Principles of Managerial Finance, 15th Edition Solution Manual

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Contents
PART 1 Introduction to Managerial Finance 1
1 The Role of Managerial Finance 2
2 The Financial Market Environment 19
PART 2 Financial Tools 29
3 Financial Statements and Ratio Analysis 31
4 Long- and Short-Term Financial Planning 55
5 Time Value of Money 79
PART 3 Valuation of Securities 109
6 Interest Rates and Bond Valuation 111
7 Stock Valuation 133
PART 4 Risk and the Required Rate of Return 149
8 Risk and Return 151
9 The Cost of Capital 185
PART 5 Long-Term Investment Decisions 207
10 Capital Budgeting Techniques 209
11 Capital Budgeting Cash Flows 231
12 Risk Refinements in Capital Budgeting 259
PART 6 Long-Term Financial Decisions 283
13 Leverage and Capital Structure 285
14 Payout Policy 315
PART 7 Short-Term Financial Decisions 333
15 Working Capital and Current Assets Management 335
16 Current Liabilities Management 353
PART 8 Special Topics in Managerial Finance 371
17 Hybrid and Derivative Securities 373
18 Mergers, LBOs, Divestitures, and Business Failure 393
19 International Managerial Finance 411

Chapter 1 The Role of Managerial Finance 2
Chapter 1
The Role of Managerial Finance
Instructor’s Resources
Chapter Overview
This chapter introduces the field of finance through building-block terms and concepts. The discussion starts by
defining “firm” and stressing its principal goal—maximizing shareholder wealth. The importance of focusing on
shareholders rather than stakeholders broadly and stock price rather than current profits is explained. The
managerial-finance function is then described and differentiated from economics and accounting, with special
attention to the role ethics play in a financial manager’s efforts to maximize the firm’s stock price. Next, the
three basic legal forms of business organization (sole proprietorship, partnership, and corporation) are
discussed and the strengths and weaknesses of each form noted. The chapter concludes with an exploration of
the agency problem—the conflict arising when the managers and owners of the firm are not the same
people—and the private- and public-sector tools available to focus managerial attention on shareholder
wealth.
This chapter and the ones to follow stress the important role finance vocabulary, concepts, and tools will play
in the professional and personal lives of students—even those choosing other majors, such as accounting,
economics information systems, management, marketing, or operations. Whenever possible, personal-finance
applications are provided to motivate and illustrate topics. This pedagogical approach should inspire students
to master chapter content quickly and easily.
NOTE: After this text went to press, Congress passed the Tax Cuts and Job Act of 2017, which dramatically
changed both corporate and personal tax rates. The first printing of this text did not reflect these tax changes,
but subsequent print runs do. For tax-related problems, we provide solutions under both the old and the new
tax law. Of particular relevance to this chapter, the corporate tax rate is now a flat 21%. Individuals still face a
progressive rate schedule, so there is still value in explaining the progressive nature of the old corporate
structure as well as the difference between marginal and average tax rates (which are essentially the same
under a flat-rate structure). The change in the corporate tax code—in particular the introduction of a lower,
flatter rate—can serve as a useful discussion point throughout this text. For example, instructors may wish to
discuss the impact of a lower tax rate on the NPV of investments or a firm’s optimal capital structure.
Suggested Answer to Opener-in-Review
Students learned the stock price of Brookdale Senior Living tumbled 36% in 2016 to $12.35 per share,
prompting Land and Buildings (a prominent stockholder) to urge the firm sell its real-estate holdings,
distribute the anticipated net sales proceeds ($21 cash) to shareholders, and then focus on managing its senior
living facilities. Students were asked whether the proposal would make Brookdale’s shareholders better off if
the expected cash proceeds were realized, but stock price dipped to $5 per share.

