
E)€7.75
Question
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.The company is conducting a sensitivity analysis on the sales price using a sales price estimate of €17.Using this value,the earnings before interest and taxes will be:

A)€4,000
B)€6,000
C)€8,500
D)€10,000
E)€18,500
Question
You are considering a new project.The project has projected depreciation of €720,fixed costs of €6,000,and total sales of €11,760.The variable cost per unit is €4.20.What is the accounting break-even level of production?

A)1,200 units
B)1,334 units
C)1,372 units
D)1,889 units
E)1,910 units
Question
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.What is the amount of the fixed cost per unit under the pessimistic case scenario?

A)€4.55
B)€5.00
C)€5.83
D)€6.02
E)€6.55
Question
Wilson's Meats has computed its fixed costs to be €.60 for every pound of meat it sells given an average daily sales level of 500 pounds.It charges €3.89 per pound of top-grade ground beef.The variable cost per pound is €2.99.What is the contribution margin per pound of ground beef sold?

A)€0.30
B)€0.60
C)€0.90
D)€2.99
E)€3.89
Question
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the earnings before interest and taxes under the optimistic case scenario?

A)€22,694.40
B)€24,854.40
C)€37,497.60
D)€52,694.40
E)€67,947.60
Question
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.What is the sales revenue under the optimistic case scenario?

A)€40,000
B)€43,120
C)€44,000
D)€44,880
E)€48,400
Question
The Quick-Start Company has the following pattern of potential cash flows with its planned investment in a new cold weather starting system for fuel injected cars. If the company has a discount rate of 17%,should it decide to invest?

A)yes,NPV = €2.2 million
B)yes,NPV = €21.6 million
C)no,NPV = -€1.9 million
D)yes,NPV = € 8.6 million
E)No,since more than one branch is NPV = 0 or negative,the firm must reject.
Question
The market value of an investment project should be viewed as the sum of the standard NPV and the value of managerial options.Explain three different real or managerial options that management may have,what they are,and how they would influence market value.
Question
You are considering a project which has been assigned a discount rate of 8%.If you start the project today,you will incur an initial cost of €480 and will receive cash inflows of €350 a year for three years.If you wait one year to start the project,the initial cost will rise to €520 and the cash flows will increase to €385 a year for three years.What is the value of the option to wait?

A)€15.23
B)€17.08
C)€18.67
D)€20.20
E)€50.20
Question
Given the following information,calculate the present value break-even point. Initial investment: €2,000
Fixed costs: €2,000 per year
Variable costs: €6 per unit
Depreciation: €250 per year
Price: €20 per unit
Discount rate: 10%
Project life: 4 years
Tax rate: 34%

A)100 units per year.
B)143 units per year.
C)202 units per year.
D)286 units per year.
E)None of the above.
Question
The Mini-Max Company has the following cost information on its new prospective project.Calculate the present value break-even point. Initial investment: €700
Fixed costs are € 200 per year
Variable costs: € 3 per unit
Depreciation: € 140 per year
Price: €8 per unit
Discount rate: 12%
Project life: 3 years
Tax rate: 34%

A)68 units per year.
B)75 units per year.
C)84 units per year.
D)114 units per year.
E)None of the above.
Question
Discuss two shortcomings in the standard decision tree analysis that a financial manager should be cognizant of?
Question
The Quick-Start Company has the following pattern of potential cash flows with its planned investment in a new cold weather starting system for fuel injected cars. If the company has a discount rate of 17%,what is the value closest to time 1 net present value?

A)€ 48.6 million
B)€ 80.9 million
C)€108.2 million
D)€181.4 million
E)None of the above.
Question
The Marx Brewing Company recently installed a new bottling machine.The machine's initial cost is €2,000,and can be depreciated on a straight line basis to a zero salvage in 5 years.The machine's per year fixed cost is €1,800,and its variable cost is €0.50 per unit.The selling price per unit is €1.50.Marx's tax rate is 34%,and it uses a 16% discount rate.Calculate the accounting break-even point on the new machine,as well as the present value break-even point on the new machine.
Question
Kurt Neal and Son is considering a project with a discounted payback just equal to the project's life.The projections include a sales price of €11,variable cost per unit of €8.50,and fixed costs of €4,500.The operating cash flow is €6,200.What is the break-even quantity?

