公司理财第九版课后习题答案第二章

CHAPTER 2FINANCIAL STATEMENTS AND CASH FLOWAnswe rs to Concepts Review and Critical Thinking Questions1. True. Every asset can be converted to cash at some price. However, when we are referring to a liquidasset, the added assumption that the asset can be quickly converted to cash at or near market value is important.2. The recognition and matching principles in financial accounting call for revenues, and the costsassociated with producing those revenues, to be ―booked‖when the revenue process isessentiallycomplete, not necessarily when the cash is collected or bills are paid. Note that this way is notnecessarily correct; it‘s the way accountants have chosen to do it.3. The bottom line number shows the change in the ca sh balanc e on the balance sheet. As such, it is nota use ful number for analyzing a company.4. The major difference is the treatment of interest expense. The accounting statement of cash flowstreats interest as an operating ca sh flow, while the financial ca sh flows treat interest as a financing cash flow. The logic of the accounting statement of cash flows is that since interest appears on the income statement, which shows the operations for the period, it is an operating cash flow. In reality, interest is a financing expense, which results from the company‘s choice of debt and equity. We will have more to say about this in a later chapter. When compa ring the two c ash flow statements, thefinancial statement of cash flows is a more appropriate measure of the company‘s performa ncebecause of its treatment of interest.5. Market values can never be negative. Imagine a share of stock selling for –$20. This would meanthat if you placed an order for 100 shares, you would get the stock along with a check for $2,000.How ma ny shares do you want to buy? More generally, because of corpora te andindividualbankruptcy laws, net worth for a person or a corporation cannot be negative, implying that liabilities cannot exceed assets in market value.6. For a successful c ompany that is rapidly expanding, for example, capital outlays will be large,possibly leading to negative c ash flow from assets. In general, what matters is whether the money is spent wisely, not whe ther cash flow from assets is positive or negative.7. It‘s probably not a good sign for an e stablished company to have negative cash flow from operations,but it would be fairly ordinary for a start-up, so it depends.would have this effect. Negative net c apital spending would mea n more long-lived assets wereliquidated than purchased.49.10. If a company raises more money from selling stock than it pays in dividends in a particular period,its cash flow to stockholders will be negative. If a company borrows more than it pays in interest and principal, its cash flow to creditors will be negative.The adjustments discussed were purely accounting changes; they had no cash flow or market value consequences unless the new accounting information caused stockholders to revalue the derivatives.Solutions to Questions and Proble msNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiplesteps. Due to space and readability constraints, when these intermediate steps are included in thissolutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basic1. To find owners‘ equity, we must construct a balance sheet as follows:Balance SheetCA $ 5,300 CL $ 3,900NFA 26,000 LTD 14,200OE ??TA $31,300 TL & OE $31,300We know that total liabilities and owners‘ equity (TL & OE) must equal total assets of $31,300. We also know that TL & OE is equal to current liabilities plus long-term debt plus owner‘s equity, soowner‘s equity is:OE = $31,300 –14,200 – 3,900 = $13,200NWC = CA – CL = $5,300 – 3,900 = $1,4002. The income statement for the company is:Income StatementSales $493,000Costs 210,000Depreciation 35,000EBIT $248,000Interest 19,000EBT $229,000Taxes 80,150Net income $148,8503.4.5.6. One equation for net income is:Net income = Dividends + Addition to retained earningsRearranging, we get:Addition to retained earnings = Net income – Divide ndsAddition to retained earnings = $148,850 – 50,000Addition to retained earnings = $98,850To find the book value of current assets, we use: NWC = CA – CL. Rearranging to solve for current assets, we get:CA = NWC + CL = $800,000 + 2,100,000 = $2,900,000The market value of current assets and net fixed assets is given, so:Book value CA= $2,900,000 Market value CA= $2,800,000Book value NFA = $5,000,000 Market value NFA= $6,300,000Book value assets = $7,900,000 Market value assets= $9,100,000Taxes = 0.15($50K) + 0.25($25K) + 0.34($25K) + 0.39($246K – 100K)Taxes = $79,190The average tax ra te is the total tax paid divided by net income, so:Average tax rate = $79,190 / $246,000Average tax rate = 32.19%The marginal tax rate is the tax rate on the next $1 of earnings, so the marginal tax ra te = 39%.To calculate OCF, we first need the income state ment:Income StatementSales $14,900Costs 5,800Depreciation 1,300EBIT $7,800Interest 780Taxable income $7,020Taxes 2,808Net income $4,212OCF = EBIT + Depreciation – TaxesOCF = $7,800 + 1,300 – 2,808OCF = $6,292Net capital spending = $1,730,000 – 1,650,000 + 284,000Net capital spending = $364,0007. The long-term debt account will increase by $10 million, the amount of the new long-term debt issue.Since the company sold 10 million new shares of stock with a $1 par value, the common stockaccount will increase by $10 million. The capital surplus account will increase by $33 million, thevalue of the new stoc k sold above its par value. Since the company had a net income of $9million,and pa id $2 million in dividends, the addition to retained earnings was $7 million, which willinc rease the accumulated retained earnings account. So, the new long-term debt a nd stockholders‘ equity portion of the balance sheet will be:Long-term debt $82,000,000Total long-term debt $82,000,000Shareholders equityPreferred stock $9,000,000Common stock ($1 par value) 30,000,000Ac cumulated retained earnings 104,000,000Capital surplus 76,000,000Total equity $ 219,000,000Total Liabilities & Equity $ 301,000,0008.9. Cash flow to creditors = Interest paid – Net new borrowingCash flow to creditors = $118,000 – ($1,390,000 – 1,340,000)Cash flow to creditors = $118,000 – 50,000Cash flow to creditors = $68,000Cash flow to stockholders = Dividends paid – Net new equityCash flow to stockholders = $385,000 – [(Common+ APIS) – (Common+ APIS)]end end beg beg10. Cash flow to stockholders = $385,000 – [($450,000 + 3,050,000) – ($430,000 + 2,600,000)] Cash flow to stockholders = $385,000 – ($3,500,000 – 3,030,000)Cash flow to stockholders = –$85,000Note, APIS is the additional paid-in surplus.Cash flow from assets= Cash flow to creditors + Cash flow to stockholders= $68,000 – 85,000= –$17,000Cash flow from assets= –$17,000 = OCF – Change in NWC – Net capital spending–$17,000 = OCF – (–$69,000) – 875,000Operating cash flowOperating cash flow= –$17,000 – 69,000 + 875,000= $789,000Cash flow to creditors = $118,000 – (LTD– LTD)11. a. IntermediateThe accounting statement of cash flows explains the change in cash during the year. Theaccounting statement of cash flows will be:Statement of cash flowsOperationsNet income $105Depreciation 90Changes in other current assets (55)Accounts payable (10)Total cash flow from operations $170Investing activitiesAcquisition of fixed assets $(140)Total cash flow from investing activities $(140)Financing activitiesProc eeds of long-term debt $30Dividends (45)Total cash flow from financing activities ($15)Change in cash (on balance sheet) $15b.Change in NWC= NWC e nd– NWC beg= (CA end–CL en d ) – (CA beg–CL be g)c.