chapter 26- capital budgeting

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CHAPTER 26 CAPITAL BUDGETING  e on Brief Learning Exercises Topic Objectives Skills B. Ex. 26.1 Understanding payback period 3 Analysis B. Ex. 26.2 Use of return on investment 3 Analysis B. Ex. 26.3 Comparing NPV and required rate of return 3, 4 Analysis B. Ex. 26.4 Net present value computations 3 Analysis B. Ex. 26.5 Computations for payback period 3 Analysis B. Ex. 26.6 Capital investment challenges 1, 2 Analysis, judgment B. Ex. 26.7 Net present value and required rate of return 3, 4 Analysis, judgment B. Ex. 26.8 Capital budgeting behaviors 5 Analysis, judgment B. Ex. 26.9 Net present value analysis 3 Analysis B. Ex. 26.10 Nonfinancial investment concerns 2 Analysis, communication,  judgment Learning Exercises Topic Objectives Skills 26.1 Accounting terminology 1–5 Analysis 26.2 Payback period 1–3 Analysis, communication,  judgment 26.3 Understanding return on average investment 1, 3 Analysis 26.4 Discounting cash flows 3 Analysis 26.5 Understanding net present value 3 Analysis 26.6 Analyzing a capital investment proposal 1, 3 Analysis 26.7 Analyzing capital investment proposal 1–4 Analysis, communication,  judgment 26.8 Analyzing capital investment proposal 1, 3 Analysis 26.9 Competing investment proposals 1, 2, 5 Analysis, communication,  judgment 26.10 Replacing existing equipment 1–3, 5 Analysis, communication,  judgment 26.11 Gains and losses on sale of equipment 3 Analysis 26.12 Depreciation effects on cash flows 3 Analysis OVERVIEW OF BRIEF EXERCISES, EXERCISES, PROBLEMS, AND CRITICAL THINKING CASES © The McGraw-Hill Companies, Inc., 2010 CH26-Overview

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    CHAPTER 26

    CAPITAL BUDGETINGe on

    Brief LearningExercises Topic Objectives Skills

    B. Ex. 26.1 Understanding payback period 3 Analysis

    B. Ex. 26.2 Use of return on investment 3 Analysis

    B. Ex. 26.3 Comparing NPV and required rate of return 3, 4 Analysis

    B. Ex. 26.4 Net present value computations 3 Analysis

    B. Ex. 26.5 Computations for payback period 3 Analysis

    B. Ex. 26.6 Capital investment challenges 1, 2 Analysis, judgment

    B. Ex. 26.7 Net present value and required rate of return 3, 4 Analysis, judgment

    B. Ex. 26.8 Capital budgeting behaviors 5 Analysis, judgment

    B. Ex. 26.9 Net present value analysis 3 Analysis

    B. Ex. 26.10 Nonfinancial investment concerns 2 Analysis, communication,

    judgment

    Learning

    Exercises Topic Objectives Skills

    26.1 Accounting terminology 15 Analysis

    26.2 Payback period 13 Analysis, communication,

    judgment

    26.3 Understanding return on average investment 1, 3 Analysis26.4 Discounting cash flows 3 Analysis

    26.5 Understanding net present value 3 Analysis

    26.6 Analyzing a capital investment proposal 1, 3 Analysis

    26.7 Analyzing capital investment proposal 14 Analysis, communication,

    judgment

    26.8 Analyzing capital investment proposal 1, 3 Analysis

    26.9 Competing investment proposals 1, 2, 5 Analysis, communication,

    judgment

    26.10 Replacing existing equipment 13, 5 Analysis, communication,

    judgment

    26.11 Gains and losses on sale of equipment 3 Analysis

    26.12 Depreciation effects on cash flows 3 Analysis

    OVERVIEW OF BRIEF EXERCISES, EXERCISES, PROBLEMS, AND CRITICAL

    THINKING CASES

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    Learning

    Exercises Topic Objectives Skills

    26.13 Net present value in a not-for-profit 2, 3 Analysis, communication,

    judgment

    26.14 NPV of uneven cash flows 3 Analysis

    26.15 Real World: Home Depots present value of

    store closing costs

    13 Analysis, communication,

    judgment , research

    Problems Learning

    Sets A, B Topic Objectives Skills

    26.1 A,B Capital budgeting and determination of

    annual net cash flow

    14 Analysis

    26.2 A,B Analyzing capital investment proposals 14 Analysis, judgment,

    communication

    26.3 A,B Analyzing capital investment proposals 14 Analysis, judgment,

    communication

    26.4 A,B Capital budgeting using multiple models 14 Analysis, judgment,

    communication

    26.5 A,B Capital budgeting using multiple models 14 Analysis, communication,

    judgment

    26.6 A,B Analyzing a capital investment proposal 3 Analysis

    26.7 A,B Considering financial and nonfinancial

    factors

    14 Analysis, communication,

    judgment

    26.8 A,B Analyzing competing capital investment

    proposals

    14 Analysis, communication,

    judgment

    26.9 A,B Analyzing competing capital investment

    proposals

    15 Analysis, communication,

    judgment

    Critical Thinking Cases

    26.1 How much is that laser in the window? 24 Analysis, communication,

    judgment

    26.2 Dollars and cents versus a sense of ethics 15 Analysis, communication,

    research

    26.3 International investments in outsourcing 1, 2, 5 Analysis, communication,

    (Business Week) judgment

    26.4 Real World: Sears 1, 2, 5 Analysis, communication

    Capital investment history judgment, research,

    (Internet) technology

    26.5 Real World: Red Robin Gourmet 5 Analysis, communication

    Burgers judgment

    (Ethics, fraud and corporate governance)

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    DESCRIPTIONS OF PROBLEMS AND CRITICAL THINKING CASES

    Problems (Sets A and B) 26.1 A,B Toying with Nature/Monster Toys 30 Strong

    Covers incremental analysis and three basic capital budgeting

    techniques in a single problem.

    26.2 A,B Micro Technology/Macro Technology 25 Medium

    Basic capital budgeting. Compute the payback period, return on average

    investment, and net present value of two investment alternatives.

    Student must decide which investment to select.

    26.3 A,B Banner Equipment Co./Flagg Equipment Co. 25 Medium

    Basic capital budgeting. Compute the payback period, return on averageinvestment, and net present value of two investment alternatives.

    Student must decide which investment to select.

    26.4 A,B Marengo/Tango 25 Medium

    Basic capital budgeting. Compute the payback period, return on average

    investment, and net present value of two investment alternatives.

    Student must decide which investment to select.

    26.5 A,B V.S. Yogurt/I.C. Cream 25 Medium

    Basic capital budgeting. Compute the payback period, return on average

    investment, and net present value of two investment alternatives.

    Student must decide which investment to select.

    26.6 A,B Rothmore Appliance Company/Cafield Appliance Company 30 Strong

    Prepare a schedule showing the estimated incremental net income from

    proposed introduction of a new product. Compute annual cash flow,

    payback period, return on average investment, and net present value of

    the investment proposal.

    26.7 A,B Doctors 40 Strong

    Students must determine whether it is profitable for several doctors toinvest their money in an expensive piece of testing equipment. Requires

    financial analysis and consideration of nonfinancial aspects of their

    decision.

    Below are brief descriptions of each problem and case. These descriptions are accompanied by the

    estimated time (in minutes) required for completion and by a difficulty rating. The time estimates

    assume use of the partially filled-in working papers.

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    Description of Problems

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    26.8 A,B Jefferson Mountain/Madison Mountain 50 Strong

    A small ski resort must decide between alternative investment

    proposals. Students are asked to analyze financial and nonfinancial

    considerations relevant to the decision.

    26.9 A,B Sonic, Inc./Boom, Inc. 45 Strong

    A software company is trying to decide how to market their software.Students are asked to analyze financial and nonfinancial

    considerations relevant to the decision.

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    Critical Thinking Cases

    26.1 The Case of the Costly Laser 25

    Compute the net present value of a proposal to replace existing

    equipment with new, more efficient equipment. The sale of the existing

    equipment will involve a large loss. Students are asked to comment on

    the relevance of this sunk cost.

    26.2 Grizzly Community Hospital 60

    A small community hospital considers a major capital investment in a

    regional kidney center. Students are asked to analyze financial and

    nonfinancial information relevant to the decision, explore alternative

    uses of resources, and help the hospital define its role.

    26.3 International Investments in Outsourcing 20

    Business Week

    The cash flows associated with offshore investments are identified.

    Ethical considerations of asking domestic employees to train their

    international replacements are considered.

    26.4 Sears, Roebuck and Company 25

    Internet

    This assignment requires students to review a short history of Sears and

    identify major capital investment decisions made by the company since

    its inception in the late 1800s. For one such decision, nonfinancial

    considerations are to be discussed.

    26.5 Goverance and Capital Budgeting Conflicts 30

    Ethics, Fraud & Corporate Governance

    Governance violations at Red Robin Gourmet Burgers leads to capital

    budgeting conflicts of interest.

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    Strong

    Strong

    Medium

    Easy

    Medium

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    SUGGESTED ANSWERS TO DISCUSSION QUESTIONS

    1.

    2.

    3.

    4.

    5.

    6.

    7.

    8.

