This Document Contains Chapters 1 to 2 CHAPTER 1 FOUNDATIONS FOCUS Chapter 1 is designed to provide an overview of finance. The emphasis is on breadth, lightly touching a number of topics without going into a great deal of detail. The chapter provides a foundation on which to base the more advanced work of later chapters. TEACHING OBJECTIVES Students should gain an understanding of the following concepts: 1. the basic nature of financial assets (securities) and the organization and operation of financial markets; 2. the role and responsibility of financial management in corporations; 3. the relationships between finance and accounting and between finance and economics, along with the importance of cash flow in finance; 4. the financial implications of the proprietorship and corporate forms of business organization including the true role of limited liability; 5. the need for a top level managerial goal and why maximizing shareholder wealth works; 6. stakeholder groups and conflicts of interest especially between management and stockholders. OUTLINE I. AN OVERVIEW OF FINANCE A. Financial Assets Distinguish financial assets from real assets and establish the basis of their value in future cash flows. B. Financial Markets Define financial markets as networks within which financial assets are traded. Describe the purpose of markets as transferring funds from investors to companies. C. Raising Money Corporations raise money in financial markets to finance projects. D. Financial Management The role of financial management within companies including Treasury and Control functions and the responsibilities associated with each. E. The Price of Securities - A Link Between the Firm and the Market The market price of securities provides a link between the activities of management and the players in financial markets. II. FINANCE AND ACCOUNTING The relationship between finance and accounting conceptually and in the typical organization. A. The Importance of Cash Flow Cash is king in finance. How that perception differs from the accounting viewpoint. B. The Language of Finance Financial people need to know at least a little accounting because it's the system in which businesses "keep score." III. FINANCIAL THEORY - THE RELATIONSHIP WITH ECONOMICS A. Financial theory distinguished from everyday practice. B. The roots of financial theory in economics. IV. FORMS OF BUSINESS ORGANIZATION AND THEIR FINANCIAL IMPACT The forms of business organization from the perspective of an entrepreneur starting and then expanding a business. A. The Proprietorship Form Easy to start, taxed just once. However, raising money for expansion is tough because no one wants to lend to new small businesses. B. The Corporate Form Double taxation, but now the business can sell stock, which can give investors an incentive to put money into a new small business. C. The Truth About Limited Liability Limited liability works for an absentee equity investor, but rarely does small business owners much good because of personal guarantees and liability for negligence. D. Limited Liability Companies (LLCs) and S-Type Corporations and The best of both worlds for small businesses, from the people who gave you the tax system. V. THE GOALS OF MANAGEMENT Maximizing shareholder wealth. Distinguished from maximizing profits. A. Stakeholders and Conflicts of Interest Corporate constituencies and how their interests can be different. B. Conflicts of Interest - An Illustration Employees vs. Stockholders - A gym on the factory site. Management referees. VI. MANAGEMENT, A PRIVILEGED STAKEHOLDER GROUP, A. The Agency Problem The special status of management and the opportunity to take advantage of it. VII. CREDITORS VS STOCKHOLDERS - A FINANCIALLY IMPORTANT CONFLICT OF INTEREST The losses from risky ventures may be shared by debt and equity investors, but the rewards accrue to the stockholders. VIII. CONCEPT CONNEDTIONS A text feature provided throughout the book that relates end of chapter problems to in chapter examples making studying easier and more efficient. IX. SECURITIES ANALYSIS AND THOMSON ONE – BUSINESS SCHOOL EDITION An introduction to the Thomson financial data base provided with the book for use to analyzing companies. QUESTIONS 1. Separate the following list of assets into real assets and financial assets. What are the distinguishing characteristics of each type of asset? Delivery Truck Factory Building Corporate Bond Inventory Corporate Stock Land Note Receivable Computer ANSWER: Real Assets: Delivery Truck, Factory Building, Inventory, Land, Computer Financial Assets: Corporate Bond, Corporate Stock, Note Receivable Real assets are objects that provide some use or service. Financial assets are pieces of paper or electronic files that provide a claim to future cash flows. 2. What is the primary factor that determines the price of securities? Can you think of another factor that might significantly affect how investors value the first factor? ANSWER: Financial assets, or securities, derive their value from the expected cash flows that come from owning them. Hence the primary determinant of price is what investors expect those cash flows to be. The second factor is risk. Some securities are volatile, and people understand that the cash flows coming from them may turn out to be a great deal more or less than originally expected. These risky securities have less value than more stable issues with the same expected cash flows. 3. Discuss the differences, similarities, and ties between finance and accounting. ANSWER: Finance and accounting both deal with the firm's money. All records are stated in terms of the accounting system, so financial people have to be conversant with accounting. In finance, the emphasis is on cash flow, while accounting is more concerned with giving an overall portrayal of the firm's condition. Accounting is generally part of the finance department, but people commonly think of treasury functions as "finance" and separate from accounting. 4. Discuss the relationship between finance and economics. ANSWER: Financial theory grew out of the application of economic methods to financial markets and the problems of businesses. Financial theory is therefore sometimes called Financial Economics. The techniques of analysis used by theorists in finance are essentially the same as those used in economics and tend to be very mathematical. 5. How does the activity of investors in financial markets affect the decisions of executives within the firm? ANSWER: The primary goal of management is to maximize shareholder wealth, which is taken to be equivalent to maximizing the price of the firm's stock. Senior corporate executives are therefore graded (and compensated) largely on the price performance of their companies' stock. That means they evaluate the impact of most decisions on investors in terms of how the decision will affect the price of securities. For example, an action that's likely to make the company more risky will be considered very carefully because it might cause investors to lose interest in the stock, which would lower its price. 6. What are the significant financial advantages and disadvantages of the sole proprietorship/ partnership form in comparison with the corporate form? ANSWER: The proprietorship form is easy to start and is taxed only once. However, it is difficult for a proprietorship to raise money since it must do so by borrowing. The corporate form is harder to start, and suffers from double taxation. However, it allows the sale of stock to raise money, which is much more attractive than debt to potential investors in new small businesses. 7. Is limited liability a meaningful concept? Why or why not? And if so, for whom? ANSWER: Limited liability is most meaningful to investors who own stock in firms they don't operate. To people who operate their own businesses the rule is of minimal value. With respect to loans, this is because banks demand personal guarantees from the owners of small firms to which they lend money. With respect to lawsuits it is because individuals within companies can be sued for damages they cause along with the companies. 8. What conflict(s) of interest can you imagine arising between members of the community in which a company operates and some other stakeholders? (Hint: Think about pollution.) ANSWER: It's generally cheaper to pollute than not to pollute; i.e., cleaning up industrial waste is expensive. That means profits are lower and shareholders are poorer if a company doesn't pollute. The people who live in the community, however, are better off if it doesn't foul the local environment. This creates a conflict between the community and shareholders. 