= [($50 + 155) – 85] – [($35 + 140) – 95)= $120 – 80= $40To find the cash flow generated by the firm‘s assets, we need the operating cash flow, and thecapital spending. So, calculating each of these, we find:Operating cash flowNet income $105Depreciation 90Operating cash flow $195Note that we can calculate OCF in this manner since there a re no taxes.Capital spendingEnding fixed assets Beginning fixed assets DepreciationCapital spending $340 (290)90 $140Now we c an calculate the cash flow gene rated by the firm‘s assets, which is: Cash flow from assetsOperating cash flow Capital spending Change in NWC Cash flow from assets $195 (140) (40) $1512. With the information provided, the cash flows from the firm are the capital spending and the changein net working capital, so:Cash flows from the firmCapital spending $(15,000)Additions to NWC (1,500)Cash flows from the firm $(16,500)And the cash flows to the investors of the firm are:Cash flows to investors of the firmSale of long-term debt (19,000)Sale of common stock (3,000)Dividends paid 19,500Cash flows to investors of the firm $(2,500)13. a.b. The interest expense for the company is the amount of debt times the interest rate on the debt. So, the income statement for the company is:Income StatementSales $1,200,000Cost of goods sold 450,000Selling costs 225,000Depreciation 110,000EBIT $415,000Interest 81,000Taxable income $334,000Taxes 116,900Net income $217,100And the opera ting cash flow is:OCF = EBIT + Depreciation – TaxesOCF = $415,000 + 110,000 – 116,900OCF = $408,10014. To find the OCF, we first calculate net income.Income StatementSales $167,000Costs 91,000Depreciation 8,000Other expe nses 5,400EBIT $62,600Interest 11,000Taxable income $51,600Taxes18,060Net income $33,540Dividends $9,500Additions to RE $24,040a.OCF = EBIT + Depreciation – TaxesOCF = $62,600 + 8,000 – 18,060OCF = $52,540b.CFC = Interest – Net new LTDCFC = $11,000 – (–$7,100)CFC = $18,100Note that the net new long-term debt is negative because the compa ny repaid part of its long-term debt.c.CFS = Dividends – Net new equityCFS = $9,500 – 7,250CFS = $2,250d.We know that CFA = CFC + CFS, so:CFA = $18,100 + 2,250 = $20,350CFA is also equal to OCF – Net capital spending – Change in NWC. We already know OCF.Net capital spending is equal to:Net capital spending = Increase in NFA + De preciationNet capital spending = $22,400 + 8,000Net capital spending = $30,400Now we c an use:CFA = OCF – Net capital spending – Change in NWC$20,350 = $52,540 – 30,400 – Change in NWC.Solving for the change in NWC gives $1,790, me aning the company increased its NWC by$1,790.15. The solution to this question works the income statement backwards. Starting at the bottom:Net income = Dividends + Addition to ret. earningsNet income = $1,530 + 5,300Net income = $6,830Now, looking at the income statement:EBT – (EBT × Tax rate) = Net incomeRecognize that EBT × tax rate is simply the calculation for ta xes. Solving this for EBT yields: EBT = NI / (1– Tax rate)EBT = $6,830 / (1 – 0.65)EBT = $10,507.69Now we can calculate:EBIT = EBT + InterestEBIT = $10,507.69 + 1,900EBIT = $12,407.69The last step is to use:EBIT = Sales – Costs – Depreciation$12,407.69 = $43,000 – 27,500 – DepreciationDepreciation = $3,092.31Solving for depreciation, we find that depreciation = $3,092.3116. The balance sheet for the company looks like this:Balance SheetCash $183,000 Accounts payableAc counts receivable 138,000 Notes payableInventory 297,000 Current liabilitiesCurrent assets $618,000 Long-term debtTotal liabilities Tangible net fixed assets 3,200,000Intangible net fixed assets 695,000 Common stockAccumulated ret. earnings Total assets $4,513,000 Total liab. & owners‘ equity Total liabilities and owners‘ equity is:TL & OE = Total debt + Common stock + Accumulated retained earnings Solving for this equation for equity gives us:Common stock = $4,513,000 – 1,960,000 – 2,160,000Common stock = $393,000$465,000145,000 $610,000 1,550,000 $2,160,000?? 