A)1,800 units
B)2,480 units
C)3,057 units
D)3,750 units
E)4,280 units
Question
The Mini-Max Company has the following cost information on its new prospective project.Calculate the accounting break-even point. Initial investment: €700
Fixed costs: €200 per year
Variable costs: €3 per unit
Depreciation: €140 per year
Price: €8 per unit
Discount rate: 12%
Project life: 5 years
Tax rate: 34%

A)25 units per year.
B)68 units per year.
C)103 units per year.
D)113 units per year.
E)None of the above.
Question
What is the benefit of scenario analysis if it does not produce an accept or reject decision for a proposed project?
Question
From the information below,calculate the accounting break-even point. Initial investment: €2,000
Fixed costs are €2,000 per year
Variable costs: €6 per unit
Depreciation: €250 per year
Price: €20 per unit
Discount rate: 10%
Project life: 4 years
Tax rate: 34%

A)88 units per year.
B)100 units per year..
C)143 units per year.
D)161 units per year.
E)None of the above.
Question
Consider the following statement by a project analyst: "I analyzed my project using scenarios for the base case,best case,and worst case.I computed break-evens and degrees of operating leverage.I did sensitivity analysis and simulation analysis.I computed NPV,IRR,payback,AAR,and PI.In the end,I have over a hundred different estimates and am more confused than ever.I would have been better off just sticking with my first estimate and going by my gut reaction." Critique this statement.
Question
Thompson & Son has been busy analyzing a new product.It has determined that an operating cash flow of €16,700 will result in a zero net present value,which is a company requirement for project acceptance.The fixed costs are €12,378 and the contribution margin is €6.20.The company feels that it can realistically capture 10% of the 50,000 unit market for this product.Should the company develop the new product? Why or why not?

A)Yes; because 5,000 units of sales exceeds the quantity required for a zero net present value
B)Yes; because the internal break-even point is less than 5,000 units
C)No; because the firm can not generate sufficient sales to obtain at least a zero net present value
D)No; because the project has an expected internal rate of return of negative 100%
E)No; because the project will not pay back on a discounted basis
Question
A project has a contribution margin of €5,projected fixed costs of €12,000,projected variable cost per unit of €12,and a projected present value break-even point of 5,000 units.What is the operating cash flow at this level of output?

A)€1,000
B)€12,000
C)€13,000
D)€68,000
E)€73,000
Question
Wilson's Antiques is considering a project that has an initial cost today of €10,000.The project has a two-year life with cash inflows of €6,500 a year.Should Wilson's decide to wait one year to commence this project,the initial cost will increase by 5% and the cash inflows will increase to €7,500 a year.What is the value of the option to wait if the applicable discount rate is 10%?

A)€1,006.76
B)€1,235.54
C)€1,509.28
D)€1,606.76
E)€1,735.54
Question
Your firm is considering a project with a five-year life and an initial cost of €120,000.The discount rate for the project is 12%.The firm expects to sell 2,100 units a year.The cash flow per unit is €20.The firm will have the option to abandon this project after three years at which time it expects it could sell the project for €50,000.At what level of sales should the firm be willing to abandon this project?

A)420 units
B)1,041 units
C)1,479 units
D)1,618 units
E)2,500 units
Question
Margerit is reviewing a project with projected sales of 1,500 units a year,a cash flow of €40 a unit and a three-year project life.The initial cost of the project is €95,000.The relevant discount rate is 15%.Margerit has the option to abandon the project after one year at which time she feels she could sell the project for €60,000.At what level of sales should she be willing to abandon the project?