9. Is the agency problem an ethical issue or an economic issue? ANSWER: It's both. It's an ethical issue because management may appropriate resources for their own benefit that rightly belong to stockholders. It's an economic issue because the resources so diverted make companies less efficient. 10. Compare and contrast the terms “stockholder” and “stakeholder.” ANSWER: A stockholder owns part of a company and is entitled to income in the form of dividends. Stockholders also elect directors who run the company. Stakeholders are groups of people who have an interest in how the firm is run. These include stockholders, employees, management, creditors and customers among others. Each group is interested in the firm’s operation and profitability for its own reasons. All stockholders are stakeholders, but all stakeholders aren’t stockholders. BUSINESS ANALYSIS 1. Diversified companies are made up of divisions, each of which is a separate business. Large companies have divisions spread over the entire country. In such companies most treasury functions are centralized, whereas most accounting functions are carried out in the individual divisions. The cash management function controls the collection of revenues and the disbursement of funds from various bank accounts. It makes sure that the company never runs out of cash by monitoring outflows and having lines of bank credit ready in case temporary shortages occur. Today's banking system is linked electronically so that cash can be transferred around the country immediately. The credit and collection function decides whether a particular customer can buy the firm’s products on credit. After the sale, it is responsible for following up to ensure that the bill is paid. Customers are often reluctant to pay because of problems and misunderstandings with sales or service departments. If you were designing the finance department of a diversified company, would you centralize these functions or locate them in the remote divisions? Why? Address each function separately. ANSWER: The cash management function should be centralized so that efficient use can be made of the firm's total available cash. Divisions can collect from customers and pay their bills using centralized accounts without worrying about the details of banking relationships and how much cash is available at any time. In other words, nothing is gained by having divisional financial executives replicate the effort of administering the banking relationship. Credit and collection is a completely different matter. It requires input from customers and coordination with other departments in the company—like marketing, production, and engineering. Those functions are located at the division level as is the customer contact. Therefore, it makes sense to have a credit and collection department in every division. 2. The company president is reviewing the performance and budget of the marketing department with the vice president of marketing. Should that be a one-on-one meeting or should the CFO be present? Why? If you feel the CFO should be there, what should be his or her role in the meeting? ANSWER: The CFO should be present and act in an advisory role to the president. The budget is a financial representation of the physical activity planned for the next period. The translation between activities and dollars often takes some financial expertise that the CFO should provide. He or she should also be sure the budget reflects a plan that is likely to achieve the firm's goals which tend to be stated largely in financial terms. Many presidents look to their CFOs to ask most of the questions in budget reviews. When this happens the CFO has to be cautious not to offend the Vice President of Marketing who is generally a peer. PROBLEMS Accounting Records and Cash Flow – Example 1.1, Page 8 1. Sussman Industries purchased a drilling machine for $50,000 and paid cash. Sussman expects to use the machine for 10 years after which it will have no value. It will be depreciated straight-line over the ten years. Assume a marginal tax rate of 40% What are the cash flows associated with the machine a. At the time of the purchase? b. In each of the following ten years? SOLUTION: a. At the time of the purchase, Sussman simply has a cash outflow of $50,000 reflecting the payment for the machine. There are no tax implications for this exchange of cash for another asset. b. In each of the next 10 years, Sussman will recognize ($50,000 /10 years =) $5,000 of depreciation expense. As a result, taxable income will be $5,000 lower each year, and the firm will pay ($5,000x.40=) $2,000 less tax which is in effect a cash inflow of that amount. (Notice that the total after tax cash cost of the machine over its ten year life is $30,000 rather than $50,000.) Tax Consequences of Business Form - Example 1.2, Page 12 2. Harvey Redmond is planning a new business that he expects will grow into a large company within a few years. Harvey’s lawyer has advised him that large companies are usually C-type corporations because of stock market considerations, so he’s considering that form now to avoid reorganizing later on. However, he’s also concerned about the after tax income he’ll be able to take out of the business during the first few years. Harvey thinks his business will have pretax earnings (after paying his salary) of about $150,000 per year for the first three years. Does it make sense for him to operate as a proprietorship for three years and then reorganize into a C-type at an estimated cost of $80,000 or to choose the C-type now at essentially no additional cost? Assume a simplified tax system in which the corporate rate is 34% and Harvey’s personal tax rate is 28% on all income including dividends. Ignore the fact that the cash flows occur at different times and the possibility of using an S-type corporation or an LLC for the first three years. SOLUTION: C-type Proprietor Pretax earnings $150,000 $150,000 Less: Corporate tax (34%) 51,000 —___ Earnings/dividend $ 99,000 $150,000 Less: Personal tax (28%) 27,720 42,000 Net $ 71,280 $108,000 The tax savings due to using the proprietor form is estimated at $36,720 per year for three years totaling $110,160. That’s considerably more than $80,000, so starting off as a proprietorship makes good financial sense. 3. Jill Meier is the sole owner of Meier Corp., which provides her only source of income. Jill has always paid herself entirely by drawing dividends from her corporation. A friend suggested that as long as she is earning about what she would have to pay someone else to run the business, she might be better off paying herself a salary instead of dividends, because she would avoid the problem of double taxation. If Jill’s company earns $120,000 all of which she will pay to herself, how much will she take home under each method. Assume a corporate tax rate of 30%, and a personal tax rate of 25% on both salary and dividend income. SOLUTION: Dividends Salary Income before payment to Jill $120.0 $120.0 Salary 120.0 Earnings before tax $120.0 $ 0.0 Corporate tax (30%) 36.0 $ 0.0 Earnings after corporate tax (paid as dividend) $ 84.0 $ 0.0 Tax on personal income (25%) $ 21.0 $30.0 Payment (salary or dividend) minus taxes $ 63.0 $90.0 CHAPTER 2 FINANCIAL BACKGROUND: A REVIEW OF ACCOUNTING, FINANCIAL STATEMENTS, AND TAXES FOCUS Most students have been exposed to accounting and taxes in prerequisite courses, but many don't recall the material well enough to tackle finance effectively. Chapter 2 provides a concise review of what they need to know in one convenient place. The material is presented in relatively non-numerical form although some computation is unavoidable. PEDAGOGY You may not want to spend much class time lecturing on accounting and tax material. An hour is generally enough to hit the highlights. Assigning the chapter as background reading followed by a quiz gets students warmed up and focused on financial concepts in preparation for the things to come. TEACHING OBJECTIVES 1. To reacquaint students with basic accounting concepts and procedures which they may have forgotten. 