Solution Manual For Contemporary Engineering Economics, 5th Edition

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Page | 1Chapter 2 Understanding Financial StatementsFinancial Statement2.1(a)Current assets = $150,000 + $200,000 + $150,000 + $50,000 + $30,000 =$580,000Current liabilities = $50,000 + $100,000 + $80,000 = $230,000Working capital = $580,000 - $230,000 = $350,000Shareholder’s equity = $100,000 + $150,000 + $150,000 + $70,000 =$470,000(b) EPS = $500,000/10,000 = $50 per share(c) Par value = $15; capital surplus = $150,000/10,000 = $15;Market price = $15 + $15 = $30 per share2.2(a)Working capital = Current assets – Current liabilities;Working capital requirements = Changes in current assets – Changes incurrent liabilitiesWC req. = (+$100,000 - $20,000) – (+$30,000 - $40,000) = $90,000(b)Taxable income = $1,500,000 - $650,000 - $150,000 - $20,000 = $680,000(c)Net income = $680,000 - $272,000 = $408,000(d)Net cash flow:A.Operating activities = net income + depreciation – W.C. required =$408,000 + $200,000 - $90,000 = $518,000B.Investing activities = equipment purchase = ($400,000)C.Financing activities = borrowed funds = $200,000D.Net cash flow = $518,000 - $400,000 + $200,000 = $318,0002.3(a)168ROE21%800A==240ROE60%400B==

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Page | 2ROAA=168+20(10.4)1,000=18%ROAB=240+160(10.4)2,000=16.8%(b)Because company has higher income but less equity than that of company A.No, it is just one criterion, so we cannot say that. Further investigation mustbe conducted.(c)408ROE34%1200merge==Merge and Acquisition situation between companies A and B .2.4(a)Debt ratio = $18,542,000/$39,572,000 = 46.86%(b)Time-interest-earned ratio: N/A(c)Current ratio = $34,690,000/$14,092,000 = 2.46 times(d)Quick ratio = ($34,690,000-$509,000)/$14,092,000 = 2.43 times(e)Inventory-turnover ratio = $32,479,000/($509,000 + $346,000)/2 =75.97times(f)DSO = ($6,151,000)/($32,479,000/365) = 69.13 days(g)Total-assets-turnover ratio = $32,479,000/$39,572,000 = 0.82 times(h)Profit margin on sales = $4,834,000/$32,479,000 = 14.88%(i)Return on Total assets$4,834, 000$014.89%($39,572, 000$25,347, 000) / 2+==+(j)Return on Common equity$4,834, 00027.19%($21, 030, 000$14,532, 000) / 2==+(k)Price-earnings ratio = $128.24/ ($4,834,000,000/892,110,000) = $23.66(Note: Theaveragetotal number of outstanding shares in year 2009:892.11 M)(l)Book value per share = ($21,030,000,000 – 0)/892,110,000= $23.57

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Page | 32.5(a)Debt ratio = $9,498,000/$10,946,000 = 86.77%(b)Time-interest-earned ratio = ($1,941,000 + $308,000)/$308,000= 7.3 times(c)Current ratio = $2,521,000/$3,552,000= 0.71 times(d)Quick ratio = ($2,521,000- $897,000)/$ 3,552,000= 0.46 times(e)Inventory-turnover ratio =$12,822,000($897,000+$924,000) / 2=14.08times(f)DSO = ($1,100,000)/($12,822,000/365) = 31.31 days(g)Total-assets-turnover ratio = $12,822,000/$10,946,000 = 1.17 times(h)Profit margin on sales = $1,148,000/$12,822,000= 8.95%(i)Return on total assets =$1,148,000+$308,000(10.4)($10,946,000+$11,397,000 / 2=11.93%(j)Return on common equity =$1,148,000($1,448,000+$2,526,000) / 2=57.78%(k)Price-earnings ratio = $44.65/($1,148,000,000/382,500,000) = $14.88(Note: Theaveragetotal outstanding number of shares in year 2009: 382.5M)(l)Book value per share = $1,448,000,000/382,500,000 = $3.792.6Given R.C.’s EPS = $8 per share; Cash dividend = $4 per share; Book valueper share = $80; Changes in the retained earnings = $24 million; Total debt =$240 million; Find debt ratio = total debt/total assetsNet Income$8EPSX==whereX= the number of outstanding sharesTotal shareholders' equityBook value$80X==