    In appraising the adequacy of a rate of return, an investor should consider the cost of investment

    capital, the rates of return available on alternative investment opportunities, the risk associated

    with realizing the estimated rates of return, and the nonfinancial aspects of this and other

    investment opportunities.

    Capital budgetingis the process of planning and evaluating investments in plant assets. Capital

    budgeting decisions are crucial to the long-run financial health of a business enterprise because

    large amounts of funds are committed for long periods of time. Also, capital budgeting decisions

    often are difficult to reverse once the funds have been committed.

    Corporate management would allow a lower rate of return for newly developing divisions, when

    there is a strategic necessity to penetrate a new market, or when acquiring a new technology

    where cash flow estimation is extremely difficult.

    The major shortcoming in using the payback period as the sole criterion in capital budgeting

    decisions is that this method ignores the totallife and, therefore, the total profitability and total

    cash flow to be derived from the investment.

    The present value of a future amount is the amount of money which, if invested today to earn a

    return equal to the discount rate, would become equivalent to the future amount at the future

    date. Less money needs to be invested to grow to a specified amount if that investment will earn

    a 15% return than if it will earn only 10%.

    The present value of a future cash flow is dependent upon (1) the amount of the future cash flow,

    (2) the length of time until that cash flow will occur, and (3) the discount rate used to reduce the

    future cash flow to its present value.

    Discounting cash flows takes into consideration the timingof the earnings stream. The return on

    average investment is based upon average annual earnings and, therefore, does not distinguish

    between income received early or late in the life of the investment. Discounting cash flows

    recognizes the time value of moneythe economic fact that receiving a given cash flow in the

    near future is preferable to receiving the same cash flow in the more distant future.

    Nonfinancial considerations associated with the installation of a fire sprinkler system may

    include (1) an ethical responsibility to provide safe working conditions, (2) compliance with

    federal and/or state safety standards, and (3) reducing the risk of having inventory destroyed by

    fire.

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    9.

    10.

    11.

    12.

    13.

    14. Although depreciation expense does not require a payment in cash, it is an important

    consideration in the discounting of an investments future cash flows because of its income

    tax consequences.

    Timing differences are very important in present value computations and projects that have

    more significant cash inflows after several years will inevitably have lower present values

    than projects with significant cash inflows in the immediate years after the investment has

    been made. To consider this difference, consider making an investment in an existing

    McDonalds that is well established with a current stream of positive net cash flows. Now

    consider starting a new business with a franchise that is not as well known. The new business

    will require construction before it even opens, delaying cash flows. Even after it is open it will

    take significant time to build up a steady clientele. These differences in timing of cash flows

    can make purchasing an existing business with a strong brand a more attractive (and as a result

    a more expensive) alternative.

    If an investment with no salvage value has a payback period that exceeds its estimated life, the

    investments net present value will be negative. If the payback period exceeds the assets life,

    the total cash flows generated by the investment will be less than the initial cost of the

    investment. Thus, the discounted present value of those cash flows must also be less than the

    initial cost of the investment, making its net present value negative.

    If an investment proposal has a net present value of zero, the expected rate of return is equal to

    the discount rate.

    Factors to consider in establishing a minimum required return on an investment proposal may

    include (1) the companys cost of capital, (2) the relative risk of the investment, (3) returns

    associated with alternative investment proposals, (4) the expected life of the investment, (5)

    the investments impact on keeping the company competitive, (6) how quickly the technology

    associated with the investment is changing, and (7) nonfinancial considerations such as ethical

    and legal issues.

    An investments contribution to income is not the same as its incremental cash flow because

    income is not defined as net cash flow. In an accrual-based accounting system, revenues are

    recognized when earned, not when cash is received. In addition, expenses are recognized when

    incurred, not when cash is disbursed.

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    15.

    16.

    17.

    18.

    19.

    20.

    One way to ensure that employee estimates of the costs and benefits of capital investments are

    not overly optimistic or pessimistic is to implement a system for auditing capital budget

    decisions. With an audit system in place, employees will be aware that their estimates will be

    checked against actual results, and any biases discovered. Another step firms can take is to use

    routing forms, where several high-level managers must sign off on a capital expenditure. Each

    manager then has the opportunity to question or verify the estimates. Employees will be less

    likely to bias estimates if they know they will be scrutinized by several managers. Finally, a

    firm may employ a neutral third party to provide a second set of estimates. If there are large

    discrepancies between the two estimates, further investigation can be undertaken.

    If a company is replacing an asset, the first income tax consequence to be considered is

    whether the old asset will be sold at a gain or a loss (a loss is most likely). A loss can be

    immediately deducted on the tax return instead of deducting it over the remaining life of the

    asset. Income taxes will also be affected by a difference in operating expenses and deductions

    for depreciation due to the new asset.

    A manager prefers the investment opportunity that has the lowest risk, the shortest paybackperiod, and the highest rate of return.

    The discount rate is equivalent to the rate of return required by an investor. This is important

    because an investor wants a project to cost less than the present value of its future cash flows.

    In order for this to be accomplished, the expected rate of return exceeds the required rate of

    return.

    Some capital investment proposals which may favor nonfinancial factors include a pollution

    control systems, new factory lighting, an employee health club, and an employee child care

    facility. When deciding whether to undertake any of these projects, many nonfinancial

    considerations come into play such as environmental concern, employee morale, flexibility,

    better working conditions, etc.

    Employees are going to be affected by any capital budgeting decisions a firm makes.

    Therefore, employees who make estimates regarding proposals may inflate or deflate

    estimates based on how the investment would affect the employee. Also, estimates come from

    a variety of sources and there is always possibility of error.

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    B. Ex. 26.1 The payback period is computed as follows:

    Amount Invested

    Annual Net Cash Flow

    B. Ex. 26.2 Proposal 1:

    Average investment = (Original cost + salvage value) 2

    ($115,000 + $11,000) 2 = $63,000

    ROI = (Average estimated net income average investment)

    $13,000 $63,000 = 20.6%

    Proposal 2:

    Average investment = (Original cost + salvage value) 2

    ($93,000 + $5,000) 2 = $49,000

    ROI = (Average estimated net income average investment)

    $10,500 $49,000 = 21.4%

    B. Ex. 26.3

    B. Ex. 26.4 Present value of expected annual cash flows ($19,000 4.111) 78,109$

    Present value of proceeds from disposal ($2,000 .507) 1,014

    Total present value of investments future cash flows 79,123

    Cost of investment (56,000)

    Net present value of proposed investment 23,123$

    B. Ex. 26.5 Amount to be invested $45,650

    Est. annual net cash flows $11,000

    B. Ex. 26.6

    $100,000

    $10,000 + $5,000

    SOLUTIONS TO BRIEF EXERCISES

    = = 4.15 years

    Replacement equipment is typically among the easiest for which to estimate cash

    flows primarily because the company has experience with similar types of

    equipment. Thus, replacing a fleet of trucks, where 20% of the fleet is replaced

    each year so that over a five year period all trucks have been replaced, is the type

    of investment that is easy to estimate cash flows.

    = =or 6 years 8 months.

    6 2/3 years

    If the investment proposal has a positive net present value of $20 when an 8%

    discount rate is used, its actual rate of return must be slightly above 8%. Because

    its net present value is a negative $2,000 when a 10% discount rate is used, we

    may conclude that the investments actual rate of return is less than 10%, and

    very close to 8%.

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    B. Ex. 26.7

    B. Ex. 26.8

    B. Ex. 26.9 Present value of expected annual cash savings ( X 3.791) = ???

    Present value of proceeds from disposal ($150,000 .621) = 93,150$

    Total Present Value of investments future cash flows 350,000$

    Cost of investment 350,000$

    Net present value of proposed investment 0

    Thus, the expected annual cash savings:

    X = ($350,000 - $93,150) 3.791 = $67,753

    B. Ex. 26.10

    If the initial outlay for the project is $125,000 and the net present value of the

    future cash flows is $120,000, then the present value (based on the 12% required

    rate of return) of the salvage value must be equal to at least $5,000. The salvage

    value is $10,000 in 10 years. The discount rate from the table is .322. Thus the

    present value of $10,000 at 12% over 10 years is $3,220. This is below the $5,000

    needed to have a net present value of 0 for the project. Thus the projects rate of

    return must be below 12%.

    The net present value cash flows could be optimistic because the outside salesperson was optimistic about the value added of the new equipment and Ron was

    optimistic about the new equipment. Ron obviously likes more satisfied

    employees. However, how that satisfaction can be translated into higher cash

    flows is uncertain.

    Sams should also consider the potential cannibalization of in-store sales, the

    possible additional advertising that is available from on-line activities, the

    potential to reach a national customer base, the need for distribution services,

    the need for return services, quality issues when shipping is not under Sam's

    control, etc. Students will have many answers.

    Alternatively, new technology is inherently difficult to estimate. For example,

    when VCRs, DVD players, or I-Pods were first introduced to the market, the

    prices were set fairly high because manufacturers could not estimate demand. As

    demand grew and as the company moved further down its learning curve and

    achieved economies of scale, then prices fell. Estimating demand for new

    technologies and products is extremely difficult. The net present value of

    investment in R&D is very difficult to estimate. The nonfinancial characteristics

    that differ are mostly about uncertainty.

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    SOLUTIONS TO EXERCISES

    Ex. 26.1 a.

    b.

    c.

    d.

    e.

    f.

    g.

    h.

    i.