2. To develop an understanding of federal tax fundamentals, and the ability to calculate simple taxes. OUTLINE I. ACCOUNTING SYSTEMS AND FINANCIAL STATEMENTS A. The Nature of Financial Statements How accounting ideas such as "income" are different from everyday use of similar terms. B. The Accounting System A brief treatment of basic ideas including the double entry concept, accounting periods, closing the books, and stocks and flows. II. THE INCOME STATEMENT A line by line treatment of income, cost, and expense items along with subtotals such as Gross Margin and EBIT. III. THE BALANCE SHEET A. Presentation Format, the balance sheet identity, liquidity. B. Assets A brief description of the treatment of each asset item along with the risks it presents. E.g., overstatement of receivables. C. Liabilities An intuitive description of the nature of current liabilities, especially accruals. D. Equity The three equity accounts are explained along with the relationship between income, dividends, new stock sales and equity. IV. THE TAX ENVIRONMENT A. Taxing Authorities and Tax Bases Who can tax us, based on what. B. Income Taxes - The Total Effective Income Tax Rate State tax is deductible from federal tax. C. Progressive Tax Systems, Marginal and Average Rates Definitions, the current progressive system, the importance of the marginal rate for investment decisions. D. Ordinary Income and Capital Gains/Losses The nature of capital gains and losses, why the way they're taxed is important to investment, and the current status. V. INCOME TAX CALCULATIONS A. Personal Taxes Basic rules of exempt income, deductions and personal exemptions. Taxpayer classes and the tax tables. Examples: Choosing between corporate and municipal bonds. B. Corporate Taxes Defining taxable income, the corporate rate structure, the system favors debt financing, dividend exemptions between corporations, carry backs/forwards. QUESTIONS 1. Why does a financial professional working outside accounting need a knowledge of accounting principles and methods? ANSWER: Financial records are kept within accounting systems and results are formulated in accounting reports. Therefore, to understand transactions and the results of operations, one has to have at least a fundamental understanding of accounting principles. 2. Discuss the purpose of an accounting system and financial statements in terms of the way the system represents a business. ANSWER: Accounting is designed to provide a "picture" of operations in numerical terms. It does that with devices like depreciation which matches the cost of an asset with its service life regardless of the cash flows associated with its acquisition. The portrayal is conceptual in that it attempts to give a broader picture of the condition of a business than the immediate availability of funds. 3. Why is EBIT an important line item in the income statement? What does EBIT show us? ANSWER: Earnings before interest and taxes (EBIT) is the lowest line on the income statement that isn't affected by the firm's method of financing (the relative amounts of debt and equity used). It is important because it allows an evaluation of physical business operations separate from the influence of financing decisions. It is therefore often called operating income. 4. What is meant by liquidity in financial statements? ANSWER: In financial statements liquidity implies the ease with which assets can be converted into cash without substantial loss. With respect to liabilities it is related to the immediacy with which they require cash. 5. What are the common misstatements of balance sheet figures and why do they present a problem? ANSWER: Receivables are often overstated in that they contain uncollectible accounts. Inventories are overstated when items are carried at values that exceed what they're actually worth. Less frequently, payables omit legitimate liabilities of the company. Such misstatements represent a firm as being worth more than it actually is. That deceives investors and others interested in dealing with the company. 6. Do the definitions of current assets and current liabilities suggest a quick way of looking at the firm's ability to meet its financial obligations (pay its bills) over the near term? (Hint: Think in terms of ratios.) ANSWER: Current assets represent things that are expected to become cash within a year (inflows), while current liabilities require cash within a year (outflows). Being able to pay the bills means the inflows have to exceed the outflows in the short run. This suggests forming the ratio of current assets to current liabilities (called the current ratio). If that ratio exceeds 1.0, the firm should be able to pay its bills in the next year. 7. How are capital and working capital different? ANSWER: Capital refers to the money used to start businesses and acquire long-lived assets. Working capital refers to the money used to support day to day operations. We can therefore think of the two as differing with respect to time. Capital is long term and working capital is short term. 8. What is leverage and how does it work? What is the main concern about using it? ANSWER: Leverage refers to using borrowed (someone else's) money to support a business rather than the owner's own equity. Leverage can enhance financial results if the business earns more with the borrowed money than the interest cost of borrowing it. In that case leverage multiplies good financial results into better ones. The concern about using borrowed money is that interest has to be paid whether results are good or not. When a business earns less using borrowed money than the cost of borrowing it, leverage multiplies poor results into very poor results. 9. Define the term tax base and discuss common bases. What government units tax on each? What are these taxes commonly called? ANSWER: A tax base is the item or activity on which a tax is levied. The common bases are income, wealth, and consumption. Income taxes simply require the payment of a percentage of income to the government in every period, usually a year. Income is taxed by the federal government, most states, and a few cities (e.g. New York City). A wealth tax charges the owner of property a percentage of its value each year. The most common wealth tax is levied on real estate by cities and counties. A consumption tax charges users a percentage of the cost of products they consume. The most common consumption tax is a sales tax usually levied by states, counties, and cities. The federal government's consumption taxes are called excise taxes. 10. What is the total effective tax rate? ANSWER: The total effective tax rate is the combination of state and federal income tax rates. It is less than the sum of the two rates, because state tax is deductible from income for federal tax purposes. 11. What is taxable income for an individual? How does it differ from taxable income for a corporation? ANSWER: Taxable income for an individual is income less exempt or excluded items, less deductions and less personal exemptions. Taxable income for a corporation is revenue less excluded items less business costs and expenses. Personal exemptions don't exist for corporations. 12. What tax rate is important for investment decisions? Why? ANSWER: The marginal tax rate is the rate on the next (or last) dollar of income. It is important for investment decisions, because investments are generally made with "extra" income available after necessary expenses have been taken care of. Thus investment income is generally taxed at the taxpayer's marginal rate. 13. Why is the tax treatment of capital gains an important financial issue? ANSWER: Income on investments is usually received at least in part in the form of capital gains. Therefore, if the tax system treats capital gains favorably, investing becomes relatively more attractive. Since investing is the essence of finance, capital gains taxation plays a pivotal role in financial matters. 14. Is the corporate tax schedule progressive? Why or why not? ANSWER: Yes and no! Lower rates are charged on lower incomes so the system is progressive in that most basic sense. However, the benefits of the early lower rates are taken back through rate surcharges as income increases. That creates a rate structure that increases and then decreases which is contrary to the normal notion of a progressive system. 15. What are the tax implications of financing with debt versus equity? If financing with debt is better, why doesn't everyone finance almost entirely with debt? ANSWER: Financing with debt is cheaper than with equity because of the tax deductibility of interest. However, debt adds risk to businesses, so lenders tend to limit the amounts of capital they're willing to supply to companies. Those limits make it virtually impossible to finance entirely with debt. 16. Why are dividends paid from one corporation to another partially tax exempt? ANSWER: Fully taxing dividends paid by one corporation to another results in triple (and more) taxation of earnings which is more severe than the government's intent. 