A)899 units
B)923 units
C)967 units
D)1,199 units
E)1,206 units
Question
Your firm is considering a project with a five-year life and an initial cost of €120,000.The discount rate for the project is 12%.The firm expects to sell 2,100 units a year.The cash flow per unit is €20.The firm will have the option to abandon this project after three years at which time it expects it could sell the project for €50,000.You are interested in knowing how the project will perform if the sales forecast for years four and five of the project are revised such that there is a 50% chance that the sales will be either 1,400 or 2,500 units a year.What is the net present value of this project given your sales forecasts?

A)€23,617
B)€23,719
C)€25,002
D)€26,877
E)€28,746
Question
Sensitivity analysis is a method which allows for evaluation of the NPV given a series of changes to the underlying assumptions.Discuss why and how scenario analysis is used in addition to sensitivity analysis.
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Deck 8: Risk Analysis, Real Options, and Capital Budgeting
1
As the degree of sensitivity of a project to a single variable rises,the:

A)lower the forecasting risk of the project.
B)smaller the range of possible outcomes given a pre-defined range of values for the input.
C)more attention management should place on accurately forecasting the future value of that variable.
D)lower the maximum potential value of the project.
E)lower the maximum potential loss of the project.
more attention management should place on accurately forecasting the future value of that variable.
2
All else constant,as the variable cost per unit increases,the:

A)contribution margin decreases.
B)sensitivity to fixed costs decreases.
C)degree of operating leverage decreases.
D)operating cash flow increases.
E)net profit increases.
contribution margin decreases.
3
Simulation analysis is based on assigning a _____ and analyzing the results.

A)narrow range of values to a single variable
B)narrow range of values to multiple variables simultaneously
C)wide range of values to a single variable
D)wide range of values to multiple variables simultaneously
E)single value to each of the variables
wide range of values to multiple variables simultaneously
4
Variable costs:

A)change in direct relationship to the quantity of output produced.
B)are constant in the short-run regardless of the quantity of output produced.
C)are equal to the change in a variable when one more unit of output is produced.
D)are subtracted from fixed costs to compute the contribution margin.
E)form the basis that is used to determine the degree of operating leverage employed by a firm.
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5
Conducting scenario analysis helps managers see the:

A)impact of an individual variable on the outcome of a project.
B)potential range of outcomes from a proposed project.
C)changes in long-term debt over the course of a proposed project.
D)possible range of market prices for their firm's stock over the life of a project.
E)allocation distribution of funds for capital projects under conditions of hard rationing.
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6
The sales level that results in a project's net present value exactly equaling zero is called the _____ break-even.

A)operational
B)leveraged
C)accounting
D)cash
E)present value
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7
The type of analysis that is most dependent upon the use of a computer is _____ analysis.

A)scenario
B)break-even
C)sensitivity
D)degree of operating leverage
E)simulation
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8
An analysis of the relationship between the sales volume and various measures of profitability is called _____ analysis.

A)forecasting
B)scenario
C)sensitivity
D)simulation
E)break-even
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9
Sensitivity analysis is conducted by:

A)holding all variables at their base level and changing the required rate of return assigned to a project.
B)changing the value of two variables to determine their interdependency.
C)changing the value of a single variable and computing the resulting change in the current value of a project.
D)assigning either the best or the worst possible value to every variable and comparing the results to those achieved by the base case.
E)managers after a project has been implemented to determine how each variable relates to the level of output realized.
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10
An analysis of what happens to the estimate of net present value when only one variable is changed is called _____ analysis.

A)forecasting
B)scenario
C)sensitivity
D)simulation
E)break-even
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11
Which of the following statements are correct concerning the accounting break-even point?
I.The net income is equal to zero at the accounting break-even point.
II.The net present value is equal to zero at the accounting break-even point.
III.The quantity sold at the accounting break-even point is equal to the total fixed costs plus depreciation divided by the contribution margin.
IV.The quantity sold at the accounting break-even point is equal to the total fixed costs divided by the contribution margin.

A)I and III only.
B)I and IV only.
C)II and III only.
D)II and IV only.
E)I,II,and IV only.
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12
An analysis of what happens to the estimate of the net present value when you examine a number of different likely situations is called _____ analysis.