Chapter 1 The Role of Managerial Finance 3
Before restructuring, an investor with one Brookdale share had $12.35 in total wealth. Afterward, that same
investor had a share worth $5 and $21 in cash—total wealth of $26. The hypothetical shareholder reaped a
gain of $13.65 per share or 110.5%. Before the asset sale, with 185.45 million shares outstanding and a share
price of $12.35, total shareholder wealth was $2.29 billion. After the sale, with same shares outstanding and
wealth per share now $26, shareholder wealth rose to $4.82 billion– a net gain of $2.53 billion.
Here is a discussion question for the class to motivate future exploration of CEO compensation: Suppose
Brookdale’s CEO came up with the asset-sale idea rather than a prominent shareholder, and Brookdale’s
board rewarded him with a $1 million dollar bonus—a figure alone that would easily vault the CEO into the
top 1% of U.S. income earners. Is the CEO’s compensation excessive?
Answers to Review Questions
1-1. The goal of a firm, and therefore of all financial managers, is maximizing shareholder wealth. The
proper metric for this goal is the price of the firm’s stock. Other things equal, an increasing price per
share of common stock relative to the stock market as a whole indicates achievement of this goal.
1-2 Actions that maximize the firm’s current profit may not produce the highest stock price because (1)
some firm activities that result in slightly lower profit today generate much larger profits in the future
periods (i.e., focusing on current profit overlooks the time value of money); (2) activities that generate
higher accounting profits today may not result in higher cash flows to stockholders; and (3) activities
that lead to high profits today may involve higher risk, which could result in significant future losses.
1-3 Risk is the chance actual outcomes may differ from expected outcomes. Financial managers must
consider risk and return because the two factors tend to have an opposite effect on share price. That is,
other things equal, an increase in the risk of cash flows to shareholders will depress firm stock price
while higher average cash flows to shareholders will increase stock price.
1-4 Maximizing shareholder wealth does not mean overlooking or minimizing the welfare of other firm
stakeholders. Firms with satisfied employees, customers, and suppliers tend to produce higher (or less
risky) cash flows for their shareholders compared with companies that neglect non-owner stakeholders.
That said, customers prefer lower prices for firm output, firm employees prefer higher wages, and firm
suppliers prefer higher prices for the input goods and services they provide. So actions that produce the
highest price of the firm’s stock cannot simultaneously maximize customer, employee, and supplier
satisfaction.
1-5 Broadly speaking, the decisions made by financial managers fall under three headings: (i) investment,
(ii) capital budgeting, and (iii) working capital. Investment decisions involve the firm’s long-term
projects while financing decisions concern the funding of those projects. Working-capital decisions, in
contrast are related to the firm’s management of short-term financial resources.
1-6 Financial managers must recognize the tradeoff between risk and return because shareholders prefer
higher cash flows but dislike large swings in cash flows. And, as a general rule, actions that boost the
firm’s average cash flows also result in greater cash-flow greater volatility. Viewed another way, firm
actions to reduce the chance cash flows will be low or negative also tend to reduce average cash flows
over time. Understanding this tradeoff is important because shareholders are risk averse. That is, they
will only accept larger swings in a firm’s cash flows only if compensated over time with higher average
cash flows.

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4 Zutter/Smart • Principles of Managerial Finance, Fifteenth Edition
1-7 Finance is often considered applied economics. One reason is firms operate within the larger economy.
More importantly, the bedrock concept in economics—marginal benefit-marginal cost analysis—is also
central to managerial finance. Marginal benefit-marginal cost analysis is the notion a firm (or any other
economic actor) should take only those actions for which the extra benefits exceed the extra costs.
Nearly, all financial decisions ultimately turn on an assessment of their marginal benefits and marginal
costs.
1-8 Accountants and financial managers perform separate but equally important functions for the firm.
Accountants primarily collect and present financial data according to generally accepted financial
principles while financial managers make investment, capital-budgeting, and working-capital decisions
with financial data. In part because of their different functions, accountants and financial managers log
firm revenues and expenses using different conventions. Accountants operate on an accrual basis,
recognizing revenues as firm output is sold (whether or not payment is actually received) and firm
expenses as incurred. Financial managers, in contrast, focus on actual inflows and outflows of cash,
recognizing revenues when physically received and expenses when actually paid.