17. Explain the reasoning behind tax loss carry backs and carry forwards. ANSWER: If business losses could not offset profits in previous or subsequent periods, the tax system viewed over a period of years would tax companies with temporary losses at rates in excess of one hundred percent of profits. This clearly doesn't make sense, so the inter-year allocation of losses is allowed. PROBLEMS Writing Off a Large Uncollectable Receivable - Example 2-1, Page 32 1. Canaday Ltd. has the following receivables balances ($M) Gross Accounts Receivable $175 Bad Debt Reserve (3) Net Accounts Receivable $172 Two years ago a customer was approved for an unusually large credit sale of $7M over the objections of the credit and collections department. Shortly after the sale the customer’s business began to deteriorate due to an unexpected recession. To date it has paid only $2M against the order despite the fact that it has consumed all of the material purchased. The collections department has worked diligently to collect the remaining $5M without success. The customer filed for bankruptcy this morning with essentially no assets to pay a large number of creditors. Evaluate the financial statement impact of the bankruptcy on Canaday. Assume Canaday’s product cost is 40% of revenue and the bad debt reserve of $3M will be fully reestablished. SOLUTION: Gross receivables must be reduced by $5M. Using the entire reserve has the following immediate effect on the balance sheet: Gross Accounts Receivable $170 Bad Debt Reserve 0 Net Accounts Receivable $170 This year’s income statement earnings before tax are reduced by another ($5M – 3M =) $2M in bad debt expense. If the reserve is to be reinstated fairly quickly, another $3M profit reduction will be needed. The pretax profit on the uncollected portion of the sale two years ago was $5M x .6 = $3M The pretax loss due to the write off this year will be the full $5M. Selling a Fixed Asset - Example 2-2, Page 36 2. The Johnson Company bought a truck costing $24,000 two and a half years ago. The truck's estimated life was four years at the time of purchase. It was accounted for using straight line depreciation with zero salvage value. The truck was sold yesterday for $19,000. What taxable gain must be reported on the sale of the truck? SOLUTION: Yearly depreciation on the truck is $24,000 / 4 = $6,000 and depreciation for 2.5 years is $6,000 2.5 = $15,000 Therefore the truck's Net Book Value at the time of sale is $24,000 $15,000 = $9,000 This is the accounting cost of the sale, The taxable gain on the sale is: Sales price $19,000 Cost 9,000 Gain $10,000 3. If the Johnson Company of Problem 2 is subject to a marginal tax rate of 34%, what is the cash flow associated with the sale of the used truck? SOLUTION: Johnson will pay tax on the $10,000 profit on the sale at 34%. $10,000 .34 = $3,400. Cash flow is the sale proceeds of $19,000 less the tax paid. $19,000 $3,400 = $15,600. Note: The truck’s cost in the profit calculation in Problem 2 is its net book value on Johnson’s books. Although that figure is subtracted from the price received for the truck to calculate accounting profit, no cash was expended at the time of sale associated with that cost. Hence cash flow is just revenue minus tax. 4. Heald and Swenson Inc purchased a drill press for $850,000 one year and nine months ago. The asset has a six year life and has been depreciated according to the following accelerated schedule. Year 1 2 3 4 5 6 % of cost 55% 20% 10% 5% 5% 5% The press was just sold for $475,000. The firm’s marginal tax rate is 35% Calculate Heald and Swenson’s taxable profit and cash flow on the sale. Assume depreciation is spread evenly within each year. SOLUTION: First bring depreciation up to date as of the time of sale. Fifty five percent of the asset’s cost will have been recognized as depreciation in the first year. In the second year 9/12 x 20% = 15% will have been taken. This leaves a net book value of (100-55-15=) 30% of original cost at the time of the sale. NBV = $850,000 x .30 = $255,000 This is the asset’s cost for accounting and tax purposes, and Sales price $475,000 Cost ($255,000) Gain $220,000 Tax on the gain at 35% will be $220,000 .35 = $77,000, and cash flow is sale proceeds less tax. Cash flow = $475,000 $77,000 = $398,000. Problems 5 through 13 are numerical exercises intended to develop familiarity with financial statements without actually going through debit and credit accounting entries. They don’t follow specific examples in the text, but most provide guidance in the form of hints or instructions. 5. Fred Gowen opened Gowen Retail Sales as a sole proprietorship and recorded the following transactions during his first month in business: (1) Purchased $50,000 of fixed assets, putting 10% down and borrowing the remainder. (2) Sold 1,000 units of product at an average price of $45 each. Half of the sales were on credit, none of which had been collected as of the end of the month. (3) Recorded cost of goods sold of $21,000 related to the above sales (4) Purchased $30,000 worth of inventory and paid cash. (5) Incurred other expenses (including the interest from the loan) of $5,000, all of which were paid in cash. (6) Fred’s tax rate is 40%. (Taxes will be paid in a subsequent period.) a. What will the business report as net income for its first month of business? (Hint: Write out an income statement and enter revenue, cost, and expense, then calculate tax and net income.) b. List the flows of cash in and out of the business during the month. Show inflows as positives and outflows as negatives (using parentheses). Sum to arrive at a “Net Cash Flow” figure. c. Should Fred pay more attention to net income or cash flow? Why? SOLUTION: a. Net Income Sales $45,000 (1000 units @ $45) Cost of Goods Sold 21,000 Gross Margin 24,000 Other Expense 5,000 (Includes Interest Expense) EBT 19,000 Taxes 7,600 ($19,000 x 40%) Net Income 11,400 b. Cash Flows Purchase of Assets ($50,000) Proceeds from Loan 45,000 (90% of the asset purchase price) Cash from Sales 22,500 (One half of the sales) Purchase of Inventory ( 30,000) Other Expenses ( 5,000) Net Cash Flow ($17,500) c. Fred has to pay attention to both net income and cash flow. Net Income is important because it is an indication of the long term profitability of the business. It matches the revenues and expenses for the period and will help him understand whether he can sell his products at a profit in the long run. However, cash flow is equally important, because if a business can’t generate positive cash flows, it is destined to fail. It is not uncommon for a business to have negative cash flows early in its existence, even if it’s showing a positive net income. That’s one reason for doing a statement of cash flows like the one we’ll study in Chapter 3. 6. McFadden Corp. reports the following balances on their December 31, 20X2 Balance Sheet: ($000) Accounts Payable 60 Accounts Receivable 120 Accumulated Depreciation 350 Fixed Assets (Net) 900 Inventory 150 Long Term Debt 400 Paid in Excess 160 Retained Earnings 380 Total Assets 1,240 Total Liabilities 500 (long term debt + current liabilities) All of the remaining accounts are listed below. Calculate the balance in each. Accruals Cash Common Stock Fixed Assets (Gross) Total Current Assets Total Current Liabilities Total Equity SOLUTION: Assets ($000) Liabilities & Equity ($000) Cash $ 70 Account Payable $ 60 Accounts Receivable 120 Accruals 40 Inventory 150 Total Current Liabilities 100 Total Current Assets 340 Long Term Debt 400 Fixed Assets (Gross) 1,250 Accumulated Depreciation (350) Common Stock 200 Fixed Assets (Net) 900 Paid In Excess 160 Retained Earnings 380 Total Assets $1,240 Total Equity 740 Total Liabilities & Equity $1,240 7. Consider the Current Asset accounts (Cash, Accounts Receivable and Inventory) individually and as a group. What impact will the following transactions have on each account and current assets in total (Increase, Decrease, No Change)? (Hint: Each transaction has two sides that are equal in amount but opposite in sign. Consider whether the sides offset within current assets or one side is recorded somewhere else.) a. The purchase of a fixed asset for cash b. The purchase of a fixed asset on credit c. The purchase of inventory for cash d. The purchase of inventory on credit e. Customer payment of an account receivable f. Writing off a customer’s bad debt (assume bad debt reserve > write off) g. The sale of a fixed asset for cash h. The sale of inventory (at a profit) for cash i. The sale of inventory (at a loss) for cash j. The sale of inventory (at a profit) on credit SOLUTION: Cash Accounts Receivable Inventory Total Current Assets a. Decrease NC NC Decrease b. NC NC NC NC c. Decrease NC Increase NC d. NC NC Increase Increase e. Increase Decrease NC NC f. NC NC NC NC g. Increase NC NC Increase h. Increase NC Decrease Increase i. Increase NC Decrease Decrease j. NC Increase Decrease Increase 8. On January 1, 20X2, Miller Corp. purchased a milling machine for $400,000. It will be depreciated on a straight line basis over 20 years. On January 1, 20X3, Miller purchased a heavy duty lathe for $250,000 which will be depreciated on a straight line basis over 40 years. a. Compute Miller’s depreciation expense for 20X2, 20X3 and 20X4. b. Prepare the Fixed Asset portion of the