A)forecasting
B)scenario
C)sensitivity
D)simulation
E)break-even
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13
Fixed costs:

A)change as the quantity of output produced changes.
B)are constant over the short-run regardless of the quantity of output produced.
C)reflect the change in a variable when one more unit of output is produced.
D)are subtracted from sales to compute the contribution margin.
E)can be ignored in scenario analysis since they are constant over the life of a project.
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14
Which one of the following is most likely a variable cost?

A)Office rent.
B)Property taxes.
C)Property insurance.
D)Direct labour costs.
E)Management salaries.
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15
An analysis which combines scenario analysis with sensitivity analysis is called _____ analysis.

A)forecasting
B)scenario
C)sensitivity
D)simulation
E)break-even
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16
The sales level that results in a project's net income exactly equaling zero is called the _____ break-even.

A)operational
B)leveraged
C)accounting
D)cash
E)present value
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17
Sensitivity analysis helps you determine the:

A)range of possible outcomes given possible ranges for every variable.
B)degree to which the net present value reacts to changes in a single variable.
C)net present value given the best and the worst possible situations.
D)degree to which a project is reliant upon the fixed costs.
E)level of variable costs in relation to the fixed costs of a project.
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18
All else equal,the contribution margin must increase as:

A)both the sales price and variable cost per unit increase.
B)the fixed cost per unit declines.
C)the variable cost per unit declines.
D)sales price per unit declines.
E)the sales price minus the fixed cost per unit increases.
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19
Fixed costs I.are variable over long periods of time.
II.must be paid even if production is halted.
III.are generally affected by the amount of fixed assets owned by a firm.
IV.per unit remain constant over a given range of production output.

A)I and III only.
B)II and IV only.
C)I,II,and III only.
D)I,II,and IV only.
E)I,II,III,and IV.
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20
To ascertain whether the accuracy of the variable cost estimate for a project will have much effect on the final outcome of the project,you should probably conduct _____ analysis.

A)leverage
B)scenario
C)break-even
D)sensitivity
E)cash flow
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21
Which of the following statements are correct concerning the present value break-even point of a project?
I.The present value of the cash inflows equals the amount of the initial investment.
II.The payback period of the project is equal to the life of the project.
III.The operating cash flow is at a level that produces a net present value of zero.
IV.The project never pays back on a discounted basis.

A)I and II only.
B)I and III only.
C)II and IV only.
D)III and IV only.
E)I,III,and IV only.
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22
Last month you introduced a new product to the market.Consumer demand has been overwhelming and appears that strong demand will exist over the long-term.Given this
Situation,management should consider the option to:

A)suspend.
B)expand.
C)abandon.
D)contract.
E)withdraw.
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23
Including the option to expand in your project analysis will tend to:

A)extend the duration of a project but not affect the project's net present value.
B)increase the cash flows of a project but decrease the project's net present value.
C)increase the net present value of a project.
D)decrease the net present value of a project.
E)have no effect on either a project's cash flows or its net present value.
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24
Sensitivity analysis evaluates the NPV with respect to:

A)changes in the underlying assumptions.
B)one variable changing while holding the others constant.
C)different economic conditions.
D)All of the above.
E)None of the above.
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25
The present value break-even point is superior to the accounting break-even point because:

A)present value break-even is more complicated to calculate.
B)present value break-even covers the economic opportunity costs of the investment.
C)present value break-even is the same as sensitivity analysis.
D)present value break-even covers the fixed costs of production,which the accounting break-even does not.
E)present value break-even covers the variable costs of production,which the accounting break-even does not.
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26
Variable costs:

A)change as the quantity of output changes.
B)are zero when production is zero.
C)are exemplified by direct labour and raw materials.
D)All of the above.
E)None of the above.
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27
The approach that further attempts to model real world uncertainty by analyzing projects the way one might analyze gambling strategies is called:

A)gambler's approach.
B)blackjack approach.
C)Monte Carlo simulation.
D)scenario analysis.
E)sensitivity analysis.
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28
An investigation of the degree to which NPV depends on assumptions made about any singular critical variable is called a(n):

A)operating analysis.
B)sensitivity analysis.
C)marginal benefit analysis.
D)decision tree analysis.
E)None of the above.
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29
In the present-value break-even the EAC is used to:

A)determine the opportunity cost of investment.
B)allocate depreciation over the life of the project.
C)allocate the initial investment at its opportunity cost over the life of the project.
D)determine the contribution margin to fixed costs.
E)None of the above.
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30
Which of the following are hidden options in capital budgeting?