1-9 Like any economic actor, managers respond to incentives. Managers have a fiduciary duty to maximize
shareholder wealth, but as humans, they also have personal goals—such as maximizing their own
income, wealth, reputation, and quality of life. If the personal benefits of delivering for shareholders (or
the costs of slighting them) are small, a financial manager might opt to further his own interest at the
expense of shareholders. For example, CEOs of large firms—those with more sales, assets, employees,
etc.—tend to receive more compensation than CEOs of smaller firms. If a CEO has to choose between
two operating strategies—one that produces modest growth for his firm but a large jump in current
stock price and another that generates rapid growth but a more modest rise in share price—and the
firm’s board is not closely monitoring the CEO, she might pursue the high-growth strategy to boost her
future compensation. A partial solution to such a problem is a compensation closely linking CEO
compensation to firm stock price.
1-10 Sole proprietorships are the most common form of business organization, while corporations tend to be
the largest. Large firms tend to organize as corporations to insulate owners from losses (limit liability)
and facilitate acquisition of financial capital to fund growth.
1-11 Stockholders are the owners of a corporation. Their ownership (equity) takes the form of common
stock or, less frequently, preferred stock. Stockholders elect the board of directors, which has ultimate
responsibility for guiding corporate affairs and setting general policy. The board usually comprises key
corporate personnel and outside directors. The corporation’s president or chief executive officer (CEO)
reports to the board. He or she oversees day-to-day operations subject to the general policies established
by the board. The corporation’s owners (shareholders) do not have a direct relationship with
management; they provide input by electing board members and voting on major charter issues.
Shareholders receive compensation in two forms: (i) dividends paid on their stock (from corporate
earnings) and (ii) capital gains from increases in the price of their shares (which reflect market
expectations about future dividends).
1-12 Generally speaking, income from sole proprietorships and partnerships is taxed only once at the
individual level; the owner or owners pay personal income tax on their share of firm’s profits. In
contrast, corporate income is taxed first at the firm level (via the corporate income tax paid on firm
profits) and then again at the personal level (via personal income tax paid on dividends or capital gains
enjoyed by shareholders).

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Chapter 1 The Role of Managerial Finance 5
1-13 Agency problems arise when managers place personal goals ahead of their duty to shareholders to
maximize stock price. The attendant costs are called agency costs. Agency costs can be implicit or
explicit; either way they reduce shareholder wealth. An example of an “implicit” agency cost is the
dividends or capital gains shareholders miss out on because the firm’s management team pursued a
personal interest (like maximizing sales to boost future compensation) rather than maximizing
shareholder wealth. Of course, if shareholders sense stock price is not what it should be, they will start
monitoring management more closely (as in the chapter opener with Brookdale Senior Living). The
expenses associated with greater monitoring are an example of an “explicit” agency cost. Agency
problems in a firm can be reduced with a properly constructed and followed corporate-governance
structure. Such a structure will feature checks and balances that reduce management’s interest in and
ability to deviate from shareholder-wealth maximization. Like all corporate decisions, reducing agency
costs is subject to marginal benefit–marginal cost analysis. In other words, the firm should invest in
policies to align the incentives of management and shareholders as long as the marginal benefits exceed
the marginal costs.
1-14 Firms most commonly try to mitigate agency problems by linking pay to metrics connected with
shareholder wealth. Incentive plans tie compensation to share price. For example, the CEO might
receive options offering the right to purchase stock at a set price (say current price) any time in the next
few years. If the CEO takes actions that subsequently boost share price, she can profit personally by
exercising the option—purchasing stock at the set price—and reselling at the higher market price. The
higher the firm’s stock price, the more money the CEO can make, so options create a powerful
incentive to focus laser-like on shareholder wealth. There is a downside, however. Sometimes general
market trends swamp all the good done by management, so even though the CEO obsessed over
shareholder wealth, her options proved worthless because a bear market hammered the firm’s stock
price. This problem has made performance plans more popular. These plans link compensation with
performance measures related to stock price that management can more closely control—such as
earnings per share (EPS) and EPS growth. When targets for the performance metrics are attained,
managers receive rewards like performance shares and/or cash bonuses.