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Page | 4Retained earnings = Net income – Cash dividend; Net income = 8Xfrom EPSrelationship and the total cash dividend = 4X, so we rewrite 8X– 4X= $24million, orX= 6 million sharesFrom book value per share, we know that total shareholders’ equity = 80X, or$480 million; Total assets = Total liabilities + Total shareholders’ equity =$240 million + $480 million = $720 millionDebt ratio = $240 million/$720 million = 33.33%2.7(b)2.8(b)2.9(d)2.10(b)

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Page | 1Chapter 3: Interest Rate and Economic EquivalenceTypes of Interest3.1Simple interest:$20,000=$10,000(1+0.075N)(1+0.075N)=2N=10.075=13.3314 yearsCompound interest:3.2Simple interest:(0.06)($5, 000)(5)$1,500IiPN===Compound interest:[(1)1]$5, 000(1.33821)$1, 691NIPi=+==3.3Option 1: Compound interest with 8%:408,4$)4693.1(000,3$)08.01(000,3$5==+=FOption 2: Simple interest with 9%:350,4$)45.1(000,3$)509.01(000,3$==×+Option 1 is better.$20,000=$10,000(1+0.07)N(1+0.07)N=2N=10.2411years

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Page | 23.4End of YearPrincipalRepaymentInterestpaymentRemainingBalance0$10,0001$1,638$1,000$8,3622$1,802$836$6,5603$1,982$656$4,5784$2,180$458$2,3985$2,398$240$0Equivalence Concept3.5$18, 000(/,5%,5)$18, 000(0.7835)$14,103PPF===3.6$25, 000(/,8%,3)$25, 000(1.2597)$31, 493FFP===3.7$100(/,10%,10)$200(/,10%,8)$688FFPFP=+=3.82$1, 000(/, , 2)$1, 200$1, 000(1)$1, 2001.219.54%FP iiii=+===Single Payments (Use ofF/PorP/FFactors)3.9$180, 000(/, 6%,10)$322,353FFP==3.10(a)$7, 000(/, 6%,5)$9,368FFP==(b)$3, 250(/,5%,15)$6, 757FFP==(c)$18, 000(/,8%,33)$228,169FFP==(d)$20, 000(/,9%,8)$39,851FFP==

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Page | 33.11$300, 000(/,8%,10)$138,958PPF==3.12(a)$15,500(/,14%,8)$5, 434PPF==(b)$18, 000(/, 4%,12)$11, 243PPF==(c)$20, 000(/,8%,9)$10, 005PPF==(d)$55, 000(/,11%, 4)$36, 230PPF==3.13(a)$12, 000(/,13%, 4)$7,360PPF==(b)$30, 000(/,13%,5)$55, 273FFP==3.14F=3P=P(1+0.06)Nlog 3=Nlog(1.06)N=18.8519 years3.15F=2P=P(1+0.08)Nlog 2=Nlog(1.08)N=9 yearsRule of 72:72 / 89 years=3.16(a)Single-payment compound amount),,/(NiPFfactors forN9%10%3520.414028.10244031.409445.2593To find)38%,5.9,/(PF, first, interpolate for38=n:N9%10%3827.011238.3965

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Page | 4Then, interpolate for%5.9=i:7039.32)38%,5.9,/(=PFAs compared to formula determination4584.31)38%,5.9,/(=PF(b)Single-payment compound amount(P/F,8%,N)factors forN45500.03130.0213Then, interpolate forN=470273.0)47%,8,/(=FPAs compared to the value from the interest formula:0269.0)47%,8,/(=FP3.17(a)44$18(1)$92, 40021.43%ii+==(b)F=$97.8(F/P,21.43%,22)=$7,007billionUneven Payment Series3.18$1,000+$1,0001.1+$1,5001.13=$1,2101.12+X1.14X=$2,9813.192345$25, 000$33, 000$46, 000$38, 000$110,9611.071.071.071.07P=+++=3.20$2, 000(/, 6%,10)$2,500(/, 6%,8)$3, 000(/,6%,6)$11,822FFPFPFP=++=

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Page | 53.21$3, 000, 000$2, 400, 000(/,8%,1)$3, 000, 000(/,8%,10)$20, 734, 618PPFPF=+++="Or,$3, 000, 000$2, 400, 000(/,8%,5)$3, 000, 000(/,8%,5)(/,8%,5)$20, 734, 618PPAPAPF=++=3.22$8, 000(/, 6%, 2)$6, 000(/, 6%,5)$4, 000(/,6%,7)$14, 264PPFPFPF=++=Equal Payment Series3.23(a)With deposits made at the end of each year$2, 000(/,8%,15)$54,304FFA==(b)With deposits made at the beginning of each year$2, 000(/,8%,15)(1.08)$58, 649FFA==3.24$10, 000(/, 6%,20)$367,856FFA==3.25(a)$6, 000(/,8%,5)$35, 200FFA==(b)$4, 000(/, 6.25%,12)$68, 473FFA==(c)$9, 000(/,9.45%, 20)$484,359FFA==(d)$3, 000(/,11.75%,12)$71,308FFA==3.26(a)$32, 000(/,8%,15)$1,179AAF==(b)$55, 000(/, 6%,10)$4,173AAF==