A)option to expand
B)timing option
C)option to abandon
D)All of the above.
E)None of the above.
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31
The potential decision to abandon a project has option value because:

A)abandonment can occur at any future point in time.
B)a project may be worth more dead than alive.
C)management is not locked into a negative outcome.
D)All of the above.
E)None of the above.
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32
Monte Carlo simulation is:

A)the most widely used by executives.
B)a very simple formula.
C)is more complex than sensitivity or scenario analysis.
D)the oldest capital budgeting technique.
E)None of the above.
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33
23.The point where a project produces a rate of return equal to the required return is known as the:

A)point of zero operating leverage.
B)internal break-even point.
C)accounting break-even point.
D)present value break-even point.
E)income break-even point.
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34
The timing option that gives the option to wait: I.may be of minimal value if the project relates to a rapidly changing technology.
II.is partially dependent upon the discount rate applied to the project being evaluated.
III.is defined as the situation where operations are shut down for a period of time.
IV.has a value equal to the net present value of the project if it is started today versus the net present value if it is started at some later date.

A)I and III only.
B)II and IV only.
C)I and II only.
D)II,III,and IV only.
E)I,II,and IV only.
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35
The investment timing decision relates to:

A)how long the cash flows last once a project is implemented.
B)the decision as to when a project should be started.
C)how frequently the cash flows of a project occur.
D)how frequently the interest on the debt incurred to finance a project is compounded.
E)the decision to either finance a project over time or pay out the initial cost in cash.
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36
Theoretically,the NPV is the most appropriate method to determine the acceptability of a project.A false sense of security can be overwhelm the decision-maker when the procedure is applied properly and the positive NPV results are accepted blindly.Sensitivity and scenario analysis aid in the process by:

A)changing the underlying assumptions on which the decision is based.
B)highlights the areas where more and better data are needed.
C)providing a picture of how an event can affect the calculations.
D)All of the above.
E)None of the above.
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37
In a decision tree,the NPV to make the yes/no decision is dependent on:

A)only the cash flows from successful path.
B)on the path where the probabilities add up to one.
C)all cash flows and probabilities.
D)only the cash flows and probabilities of the successful path.
E)None of the above.
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38
Scenario analysis is different than sensitivity analysis:

A)as no economic forecasts are changed.
B)as several variables are changed together.
C)because scenario analysis deals with actual data versus sensitivity analysis which deals with a forecast.
D)because it is short and simple.
E)because it is a "by the seat of the pants" technique.
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39
Fixed production costs are:

A)directly related to labour costs.
B)measured as cost per unit of time.
C)measured as cost per unit of output.
D)dependent on the amount of goods or services produced.
E)None of the above.
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40
In order to make a decision with a decision tree:

A)one starts farthest out in time to make the first decision.
B)one must begin at time 0.
C)any path can be taken to get to the end.
D)any path can be taken to get back to the beginning.
E)None of the above.
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41
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the earnings before interest and taxes under the expected case scenario?

A)€18,000
B)€24,000
C)€36,000
D)€48,000
E)€54,000
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42
A project has an accounting break-even point of 2,000 units.The fixed costs are €4,200 and the depreciation expense is €400.The projected variable cost per unit is €23.10.What is the projected sales price?

A)€20.80
B)€21.00
C)€21.20
D)€25.40
E)€25.60
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43
At a production level of 6,000 units a project has total costs of €120,000.The variable cost per unit is €14.50.What is the amount of the total fixed costs?