1-15 If the board of directors fails to keep management focused on shareholder wealth, market forces can
apply the necessary pressure. Two such forces are activism by institutional investors (such as Land and
Buildings in the chapter opener) and the threat of hostile takeovers. Institutions typically hold large
quantities of shares in many corporations. Because of their large stakes, these investors actively
monitor management and vote their shares for the benefit of all shareholders. Large institutional
investors reduce agency problems by using their voting clout to elect new directors that will make the
changes in policies and personnel necessary to get underperforming stock to its highest possible price.
The threat of hostile takeover can also keep management focused on shareholders. Say a firm has a
stock price of $15, but that price could be $20 with bold action management is reluctant to take. The
lure of a $5 capital gain per share could tempt an outside individual, group of investors or firm not
supported by existing management to purchase controlling interest and force the necessary changes.
Incumbent management knows “necessary changes” means unemployment, so the threat of takeover
could be enough to align their interests with those of the owners.

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6 Zutter/Smart • Principles of Managerial Finance, Fifteenth Edition
Suggested Answer to Focus on Ethics Box:
Do Corporate Executives Have a Social Responsibility?
How would Friedman view a sole proprietor’s use of firm resources to pursue social goals?
In a sole proprietorship, the owner and manager are one in the same. So a manager using firm resources to
support social goals would be doing exactly what the owner wanted. Put another way, Friedman would not
see a conflict. He did not oppose pursuit of social goals by a firm or individual; he opposed doing so with
someone else’s money.
Suggested Answer to Focus on Practice Box:
Must Search Engines Screen Out Fake News?
Is the goal of maximizing shareholder wealth necessarily ethical or unethical?
The “end” of maximizing shareholder wealth is neither ethical nor unethical; it is neutral. But the means
employed to pursue the end can be ethical or unethical. For example, taking actions to raise share price in
clear violation of U.S. law is unethical—that is to say, wrong even if the violations are not uncovered.
What responsibility, if any, does Google have to help users assess the veracity of online content?
Management’s overriding concern should be shareholder wealth. Knowingly posting content a reasonable
person could see is fake harms shareholders by damaging the Google brand, so some due diligence is
warranted. How much Google should invest in validating online content depends on the marginal benefits and
costs. Specifically, Google should verify as long as the marginal benefit to shareholders exceeds the marginal
cost—that is, only as long as the net effect on stock price is positive.
Answers to Warm-Up Exercises
E1-1. Advantages and disadvantages of partnership versus incorporation (LG 5)
Answer: Each form of business organization has advantages and disadvantages. One advantage of a simple
partnership is that each partner’s income is taxed only once as personal income (i.e., subject to the
personal income tax). Corporate income, in contrast, is taxed twice—corporate profits will be
subject to the corporate income tax, and the dividends and capital gains from each partner’s stock
will be taxed as personal income.
Taxation is a key factor in choosing the form of business organization, but two other factors are
also important. In a partnership, each partner has unlimited liability and may have to cover debts
of other partners, while corporate owners have limited liability that guarantees they cannot lose
more than they have invested in the corporation. The third major consideration is ease of transfer
of the business. Partnerships are harder to transfer and technically dissolved when a partner dies,
while a corporation has an infinite life (absent bankruptcy, merger, or acquisition) with ownership
readily transferable through sale of existing shares.

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Chapter 1 The Role of Managerial Finance 7
If a third party were asked to decide which legal form of business A&J Tax Preparation should
take, it would be useful to have the following information:
• Relevant specifics of current personal
and corporate income tax codes (such as
marginal rates, deductions, etc.)