    Ex. 26.2 a.

    $27,000

    $6,000*

    b.

    Year 1

    Year 2

    Year 3

    Year 4

    Year 5

    Year 6

    c. Based strictly on payback periods, the Toledo Tools machine is more attractive

    because its cost will be recovered one year sooner than the cost of the Akron

    Industries machine. However, the payback period should never be the only

    factor used to evaluate an investment decision because it ignores the

    profitability of an investment over its total life, it ignores the discounted

    present values of the investments future cash flows, and it ignores important

    nonfinancial considerations.

    If the Akron Industries machine has a payback period of 66 months (or 5.5

    years), its cost can be computed as follows:

    = 5.5 years

    $26,000 - $20,000 = $6,000

    27,000 - 21,000 = 6,000

    32,000 - 26,000 = 6,000

    35,000 - 29,000 = 6,000

    34,000 - 28,000 = 6,000

    Incremental analysis

    Sunk cost

    Capital budgeting

    Return on average investment

    Salvage value

    The payback period for the Toledo Tools machine is computed as follows:

    Estimated Annual Net Cash $6,000*

    Payback period

    None (This statement describes the amount to be subtracted from an assets

    initial cost in determining its net present value.)

    Present value

    Discount rate

    Amount to Be Invested

    = = 4.5 yearsEstimated Annual Net Cash

    33,000 - 27,000 = 6,000

    Cost = $6,000 5.5 years = $33,000

    *The estimated annual net cash flow of both investments:

    Amount to Be Invested=

    Cost

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    Ex. 26.3

    Original Cost + Salvage

    2Average Investment =

    = 20%

    Average Investment = $3,400 20% = $17,000

    Thus, the estimated salvage value of I nvestment Cis:

    = $25,000

    = 25%$6,000

    $24,000

    I nvestment B

    Thus, the average estimated net income of I nvestment Bis:

    =Average Investment

    Salvage Value = ($17,000 2) $25,000 = $9,000

    $25,000 + $ ?

    2Average Investment =

    Average Estimated Net Income = 32% $25,000 = $8,000

    I nvestment C

    The average investment of I nvestment Cis:

    Average Estimated Net Income = 3400Average Investment $ ?

    $25,000= 32%

    Average Estimated Net Income=

    Average Investment =$45,000 + $5,000

    2

    Average Investment

    $ ?

    Original Cost + Salvage

    2

    The missing data for each investment proposal are solved for as follows:

    I nvestment A

    Average Investment =Original Cost + Salvage

    2

    Average Investment =

    (Continued on the following page)

    Thus, the return on average investment of I nvestment A is:

    = = $24,000Average Investment$40,000 + $8,000

    2

    Average Estimated Net Income

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    Ex. 26.4 a.

    b.

    c.d.

    Ex. 26.5

    (Continued on the following page)

    I nvestment A

    $10,000 .061 = $610

    $15,000 5.019 = $75,285

    ($10,000 3.352) + ($12,000 .497) = $33,520 + $5,964 = $39,484There are several ways to approach this problem. Shown below is the

    of $20,000 received annually for 5 years plus the present value of

    $10,000 received annually for the first 3 years:

    Net present value (given as zero)

    Thus, original cost of I nvestment A is:

    Present value of annual net cash flows discounted at 12% for 10 years

    ($35,000 - $ ?) 5.650 (from Exhibit 26.4)

    ($16,000 - $6,000) 6.145 (from Exhibit 26.4)

    Less: Investment cost

    =2

    Thus, the original investment cost of I nvestment Dis:

    Original Cost + Salvage Value

    I nvestment B

    = $20,000

    The missing information for each investment is solved for as follows:

    Present value of annual net cash flows discounted at 10% for 10 years

    Less: Investment cost

    Net present value (given as zero)

    Average Investment

    Salvage Value = ($20,000 2) - $4,000 = $36,000

    Average Investment

    ($20,000 3.352) + ($10,000 2.283) = $67,040 + $22,830 = $89,870

    Alternatively, the student could determine the present value of $3

    annually for 3 years ($68,490) and then add the present value of $20,0

    the end of the fourth year ($11,440) and the present value of an

    received at the end of the fifth year ($9,940).

    2=

    $ ? + $4,000

    Average Investment = $3,000 15% = $20,000

    I nvestment D

    The average investment of I nvestment Dis:

    Average Estimated Net Income=

    $ ?= 15%

    Average Investment

    $3,000

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    $ 61,450

    ?

    $ 0

    $ 61,450

    $ ?

    141,250

    $ 0

    present value

    he additional

    ,000 received

    00 received at

    other $20,000

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    Ex. 26.6 $300,000

    $325,000 - $225,000

    b.

    $25,000

    $300,000 2

    c.

    Amount to Be Invested

    Annual Net Cash Flow=

    Less: Amount to be invested

    Net present value of proposal

    Net present value of proposal, discounted at an annual rate of 12%:

    Total present value of annual net cash flows

    ($325,000 - $225,000) 3.037

    Average Investment= = 16.7%

    Return on average investment:

    Average Net Income

    Given a net present value of zero, we can conclude that the discounted present value o

    cash flows associated with I nvestment Bmust equal the investments original cost of $

    Present value of annual net cash flows discounted at ?% for 10 years

    ($19,000 - $7,000) ?%

    Less: Investment cost

    I nvestment C

    Thus, the annual cash outflows associated with the investment can be computed as foll

    ($35,000 - Cash Outflows) 5.650 = $141,250

    ($35,000 5.650) - (5.650 Cash Outflows) = $141,250

    Given a net present value of zero, we can conclude that the discounted present value o

    cash flows associated with I nvestment C must equal the investments original cost of $

    Thus, the discount rate associated with the investment that yields a net present value

    be computed as follows:

    Net present value (given as zero)

    ($19,000 - $7,000) PV Factor = $88,320

    $12,000 PV Factor = $88,320

    $197,750 - (5.650 Cash Outflows) = $141,250

    Cash Outflows = $56,500 5.650 = $10,000

    $197,750 - $141,250 = (5.650 Cash Outflows)

    $56,500 = (5.650 Cash Outflows)

    a.Payback

    Period=

    PV Factor = $88,320 $12,000 = 7.36

    In Exhibit 26-4, we find that the factor 7.36 is associated with a discount rate of 6%. T

    discount rate yielding a net present value of zero for I nvestment Cis 6%.

    The McGraw-Hill Companies, Inc., 2010

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    $ ?

    88,320

    $ 0

    $ 303,700

    300,000

    $ 3,700

    the future

    141,250.

    ows:

    the future

    8,320.

    f zero can

    hus, the

    = 3 years

    The McGraw-Hill Companies, Inc., 2010

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    Ex. 26.7 a.

    $530,000

    $200,000

    b.

    $ 517,800

    24,100

    $ 541,900

    530,000

    $ 11,900

    c.

    Ex. 26.8 a. $300,000b. 3 years

    c. 16 2/3%

    d. $911,100

    e. $11,100

    Ex. 26.9 a.

    [$911,100 (part d) - $900,000 investment]

    This is a very complex question with no single correct answer. If all division

    managers commonly overstate cash flow projections in order to obtain funding

    for their proposals, it certainly would be tempting for a new manager to do so

    also. However, to blatantly lie about projections is an unethical practice, and

    such behavior should be avoided. If you were to make your projections as

    objective as possible, and support all of your assumptions with well-

    documented evidence of their reliability, you might actually have more leverage

    than a competing division manager who made inflated projections without

    documented support.

    Less: Original cost of investment

    Net present value

    There are several nonfinancial issues that Northwest Records should consider.

    First, musical tastes often change very quickly. As such, an estimate that thegrunge sound will remain popular for four years is only a speculative guess.

    Second, even if the grunge sound remains popular, there is no guarantee that

    Seattle Sound will be able to attract the best talent. Finally, the most valuable

    asset that Seattle Sound possesses is its management team. This team is

    ultimately responsible for signing contracts and making deals with big-name

    grunge bands. It is very important for Northwest Records to establish a legal

    clause that forbids Seattle Sound employees from leaving and establishing their

    own competing companies.

    [$300,000 cash flow (part a) 3.037] (from Exhibit 26.4)

    ($975,000 receipts - $675,000 cash expenses)[$900,000 investment $300,000 cash flow (part a)]

    [$75,000 income ($900,000 2)]

    years discounted at a rate of 20% is $200,000 2.589

    Present value of the investments $50,000 salvage value at

    the end of year 4, discounted at a rate of 20% is

    Total present value of all cash flows

    Present value of net cash flows of $200,000 per year for 4

    $50,000 .482 (from Exhibit 26.3)

    (from Exhibit 26.4)

    The payback period of the Seattle Sound investment is computed as follows:

    = = 2.65 years

    The net present value of the Seattle Sound investment is computed as follows:

    Amount to Be Invested

    Estimated Annual Net Cash

    The McGraw-Hill Companies, Inc., 2010

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    b.