A)€25,165
B)€28,200
C)€30,570
D)€32,000
E)€33,000
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44
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the earnings before interest and taxes under the pessimistic case scenario?

A)-€566.02
B)-€422.40
C)-€278.78
D)€3,554.50
E)€5,385.60
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45
At a production level of 5,600 units a project has total costs of €89,000.The variable cost per unit is €11.20.What is the amount of the total fixed costs?

A)€24,126
B)€26,280
C)€27,090
D)€27,820
E)€28,626
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46
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the operating cash flow for a sensitivity analysis using total fixed costs of €32,000?

A)€14,520
B)€16,520
C)€22,000
D)€44,520
E)€52,000
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47
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.The company conducts a sensitivity analysis using a variable cost of €9.The total variable cost estimate will be:

A)€21,375
B)€22,500
C)€23,625
D)€24,125
E)€24,750
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48
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.What is the contribution margin under the expected case scenario?

A)€2.67
B)€3.00
C)€7.92
D)€8.00
E)€8.72
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49
A proposed project has fixed costs of €3,600,depreciation expense of €1,500,and a sales quantity of 1,300 units.What is the contribution margin if the projected level of sales is the accounting break-even point?

A)€3.92
B)€4.14
C)€4.50
D)€4.80
E)€5.00
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50
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the contribution margin for a sensitivity analysis using a variable cost per unit of €8?

A)€3
B)€4
C)€5
D)€6
E)€7
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51
The accounting break-even production quantity for a project is 5,425 units.The fixed costs are €31,600 and the contribution margin is €6.What is the projected depreciation expense?

A)€700
B)€950
C)€1,025
D)€1,053
E)€1,100
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52
A firm is reviewing a project with labour cost of €8.90 per unit,raw materials cost of €21.63 a unit,and fixed costs of €8,000 a month.Sales are projected at 10,000 units over the three-month life of the project.What are the total variable costs of the project?

A)€216,300
B)€297,300
C)€305,300
D)€313,300
E)€329,300
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53
Ralph and Emma's is considering a project with total sales of €17,500,total variable costs of €9,800,total fixed costs of €3,500,and estimated production of 400 units.The depreciation expense is €2,400 a year.What is the contribution margin per unit?

A)€4.50
B)€10.50
C)€14.14
D)€19.09
E)€19.25
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54
A project has earnings before interest and taxes of €5,750,fixed costs of €50,000,a selling price of €13 a unit,and a sales quantity of 11,500 units.Depreciation is €7,500.What is the variable cost per unit?

A)€6.75
B)€7.00
C)€7.25
D)€7.50
E)€7.75
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55
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.The company is conducting a sensitivity analysis on the sales price using a sales price estimate of €17.Using this value,the earnings before interest and taxes will be:

A)€4,000
B)€6,000
C)€8,500
D)€10,000
E)€18,500
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56
You are considering a new project.The project has projected depreciation of €720,fixed costs of €6,000,and total sales of €11,760.The variable cost per unit is €4.20.What is the accounting break-even level of production?

A)1,200 units
B)1,334 units
C)1,372 units
D)1,889 units
E)1,910 units
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57
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.What is the amount of the fixed cost per unit under the pessimistic case scenario?

A)€4.55
B)€5.00
C)€5.83
D)€6.02
E)€6.55
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58
Wilson's Meats has computed its fixed costs to be €.60 for every pound of meat it sells given an average daily sales level of 500 pounds.It charges €3.89 per pound of top-grade ground beef.The variable cost per pound is €2.99.What is the contribution margin per pound of ground beef sold?

A)€0.30
B)€0.60
C)€0.90
D)€2.99
E)€3.89
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59
CanDo SA is analyzing a proposed project.The company expects to sell 12,000 units,give or take 4%.The expected variable cost per unit is €7 and the expected fixed cost is €36,000.The fixed and variable cost estimates are considered accurate within a plus or minus 6% range.The depreciation expense is €30,000.The tax rate is 34%.The sale price is estimated at €14 a unit,give or take 5%.The company bases its sensitivity analysis on the expected case scenario.What is the earnings before interest and taxes under the optimistic case scenario?