balance sheet (for these two fixed assets) as of the end of 20X2, 20X3 and 20X4. (Hint: Subtract accumulated depreciation in each year from total original cost. See page XX) SOLUTION: a. Depreciation Expense Depreciation on the milling machine: $400,000/20 years = $20,000/year Depreciation on the lathe $250,000/40 years = $ 6,250/year X3 X4 X5 MM 20,000 20,000 20,000 Lathe 6,250 6,250 Depreciation 20,000 26,250 26,250 Accum Depr 20,000 46,250 72,500 b. Fixed Assets (Gross) $400,000 $650,000 $650,000 Accumulated Depreciation 20,000 46,250 72,500 Fixed Assets (Net) $380,000 $603,750 $577,500 9. Becher Industries has three suppliers for its raw materials for manufacturing. The firm purchases $180 million per year from Johnson Corp. and normally takes 30 days to pay these bills. Belcher also purchases $150 million per year from Jensen, Inc. and normally pays Jensen in 45 days. Belcher’s third supplier, Docking Distributors, offers 2/10, n. 30 terms. Becher takes advantage of the discount on the $90 million per year that it typically purchases from Docking. Calculate Becher’s expected Accounts Payable balance. (Use a 360-day year for your calculations. For example calculate Johnson’s account as $180M x 30/360.) SOLUTION: These problems assume that purchases are made evenly across the year. Therefore, at any point in time, Becher will have 30/360ths of its annual purchases from Johnson in its accounts receivable balance; 45/360ths of its annual purchases from Jensen in its accounts receivable balance and 10/360ths (excluding any adjustment for treatment of the discount) of its annual purchases from Docking in its account receivable balance. Therefore, we would expect the balance to be: $180,000,000 x 30/360 = $15,000,000 $150,000,000 x 45/360 = $18,750,000 $ 90,000,000 x 10/360 = $ 2,500,000 Total Accounts Receivable $36,250,000 10. Belvedere Inc. has an annual payroll of $52 million. The firm pays employees every two weeks on Friday afternoon. Last month, the books were closed on the Tuesday after payday. How much is the payroll accrual at the end of the month? (See page XX.) SOLUTION: Two days of the pay period belong in the month just closed, so the accrual is 2/5 of one week's payroll: 2/5 $1,000,000 = $400,000. 11. Sanderson Metals Inc. accrues four liability items: payroll, employee vacation that has been earned but not used, property taxes, and inventory that arrives at its factory dock before an invoice is received from the vendor. Payroll: Sanderson pays its employees every other Friday for work performed through that day. The annual payroll is $47 million. Property tax: The firm pays the local government $3.6 million per year in property taxes on its factory and office buildings. The tax is paid in arrears* on June 30 at the end of the county’s fiscal year**. The firm accrues a liability each month to reflect the fact that it owes the county property tax through that date. Vacation: Sanderson’s employees get three weeks (15 work days) of vacation each year, which is earned at a rate of (15÷12 =) 1.25 days per month worked. No vacation can be carried over year end, but an employee can take the current year’s vacation before it is actually earned. There are 250 work days each year. The vacation accrual reflects that pay for vacation days earned but not used is a liability of the company. Inventory: The accounting department uses vendor (supplier) invoices combined with receiving documents to enter new inventory on the company’s books. However, inventory often arrives a few days before the associated invoice is received. The approximate value of material in this received but unbilled status is accrued to reflect that the company is in possession of the goods and has a liability to pay for them. Sanderson is currently closing the books on April 20X8. The last day of the month was seven days after a payday. Through the end of April employees had taken $587,000 of paid vacation time. Five railroad carloads of steel arrived in the last week of April but invoices for only three of those shipments have been received. An average carload shipment costs $107,000. All prior receipts have been invoiced. Calculate Sanderson’s April month end accruals balance. (Hint: Some accruals, like payroll and inventory, clear a few days after month end. Others, like property tax, build up steadily until cleared at the end of a period like the county’s fiscal year. Still others, like vacation, are increased steadily and are decreased when some activity occurs, such as people going on vacation.) *A property tax bill paid in arrears is due at the end of the period during which the liability is incurred. The liability for the bill, however, comes from owning the property as time passes. Hence, as each month of the tax year goes by, the company’s property tax liability increases by 1/12 of the annual bill until it is paid at the end of the fiscal year. **A fiscal year is an organization’s year for accounting purposes. Many companies and most government units use fiscal years that don’t coincide with calendar years. Sanderson’s books are kept on a calendar year. SOLUTION: a. Payroll: 7 days is 1.4 weeks (1.4 / 52) × $47,000,000 = $1,265,385 Property tax: Monthly accrual ($3,600,000 / 12) = $300,000 April balance: $300,000 x 4 = $1,200,000 Vacation accrual: Vacation accrual per month: (1.25 / 250) x $47,000,000 = $235,000 April accrual year to date $235,000 x 4 = $940,000 Less vacation taken (587,000) April balance $ 353,000 Inventory: 2 truckloads @ $107,000 = $ 214,000 April accrual balance $3,032,385 12. In January, 20X3, Elliott Industries recorded the following transactions: (1) Paid bills from 20X2 totaling $120,000 and collected $150,000 for sales that were made in 20X2. (2) Purchased inventory on credit totaling $500,000, 30% of which remain unpaid at the end of January (3) Sold $400,000 of inventory on credit for $600,000. 20% of those sales remained uncollected at the end of the month. (4) Accruals increased by $10,000 during the month. (5) Additional cash payments were made for expenses incurred during the month of totaling $80,000. Compute the change in Elliott’s working capital for the month of January, 20X3. (Hint: Each transaction has offsetting entries(sides) that sum to zero. If all of the entries are to current accounts, there is no impact on working capital. But if one side is somewhere else, working capital will change.) SOLUTION: (1) These transactions will have no net impact on working capital. Paying bills from a previous period will reduce cash and accounts payable by an equal amount. Collecting accounts receivable will cause cash to increase and accounts receivable to decrease by the same amount. (2) This transaction will have no net impact on net working capital. Inventory will increase by $500,000, cash will decrease by $350,000 (70% of the purchases) and accounts payable will increase by $150,000 (30% of the purchases) (3) This transaction will increase net working capital by $200,000. Inventory will decrease by $400,000, cash will increase by $480,000 (80% of sales) and accounts receivable will increase by $120,000 (20% of sales). (4) This will cause net working capital to decrease by $10,000 (5) Since these expenses were incurred and paid during the month, there will be no net impact on accounts payable. Therefore, the only effect on net working capital will be a $80,000 decrease in cash. Total Impact (3) $200,000 increase (4) $ 10,000 decrease (5) $ 80,000 decrease $110,000 increase is the total change in net working capital 13. The Glavits Company opened for business on Monday, June 1, with inventory of $5,000 and cash in the bank of $7,000. These were its only assets. All start-up financing was provided from the owner's personal funds, and there were no other liabilities. The firm has a line of credit at the bank that enables it to borrow up to $20,000 by writing overdraft checks on its account. Glavits' terms of sale are net 30, but the new firm must pay its suppliers in 10 days. Employees are the company's only expense. They're paid a total of $1,000 per week each Friday afternoon for the week just ending. On June 3, the company made a sale of $9,000 out of inventory with a cost of $3,000. On June 10 it received $2,000 of new inventory. There were no other sales or inventory receipts. The company bought a delivery truck paying with a $10,000 check on June 30. The books were closed for the month on Tuesday June 30. Construct Glavits' income statement and balance sheet for June using the worksheet shown. Ignore taxes for this problem. First enter the beginning balance sheet. Next enter one number two times in each column to reflect the transaction indicated at the top of the column. Note that sometimes the numbers will be additions and sometimes they will be