• Expected future changes in tax law
• Expected longevity of firm
• Age of current owners
• Current succession plan
• Risk tolerance of owners
• Capital needs of firm
• Growth prospects of firm
• Reasons for each partner’s
view on preferred form of
ownership
E1-2 Timing of cash flows (LG 4)
Answer: Based on the information provided, the choice is not obvious. Even though the second project is
expected to provide a larger overall increase in earnings, the goal of the firm is maximizing
shareholder value (not earnings per se), so the timing and risk of cash flows must be considered to
determine which project is superior. For example, even if the second project’s cash flows are higher,
they tend to arrive later, so it is not clear whether the second project is preferable to the first.
E1-3. Cash flow vs. profits (LG 4)
Answer: It is not unusual for profitable firms to suffer a cash crunch. This typically happens when expenses
must be paid before revenue can be collected. In such cases, the firm must arrange financing to
plug the gap between cash inflows and outflows. If cash crunches are regular, management should
consider going ahead with the party, particularly if it is important for employee morale (i.e.,
cancelling might significantly reduce productivity)—provided adequate short-term funding is
available. If the crunch is new, larger problems could lie ahead, and funding a party before the
cash-flow outlook became clear might expose the firm to financial risk.
E1-4. Sunk costs (LG 5)
Answer: Marginal benefit-marginal cost analysis ignores sunk costs, so the $2.5 million dollars spent over
the past 15 years is irrelevant to the current decision. At this point, what matters is whether expected
revenues from additional investment exceed expected costs, after adjusting for the risk and timing of
cash flows. If so, and funding is available, the investment is sound (irrespective of the specific
capital expenditure required). The key to the decision may well lie in the satellite-division
manager’s candid assessment that the project has little chance of viability. That assessment
suggests additional expenditure is likely to throw good money after bad.
E1-5. Agency costs (LG 6)
Answer: Agency costs arise when one party (principal) designates another party (agent) to act on her behalf
and the second party (agent) has latitude to pursue her own interest at the expense of the principal.
In a corporation, shareholders are principals and managers agents. If shareholders fail to monitor
adequately, managers could focus on personal goals rather than shareholder value. The resulting
negative impact on stock price is an example of an agency cost. Another example is the cost of
stock options, which focus manager attention on share price but also raise managerial
compensation.
In the Donut Shop, Inc. example, the principal is store management, and the agents are employees.
As normal humans, employees might prefer talking with other each or taking long breaks to
focusing laser-like on customers. Banning tips led to poorer service, which could ultimately drive
customers elsewhere and cost store managers their jobs. Tipping, like options, aligns the interests

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8 Zutter/Smart • Principles of Managerial Finance, Fifteenth Edition
of principals and agents. The prospect of a tip kept employees (agents) focused on customer
satisfaction, just as store management (principals) wished.
One potential solution for Donut Shop, Inc., is a profit-sharing plan that includes employees whose
behavior reduced customer satisfaction. For the new benefit to be effective, Donut Shop must sell the
plan as a replacement for tipping and structure it to provide generous bonuses when profits rise
(because profit sharing lacks the immediacy of tips for good service). Perhaps a simpler solution is
recognizing the ban on tipping led to customer-service problems in the first place and reversing the
policy.
E1-6. Corporate tax liability (LG 5)
Answer: Note to instructors: After the first print run of this text, Congress made major changes to corporate
taxes. A revised printing incorporated the newest tax changes, but some students may be using a
version of the text with a graduated corporate tax code rather than the current 21% flat tax. The
answer to this question under current law is that taxes are 21% of income, which is $500,000 plus
the $25,000 capital gain. 21% × $525,000 = $110,250. For students using the first print run with
the old tax rates, the answer is as follows. Ross purchased the asset for $125,000 and sold it for
$150,000, thereby netting a $25,000 capital gain. This gain is taxed as ordinary corporate income, so
total taxable income is $525,000. From Table 1.2, the tax liability equals (0.15) ($50,000) + (0.25)
($75,000 – $50,000) + (0.34) ($100,000 – $75,000) + (0.39) ($335,000 – $100,000) + (0.34)
($525,000 – $335,000) = $178,500.