A)€22,694.40
B)€24,854.40
C)€37,497.60
D)€52,694.40
E)€67,947.60
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60
Adept NV is analyzing a proposed project.The company expects to sell 2,500 units,give or take 10%.The expected variable cost per unit is €8 and the expected fixed costs are €12,500.Cost estimates are considered accurate within a plus or minus 5% range.The depreciation expense is €4,000.The sale price is estimated at €16 a unit,give or take 2%.The company bases its sensitivity analysis on the expected case scenario.What is the sales revenue under the optimistic case scenario?

A)€40,000
B)€43,120
C)€44,000
D)€44,880
E)€48,400
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61
The Quick-Start Company has the following pattern of potential cash flows with its planned investment in a new cold weather starting system for fuel injected cars. If the company has a discount rate of 17%,should it decide to invest?

A)yes,NPV = €2.2 million
B)yes,NPV = €21.6 million
C)no,NPV = -€1.9 million
D)yes,NPV = € 8.6 million
E)No,since more than one branch is NPV = 0 or negative,the firm must reject.
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62
The market value of an investment project should be viewed as the sum of the standard NPV and the value of managerial options.Explain three different real or managerial options that management may have,what they are,and how they would influence market value.
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63
You are considering a project which has been assigned a discount rate of 8%.If you start the project today,you will incur an initial cost of €480 and will receive cash inflows of €350 a year for three years.If you wait one year to start the project,the initial cost will rise to €520 and the cash flows will increase to €385 a year for three years.What is the value of the option to wait?

A)€15.23
B)€17.08
C)€18.67
D)€20.20
E)€50.20
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64
Given the following information,calculate the present value break-even point. Initial investment: €2,000
Fixed costs: €2,000 per year
Variable costs: €6 per unit
Depreciation: €250 per year
Price: €20 per unit
Discount rate: 10%
Project life: 4 years
Tax rate: 34%

A)100 units per year.
B)143 units per year.
C)202 units per year.
D)286 units per year.
E)None of the above.
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65
The Mini-Max Company has the following cost information on its new prospective project.Calculate the present value break-even point. Initial investment: €700
Fixed costs are € 200 per year
Variable costs: € 3 per unit
Depreciation: € 140 per year
Price: €8 per unit
Discount rate: 12%
Project life: 3 years
Tax rate: 34%

A)68 units per year.
B)75 units per year.
C)84 units per year.
D)114 units per year.
E)None of the above.
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66
Discuss two shortcomings in the standard decision tree analysis that a financial manager should be cognizant of?
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67
The Quick-Start Company has the following pattern of potential cash flows with its planned investment in a new cold weather starting system for fuel injected cars. If the company has a discount rate of 17%,what is the value closest to time 1 net present value?

A)€ 48.6 million
B)€ 80.9 million
C)€108.2 million
D)€181.4 million
E)None of the above.
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68
The Marx Brewing Company recently installed a new bottling machine.The machine's initial cost is €2,000,and can be depreciated on a straight line basis to a zero salvage in 5 years.The machine's per year fixed cost is €1,800,and its variable cost is €0.50 per unit.The selling price per unit is €1.50.Marx's tax rate is 34%,and it uses a 16% discount rate.Calculate the accounting break-even point on the new machine,as well as the present value break-even point on the new machine.
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69
Kurt Neal and Son is considering a project with a discounted payback just equal to the project's life.The projections include a sales price of €11,variable cost per unit of €8.50,and fixed costs of €4,500.The operating cash flow is €6,200.What is the break-even quantity?