    Ex. 26.10

    a. Net present value:

    Calculate depreciation expense under each alternative:

    New machine ($120,000 5 years) 24,000$

    Old machine ($100,000 5 years) 20,000

    Increase in depreciation of new machine 4,000$

    Calculate the incremental increase in annual income taxes resultingfrom the purchase of the new machine:

    Cost savings of new machine 34,000$

    Less: Increase in depreciation (see above) 4,000

    Increase in pretax income 30,000$

    Income tax rate 40%

    Increase in income taxes 12,000$

    Calculate the incremental increase in annual cash flow resulting from

    the purchase of the new machine:

    Cost of savings of new machine 34,000$

    Less: Increase in income taxes (see above) 12,000

    Increase in annual cash flow 22,000$

    Calculate the tax savings resulting from the loss on the sale of the

    old machine:

    Book value of old machine 100,000$

    Proceeds from sale 20,000

    Loss on sale of disposal 80,000$

    Income tax rate 40%

    Tax savings resulting from loss on disposal 32,000$

    The net present value of the new machine can now be computed as follows:

    Present value of incremental annual cash flows discounted at 12%

    for five years is $22,000 3.605 (from Exhibit 26.4) 79,310$

    Present value of tax savings from loss on disposal of the old machine

    discounted at 12% for 1 year is $32,000 .893 (from Exhibit 26.3) 28,576

    Present value of proceeds from sale of old equipment 20,000

    Total present value 127,886$

    Less: Cost of new machine 120,000

    Net present value 7,886$

    There are numerous controls that might be implemented to discourage the overstatement of

    capital budgeting estimates. First, whenever possible, assumptions and projections should be

    well documented with objective support. Second, managers who receive funding for their

    proposals should be required to submit post-implementation reports on the actual success of

    their projects. Managers should be evaluated, in part, based upon the extent to which a

    division achieves budget projectionsincluding capital budgeting estimates.

    The McGraw-Hill Companies, Inc., 2010

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    Ex. 26.11 a. b.

    $ 80,000 $ 20,000

    70,000 70,000

    $ 10,000 $ (50,000)

    $ (4,000)

    $ 20,000

    $ 76,000

    $ 40,000

    Ex. 26.12

    $ 80,000

    32,000

    $ 48,000

    $ 14,000

    $ 62,000

    Ex. 26.13 a. NPV = ($300,000 6.71) - $2,000,000 = $13,000.

    b.

    c.

    Net Inflow

    Cash effects of depreciation

    ($35,000 .40)

    Tax Savings at 40%

    Net cash effect of sale:

    ($80,000 - $4,000)

    The NPV is positive indicating they should purchase the MRI.

    The hospital may have some commitment to the community andcommunity considerations are always important in hospital

    investments. In addition, the number of MRIs already in operation in

    the surrounding area, the financing, whether there is newer technology

    on the horizon, whether it has the skilled labor to operate the MRI, etc.

    are nonfinancial considerations.

    Cash flow from operations:

    ($150,000 - $70,000)Tax outflow at 40%

    Total after tax effect on cash

    (excluding depreciation)

    c.

    b. Perhaps the most important nonfinancial consideration for EnterTech

    to consider is the future demand for portable CD players. If demand

    for the product is less than five years, the investment in the new

    machine is far less attractive. Management should also explore the

    possibility of finding an alternative use for the machine once portable

    CD players are no longer manufactured. Finally, it should evaluate any

    alternative investment opportunities the company may have.

    Because the decision of whether or not to invest in the new machine is

    highly dependent on the cost savings estimate, EnterTech may want to

    obtain a second estimate from a neutral third party. Estimates could

    be obtained from sources such as consulting firms, engineers from an

    outside division (that would not have a stake in the investment), or the

    finance department.

    ($20,000 + $20,000)

    Cash proceeds of sale

    Book value:[$175,000 - 3 (35,000)]

    Gain (Loss) on Sale

    Taxes Paid at 40%

    The McGraw-Hill Companies, Inc., 2010

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    Ex. 26.14

    5% rate 5% NPV 8% rate 8% NPV

    Year 1 0.952 $142,800 0.926 $138,900

    Year 2 0.907 199,540 0.857 188,540

    Year 3 0.864 216,000 0.794 198,500

    Year 4 0.823 144,025 0.735 128,625

    Total NPV $702,365 $654,565

    Ex. 26.15 a.

    b.

    c.

    $ 91 million

    29 million

    $ 120 million

    $ 120 million

    42 million

    $ 78 million

    d.

    $175,000

    Home Depot closed 20 of its Expo stores and two Home Depot Supply stores in

    2005.

    Amount

    $150,000

    $220,000

    $250,000

    Home Depot charged a total of $91 million to SG&A related to the disposition of

    the Expo stores. Of this total, $78 million was for asset impairment charges and

    $13 million was for lease obligations. In addition, Home Depot incurred $29

    million of Cost of Sales expense related to inventory markdowns in the Expo

    Stores.

    The tax-related impact of the charges to SG&A and inventory markdowns on

    2005 annual net income are computed as follows:

    Home Depot mentions that customers affected by the closings of the 20 stores

    are being served by other existing Home Depot and Expo stores. Other

    nonfinancial factors include the impact on suppliers, employees and

    communities that the stores supported. Corporate reputation can be harmed by

    large-scale or capricious store closings.

    Decrease in annual pretax operating income from

    impairment

    Less: decrease in income taxes (at 35%)

    Net decrease in annual net income from impairment

    Increase in SG&A

    Increase in Cost of Sales .

    Total increase in expenses

    The McGraw-Hill Companies, Inc., 2010

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    SOLUTIONS TO PROBLEMS SET A

    30 Minutes, Strong PROBLEM 26.1ATOYING WITH NATURE

    a.

    Estimated sales (80,000 units @ $6) 480,000$

    Less estimated incremental costs:

    Variable manufacturing costs (80,000 units @ $2.50) 200,000$

    Fixed manufacturing costs (except depreciation) 45,000

    Depreciation expense [($350,000 - $20,000) 3] 110,000

    Selling and general expenses 55,000 410,000

    Income before income taxes 70,000$

    Income taxes expense ($70,000 40%) 28,000

    Estimated increase in annual net income 42,000$

    b. Computation of annual net cash flow:

    Cash receipts 480,000$

    Less cash outlays:

    Variable manufacturing costs 200,000$

    Fixed costs (other than depreciation) 45,000

    Selling and general expenses 55,000

    Income taxes expense 28,000 328,000

    Annual net cash flow from sale of new product 152,000$

    c. (1)$350,000

    $152,000

    (2)

    (3) Net present value of project, discounted at 15%:

    Total present value of annual net cash flows ($152,000 2.283) 347,016$Present value of salvage, due in three years ($20,000 .658) 13,160

    Total present value 360,176$

    Less: Amount to be invested 350,000

    Net present value of this project 10,176$

    2.3 years

    = 22.7%

    Amount Invested

    Annual Net Cash Flow= =

    TOYING WITH NATURE

    Schedule of Estimated Net Income

    (350,000 + $20,000) 2

    42,000

    Return on average investment:

    Annual Net Income

    Average Investment=

    Payback period:

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.2AMICRO TECHNOLOGY

    a.

    (1)

    (2)

    (3) Net present value, discounted at 12%:

    Total present value of eight annual net cash flows ($75,000 4.968) 372,600$

    Less: Amount to be invested 360,000

    Net present value of proposal 12,600$

    (1)

    (2)

    (3) Net present value, discounted at 12%:

    Total present value of seven annual net cash flows ($76,000 4.564) 346,864$

    Present value of salvage value due in seven years ($14,000 .452) 6,328

    Total present value 353,192$

    Less: Amount to be invested 350,000

    Net present value of proposal 3,192$

    b.

    25 Minutes, Medium

    Proposal 2

    $30,000 ($360,000 2)$30,000 $180,000 = 16.7%

    Proposal 1

    Payback period:

    $360,000 $75,000 = 4.8 yearsReturn on average investment:

    $28,000 $182,000 = 15.4%

    From the information above, Proposal 1 appears to be the better investment. Although

    Proposal 2has a slightly shorter payback period, Proposal 1is more profitable, as indicated

    by the higher return on average investment and greater net present value.

    $350,000 $76,000 = 4.6 years

    Payback period:

    Return on average investment:

    $28,000 [($350,000 + $14,000) 2]

    The McGraw-Hill Companies, Inc., 2010

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    25 Minutes, Medium PROBLEM 26.3A

    BANNER EQUIPMENT CO.

    a.

    (1)

    (2)

    (3) Net present value, discounted at 12%:

    Total present value of five annual net cash flows ($60,000 3.605) 216,300$

    Present value of salvage value due in five years ($10,000 .567) 5,670

    Total present value 221,970$

    Less: Amount to be invested 220,000Net present value of proposal 1,970$

    (1)

    (2)

    (3) Net present value, discounted at 12%:

    Total present value of six annual net cash flows ($60,000 4.111) 246,660$

    Less: Amount to be invested 240,000

    Net present value of proposal 6,660$

    b.

    Proposal A

    Payback period:

    $220,000 $60,000 = 3.7 yearsReturn on average investment:

    Return on average investment:

    $20,000 ($240,000 2)

    $20,000 $120,000 = 16.7%

    From the information above, Proposal Bappears to be the better investment. Although

    Proposal A has a shorter payback period, Proposal Bis more profitable, as indicated by the

    higher return on average investment and greater net present value.

    $240,000 $60,000 = 4 years

    $18,000 [($220,000 + $10,000) 2]

    $18,000 $115,000 = 15.7%

    Proposal B

    Payback period:

    The McGraw-Hill Companies, Inc., 2010

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    25 Minutes, Medium PROBLEM 26.4MARENGO

    a.