subtractions. Finally add across the page to get the statements for June. Worksheet Rows Worksheet Columns 1. BALANCE SHEET 1. Opening Balance Sheet 2. Assets 2. Record Sales 3. Cash 3. Record Cost of Sale 4. Accts. Receivable 4. Receive Inventory 5. Inventory 5. Pay for Inventory 6. Fixed Assets (net) 6. Buy Truck 7. Total Assets 7. Pay Employees-1st 4 weeks 8. Skip 8. Pay Employees-Last 2 days 9. Liabilities 9. Reclassify cash overdraft as loan 10. Accts. Payable 10. Record Net Income as Income and Equity 11. Accruals 11. Skip 12. Debt 12. June Statements 13. Equity 14. Total Liab. & Equities 15. Skip 16. INCOME STATEMENT 17. Sales 18. Cost 19. Expense 20. Net Income SOLUTION: (1) Opening Balance Sheet (2) Sales (3) COGS (4) Receive Inventory BALANCE SHEET Assets Cash $7,000 Accounts Receivable $9,000 Inventory $5,000 ($3,000) $2,000 Fixed Assets (net) Total Assets $12,000 Liabilities Accounts Payable $2,000 Accruals Debt Equity $12,000 Total Liability & Equity $12,000 INCOME STATEMENT Sales $9,000 Cost $3,000 Expense Net Income (5) Pay for Inventory (6) Buy Truck (7) Pay Employees 4 weeks (8) Pay Employees Last 2 days BALANCE SHEET Assets Cash ($2,000) ($6,000) ($4,000) Accounts Receivable Inventory Fixed Assets (net) $6,000 Total Assets Liabilities Accounts Payable ($2,000) Accruals $400 Debt Equity Total Liability and Equity INCOME STATEMENT Sales Cost Expense $4,000 $400 Net Income (9) Reclassify Overdraft as Loan (10) Record Profit as Net Income & Equity (11) June Statements BALANCE SHEET Assets Cash $5,000 -0- Accounts Receivable $9,000 Inventory $4,000 Fixed Assets (net) $6,000 Total Assets $19,000 Liabilities Accounts Payable -0- Accruals $400 Debt $5,000 $5,000 Equity $1,600 $13,600 Total Liability & Equity $19,000 INCOME STATEMENT Sales $9,000 Cost $3,000 Expense $4,400 Net Income $1,600 $1,600 Leverage – Example 2-3, Page 39 14. Jacob Cornwall has a business in which he’s invested $250,000 of his own money, which is the firm’s only capital. (There are no other equity investors and no debt.) In a recent year the firm had net income of $20,000 for a return on equity of 8% ($20,000/$250,000). What will the firm’s return on equity be next year if net income from business operations remains the same but it borrows $150,000 returning the same amount to Jake from the equity account if a. The after tax interest rate is 6%. b. The after tax interest rate is 10%. c. Comment on the difference between the results of a and b. SOLUTION: a., b. Leveraged All Equity 6% 10% Earnings $ 20,000 $ 20,000 $20,000 Interest (after tax) — $ 9,000 15,000 Net Income $ 20,000 $ 11,000 $ 5,000 Debt — $150,000 $150,000 Equity $250,000 100,000 100,000 Total capital $250,000 $250,000 $250,000 Return* 8% 11% 5% *Net Income/Equity = $20/$250 $11/$100 $5/$100 c. Leverage works both ways. It improves ROE if the firm’s underlying return on capital is higher than the rate it pays for borrowed money. This is the case when the interest rate is 6%. But if debt costs more than the company earns with the borrowed money, as in part b., leverage makes ROE worse. 15. Gatwick Ltd. has after tax profits (net income) of $500,000 and no debt. The owners have a $6 million investment in the business. If they borrow $2 million at 10% and use it to retire stock, how will the return on their investment (equity) change if earnings before interest and taxes remains the same? Assume a flat 40% tax rate and that the loan reduces equity dollar for dollar. A business owner’s return on investment or equity is ROI=ROE=Net Income/Equity. SOLUTION: Gatwick's original return on invested equity is its after-tax earnings divided by the equity: $500,000 / $6,000,000 = 8.3% Borrowing $2M to retire stock will change the invested equity to $4M. At the same time, the new debt will generate interest of (10% of $2M) $200,000 which will reduce profit. However the after-tax profit reduction is less than that amount because of the taxes saved due to the interest paid. The tax saving is $200,000 .40 = $80,000 so the profit reduction due to paying interest is $200,000 $80,000 = $120,000, and the new profit level will be $500,000 $120,000 = $380,000. Then the new return on invested equity will be $380,000 / $4,000,000 = 9.5%. Notice that borrowing has levered up the return on equity. See the illustration of the equity accounts on page XX for problem 16-19. 16. Declan Ross wants to sell his business. The firm has no debt and earns an 8% return (ROE) on equity of $150,000. The business can borrow at an after tax rate of 5%. A consultant has advised that the business will be worth more if its financial statements show a higher return on equity (ROE = net income / equity). Unfortunately an increase in profitability isn’t feasible. The consultant also says that leverage can sometimes be used to improve ROE, and that since the firm earns a higher return (8%) than the after tax loan rate (5%), borrowing money to reduce equity will increase ROE. How much will Declan have to borrow to raise his firm’s ROE to 12%? (Hint: First calculate net income using the definition of ROE. Then assume Declan borrows $50,000 reducing equity by the same amount. Recalculate net income and ROE. Repeat with different debt amounts until ROE is close to 12%.) SOLUTION: First find the firm’s current net income ROE = Net Income / Equity .08 = Net Income / $150,000 Net Income = $12,000 A debt of D will reduce equity by D and reduce net income by .05D. Begin by evaluating the effect of borrowing $50,000. Equity = $150,000 - $50,000 = $100,000 Net Income = $12,000 - .05D = $12,000 - .05($50,000) = $12,000 - $2,500 = $9,500 Then ROE = $9,500 / $100,000 = .095 = 9.5% So borrowing $50,000 has raised ROE but not enough. We try other values of D searching for a 12% return until we arrive at approximately $86,000 at which Equity = $150,000 - $86,000 = $64,000 and Net Income = $12,000 - .05($86,000) = $7,700 So ROE = $7,700 / $64,000 = .1203 = 12.0% Hence Declan must borrow approximately $86,000. An alternate algebraic solution is as follows: (1) Net Income = $12,000 - .05D (2) ROE = Net Income / ($150,000 – D) Substitute (1) into (2) and set ROE = 12% .12 = ($12,000 - 05D) / ($150,000 – D) Then solve for D to get $85,714 from which Equity = $150,000 - $85714 = $64,286. Then Net Income = $12,000 - 05D = $12,000 - .05($85,714) = $7,714.3, and ROE = $7,7143 / $64286 = 12.00% See the illustration of the equity accounts and their beginning/ending relationships on page 41 for problems 17 – 19. 17. During the last year Alpha Co had Net Income of $150, paid $20 in dividends, and sold new stock for $40. Beginning equity for the year was $700. Calculate ending equity. SOLUTION: Ending Equity = Beginning Equity + Net Income – Dividends + New Stock = $700 + $150 - $20 + $40 = $870 18. Mints Entertainment, Inc. had Net Income of $170,000 and paid dividends of $0.25 per share on its 100,000 shares of outstanding stock this year. At the end of the year its balance sheet showed retained earnings of $250,000. What was Mints’ retained earnings balance at the end of last year? SOLUTION: This year’s ending Retained Earnings = $250,000 Less this year’s Net Income (170,000) Plus this year’s dividends (100,000 x $.25=) + 25,000 Last year’s ending Retained Earnings = $105,000 19. Preston Road Inc. was organized was organized last year when its founders contributed $9 million and issued 3 million shares of $1.25 par value stock. The company earned $750,000 in its first year and paid dividends of $325,000. Construct the equity section of Preston Road’s balance sheet as of the end of that year. SOLUTION: Initially Common stock (3M shrs @ $1.25 par) $3,750,000 Paid in Excess ($9M - $3.75M) 5,250,000 Total Equity $9,000,000 Note: paid in excess can also be calculated as share price ($9M/3Mshrs = $3.00) minus par times the number of shares issued. ($3.00 - $1.25) x 3M = $1.75 x 3M = $5,250,000 At The End Of The First Year Add retained earnings of $750,000 $325,000 = $425,000 Then: Common stock (3M shrs @ $1.25 par) $3,750,000 Paid in Excess 5,250,000 Retained Earnings 425,000 Total Equity $9,425,000 20. The Digital Systems Company was organized two years ago to take advantage of an internet opportunity. Investors paid $12 a share for 2 million shares with a $4 par value. In the next two years the company had earnings of $2 million and $3 million respectively. It paid dividends of $1.2 million and $1.3 million respectively in those years. At the end of the first year Digital sold another 500,000 shares of stock at $14 per share. Construct the equity section of Digital’s balance sheet initially and at the end of its first and second years in business. SOLUTION: Initially Common stock (2M shrs @ $4 par) $ 8,000,000 Paid in Excess (2M shrs @ $8) 16,000,000 Total Equity $24,000,000 At The End Of The First Year Add to