EGGC4214 Systems Engineering & Economy Lecture 9 Income Taxing Systems

Income Taxes The goal of this chapter is to give an overview of the income taxes. There is so much detail on taxes, you could spend the rest of your working life on the subject and still not know everything about taxes. Indeed, this is exactly what many tax accountants do. No realistic economic analysis can ignore taxes.  Tax laws change regularly. For example, Table 12-1, 2003 Tax Rates for individuals, does not apply for 2002. Sources of information on taxes include:  1. Governmental rates and categories of taxes 2. Good PC software for doing individual taxes Both individuals and corporations pay taxes. We will consider basic tax information in each area.

Income Taxes Basic purpose of taxes: to pay for government services. For your information, some governments charge more taxes than others – many of them also provide more services than others. Helpful Viewpoint for Understanding Taxes: Think of the government as your partner in every business activity. Related Point of View: Think of taxes as one more disbursement (like operating costs, maintenance, labor and materials, etc.)

Taxable Income of Individuals What is the difference between a taxidermist and a tax collector? The taxidermist takes only your skin. Mark Twain Adjusted gross income = Gross income – Adjustments Taxable income = Adjusted gross income - Personal exemption(s) - Itemized deductions or Standard deduction The tax any individual pays depends on the individual’s gross income. Gross income is the sum of: wages, salary, etc. interest income dividends (e.g., from stocks, mutual funds) capital gains (e.g., from stocks, mutual funds) unemployment compensation other income. Adjusted gross income (AGI) is the difference between gross income and allowable deductions such as retirement plan contributions, or social security income.

Taxable Income of Individuals If it weren't for those eleven saving clauses under the head of "Deductions" I should be beggared every year. Mark Twain From adjusted gross income, individuals may deduct: Personal Exemptions: One exemption ($3,050 for 2003 in US) is provided for each person who depends on the gross income for his or her living. Itemized Deductions, including: Excessive medical and dental expenses (exceeding 7.5% of adjusted gross income); State and local income tax; property and personal property tax; Home mortgage interest; Charitable contributions; Casualty and theft losses; Miscellaneous deductions (exceeding 2% of adjusted gross income). Standard Deduction. Each taxpayer may either itemize his or her deductions, or else take a standard deduction as follows: Single taxpayers: $4,750 (for year 2003 in US) Married taxpayers filling a joint return: $9,500 (for year 2000 in US)

Taxable Income of Individuals Taxable income = Gross income - All expenditures but capital expenditures - Depreciation and depletion charges Note: Except for land, business capital expenditures are charged to accounting records period by period through depreciation or depletion charges.

Classification of Business Expenditures There are three distinct types of business expenditures: 1. for depreciable assets (e.g., buildings); 2. for non-depreciable assets (e.g., land, minerals); 3. all other business expenditures (e.g., labor, materials). Expenditures for depreciable assets. This is the subject of the last chapter. Expenditures for non-depreciable assets. Non-depreciable assets include: land (land has no finite life); properties not used either in a trade, business, or for the production of income (e.g., home, automobile). Assets subject to depletion.  Since firms usually acquire assets for use in the business, their only non-depreciable assets normally are land and assets subject to depletion. All other business expenditures. This is probably the largest category. It includes all the ordinary and necessary expenditures of operating a business, including the following:  1. labor costs; 2. materials; 3. all direct and indirect costs; 4. facilities and productive equipment with a useful life of one year or less. These are all routine expenditures.

Taxable Income of Individuals Recall there are three distinct types of business expenditures: 1) for depreciable assets; 2) for non-depreciable assets; 3) all other business expenditures.  Entering capital expenditures into the accounting records of the firm is called capitalizing them. Entering all other business expenditures into the accounting records is called expensing them. Capital Expenditures Expense Expenditures

Taxable Income: Example Example: A firm has the following results (in millions of dollars) for a three-year period. For SL depreciation and no salvage value, the annual depreciation charge is (P-S)/N = (60-0)/3 = $20 million; taxable income = 200 – 140 – 20 = $40 million for each of the three years. - Do you think the cash results (0,60,60) or the taxable income (40,40,40) is a better indication of the annual performance of the firm? Year 1 Year 2 Year 3 Gross income from sales $200 Purchase of special tooling (useful life: 3 years) -$60 All other expenditures -$140 Cash results for the year $0 $60

Individual Tax Rates 2003 US Tax Rates – If you are not married Tax Brackets Tax Over But not over Base Tax Plus On Income Over $0 $ 6,000 $0.00 10.0% 6,000 28,400 600.00 15.0% 68,800 3,960.00 27.0% 143,500 14,868.00 30.0%  311,950 37,278.00 35.0% Over 311,950 96,235.50 38.6%

Individual Tax Rates

Individual Tax Rates: Examples An unmarried person with a taxable income of $50,000 would pay $3,960 + 0.27(50,000 – 28,400) = $9,792.  A couple with a taxable income of $50,000 would pay $6,517.5 + 0.27 (50,000 – 47,450) = $7,206. A couple with a taxable income of $100,000 would pay $ 6,517.5 + 0.27(100,000 – 47,450) = $20,706. Bill is an unmarried student. He earned $8,000 in the summer, plus another $2,000 during the rest of the year. When he files his income tax return, he is allowed one exemption. He estimates he spent $1000 on allowable itemized deductions. How much income tax does he pay? Adjusted gross income (AGI) = $8,000 + 2,000 = $10,000.  Taxable income = AGI – Deduction for one exemption - Standard deduction = =10,000 – 3,050 – 4,750 = $2,200. Federal income tax = 0.10 (2,200) = $220

If taxable income is over Corporate Tax Rates Income tax for corporations is computed in a manner similar to that for individuals. If taxable income is over but not over tax is of the amount over 50,000 0 + 15% $0 75,000 7,500 + 25% 100,000 13,750 + 34% 335,000 22,250 + 39% 10 million 113,900 + 34% 15 million 3,400,000 + 35% 18,333,333 5,159,000 + 38%  18,333,333 6,425,667 + 35% Note the bracket with a 39% rate between two brackets with 34% rates. (The 5% surtax is to phase out prior tax benefits.)