1,960,000 $4,513,00017.18.19. The market value of shareholders‘ equity cannot be negative. A negative market value in this casewould imply that the company would pay you to own the stock. The market value of sha reholders‘ equity can be stated as: Shareholders‘ equity = Max [(TA –TL), 0]. So, if TA is $9,700, equity isequal to $800, and if TA is $6,800, e quity is equal to $0. We should note here that while the market value of equity cannot be negative, the book value of shareholders‘ equity can be negative.a.Taxes Growth= 0.15($50K) + 0.25($25K) + 0.34($3K) = $14,770Taxes Income= 0.15($50K) + 0.25($25K) + 0.34($25K) + 0.39($235K) + 0.34($7.465M)= $2,652,000b. Each firm has a marginal tax rate of 34% on the next $10,000 of taxa ble income, despite theirdifferent average ta x rates, so both firms will pay an additional $3,400 in taxes.Income State mentSales $740,000COGS 610,000A&S expenses 100,000Depreciation 140,000EBIT ($115,000)Interest 70,000Taxable income ($185,000)Taxes (35%) 0 income ($185,000)b.OCF = EBIT + Depreciation – TaxesOCF = ($115,000) + 140,000 – 0OCF = $25,00020.21. c. Net income was negative because of the tax deductibility of depreciation and interest expense.However, the actual cash flow from operations wa s positive because de preciation is a non-cashexpense and interest is a financing expense, not an operating expense.A firm can still pay out dividends if net income is negative; it just has to be sure there is sufficientcash flow to make the dividend payments.Change in NWC = Net ca pital spending = Net new equity = 0. (Given)Cash flow from assets = OCF – Change in NWC – Net capital spendingCash flow from assets = $25,000 – 0 – 0 = $25,000Cash flow to stockholders = Divide nds – Net new equityCash flow to stockholders = $30,000 – 0 = $30,000Cash flow to creditors = Cash flow from assets – Cash flow to stockholdersCash flow to creditors = $25,000 – 30,000Cash flow to creditors = –$5,000Cash flow to creditors is also:Cash flow to creditors = Interest – Net new LTDSo:Net new LTD = Interest – Cash flow to creditorsNet new LTD = $70,000 – (–5,000)Net new LTD = $75,000a. The income statement is:Income StatementSales $15,300Cost of good sold 10,900Depreciation 2,100EBIT $ 2,300Interest 520Taxable income $ 1,780Taxes712Net income $1,068b.OCF= EBIT + Depreciation – TaxesOCF = $2,300 + 2,100 – 712OCF = $3,68813c. Change in NWC=NWC end– NWC beg= (CA end–CL en d ) – (CA beg–CL be g)22.= ($3,950 – 1,950) – ($3,400 – 1,900)= $2,000 – 1,500 = $500Ne t capital spending= NFA end– NFA beg+ Depreciation= $12,900 – 11,800 + 2,100= $3,200CFA= OCF – Change in NWC – Net capital spending= $3,688 – 500 – 3,200= –$12The cash flow from assets can be positive or ne gative, since it represents whether the firm raisedfunds or distributed funds on a net basis. In this problem, even though net income and OCF arepositive, the firm invested heavily in both fixed assets and net working capital; it had to raise a net $12 in funds from its stockholders and creditors to make these investments.d. Ca sh flow to creditors= Interest – Net new LTD= $520 – 0= $520Ca sh flow to stoc kholders = Cash flow from assets – Cash flow to creditors= –$12 – 520= –$532We can also calculate the cash