common stock .5M shrs $4 par = $2M Add to Paid in Excess .5M shrs $10 = $5M Add retained earnings of $2M $1.2M = $0.8M Common stock (2.5M shrs @ $4 par) $10,000,000 Paid in Excess 21,000,000 Retained Earnings 800,000 Total Equity $31,800,000 At The End Of The Second Year Add retained earnings of $3M $1.3M = $1.7M Common stock (2.5M shrs @ $4 par) $10,000,000 Paid in Excess 21,000,000 Retained Earnings 2,500,000 Total Equity $33,500,000 TAXES 21. The Coolidge family has taxable income of $165,000. They live in a state in which income over $100,000 is taxed at 11%. What is their total effective (marginal) tax rate? (Hint: Use Equation 2.1 on page 43 and Table 2-4 on page 47.) SOLUTION: Write Equation (2-1) and substitute from the problem noticing that the Coolidge's marginal tax rate is 28% from Table 2-4. TETR = Tf + Ts (1 Tf) = .28 + .11 (1 .28) = 35.9% 22. Use the following tax brackets for taxable income: Bracket Tax Rate $0 - $10,000 15% $10,000 - $50,000 25% $50,000 - $250,000 30% over $250,000 35% Compute the average tax rate for the following taxable income amounts (see page XX): (a) $20,000 (b) $125,000 (c) $350,000 (d) $1,000,000 SOLUTION: a. ($10,000 x .15) + ($10,000 x .25) = $4,000; $4,000/$20,000 = 20.0% b. ($10,000 x .15) + ($40,000 x .25) + ($75.000 x .30) = $34,000; $34,000/$125,000 = 27.2% c. ($10,000 x .15) + ($40,000 x .25) + ($200.000 x .30) + ($100,000 x .35) = $106,500; $106,500/$350,000 = 30.4% d. ($10,000 x .15) + ($40,000 x .25) + ($200.000 x .30) + ($750,000 x .35) = $334,000; $334,000/$1,000,000 = 33.4% 23. Joan Petros reported taxable income in 20X2 of $150,000 which included the following transactions: (1) In June, 20X2, Joan sold 100 shares of stock for $40 per share. She had purchased them three months earlier for $35 per share. (2) In October, 20X2, Joan sold 200 shares of stock for $79 per share. She had purchased them three years earlier for $61 per share. Joan had no dividend income in 20X2. If long-term capital gains are taxed at 15%, and all ordinary income is taxed at 25%, what is Joan’s tax liability for 20X2? SOLUTION: The shares sold in (1). generate a short-term capital gain which is taxable as ordinary income. Therefore, the only transaction for which Joan received favorable treatment is (2), which is a long-term capital gain taxed at 15%. Tax on Gain from (2). : ($79 - $61) x 200 = $3,600 x .15 = $540 Tax on ordinary income: ($150,000 - $3,600) x .25 = $36,600 Total Tax Liability: $36,600 + $540 = $37,140 Calculating Personal Taxes – Example 2-4, Page 48 24. The Lindscomb family had the following income in 2015: Salaries: Mark $63,500 Ashley 57,900 Interest on investments: IBM bonds $ 4,750 New York City bond 1,400 Savings account 2,600 The family made home mortgage payments that included interest of $16,480, and paid real estate (property) tax of $4,320 on the home. They also paid state income tax of $5,860 and donated $1,250 to well-known charities. The Lindscombs have three dependent children. a. Calculate the family’s federally taxable income. b. What is their tax liability assuming they file jointly as a married couple c. What are their average and marginal tax rates? SOLUTION: a. First calculate income excluding interest on the exempt New York City bond. Salaries $121,400 Interest 7,350 $128,750 Next calculate itemized deductions: Mortgage Interest $16,480 Local Tax: Property 4,320 State Income 5,860 Charitable contributions 1,250 Total Itemized Deductions $27,910 Then calculate personal and dependency exemptions for five people: $4,000 x 5 = $20,000 Taxable income is then income excluding exempt items less deductions and exemptions: Income $128,750 Deductions (27,910) Exemptions (20,000) Taxable Income $ 80,840 b. Apply the tax schedule for married couples filing jointly from table 2.4 noticing that the family is in the third or 25% bracket: $18,450 × .10 = $ 1,845 ($74,900 - $18,450) x .15 = $56,450 × .15 = 8,468 ($80,840 - $74,900) x .25 = $5,940 × .25 = 1,485 Tax liability $11,798 c. Average tax rate = tax liability / taxable income = $11,798 / $80,840 = 14.6% Marginal tax rate = bracket rate = 25% 25. The Benjamin family had wage earnings of $185,000 in 2015. They received interest of $4,500 on corporate bonds and $1,500 on bonds issued by the state. Their dividend income was $500, and they had a $1,000 long term capital gain on the sale of securities. They paid real estate taxes of $1,450, state income tax of $3,000, and donated $550 to their church. They paid interest of $8,000 on their home mortgage. They have one dependent child. What was their tax liability for 2015? SOLUTION: Ordinary Income Wages $185,000 Interest (exclude state bond) 4,500 Total $189,500 Deductions Home mortgage interest $ 8,000 Real estate tax 1,450 State income tax 3,000 Donations 550 Total $13,000 Exemptions 3 x $4,000 = $12,000 Ordinary taxable income $164,500 Tax on ordinary income .10 x $18,450 = $ 1,845 .15 x ($74,900 - $18,450) = .15 x $56,450 = $ 8,468 .25 x ($151,200 - $74,900) = .25 x $76,300 = $19,075 .28 x ($164,500 – $151,200) = .28 x $13,300 = $ 3,724 Total $31,267 Capital gains tax @ 15% .15 x $1,000 = $ 150 Tax on dividends @ 15% .15 x $500 = $ 75 Total Tax Liability $31,267 + $150 + $75 = $31,492 26. Joan and Harry Leahy both had income in 2015. Harry made $72,500 in wages. Joan has an incorporated small business that paid her a salary of $50,000. In addition, the business had profits of $15,000, which were paid to the Leahys as dividends. They received $5,600 in interest on savings and $350 in interest on a loan made to Harry's brother Lou. Lou also repaid $2,000 of principal on that loan during the year. The couple had interest income from two bonds, $2,200 on a 20-year IBM issue, and $2,700 on a State of Michigan revenue bond. They sold some Biotech stock for $14,000 that had been purchased five years before for $4,000. Two years ago they invested $50,000 in some rural land on the advice of a real estate agent. They sold the property in 2015 for $46,000. The Leahys paid $12,500 in mortgage payments of which $9,000 was interest and the rest reduced principal. They paid real estate taxes of $2,750 and state income tax of $6,800 during the year. They contributed $1,500 to their church and $3,000 to the support of Joan's elderly mother. They have two young children. (Joan’s mother is not a dependent.) a. Calculate the Leahy's taxable income. b. What is their tax liability for 2015? c. What is their average tax rate? d. What is their marginal tax rate? Can there be more than one marginal rate? Explain. SOLUTION: First enumerate the items of income omitting the exempt interest from the Michigan (municipal) bond a. Wages: Harry $ 72,500 Joan 50,000 $122,500 Business profits (dividend) $ 15,000 Interest: Savings $5,600 Brother Lou 350 (Notice that interest on the Michigan IBM 2,200 $ 8,150 bond is not included.) Capital gain/(loss): Biotech $10,000 Real Estate (4,000) $ 6,000 Income $151,650 Next list deductions from income noticing that principal repayment on the mortgage is not deductible. Likewise the payment to Joan's mother isn't deductible. Mortgage interest $9,000 Real Estate tax 2,750 State Income tax 6,800 Charitable contributions 1,500 $20,050 Finally calculate exemptions at $3,800 for each person in the household. $4,000 4 = $16,000 Then taxable income is income less deductions and exemptions. $151,650 $20,050 $16,000 = $115,600 b. To calculate the tax liability we have to recognize that $6,000 of the Leahy's taxable income is from long-term capital gains, which are subject to a maximum tax rate of 15 percent. Similarly the $15,000 dividend is taxable at only 15%. Their ordinary taxable income excluding capital gains and dividends is $115,600 – $6,000 - $15,000 = $94,600 Applying Table 2-4 gives the tax liability on this income of $18,450 .10 = $ 1,845 ($74,900-$18,450) .15 = $ 8,468 ($94,600-$74,900) x .25 = $ 4,925 $15,238 The tax on the capital gain is $6,000 .15 = $900 and the tax on the dividend is $15,000 x .15 = $2,250 Hence, the total tax liability is $15,238 + $900 + $2,250 = $18,388 c. The average tax rate is just the tax liability divided by taxable income: Including capital gains and dividends = $18,388/$115,600 = 15.9% Not including capital gains and dividends = $15,238/$94,600 = 16.1% d. Notice that there are actually two marginal rates, one for ordinary income (25%) and one for long-term capital gains and dividends (15%). Hence the correct marginal rate for financial decisions would depend on the type of investment income under consideration. Comparing Taxable and Tax Exempt Returns – Example 2-5, Page 50 27. Harry Swartz wants to invest in a bond and has narrowed his choices down to two issues. The first is offered by Microsoft Corp. and pays an interest rate of 8%. The second option is offered by the city