    (1)

    (2)

    (3) Net present value, discounted at 15%:

    Total present value of 10 annual net cash flows ($80,000 5.019) 401,520$

    Present value of salvage value due in 10 years ($20,000 .247) 4,940Total present value 406,460$

    Less: Amount to be invested 400,000

    Net present value of proposal 6,460$

    (1)

    (2)

    (3) Net present value, discounted at 15%:

    Total present value of 10 annual net cash flows ($95,000 5.019) 476,805$Present value of salvage value due in 10 years ($50,000 .247) 12,350

    Total present value 489,155$

    Less: Amount to be invested 500,000Net present value of proposal (10,845)$

    b. Based upon the above analysis, Proposal A is the only acceptable investment of the two

    proposals under consideration. Both proposals have acceptable payback periods (less than

    the useful life of fixtures) and acceptable rates of return on investment (higher than

    managements required 15%). However, the negative net present value of Proposal B

    dictates rejection of this proposal as a possible investment. The positive net present value ofProposal A indicates that this option is the more profitable alternative.

    Note to instructor:The net present value calculation is the best of the three capital budgeting

    models because it is based on cash flows and because it considers profitability and the time

    value of money. Each of the other two simpler models ignores two of these factors.

    Proposal B

    Payback period:

    $500,000 $95,000 = 5.3 years

    Return on average investment:

    ($95,000 - $45,000) [($500,000 + $50,000) 2]

    $50,000 $275,000 = 18.2%

    ($80,000 - $38,000) [($400,000 + $20,000) 2]

    $42,000 $210,000 = 20%

    Proposal A

    Payback period:

    $400,000 $80,000 = 5.0 years

    Return on average investment:

    The McGraw-Hill Companies, Inc., 2010

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    25 Minutes, Medium PROBLEM 26.5AV.S. YOGURT

    a.

    (1)

    (2)

    (3) Net present value, discounted at 15%:

    Total present value of seven annual net cash flows ($750,000 4.160) 3,120,000$

    Less: Amount to be invested 3,150,000

    Net present value of proposal (30,000)$

    (1)

    (2)

    (3) Net present value, discounted at 15%:

    Total present value of seven annual net cash flows ($570,000 4.160) 2,371,200$

    Present value of salvage due in seven years ($400,000 .376) 150,400

    Total present value 2,521,600$

    Less: Amount to be invested 2,500,000

    Net present value of proposal 21,600$

    b.

    ($750,000 - $450,000) ($3,150,000 2)

    $300,000 $1,575,000 = 19.0%

    Return on average investment:

    ($570,000 - $300,000) [($2,500,000 + $400,000) 2]

    Proposal A

    Payback period:

    $3,150,000 $750,000 = 4.2 yearsReturn on average investment:

    Note to instructor: The net present value calculation is the best of the three capital budgeting

    models because it is based on cash flows and because it considers profitability and the time value

    of money. Each of the other two simpler models ignores two of these factors.

    Proposal B

    Payback period:

    $2,500,000 $570,000 = 4.4 years

    $270,000 $1,450,000 = 18.6%

    Based on the above analysis, Proposal B is the only acceptable investment of the two

    proposals under consideration. Although Proposal A has a slightly shorter payback period

    and a higher return on average investment, the negative net present value of this proposal

    dictates rejection of Proposal A. The positive net present value of Proposal B, accompanied

    by an acceptable payback period and return on average investment, indicates that Proposal

    B is the more profitable investment strategy.

    The McGraw-Hill Companies, Inc., 2010

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    30 Minutes, Strong PROBLEM 26.6AROTHMORE APPLIANCE COMPANY

    a.

    Estimated sales (10,000 units @ $35) 350,000$Less estimated incremental costs:

    Variable manufacturing costs (10,000 units @ $15) 150,000$

    Fixed manufacturing costs (except depreciation) 40,000

    Depreciation expense ($240,000 4) 60,000

    Selling and general expenses 50,000 300,000

    Income before income taxes 50,000$

    Income taxes expense ($50,000 40%) 20,000

    Net income 30,000$

    b. Computation of annual net cash flow:

    Cash receipts 350,000$

    Less cash outlays:Variable manufacturing costs 150,000$

    Fixed costs (other than depreciation) 40,000

    Selling and general expenses 50,000

    Income taxes expense 20,000 260,000

    Annual net cash flow 90,000$

    c. (1)

    $240,000$90,000

    (2)

    $30,000

    $240,000 2

    (3) Net present value of project, discounted at 15%:

    Total present value of annual cash flows ($90,000 2.855) 256,950$

    Less: Amount to be invested 240,000Net present value of project 16,950$

    Annual Net Income

    Average Investment

    =

    =

    ROTHMORE APPLIANCE COMPANY

    Schedule of Estimated Net Income

    = 2.7 years

    = 25%

    Payback period:

    Amount InvestedAnnual Net Cash Flow

    Return on average investment:

    The McGraw-Hill Companies, Inc., 2010

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    40 Minutes, Strong PROBLD

    a.

    $1,250,000

    $243,750

    The supporting calculations for the above payback figure are:

    Incremental annual revenue of investment

    Less: Incremental annual expenses of investment

    Incremental annual income of investment

    Add: Depreciation expense

    Incremental annual cash flow of investment

    b.

    $100,000

    $675,000

    $1,250,000 + $100,000

    2

    =

    =

    Average Estimated Net Income

    *Depreciation expense: [$1,250,000 - $100,000 ] 8 years = $143,750

    Return on average investment:

    Average Investment

    Average Investment

    Original Cost + Salvage Value

    2

    Average Investment= = 14.81%

    Payback period:

    Amount to Be Invested

    Estimated Annual Net Cash Flow

    = = 5.13 years

    Thus, the MRIs return on average investment is:

    = $675,000

    The McGraw-Hill Companies, Inc., 2010

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    M 26.7AOCTORS

    800,000$

    700,000

    100,000$

    143,750*

    243,750$

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.7ADOCTORS (concluded)

    c. Net present value:The discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 12% for 8 years is

    $243,750 4.968 (from Exhibit 26.4) 1,210,950$

    The discounted present value of the investments salvage value

    discounted at 12% for 8 years is $100,000 .404 (from Exhibit 26.3) 40,400

    Discounted present value of all cash flows 1,251,350$

    Less: Cost of investment 1,250,000

    Net present value 1,350$

    As shown above, the net present value of the MRI investment is only

    $1,350. Thus, we may conclude that the investments actual rate of

    return is only slightly greater than 12%.

    d. Some of the nonfinancial factors that the doctors should consider include (1) the pace at

    which MRI technology is changing, (2) changes in legislation pertaining to government

    funding of medical benefits, (3) legal considerations related to the formation and operation

    of a corporation, (4) their ethical responsibility to provide quality health care to rural areas,

    (5) alternative investment opportunities, and (6) their eligibility to acquire grants and other

    sources of external financing for this activity.

    The McGraw-Hill Companies, Inc., 2010

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    50 Minutes, Strong PROBLEM 26.8AJEFFERSON MOUNTAIN

    a.

    $125,000$31,250

    The supporting calculations are:

    Incremental annual revenue of investment 40,000$

    Less: Incremental annual expenses of investment 15,000

    Incremental annual income of investment 25,000$

    Add: Depreciation expense 6,250*

    Incremental annual cash flow of investment 31,250$

    $180,000

    $40,000

    The supporting calculations for the payback period figure are:

    Incremental annual revenue of investment 54,000$

    Less: Incremental annual expenses of investment 19,000

    Incremental annual income of investment 35,000$

    Add: Depreciation expense 5,000*

    Incremental annual cash flow of investment 40,000$

    *Depreciation expense: $180,000 36 years = $5,000

    Chair L ift

    *Depreciation expense: $125,000 20 years = $6,250

    Amount to Be Invested

    Estimated Annual Net Cash Flow= = 4.5 years

    Payback period:

    Snow-Making Equipment

    Amount to Be InvestedEstimated Annual Net Cash Flow

    = 4 years=

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.8AJEFFERSON MOUNTAIN (continued)

    b.

    $125,000 + $0

    2

    $25,000

    $62,500

    $35,000

    $90,000

    c. Net present value:

    Snow-Making Equipment

    The discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 20% for 20 years is

    $31,250 4.870 (from Exhibit 26.4) 152,188$

    Less: Cost of investment 125,000

    Net present value 27,188$

    Chair LiftThe discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 20% for 36 years is

    $40,000 4.993 (from Exhibit 26.4) 199,720$

    Less: Cost of investment 180,000

    Net present value 19,720$

    Return on average investment:

    Snow-Making Equipment

    Original Cost + Salvage Value

    2

    Average

    Investment=

    Average

    Investment

    = 40%Average Estimated Net Income

    =Average Investment

    Thus, the return on average investment is:

    Original Cost + Salvage Value

    2

    $180,000 + $0

    2= $90,000

    = = $62,500

    Thus, the return on average investment is:

    Average Estimated Net Income= = 38.89%

    Average Investment

    Chair L ift

    Average

    Investment

    Average

    Investment

    =

    =

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.8AJEFFERSON MOUNTAIN (concluded)

    d.

    e.