Solutions to Problems
P1-1. Liability comparisons (LG 5; Basic)
a. Ms. Harper has unlimited personal liability, so she is liable for the firm’s $60,000 in unpaid debts.
b. Initially, Ms. Harper is liable for $30,000 (50% of total unpaid debts). But if her partner cannot
cover half the debt, Ms. Harper is liable for the full amount.
c. Ms. Harper has limited liability; she cannot lose more than her $25,000 investment.
P1-2. Accrual income vs. cash flow for a period (LG 4; Basic)
a. Sales $760,000
Cost of goods sold 300,000
Net profit $460,000
b. Cash receipts $690,000
Cost of goods sold 300,000
Net cash flow $390,000
c. A financial manager will find the cash-flow statement more useful. Accounting net income
includes uncollected revenues that do not contribute to owner wealth. Cash flows, not accounting
profits, matter to shareholders.

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Chapter 1 The Role of Managerial Finance 9
P1-3. Personal finance: cash flows (LG 4; Intermediate)
a. Total cash inflow: $450 + $4,500 = $4,950
Total cash outflow: $1,000 + $500 + $800 + $355 + $280 + $1,200 + $222 = $4,357
b. Net cash flow: Total cash inflows—Total cash outflows = $4,950 − $4,357 = $593
c. If Jane is facing a shortage, she could reduce spending on discretionary items such as clothing,
dining out, and gas (i.e., travel less).
d. Jane should examine anticipated cash flows in other months to verify August is typical. She may,
for instance, discover expenditures not in her August budget—like large quarterly automobile-
insurance expenses or large gift purchases in December. To prepare for such outlays, Jane should
put the $593 in a bank deposit or money-market account where the funds are readily accessible,
and capital losses unlikely. If the $593 will not needed for anticipated bills, Jane should explore
longer-term investment options, such as a diversified portfolio of stocks and bonds.
P1-4. Marginal benefit-marginal cost analysis and goal of the firm (LG 2 and LG 4; Challenging)
a. Marginal benefits of proposed robotics =
Marginal benefits of new robotics − Marginal benefits of original robotics
$560,000 − $400,000 = $160,000
b. Marginal cost of proposed robotics =
Marginal cost of new robotics – Sales price of current robotics
$220,000 − $70,000 = $150,000
c. Net benefits of new robotics =
Marginal benefits of proposed robotics − Marginal cost of proposed robotics
$160,000 − $150,000 = $10,000
d. Provided cash flows from new and existing robotics are equally risky and either (i) cash flows
from each option have the same timing or (ii) the discount (interest rate) is zero, Ken Allen should
recommend new robotics because the marginal benefits exceed marginal costs.
e. Three other important factors are cash-flow risk, cash-flow timing, and interest rates. New
technology sometimes presents unique risks—new robotics, for example, could have unanticipated
breakdowns that necessitate a recall—so Ken Allen should investigate the riskiness of each cash
flow under the marginal-benefit and marginal-cost headings. He should also determine the exact
timing of cash inflows/outflows for both options as well as the opportunity cost of funds invested
(i.e., the interest rate). Timing and the interest rate are important because the project spans five
years, and dollars received/spent today are worth more than dollars received/spent tomorrow.
P1-5. Identifying agency problems, costs, and resolutions (LG 6; Intermediate)
a. The agency cost is wages paid to an idle employee whose responsibilities must be covered by
someone else. One solution is a time clock everyone must punch when arriving for work, take a
lunchbreak, and leave for the day. A punch clock would reduce agency costs by (1) prompting the
receptionist to return from lunch on time or (2) reduce wages paid for unproductive time.
b. The agency costs are opportunity costs—money budgeted for inflated cost estimates that cannot be
used to fund other projects to enhance shareholder wealth. One solution is rewarding managers for
accurate cost estimates rather keeping actual costs below their estimates.

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10 Zutter/Smart • Principles of Managerial Finance, Fifteenth Edition
c. The agency cost is lost shareholder wealth; the CEO might agree to sell the firm for less than fair-
market value in return for a post-merger position with more income, wealth, power, or visibility.