of Springfield, Massachusetts, and offers a return of 6%. Harry feels that the risk levels inherent in the two bonds are similar. The both mature in ten years. Harry is single, has taxable income of $125,000 in 201 and lives in a state that has no personal income tax. Which bond should Harry choose? SOLUTION: First consult the 2015 tax schedule for single individuals in Table 2.4 and observe that Harry is in the 28% federal tax bracket. The bracket rate is also his marginal tax rate which is relevant for investment decisions. The Microsoft bond pays 8%, but Harry will keep only 5.76% after taxes calculated as follows 8% x (1 - .28) = 8% x .72 = 5.76% Which is less than the Springfield bond’s tax exempt return of 6%. Hence Harry is better off with the municipal bond. 28. Dick Dowen is considering three investment opportunities: (1) A 4.5% City of Chicago bond that is tax exempt at both the state and federal level. (2) A 4.75% State of Illinois bond that is tax exempt at the federal level but taxable at the state level. (3) A 6.7% McDonald’s bond that is taxable at both the state and federal level. (Hint: Use the TETR.) If the Illinois state tax rate is 6% and Dick’s marginal federal tax rate is 30%, which investment yields the highest after-tax return? SOLUTION: (1) Since there is no tax on the City of Chicago bond, the after-tax return is 4.5% (2) The State of Illinois bond, taxable only at the federal level, has an after-tax return of 6.35% x (1 - .3) = 4.445%. (3) For the McDonald’s bond first calculate the total effective tax rate (TETR) TETR = Tf + Ts (1 – Tf) TETR = .30 + .06(1-.30) = .30 + .042 = .342 Then: Bond yield after tax = 6.7 (1 - .342) = 6.7 (.658) = 4.4086% Hence, the return on the City of Chicago bond is highest by a very slim margin. Corporate Income Taxes – Example 2-6, Page 53 29. Calculate the corporate tax on earnings before tax (EBT) of the following amounts a. $37,000 b. $57,000 c. $88,500 d. $110,000 e. $5,375,000 f. $14,000,000 g. $17,350,000 h. $23,500,000 SOLUTION: a. $37,000 x .15 = $5,550 b. $50,000 x .15 = $7,500 7,000 x .25 = 1,750 $9,250 c $50,000 x .15 = $7,500 25,000 x .25 = 6,250 13,500 x .34 = 4,590 $18,340 d. $50,000 x .15 = $ 7,500 25,000 x .25 = 6,250 25,000 x .34 = 8,500 10,000 x .39 = 3,900 $26,150 e. $5,375,000 x .34 = $1,827,500 (See Example 2.6b) f. $10,000,000 x .34 = $3,400,000 4,000,000 x .35 = 1,400,000 $4,800,000 g. $10,000,000 x .34 = $3,400,000 5,000,000 x .35 = 1,750,000 2,350,000 x .38 = 893,000 $6,043,000 h. $23,500,000 x .35 = $8,225,000 (See Example 2.6d) 30. Ed Fletcher is planning to start a business that requires an investment of $500,000. He has that much money, but can also borrow virtually the whole amount from a rich relative. (This is very unusual.) Ed feels that after the business is started, it will be important to retain as much money in the company as possible to fund growth. Nevertheless, he plans to pay the investor, either himself or his relative, a $50,000 return (10% of the amount invested) each year. That’s about as much as could be earned elsewhere. Considering cash retention only, should Ed borrow or invest his own money ? That is, which option will result in keeping more money in the company available to grow the business? How much more? The company’s total effective tax rate will be 40%. (Hint: See Taxes and Financing, page XX.) SOLUTION: Ed should borrow because an interest payment to his relative will be tax deductible while a dividend payment to himself will not. Hence the firm will retain tax savings of $50,000 x .40 = $20,000 each year by using debt as opposed to equity financing. 31. Microchip Inc had the following profits and losses in the years indicated 2013 $5,000,000 2014 $ 350,000 2015 ($3,450,000) How much federal tax will it eventually pay for 2013. The corporate rate schedule is the same for all three years. SOLUTION: The entire 2015 loss can be carried back to 2013. Then 2013 EBT = $5,000,000 - $3,450,000 = $1,550,000 And from the tax table the tax is $1,550,000 x .34 = $527,000 It’s worth noting that there isn’t a choice as to the years in which the loss can be applied. A firm in Microchip’s situation must apply the loss as far back as the law allows and then work its way forward until the loss is exhausted. 32. Inky Inc. reported the following financial information in 2015. Operating income (EBIT) $650,000 Interest $430,000 Dividends from Printers Inc. not included in operating income (Inky owns 3% of Printers) $20,000 Dividends paid to Inky’s stockholders $50,000 a. What is Inky’s tax liability? (Use the corporate tax schedule on page XX.) b. What is Inky’s marginal tax rate? c. What is Inky’s average tax rate? d. Explain why only one of the rates in b and c is relevant for financial decisions? SOLUTION: a. First calculate Inky’s EBT (taxable income): Operating Income (excl Printers dividend) $ 650,000 30% of Printers dividend 6,000 EBIT $ 656,000 Interest (430,000) EBT $ 226,000 Then calculate Inky’s tax liability using the corporate schedule: $50,000 x .15 = $ 7500 $25,000 x .25 = $ 6250 $25,000 x .34 = $ 8,500 $126,000 x .38 = $47,880 Tax liability = $71,130 Note: Dividends to Inky’s stockholders don’t enter the calculations because they’re paid from after tax income. b. The marginal tax rate is the rate paid on the next dollar of taxable income which is generally the bracket rate, 38% in Inky’s case. c. The average tax rate = Tax liability/EBT = $71,130/226,000 = 31.0% d. The marginal tax rate is relevant in financial decisions involving incremental income because such income is generally taxed at that rate. 33. The Snyder Company had the following income and expense items: Sales $180,870,000 Cost $110,450,000 Expenses $65,560,000 In addition, it received both interest and dividends from the Bevins Corp., of which it owns 30%. The interest received from Bevins was $2,430,000 and the dividends were $4,700,000. Calculate Snyder's tax liability. SOLUTION: Snyder's taxable income is revenue less costs and expenses plus the interest and dividends from Bevins. However the dividends are 80% exempt because of Snyders 30% ownership of Bevins. Hence only 20% are included in the calculation. Sales $180,870,000 Cost 110,450,000 Expense 65,560,000 $ 4,860,000 Plus: Interest 2,430,000 Dividends ($4.7M 20%) 940,000 Taxable income $8,230,000 Applying Table 2-5 gives the tax liability. $50,000 .15 = $ 7,500 ($75,000 $50,000) .25 = $ 6,250 ($100,000 $75,000) .34 = $ 8,500 ($335,000 $100,000) .39 = $ 91,650 ($8,230,000 $335,000) .34 = $2,684,300 $ 2,798,200 COMPUTER PROBLEMS 34. Rachel and Harry are planning to get married. Both have successful careers and expect to earn the following this year. Rachel Harry Salary $155,380 $146,200 Interest Income (taxable) 6,750 45,325 Capital gain/(loss) 5,798 - Total Income $167,928 $191,525 Itemized deductions $ 28,763 $ 15,271 a. Use the PERSTAX program to calculate their total tax bill as single individuals and determine whether getting married will cost or save them money and how much. Assume that getting married during a year subjects the entire year's income to the married filing jointly rate schedule. Assume there are no state taxes. b. Duncan and Angela are also considering getting married, but have considerably lower incomes. Duncan Angela Salary $56,450 $37,829 Itemized deductions $ 6,048 $ 3,224 What will it cost or save them to get married? SOLUTION: a. Rachel Harry Together Married Tax $30,910 $42,102 $73,012 $78,457 Tax cost to marry $5,445 b. Duncan Angela Together Married Tax $7,876 $4,226 $12,102 $11,802 Tax saving to marry 300 35. You've been hired by the nation of Utopia to computerize its approach to calculating taxes. Utopia's progressive tax system contains only two brackets, which are applicable to all households. These are as follows: Income Rate Under $30,000 20% Over $30,000 30% The treatment of personal exemptions and itemized deductions is similar to the U.S. system, but the exemption amount is permanently fixed at $2,550 per person. There is no special consideration given to capital gains and loses or dividends. Write a spreadsheet program to compute taxes for a typical Utopian household. Test your program with the following cases. Income $28,950 $96,250 # people 1 5 Deductions $2,800 $14,457 Verify that your program works by calculating the Utopian taxes manually. (Hint: use a single conditional instruction (IF statement) to identify which bracket the taxpayer is in and make the tax calculation.) SOLUTION: Income $28,950 $96,250 Less: Exemptions $ 2,550 $12,750 Deductions $ 2,800 $14,457 Taxable Income $23,600 $69,043 Tax at 20% $4,720 $6,000 Tax at 30% - $11,713 Total tax $4,720 $17,713 Solution Manual for Practical Financial Management William R. Lasher 9781305637542
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