    The management of Jefferson Mountain must decide which investment opportunity will

    best serve its customers. Thus, it must try to determine if adequate snow coverage with long

    lift lines is better than short lift lines with limited snow coverage. A marketing study could

    be conducted to gain a better understanding of customer expectations. In addition,management should also consider the condition of the resorts existing chair lifts, recent

    weather patterns, and alternative investment opportunities.

    It is likely that management will elect to invest in snow-making equipment. This investment

    has the shortest payback period, a greater return on average investment, and a higher net

    present value. Skiers are more likely to tolerate long lift lines if snow conditions are good

    than short lift lines with poor snow conditions. Once the equipment has been installed,

    management can begin to make plans regarding the future investment in a high-speed chair

    lift.

    The McGraw-Hill Companies, Inc., 2010

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    45 Minutes, Strong PROBLEM 26.9ASONIC, INC.

    a.

    $300,000

    $100,000

    The supporting calculations for the above payback figure are:

    Incremental annual revenue of investment 300,000$

    Less: Incremental annual expenses of investment 250,000

    Incremental annual income of investment 50,000$

    Add: Depreciation expense 50,000*

    Incremental annual cash flow of investment 100,000$

    $240,000

    $70,000

    The supporting calculations for the payback figure are:

    Incremental annual revenue of investment 160,000$

    Less: Incremental annual expenses of investment 130,000

    Incremental annual income of investment 30,000$

    Add: Depreciation expense 40,000*

    Incremental annual cash flow of investment 70,000$

    *Depreciation expense: $240,000 6 years = $40,000

    Payback period:

    Computer Chip Equipment

    Amount to Be Invested

    Estimated Annual Net Cash Flow= 3 years=

    Software Bank I nstallation

    *Depreciation expense: $300,000 6 years = $50,000

    Amount to Be Invested

    Estimated Annual Net Cash Flow= = 3.4 years

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.9ASONIC, INC. (continued)

    b.

    $300,000 + $0

    2

    $50,000

    $150,000

    $240,000 + $0

    2

    $30,000

    $120,000

    c. Net present value:

    Computer Chip Equipment

    The discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 15% for 6 years is

    $100,000 3.784 (from Exhibit 26.4) 378,400$

    Less: Cost of investment 300,000

    Net present value 78,400$

    Software Bank Instal lat ion

    The discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 15% for 6 years is

    $70,000 3.784 (from Exhibit 26.4) 264,880$

    Less: Cost of investment 240,000

    Net present value 24,880$

    Average Estimated Net Income=

    Average Investment= 25%

    Original Cost + Salvage Value

    2

    = $120,000

    Thus, the return on average investment is:

    Average

    Investment

    Average

    Investment

    =

    =

    = = $150,000Average

    Investment

    Software Bank I nstallation

    Average Estimated Net Income=

    Average Investment

    Thus, the return on average investment is:

    = 33.33%

    Return on average investment:

    Computer Chip Equipment

    Original Cost + Salvage Value

    2

    Average

    Investment=

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.9ASONIC, INC. (concluded)

    d.

    e.

    f.

    There are several nonfinancial considerations worth mentioning. First, the company must

    try to determine which medium the customers are most likely to use. Second, it must try to

    determine future industry trends regarding software distribution. Third, it must evaluate

    which medium provides the most protection against piracy and theft. Fourth, it mustconsider the risk of having their software bank installation infected with a computer virus.

    Finally, the company should consider whether other investment opportunities are available.

    If Sonic invests in the software bank, there will no longer be a need for employees to load

    programs onto disks of any type, process orders, or package and ship program disks. If the

    employees and managers who currently perform these tasks believe they may be terminated

    if the investment is made, they will likely be biased against it and underestimate its benefits.

    It is likely that management will elect to invest in the computer chip. In addition to being an

    accepted method of software distribution, the investment has the shortest payback period, a

    greater return on average investment, and a higher net present value.

    The McGraw-Hill Companies, Inc., 2010

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    SOLUTIONS TO PROBLEMS SET B

    30 Minutes, Strong PROBLEM 26.1BMONSTER TOYS

    a.

    Estimated sales (100,000 units @ $8) 800,000$Less estimated incremental costs:

    Variable manufacturing costs (100,000 units @ $3.00) 300,000$Fixed manufacturing costs (except depreciation) 60,000Depreciation expense [($400,000 - $10,000) 3] 130,000Selling and general expenses 40,000 530,000

    Income before income taxes 270,000$Income taxes expense ($270,000 30%) 81,000Estimated increase in annual net income 189,000$

    b. Computation of annual net cash flow:Cash receipts 800,000$Less cash outlays:

    Variable manufacturing costs 300,000$Fixed costs (other than depreciation) 60,000Selling and general expenses 40,000Income taxes expense 81,000 481,000

    Annual net cash flow from sale of new product 319,000$

    c. (1)$400,000

    $319,000

    (2)

    (3) Net present value of project, discounted at 12%:

    Total present value of annual net cash flows ($319,000 2.402) 766,238$

    Present value of salvage, due in three years ($10,000 .712) 7,120

    Total present value 773,358$

    Less: Amount to be invested 400,000

    Net present value of this project 373,358$

    = 92.2%

    Return on average investment:

    Annual Net Income

    Average Investment=

    189,000

    ($400,000 + $10,000) 2

    Annual Net Cash Flow= = 1.25 years

    MONSTER TOYSSchedule of Estimated Net Income

    Payback period:Amount Invested

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.2BMACRO TECHNOLOGY

    a.

    (1)

    (2)

    (3) Net present value, discounted at 15%:

    Total present value of ten annual net cash flows ($80,000 5.019) 401,520$

    Less: Amount to be invested 400,000

    Net present value of proposal 1,520$

    (1)

    (2)

    (3) Net present value, discounted at 15%:

    Total present value of eight annual net cash flows ($82,000 4.487) 367,934$

    Present value of salvage value due in eight years ($20,000 .327) 6,540

    Total present value 374,474$

    Less: Amount to be invested 380,000

    Net present value of proposal (5,526)$

    b.

    $37,000 $200,000 = 18.5%

    From the information above, Proposal 1 appears to be the better investment. Although

    Proposal 2has a slightly shorter payback period and a higher return on average investment,

    it also has a negative net present value and consequently it is not getting a 15% return.

    $380,000 $82,000 = 4.6 years

    Payback period:

    Return on average investment:

    $37,000 [($380,000 + $20,000) 2]

    25 Minutes, Medium

    Proposal 2

    $40,000 ($400,000 2)

    $40,000 $200,000 = 20%

    Proposal 1

    Payback period:

    $400,000 $80,000 = 5 yearsReturn on average investment:

    The McGraw-Hill Companies, Inc., 2010

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    25 Minutes, Medium PROBLEM 26.3B

    FLAGG EQUIPMENT CO.a.

    (1)

    (2)

    (3) Net present value, discounted at 15%:

    Total present value of six annual net cash flows ($82,000 3.784) 310,288$

    Present value of salvage value due in six years ($20,000 .432) 8,640

    Total present value 318,928$

    Less: Amount to be invested 260,000

    Net present value of proposal 58,928$

    (1)

    (2)

    (3) Net present value, discounted at 15%:

    Total present value of seven annual net cash flows ($65,000 4.160) 270,400$

    Less: Amount to be invested 280,000

    Net present value of proposal (9,600)$

    b. From the information above, Proposal A appears to be the better investment. Proposal Ahas a shorter payback period and is more profitable, as indicated by the higher return on

    average investment and greater net present value.

    Proposal A

    Payback period:

    $260,000 $82,000 = 3.2 years

    Return on average investment:

    $280,000 $65,000 = 4.3 years

    $42,000 [($260,000 + $20,000) 2]$42,000 $140,000 = 30%

    Proposal B

    Payback period:

    Return on average investment:

    $25,000 ($280,000 2)$25,000 $140,000 = 17.9%

    The McGraw-Hill Companies, Inc., 2010

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    25 Minutes, Medium PROBLEM 26.4BTANGO

    a.

    (1)

    (2)

    (3) Net present value, discounted at 12%:Total present value of 10 annual net cash flows ($75,000 5.650) 423,750$Present value of salvage value due in 10 years ($10,000 .322) 3,220Total present value 426,970$Less: Amount to be invested 250,000Net present value of proposal 176,970$

    (1)

    (2)

    (3) Net present value, discounted at 12%:

    Total present value of 10 annual net cash flows ($50,000 5.650) 282,500$

    Present value of salvage value due in 10 years ($40,000 .322) 12,880

    Total present value 295,380$

    Less: Amount to be invested 300,000

    Net present value of proposal (4,620)$

    b.

    ($75,000 - $24,000) [($250,000 + $10,000) 2]$51,000 $130,000 = 39.2%

    Proposal A

    Payback period:

    $250,000 $75,000 = 3.3 years

    Return on average investment:

    Note to instructor: The net present value calculation is the best of the three capital budgeting

    models because it is based on cash flows and because it considers profitability and the time

    value of money. Each of the other two simpler models ignores two of these factors.

    Based upon the above analysis, Proposal A is the only acceptable investment of the two

    proposals under consideration. Both proposals have acceptable payback periods (less than

    the useful life of fixtures). However, the negative net present value and unacceptable rate

    of return on investment (lower than managements required 12%) of Proposal Bdictates

    rejection of this proposal as a possible investment. The positive net present value and

    acceptable rate of return on investment (higher than managements required 12%) of

    Proposal A indicates that this option is the more profitable alternative.