One safeguard is allowing bids from other potential partners once the CEO has publicly disclosed
firm interest in merging. Competitive bidding should reveal a merger price fair to shareholders.
d. Part-time or temporary workers are less productive than full-time workers for two reasons: (i) new
employees must learn their jobs, and (ii) fully trained employees obtain insights about improving
efficiency from experience. In the short run, any decline in service caused by part-time or
temporary workers would probably not drive branch customers away. And the same revenue with
lower costs (from cheaper workers) will, indeed, boost profits. Over the long run, however,
consistently less-productive employees will hurt profitability by reducing revenue or raising costs.
One solution is rewarding managers with stock for meeting performance targets over a longer
horizon (like average branch profit over the past three years).
P1-6 Corporate taxes (LG 5; Basic)
a. Firm’s tax liability on $92,500 using Table 1.2:
Total taxes due = $13,750 + [0.34 × ($92,500 – $75,000)] = $13,750 + $5,950 = $19,700
For students with the text updated with the latest tax information, the taxes due would be 21% ×
$92,500 = $19,425.
b. After-tax earnings: $92,500 – $19,700 = $72,800. For students with the text updated with the
latest tax information, after tax earnings are $92,500 – $19,425 = $73,075.
c. Average tax rate: $19,700 ÷ $92,500 = 21.3%. For students with the text updated with the latest
tax information, the average tax rate is $19,425 ÷ $92,500 = 21.0%.
d. Marginal tax rate: 34%. For students with the text updated with the latest tax information, the
marginal tax rate is 21%. Notice that the marginal and average tax rates are the same under a flat
tax.
P1-7 Average corporate tax rates (LG 6; Basic)
a. Tax calculations using Table 1.2:
$10,000: Tax liability: $10,000 × 0.15 = $1,500
After-tax earnings: $10,000 – $1,500 = $8,500
Average tax rate: $1,500 ÷ $10,000 = 15%
$80,000: Tax liability: $13,750 + [0.34 × (80,000 – $75,000)]
= $13,750 + $1,700 = $15,450
After-tax earnings: $80,000 – $15,450 = $64,550
Average tax rate: $15,450 ÷ $80,000 = 19.3%
$300,000: Tax liability: $22,250 + [0.39 × ($300,000 – $100,000)]
= $22,250 + $78,000 = $100,250
After-tax earnings: $300,000 – $100,250 = $199,750
Average tax rate: $100,250 ÷ $300,000 = 33.4%
$500,000: Tax liability: $113,900 + [0.34 × ($500,000 – $335,000)]
= $113,900 + $56,100 = $170,000
After-tax earnings: $500,000 – $170,000 = $330,000
Average tax rate: $170,000 ÷ $500,000 = 34%

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Chapter 1 The Role of Managerial Finance 11
$1,500,000: Tax liability: $113,900 + [0.34 × ($1,500,000 – $335,000)]
= $113,900 + $396,100 =$510,000
After-tax earnings: $1,500,000 – $510,000 = $990,000
Average tax rate: $510,000 ÷ $1,500,000 = 34%
$10,000,000: Tax liability: $113,900 + [0.34 × ($10,000,000 – $335,000)]
= $113,900 + $3,286,100 =$3,400,000
After-tax earnings: $10,000,000 – $3,400,000 = $6,600,000
Average tax rate: $3,400,000 ÷ $10,000,000 = 34%
$20,000,000: Tax liability: $6,416,667 + [0.35 × ($20,000,000 – $18,333,333)]
= $6,416,667 + 583,333 = $7,000,000
After-tax earnings: $20,000,000 – $7,000,000 = $13,000,000
Average tax rate: $7,000,000 ÷ $20,000,000 = 35%
Note that the answers above apply to the version of the text that did not have updated tax information. In the
revised version with new tax information, the problem was modified to ask about partnership income rather than
corporate income. Partnership income is taxed at the new, 2018 individual income tax rates presented in a revised
Table 1.2 (which shows tax rates for a single taxpayer). For this revised question, the appropriate answers appear
below. The answers assume that the person receiving this income flowing from a partnership has no other income.