flow to stockholders as:Ca sh flow to stoc kholders = Dividends – Ne t new equitySolving for net new equity, we get:Net new equity= $500 – (–532)= $1,032The firm had positive earnings in an accounting sense (NI > 0) and had positive cash flow fromoperations. The firm invested $500 in new net working capital and $3,200 in new fixed assets. The firm had to raise $12 from its stakeholders to support this new inve stment. It accomplished this by raising $1,032 in the form of new equity. After paying out $500 of this in the form of dividends to shareholders and $520 in the form of interest to creditors, $12 was left to meet the firm‘s ca sh flow needs for investment.a. Total assets 2009= $780 + 3,480 = $4,260Total liabilities 2009= $318 + 1,800 = $2,118Owners‘ equity 2009 = $4,260 – 2,118 = $2,142Total assets 2010= $846 + 4,080 = $4,926Total liabilities 2010= $348 + 2,064 = $2,412Owners‘ equity 2010= $4,926 – 2,412 = $2,51414b. NWC 2009NWC 2010Change in NWC = CA09 – CL09 = $780 – 318 = $462= CA10 – CL10 = $846 – 348 = $498= NWC10 – NWC09 = $498 – 462 = $36c.d. We can calculate net capital spe nding as:Net capital spending = Net fixed assets 2010 – Net fixed assets 2009 + Deprec iationNet capital spending = $4,080 – 3,480 + 960Net capital spending = $1,560So, the company had a net capital spending cash flow of $1,560. We also know that net capital spending is:Net capital spending = Fixed assets bought – Fixed assets sold$1,560= $1,800 – Fixed assets soldFixed assets sold= $1,800 – 1,560 = $240To c alculate the cash flow from assets, we must first calculate the operating cash flow. Theoperating cash flow is calculated as follows (you can also prepare a traditional incomestatement):EBIT = Sales – Costs – DepreciationEBIT = $10,320 – 4,980 – 960EBIT = $4,380EBT = EBIT – InterestEBT = $4,380 – 259EBT = $4,121Taxes = EBT ⨯ .35Taxes = $4,121 ⨯ .35Taxes = $1,442OCF = EBIT + Depreciation – TaxesOCF = $4,380 + 960 – 1,442OCF = $3,898Ca sh flow from a ssets = OCF – Change in NWC – Net capital spending.Ca sh flow from a ssets = $3,898 – 36 – 1,560Ca sh flow from a ssets = $2,302Net new borrowing = LTD10 – LTD09Net new borrowing = $2,064 – 1,800Net new borrowing = $264Ca sh flow to creditors = Interest – Net ne w LTDCa sh flow to creditors = $259 – 264Ca sh flow to creditors = –$5Net new borrowing = $264 = Debt issue d – Debt retiredDebt retired = $360 – 264 = $961523.CashAccounts receivable InventoryCurrent assetsNet fixed assets Total assetsCashAccounts receivable InventoryCurrent assetsNet fixed assets Total assets Balance sheet as of Dec. 31, 2009$2,739 Accounts payable3,626 Notes payable6,447 Current liabilities$12,812Long-term debt$22,970 Owners' equity$35,782 Total liab. & equityBalance sheet as of Dec. 31, 2010$2,802Accounts payable4,085 Notes payable6,625Current liabilities$13,512Long-term debt$23,518Owners' equity$37,030Total liab. & equity$2,877529$3,406$9,173$23,203$35,782$2,790497$3,287$10,702$23,041$37,03024.2009 Income StatementSales $5,223.00COGS 1,797.00Othe r expenses 426.00Depreciation 750.00EBIT $2,250.00Interest 350.00EBT $1,900.00Taxes646.00Net income $1,254.00Dividends $637.00Additions to RE 617.00OCF = EBIT + Depreciation – TaxesOCF = $2,459 + 751 – 699.38OCF = $2,510.62Change in NWC = NWC end– NWC beg= (CA – CL)end2010 Income StatementSales $5,606.00COGS 2,040.00Other expense s 356.00Depreciation 751.00EBIT $2,459.00Interest 402.00EBT $2,057.00Taxes699.38Net income $1,357.62Dividends $701.00Additions to RE 656.62– (CA – CL)begChange in NWC = ($13,512 – 3,287) – ($12,812 – 3,406)Change in NWC = $819Net capital spending = $23,518 – 22,970 + 751Net capital spending = $1,29916Net capital spending = NFA– NFA+ Depreciation25. Cash flow from assets = OCF – Change in NWC – Net capital spendingCash flow from assets = $2,510.62 – 819 – 1,299Cash flow from assets = $396.62Cash flow to creditors = Interest – Net new LTDNet new LTD = LTD end– LTD begCash flow to creditors = $402 – ($10,702 – 9,173)Cash flow to creditors = –$1,127Common stock + Retained earnings = Total owners‘ equityNet new equity = (OE – RE)end– (OE – RE)begRE end= RE beg+ Additions to RENet new equity = $23,041 – 23,203 – 656.62 = –$818.62Cash flow to stockholders = Dividends – Net new equityCash flow to stockholders = $701 – (–$818.62)Cash flow to stockholders = $1,519.62As a check, ca sh flow from assets is $396.62.Cash flow from assets = Cash flow from creditors + Cash flow to stockholdersCash flow from assets = –$1,127 + 1,519.62Cash flow from assets = $392.62ChallengeWe will begin by calculating the operating cash flow. First, we need the EBIT, which c an becalculated as:EBIT = Net income + Current taxes + Deferred taxes + Inte restEBIT = $144 + 82 + 16 + 43EBIT = $380Now we can calculate the operating cash flow as:Operating cash flowEarnings before interest and taxes $285Depreciation 78Current taxes (82)Operating cash flow $28117Net new equity = Common stock– Common stockNet new equity = OE– OE+ RE– RE∴ Net new equity= OE– OE+ RE– (RE+ Additions to RE)= OE– OE– Additions to REThe cash flow from assets is found in the investing activities portion of the accounting statement of cash flows, so:Cash flow from assetsAcquisition of fixed a ssets $148Sale of fixed assets (19)Capital spending $129The net working capital cash flows are all found in the operations cash flow section of theaccounting statement of cash flows. However, instead of c alculating the net working capital cashflows as the change in net working capital, we must calculate each item individually. Doing so, wefind:Net working capital cash flowCash $42Accounts receivable 15Inventories (18)Accounts payable (14)Accrued expenses 7Notes payable (5)Other (2)NWC cash flow $25Except for the interest expense and note s payable, the ca sh flow to creditors is found in the financing activities of the accounting statement of cash flows. The inte rest expense from the income statementis given, so:Cash flow to creditorsInterest $43Retirement of debt 135Debt service $178Proceeds from sale of long-term debt (97)Total $81And we can find the cash flow to stockholders in the financing se ction of the accounting stateme nt of cash flows. The cash flow to stockholders was:Cash flow to stockholdersDividends $ 72Repurchase of stock 11Cash to stockholders $ 83Proceeds from new stock issue(37)Total $ 461826. Net capital spending= (NFA– NFA + Depreciation) + (Depreciation + AD) – AD= (NFA+ AD) – (NFA+ ADbeg) =FAbeg– FAend end beg beg end beg27. a.b.c. The tax bubble causes average tax rates to catch up to marginal tax rates, thus eliminating the tax advantage of low marginal rates for high inc ome corporations.Assuming a taxable income of $335,000, the taxes will be:Taxes = 0.15($50K) + 0.25($25K) + 0.34($25K) + 0.39($235K) = $113.9KAverage tax rate = $113.9K / $335K = 34%The marginal tax rate on the next dollar of income is 34 percent.For corporate taxable income levels of $335K to $10M, average tax rates are equal to marginal tax rates.Taxes = 0.34($10M) + 0.35($5M) + 0.38($3.333M) = $6,416,667Average tax rate = $6,416,667 / $18,333,334 = 35%The marginal tax rate on the ne xt dollar of income is 35 percent. For corporate taxable income levels over $18,333,334, ave rage tax rates are again e qual to marginal tax rates.Taxes= 0.34($200K) = $68K = 0.15($50K) + 0.25($25K) + 0.34($25K) + X($100K);X($100K)= $68K – 22.25K = $45.75KX= $45.75K / $100KX= 45.75%19=NFA– NFAend= (NFAbeg– NFA)+ AD– AD。