    Proposal B

    Payback period:

    $300,000 $50,000 = 6.0 years

    Return on average investment:

    ($50,000 - $36,000) [($300,000 + $40,000) 2]

    $14,000 $170,000 = 8.2%

    The McGraw-Hill Companies, Inc., 2010

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    25 Minutes, Medium PROBLEM 26.5BI.C. CREAM

    a.

    (1)

    (2)

    (3) Net present value, discounted at 12%:

    Total present value of eight annual net cash flows ($800,000 4.968) 3,974,400$

    Less: Amount to be invested 4,000,000

    Net present value of proposal (25,600)$

    (1)

    (2)

    (3) Net present value, discounted at 12%:Total present value of eight annual net cash flows ($700,000 4.968) 3,477,600$

    Present value of salvage due in eight years ($200,000 .404) 80,800

    Total present value 3,558,400$

    Less: Amount to be invested 3,000,000

    Net present value of proposal 558,400$

    b.

    Proposal A

    Payback period:

    $4,000,000 $800,000 = 5 years

    Return on average investment:

    ($800,000 - $500,000) ($4,000,000 2)

    $300,000 $2,000,000 = 15%

    Note to instructor: The net present value calculation is the best of the three capital budgeting

    models because it is based on cash flows and because it considers profitability and the time value

    of money. Each of the other two simpler models ignores two of these factors.

    Return on average investment:

    ($700,000 - $350,000) [($3,000,000 + $200,000) 2]

    $350,000 $1,600,000 = 21.9%

    Based on the above analysis, Proposal Bis the only acceptable investment of the two

    proposals under consideration. Although Proposal A has an acceptable payback period and

    return on average investment, the negative net present value of this proposal dictates

    rejection of Proposal A . The positive net present value of Proposal B, accompanied by ashorter payback period and a higher return on average investment, indicates that Proposal B

    is the more profitable investment strategy.

    Proposal B

    Payback period:

    $3,000,000 $700,000 = 4.3 years

    The McGraw-Hill Companies, Inc., 2010

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    30 Minutes, Strong PROBLEM 26.6BCAFIELD APPLIANCE COMPANY

    a.

    Estimated sales (15,000 units @ $40) 600,000$Less estimated incremental costs:

    Variable manufacturing costs (15,000 units @ $18) 270,000$

    Fixed manufacturing costs (except depreciation) 60,000

    Depreciation expense ($300,000 5) 60,000

    Selling and general expenses 75,000 465,000

    Income before income taxes 135,000$

    Income taxes expense ($135,000 30%) 40,500

    Net income 94,500$

    b. Computation of annual net cash flow:

    Cash receipts 600,000$

    Less cash outlays:

    Variable manufacturing costs 270,000$

    Fixed costs (other than depreciation) 60,000

    Selling and general expenses 75,000

    Income taxes expense 40,500 445,500

    Annual net cash flow 154,500$

    c. (1)

    $300,000

    $154,500

    (2)

    $94,500

    $300,000 2

    (3) Net present value of project, discounted at 12%:

    Total present value of annual cash flows ($154,500 3.605) 556,973$Less: Amount to be invested 300,000

    Net present value of project 256,973$

    Average Investment

    = 1.9 years

    = 63%

    =

    =

    Amount Invested

    Annual Net Cash Flow

    Return on average investment:

    CAFIELD APPLIANCE COMPANY

    Schedule of Estimated Net Income

    Payback period:

    Annual Net Income

    The McGraw-Hill Companies, Inc., 2010

    P26.6B

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    40 Minutes, Strong PROBLD

    a.

    $1,500,000

    $244,444

    The supporting calculations for the above payback figure are:

    Incremental annual revenue of investment

    Less: Incremental annual expenses of investment

    Incremental annual income of investment

    Add: Depreciation expense

    Incremental annual cash flow of investment

    b.

    $100,000

    $850,000

    *Depreciation expense: [$1,500,000 - $200,000 ] 9 years = $144,444

    Return on average investment:

    Original Cost + Salvage Value

    2=

    =

    Average Investment

    Average Investment

    Payback period:

    Amount to Be Invested

    Estimated Annual Net Cash Flow

    = = 6.14 years

    $1,500,000 + $200,000

    2

    Average Investment= = 11.76%

    Thus, the MRIs return on average investment is:

    = $850,000

    Average Estimated Net Income

    The McGraw-Hill Companies, Inc., 2010

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    M 26.7BOCTORS

    900,000$

    800,000

    100,000$

    144,444*

    244,444$

    The McGraw-Hill Companies, Inc., 2010

    P26.7B

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    PROBLEM 26.7BDOCTORS (concluded)

    c. Net present value:The discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 15% for 9 years is

    $244,444 4.772 (from Exhibit 26.4) 1,166,487$

    The discounted present value of the investments salvage value

    discounted at 15% for 9 years is $200,000 .284 (from Exhibit 26.3) 56,800

    Discounted present value of all cash flows 1,223,287$

    Less: Cost of investment 1,500,000

    Net present value (276,713)$

    As shown above, the net present value of the MRI investment is negative. Thus,

    we may conclude that the investments actual rate of return is less than 15%.

    d. Some of the nonfinancial factors that the doctors should consider include (1) the pace at

    which MRI technology is changing, (2) changes in legislation pertaining to government

    funding of medical benefits, (3) legal considerations related to the formation and operation

    of a corporation, (4) their ethical responsibility to provide quality health care to rural areas,

    (5) alternative investment opportunities, (6) their eligibility to acquire grants and other

    sources of external financing for this activity, (7) the possibility of increasing fees, and (8)

    including more doctors in the corporation.

    The McGraw-Hill Companies, Inc., 2010

    P26.7B (p.2)

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    50 Minutes, Strong PROBLEM 26.8BMADISON MOUNTAIN

    a.

    $150,000$45,000

    The supporting calculations are:

    Incremental annual revenue of investment 50,000$

    Less: Incremental annual expenses of investment 20,000

    Incremental annual income of investment 30,000$

    Add: Depreciation expense 15,000*

    Incremental annual cash flow of investment 45,000$

    $200,000

    $48,000

    The supporting calculations for the payback period figure are:

    Incremental annual revenue of investment 60,000$

    Less: Incremental annual expenses of investment 22,000

    Incremental annual income of investment 38,000$

    Add: Depreciation expense 10,000*

    Incremental annual cash flow of investment 48,000$

    *Depreciation expense: $200,000 20 years = $10,000

    Payback period:

    Snow-Making Equipment

    Amount to Be InvestedEstimated Annual Net Cash Flow

    = 3 1/3 years=

    Chair L ift

    *Depreciation expense: $150,000 10 years = $15,000

    Amount to Be Invested

    Estimated Annual Net Cash Flow= = 4.17 years

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.8BMADISON MOUNTAIN (continued)

    b.

    $150,000 + $0

    2

    $30,000

    $75,000

    $200,000 + $0

    2

    $38,000

    $100,000

    c. Net present value:

    Snow-Making Equipment

    The discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 20% for 10 years is$45,000 4.192 (from Exhibit 26.4) 188,640$

    Less: Cost of investment 150,000Net present value 38,640$

    Chair Lift

    The discounted present value of the incremental annual cash flowof the investment (see part a) discounted at 20% for 20 years is$48,000 4.870 (from Exhibit 26.4) 233,760$

    Less: Cost of investment 200,000

    Net present value 33,760$

    Average Estimated Net Income=

    Average Investment= 38%

    Original Cost + Salvage Value

    2

    = $100,000

    Thus, the return on average investment is:

    Average

    Investment

    Average

    Investment

    =

    =

    = = $75,000Average

    Investment

    Chair L ift

    Average Estimated Net Income=

    Average Investment

    Thus, the return on average investment is:

    = 40%

    Return on average investment:

    Snow-Making Equipment

    Original Cost + Salvage Value

    2

    Average

    Investment=

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.8BMADISON MOUNTAIN (concluded)

    d.

    e.

    The management of Madison Mountain must decide which investment opportunity will best

    serve its customers. Thus, it must try to determine if adequate snow coverage with long lift

    lines is better than short lift lines with limited snow coverage. A marketing study could be

    conducted to gain a better understanding of customer expectations. In addition, managementshould also consider the condition of the resorts existing chair lifts, recent weather patterns,

    and alternative investment opportunities.

    It is likely that management will elect to invest in snow-making equipment. This investment

    has the shortest payback period, a greater return on average investment, and a higher net

    present value. Skiers are more likely to tolerate long lift lines if snow conditions are good

    than short lift lines with poor snow conditions. Once the equipment has been installed, the

    management can begin to make plans regarding the future investment in a high-speed chair

    lift.

    The McGraw-Hill Companies, Inc., 2010

    P26.8B (p.3)

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    45 Minutes, Strong PROBLEM 26.9BBOOM, INC.

    a.