a. Tax calculations using Table 1.2:
$10,000: Tax liability: $953 + $475 × 0.12 = $1,010
After-tax earnings: $10,000 – $1,010 = $8,990
Average tax rate: $1,010 ÷ $10,000 = 10.1%
$80,000: Tax liability: $4,454 + [0.22 × (80,000 – $38,700)] = $13,540
After-tax earnings: $80,000 – $13,540 = $66,460
Average tax rate: $13,540÷ $80,000 = 16.9%
$300,000: Tax liability: $45,690 + [0.35 × ($300,000 – $200,000)] = $80,690
After-tax earnings: $300,000 – $80,690 = $219,310
Average tax rate: $80,690 ÷ $300,000 = 26.9%
$500,000: Tax liability: $150,690 (just the base tax number from Table 1.2)
After-tax earnings: $500,000 – $150,690 = $349,310
Average tax rate: $150,690 ÷ $500,000 = 30.1%
$1,000,000: Tax liability: $150,690 + [0.37 × ($1,000,000 – $500,000)] = $335,690
After-tax earnings: $1,000,000 – $335,690 = $664,310
Average tax rate: $335,690 ÷ $1,000,000 = 33.6%
$1,500,000: Tax liability: $150,690 + [0.37 × ($1,500,000 - $500,000)] = $520,690
After-tax earnings: $1,500,000 – $520,690 = $979,310
Average tax rate: $520,690 ÷ $1,500,000 = 34.7%
$2,000,000: Tax liability: $150,690 + [0.37 × ($2,000,000 – $500,000)] = $705,690
After-tax earnings: $2,000,000 – $705,690 = $1,294,310
Average tax rate: $705,690 ÷ $2,000,000 = 35.3%

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12 Zutter/Smart • Principles of Managerial Finance, Fifteenth Edition
b. The graph below pertains to the version of the text WITHOUT tax updates. As taxable corporate
income rises, the average tax rate approaches 35%.
Under the new tax law, the partnership’s average tax rate gets closer and closer to 37% as income
goes higher and higher.
0
5
10
15
20
25
30
35
40
0 500000 1000000 1500000 2000000 2500000
Average Tax Rate
Income
Average Tax Rate and Income Levels

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Chapter 1 The Role of Managerial Finance 13
P1-8 Marginal corporate tax rates (LG 6; Basic)
As was true in the previous problem, there are different solutions depending on whether a student has
a book with updated tax information or a book with the old tax information. Following is the solution
for the original version of the problem.
a.
Pre-Tax
Income Base Tax + % ×
Amount
Over Base =
Total
Tax
Marginal
Rate
$15,000 $ 0 + (0.15 × 15,000) = $ 2,250 15.0%
60,000 7,500 + (0.25 × 10,000) = 10,000 25.0%
90,000 13,750 + (0.34 × 15,000) = 18,850 34.0%
200,000 22,250 + (0.39 × 100,000) = 61,250 39.0%
400,000 113,900 + (0.34 × 65,000) = 136,000 34.0%
1,000,000 113,900 + (0.34 × 665,000) = 340,000 34.0%
20,000,000 6,416,667 + (0.35 × 1,666,667) = 7,00,0000 35.0%
b. As income rises to $335,000, the marginal tax rate approaches a peak of 39%. For income above
$335,000, the marginal rate first dips to 34%, and then edges up to 35% after $10 million.
.
Here is a solution for the new version of the problem to reflect the updated tax code. Note that the
problem was revised to focus on proprietorship income rather than corporate income, and the income
levels that students were asked to work with here are slightly different than in the original problem.
a. The marginal tax rates at the specified income levels are
Income Marginal rate
$15,000 12%
$60,000 22%
$90,000 24%
$150,000 24%
$250,000 35%
$450,000 35%

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