A)1,800 units
B)2,480 units
C)3,057 units
D)3,750 units
E)4,280 units
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70
The Mini-Max Company has the following cost information on its new prospective project.Calculate the accounting break-even point. Initial investment: €700
Fixed costs: €200 per year
Variable costs: €3 per unit
Depreciation: €140 per year
Price: €8 per unit
Discount rate: 12%
Project life: 5 years
Tax rate: 34%

A)25 units per year.
B)68 units per year.
C)103 units per year.
D)113 units per year.
E)None of the above.
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71
What is the benefit of scenario analysis if it does not produce an accept or reject decision for a proposed project?
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72
From the information below,calculate the accounting break-even point. Initial investment: €2,000
Fixed costs are €2,000 per year
Variable costs: €6 per unit
Depreciation: €250 per year
Price: €20 per unit
Discount rate: 10%
Project life: 4 years
Tax rate: 34%

A)88 units per year.
B)100 units per year..
C)143 units per year.
D)161 units per year.
E)None of the above.
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73
Consider the following statement by a project analyst: "I analyzed my project using scenarios for the base case,best case,and worst case.I computed break-evens and degrees of operating leverage.I did sensitivity analysis and simulation analysis.I computed NPV,IRR,payback,AAR,and PI.In the end,I have over a hundred different estimates and am more confused than ever.I would have been better off just sticking with my first estimate and going by my gut reaction." Critique this statement.
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74
Thompson & Son has been busy analyzing a new product.It has determined that an operating cash flow of €16,700 will result in a zero net present value,which is a company requirement for project acceptance.The fixed costs are €12,378 and the contribution margin is €6.20.The company feels that it can realistically capture 10% of the 50,000 unit market for this product.Should the company develop the new product? Why or why not?

A)Yes; because 5,000 units of sales exceeds the quantity required for a zero net present value
B)Yes; because the internal break-even point is less than 5,000 units
C)No; because the firm can not generate sufficient sales to obtain at least a zero net present value
D)No; because the project has an expected internal rate of return of negative 100%
E)No; because the project will not pay back on a discounted basis
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75
A project has a contribution margin of €5,projected fixed costs of €12,000,projected variable cost per unit of €12,and a projected present value break-even point of 5,000 units.What is the operating cash flow at this level of output?

A)€1,000
B)€12,000
C)€13,000
D)€68,000
E)€73,000
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76
Wilson's Antiques is considering a project that has an initial cost today of €10,000.The project has a two-year life with cash inflows of €6,500 a year.Should Wilson's decide to wait one year to commence this project,the initial cost will increase by 5% and the cash inflows will increase to €7,500 a year.What is the value of the option to wait if the applicable discount rate is 10%?

A)€1,006.76
B)€1,235.54
C)€1,509.28
D)€1,606.76
E)€1,735.54
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77
Your firm is considering a project with a five-year life and an initial cost of €120,000.The discount rate for the project is 12%.The firm expects to sell 2,100 units a year.The cash flow per unit is €20.The firm will have the option to abandon this project after three years at which time it expects it could sell the project for €50,000.At what level of sales should the firm be willing to abandon this project?

A)420 units
B)1,041 units
C)1,479 units
D)1,618 units
E)2,500 units
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78
Margerit is reviewing a project with projected sales of 1,500 units a year,a cash flow of €40 a unit and a three-year project life.The initial cost of the project is €95,000.The relevant discount rate is 15%.Margerit has the option to abandon the project after one year at which time she feels she could sell the project for €60,000.At what level of sales should she be willing to abandon the project?

A)899 units
B)923 units
C)967 units
D)1,199 units
E)1,206 units
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79
Your firm is considering a project with a five-year life and an initial cost of €120,000.The discount rate for the project is 12%.The firm expects to sell 2,100 units a year.The cash flow per unit is €20.The firm will have the option to abandon this project after three years at which time it expects it could sell the project for €50,000.You are interested in knowing how the project will perform if the sales forecast for years four and five of the project are revised such that there is a 50% chance that the sales will be either 1,400 or 2,500 units a year.What is the net present value of this project given your sales forecasts?

A)€23,617
B)€23,719
C)€25,002
D)€26,877
E)€28,746
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80
Sensitivity analysis is a method which allows for evaluation of the NPV given a series of changes to the underlying assumptions.Discuss why and how scenario analysis is used in addition to sensitivity analysis.
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