    $500,000

    $240,000

    The supporting calculations for the above payback figure are:

    Incremental annual revenue of investment 400,000$

    Less: Incremental annual expenses of investment 260,000

    Incremental annual income of investment 140,000$

    Add: Depreciation expense 100,000*

    Incremental annual cash flow of investment 240,000$

    $350,000

    $190,000

    The supporting calculations for the payback figure are:

    Incremental annual revenue of investment 260,000$

    Less: Incremental annual expenses of investment 140,000

    Incremental annual income of investment 120,000$

    Add: Depreciation expense 70,000*

    Incremental annual cash flow of investment 190,000$

    *Depreciation expense: $350,000 5 years = $70,000

    Program Bank Installation

    *Depreciation expense: $500,000 5 years = $100,000

    Amount to Be Invested

    Estimated Annual Net Cash Flow= = 1.84 years

    Payback period:

    Memory Stick

    Amount to Be Invested

    Estimated Annual Net Cash Flow= 2.08 years=

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.9BBOOM, INC. (continued)

    b.

    $500,000 + $0

    2

    $140,000

    $250,000

    $350,000 + $0

    2

    $120,000

    $175,000

    c. Net present value:

    Memory St ick

    The discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 12% for 5 years is

    $240,000 3.605 (from Exhibit 26.4) 865,200$

    Less: Cost of investment 500,000

    Net present value 365,200$

    Program Bank Instal lat ionThe discounted present value of the incremental annual cash flow of

    the investment (see part a) discounted at 12% for 5 years is

    $190,000 3.605 (from Exhibit 26.4) 684,950$

    Less: Cost of investment 350,000

    Net present value 334,950$

    = 56%

    Return on average investment:

    Memory Stick

    Original Cost + Salvage Value

    2

    Average

    Investment=

    = = $175,000

    = = $250,000Average

    Investment

    Program Bank Installation

    Average Estimated Net Income=

    Average Investment

    Thus, the return on average investment is:

    Thus, the return on average investment is:

    Average Estimated Net Income=

    Average Investment= 68.6%

    Original Cost + Salvage Value

    2

    Average

    Investment

    Average

    Investment

    =

    The McGraw-Hill Companies, Inc., 2010

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    PROBLEM 26.9BBOOM, INC. (concluded)

    d.

    e.

    f.

    There are several nonfinancial considerations worth mentioning. First, the company must

    try to determine which medium the customers are most likely to use. Second, it must try to

    determine future industry trends regarding software distribution. Third, it must evaluatewhich medium provides the most protection against piracy and theft. Fourth, it must

    consider the risk of having their program bank installation infected with a computer virus.

    Finally, the company should consider whether other investment opportunities are available.

    If Boom invests in the program bank, there will no longer be a need for employees to load

    programs onto disks of any type, process orders, or package and ship program disks. If the

    employees and managers who currently perform these tasks believe they may be terminated

    if the investment is made, they will likely be biased against it and underestimate its benefits.

    Both are excellent investments with low payback periods, high return on investments and

    positive net present values. The ultimate decision should be a marketing one.

    The McGraw-Hill Companies, Inc., 2010

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    SOLUTIONS TO CRITICAL THINKI

    a.

    b.

    25 Minutes, Strong

    Present value of estimated incremental annual cash flows for 10 years:

    $114,000 5.019 (Exhibit 26.4)

    Net present value of proposal, discounted at an annual rate of 15%:

    THE CASE OF THE COS

    Amount to be invested (to be paid immediately) .

    Net present value of proposal

    The cost of the laser printer is $1,300,000, not $2,500,000 as Adams suggests.

    including the $1,200,000 after-tax loss on the sale of the existing equipment as

    of the laser printer. This $1,200,000 is part of the cost of the old equipment, n

    printer. The $1,200,000 is a sunk costthat is, it has alr eady been incur reda

    regardless of whether the existing equipment is sold or continued in use. The

    printer consists only of the $1,300,000 price which must be paid to purchase i

    Present value of proceeds from sale of existing equipment

    Present value of tax savings from loss on disposal of existing equipment,

    realized in 1 year: $800,000 .870 (Exhibit 26.4)

    (received immediately)

    Total present value

    The McGraw-Hill Companies, Inc., 2010

    Case 26.1

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    NG CASES

    $ 572,166

    200,000

    696,000

    $ 1,468,166

    1,300,000

    $ 168,166

    CASE 26.1LY LASER

    dams is

    part of the cost

    t of the laser

    d exists

    ost of the laser

    .

    The McGraw-Hill Companies, Inc., 2010

    Case 26.1

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    60 Minutes, Strong CGRIZZLY COMMUNITY H

    a.

    $4,500,000$525,000

    The supporting calculations are:

    Incremental annual revenue of investment

    Less: Incremental annual expenses of investment

    Incremental annual income of investment

    Add: Depreciation expense

    Incremental annual cash flow of investment

    $300,000

    $2,250,000

    Net Present Value

    The discounted present value of the incremental annual cash flow of

    the investment (see above) discounted at 12% for 20 years is

    $525,000 7.469 (from Exhibit 26.4)

    Less: Cost of investment

    Net present value

    The negative net present value computed above indicates that

    expected return of the center is less than the 12% return required

    by the hospital.

    2

    $4,500,000 + $0

    2= $2,250,000

    =

    =

    Average Estimated Net Income

    *Depreciation expense: 4,500,000 20 years = $225,000

    Return on average investment:

    Average Investment

    Average Investment

    Original Cost + Salvage Value

    Average Investment= = 13.33%

    Relevant financial measures introduced in the chapter include:

    Payback period

    Amount to Be InvestedEstimated Annual Net Cash Flow

    = = 8.57 years

    Thus, the return on average investment is:

    The McGraw-Hill Companies, Inc., 2010

    Case 26.2

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    ASE 26.2 OSPITAL

    1,150,000$

    850,000

    300,000$

    225,000*

    525,000$

    3,921,225$

    4,500,000

    (578,775)$

    The McGraw-Hill Companies, Inc., 2010

    Case 26.2

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    CASE 26.2

    b.

    c.

    There are many nonfinancial issues related to this decision. Questions that should be

    addressed include (1) Would those patients who now travel 300 miles for treatment utilize

    the Grizzly facility? (2) Is the staff of Grizzly trained to deliver quality dialysis care to

    kidney patients? (3) Is a helicopter that would provide emergency care to rural areas abetter use of hospital funds? (4) Does a hospital have an ethical responsibility to deliver

    comprehensive services even if some are unprofitable? (5) Is a hospital a business? (6)

    What will be the impact on the hospital if one or more physicians move out of the area if a

    dialysis center is not built? (7) What state, federal, or private funding is available for this

    type of facility? (8) What alternative investment opportunities does the hospital have?

    The estimates of the revenues and costs associated with the dialysis center were provided

    by the physicians, who are strongly in favor of building the center. Due to their position on

    the issue, these estimates may overstate the revenues and understate the costs of the center.

    To make a well-informed decision, neutral estimates should be obtained from an outside

    consulting firm or the hospitals finance division.

    GRIZZLY COMMUNITY HOSPITAL (concluded)

    The McGraw-Hill Companies, Inc., 2010

    Case 26.2 (p.2)

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    20 Minutes, Medium CASE 26.3

    INTERNATIONAL INVESTMENTS IN OUTSCOURCINGBUSINESS WEEK

    a.

    b.

    Lower cost does not always mean gains in efficiency implies that the cash flow savings

    obtained from lower cost inputs overseas (labor for example) may be offset by higher costsand related cash flows due to reduced productivity. Often, lower labor costs go hand in

    hand with less skilled labor. A lower skilled labor force will result in lower productivity

    and efficiency.

    Although companies have been known to undertake transfer of knowledge between

    current and future employees, there are significant ethical concerns about asking currentemployees to train their offshore replacements. There is the potential for the employees to

    be less than forthcoming about the knowledge required to successfully complete their job.

    Thus, transfer of information may be incomplete or fraudulent. That is an ethical problem

    on the part of the employees. The company bears some ethical responsibility in asking the

    employees to share knowledge they may have gained over many years of work and

    training, without additional compensation.

    Choosing to run your own offshore operation versus outsourcing the management of that

    operation can have significant cash flow implications. It is likely to be more costly to

    manage your own offshore operation. However, gains in efficiency, productivity and

    quality can offset those initial costs.

    Current employees can hinder progress in completing an international investment if they

    believe their jobs are ultimately in jeopardy. Creating a mechanism for fullcommunication and transparency is key to getting employees on board. In addition, if jobs

    are being transferred overseas, then mechanisms for retraining and retaining current

    employees will help make sure they are onboard. Of course these initiatives have

    Finally, treating your partners as equals will result in tapping into your partners

    knowledge which will far exceed your domestic-based understanding of the international

    setting. That knowledge could have significant cash flow implications if it saves missteps in

    the investment process from occurring.

    The McGraw-Hill Companies, Inc., 2010

    Case 26.3

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    CASE 26.4

    INTERNET

    a.

    b.

    c.

    There are several capital investment decisions highlighted in the history section, including

    the construction of a large mail order plant in Chicago in 1906, which was then the largestbusiness building in the world, and the subsequent construction of the Sears Tower in

    1973. The establishment of the Allstate Insurance Company, Dean Witter Investments, the

    acquisition of K-Mart, and the Discover Card, were also capital investment decisions

    focused on expanding the scope of Sears operations.

    In its decisions to invest in businesses not involved in retail sales (such as Allstate

    Insurance), Sears would have had to consider whether these businesses would fit with its

    current operations and whether they could be managed effectively. Customer preferences

    would have also been analyzed to determine if they would be willing to buy