Corporate Tax Rates: Example The French Chemical Corp. was formed to make household bleach. The firm bought land for $220,000, had a $900,000 factory building erected, and installed $650,000 worth of chemical and packaging equipment. The plant was completed and operations begin on April 1st. The gross income for the calendar year was $450,000. Supplies and all operating expenses, excluding the capital expenditures, were $100,000. The firm will use MACRS depreciation. Taxable Income = Gross income - All expenditures but capital expenditures - Depreciation and depletion charges Gross Income = $450,000 Depreciation = $92,885 + $16,371 All expenditures but capital exp. = $100,000 Taxable income = $450,000 - $100,000 - $109,256 = $240,744. First-year depreciation charge. Chemical equipment is personal property. From the table in last chapter, it is probably in the “Seven-year, all other property” class. Thus, first-year depreciation = 14.29% of $650,000 = $92,885. The building is in the 39-year real property class. Being placed in Service April 1st, first-year depreciation = 1.819% of $900,000 = $16,371. Federal income tax = $22,250 + 0.39(240,744-100,000) = $77,140.

Capital Gains and Losses: Non-depreciated Assets Non-depreciable assets: land, minerals, stocks, bonds. Example. Suppose you buy a stock for $1,000, keep it for two years, and sell it for $1,200. The difference = $1200 - $1,000 = $200 is called a capital gain. Suppose you buy a stock for $500, keep it for two years, and sell it for $400. The difference = $400 - $500 = -$100 is called a capital loss (a negative capital gain). Generalization: A firm sells or exchanges a capital asset. Entries in the firm’s accounting records reflect this change.   If Selling Price > Original Cost Basis, then Capital gain = Selling price – Original Cost Basis ( > 0)   If Selling price < Original Cost Basis, then Capital loss = Selling price – Original Cost Basis (< 0) Tax laws for treating capital gains change over time. Currently, assets held less than six months produce short-term gains or losses. Capital assets held for more than six months produce long-term gains or losses. The current tax law sets the net capital gains tax at 20% for assets held more than 12 months by individuals.

Gains and Losses: Depreciated Assets In the unlikely event that an asset is sold for an amount greater than its cost basis, the gains (salvage value – book value) are divided into two parts for tax purposes:  Gains = Capital gains + Ordinary gains (Depreciation recapture) Capital gains = Salvage value – Cost basis   Ordinary gains = Cost basis – Book value If asset is sold for an amount less than its book value than Ordinary loss = Book value - Salvage value The distinction between capital and ordinary gains is only necessary when capital gains are taxed at the capital gain tax rate and ordinary gains (or depreciation recapture) at the ordinary income tax rate.

Economic Analysis Before and After Taxes All our earlier analysis of CFS’s has been before taxes. We also need to do a second analysis, after taxes. Example. Giuliano’s Pizza plans to spend $3,000 on a used truck for the shipping and receiving department of its local warehouse. Estimated life = 5 years, Estimated savings per year = $800   Estimated salvage value = $750. Giuliano’s is in the 34% tax bracket.   SL depreciation = (3000-750)/5 = $450 per year. Year CF before taxes SL Depr. Taxable Inc. Tax (34%) CF after taxes (a) (b) (c) = (a) – (b) (d) = -34%(c) (a) + (d) -$3,000 1 800 450 350 -119 681 2 3 4 5 800 + 750 681 + 750 Before Taxes: CFS (a) has IRR = 15.69%  After Taxes: CFS (e) has IRR = 10.55%

Economic Analysis Before and After Taxes After-tax analysis is what is most important. Income taxes are a major disbursement that cannot be ignored. Only the after-tax ROR is a meaningful value. Example A firm is losing sales because it cannot always make quick deliveries. By investing an extra $20,000 in inventory it is believed that the before-tax profit of the firm will be $1,000 more the first year. The second year before-tax extra profit will be $1,500. The extra profit is then expected to go up $500 more each year. The investment in extra inventory may be recovered at the end of a four-year analysis period by selling it and not replenishing the inventory. Assume the incremental tax rate is 39%. We wish to find the ROR before taxes, and the ROR after taxes. Important: Inventory is not considered a depreciable asset. The investment in extra inventory is not depreciated. (Even though an old inventory may have less value to the owner, the tax code does not recognize this.)

Economic Analysis Before and After Taxes Year CF before taxes SL Depr. Taxable Inc. Tax (39%) CF after taxes (a) (b) (c) = (a) – (b) (d) = -39%(c) (a) + (d) -$20,000 1 1,000 -390 610 2 1,500 -585 915 3 2,000 -780 1,220 4 2,500 + 20,000 2,500 -975 1,525 + 20,000 Before taxes: CFS (a) has IRR = 8.50% After taxes: CFS (e) has IRR = 5.24%. Key point: inventory is not considered a depreciable asset, even though its value to the owner may decrease over time.