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Page | 6(c)$35, 000(/, 7%, 20)$853.8AAF==(d)$8, 000(/,11%, 4)$1, 699AAF==3.27$50, 000(/, 6%,10)$3, 793.40AF=3.28$35, 000$2, 000(/, 6%,)(/, 6%,)17.512.3213yearsFANFANN===3.29$15, 000(/,11%,5)$2, 408.57A FAA==3.30$5, 000$500(/, 7%,5)(/, 7%,5)$747.51FPA FAA=+=3.31(a)$12, 000(/, 4%, 6)$2, 289.14AAP==(b)$3,500(/, 6.7%, 7)$642.66AAP==(c)$6,500(/,3.5%,5)$1, 439.63AAP==(d)$32, 000(/,8.5%,15)$3,853.47AAP==3.32(a)The capital recovery factor),,/(NiPAforN6%7%350.06900.0772400.06650.0750To find)38%,25.6,/(PA, first, interpolate forN=38:N6%7%380.06750.0759Then, interpolate for%25.6=i;

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Page | 7(A/P, 6.25%, 38)=0.0696:As compared to the value from the interest formula:(A/P, 6.25%, 38)=0.0694(b)The equal payment series present-worth factor)85,,/(iAPfori9%10%11.10389.9970Then, interpolate for%25.9=i:8271.10)85%,25.9,/(=APAs compared to the value from the interest formula:8049.10)85%,25.9,/(=AP3.33Equal annual payment:$50, 000(/,12%,3)$20,817.45AAP==Interest payment for the second year:End of YearPrincipalRepaymentInterestpaymentRemainingBalance0$50,0001$14,817.45$6,000$35,182.552$16,595.54$4,221.91$18,587.013$18,587.01$2,230.4403.34$10, 000(/,9%,10)$1,558.2AAP==3.35(a)$1, 000(/, 6.8%,8)$6, 017.86PPA==(b)$3,500(/,9.5%,12)$24, 443.44PPA==(c)$1,900(/,8.25%,9)$11, 746.68PPA==

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Page | 8(d)$9,300(/, 7.75%,5)$37,378.16PPA==3.36P=$35,000(P/A,12%,10)=$197,758Since $200,000 > $197,758, You should not purchase the equipment.3.37(a)$3,875, 000$3,125, 000(/, 6%,1)...$8,875, 000(/, 6%, 7)$39,547, 241.99PPFPF=+++=(b)P=$1,375,000+$1,375,000(P/A,6%,7)=$9,050,774.48Since $9,050,774.48 > $8,000,000, the prorated payment option is better choice.Linear Gradient Series3.38$10, 000(/,8%,5)$3, 000(/,8%, 5)$10, 000(/,8%,5)$3, 000(/,8%,5)(/, 8%, 5)$91,163.55FFAFGFAAGFA=+=+=3.39$7,500(/,8%,5)$1,500(/,8%,5)$7,500(/,8%,5)$1,500(/,8%,5)(/, 8%, 5)$27, 750.74FFAFGFAPGFP===3.40$100[$100(/,9%, 7)$50(/,9%, 6)$50(/,9%,4)$50(/, 9%, 2)](/, 9%, 7)$991.32PFAFAFAFAPF=++++=3.41$15, 000$1, 000(/, 8%, 12)$10, 404.25AAG==

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Page | 93.42$1, 000(/, 6%,5)$250(/, 6%,5)$6,196PPAPG=+=3.43Using the geometric gradient series present worth factor, we can establishthe equivalence between the loan amount $120,000 and the balloon paymentseries as38.684,25$6721.4)5%,9%,10,/(000,120$1111===AAAPAPayment seriesNPayment1$25,684.382$28,252.823$31,078.104$34,185.915$37,604.513.441$6, 000(/,5%, 7%,30)(/, 7%,30)$987, 093.8FPAFP==3.45(a)076,372,21$)7%,12%,10,/(000,000,6$1==APP(b)Note that the oil price increases at the annual rate of 5% while the oilproduction decreases at the annual rate of 10%. Therefore, the annualrevenue can be expressed as follows:1111$60(10.05)100, 000(10.1)$6, 000, 000(0.945)$6, 000, 000(10.055)nnnnnA=+==This revenue series is equivalent to a decreasing geometric gradient serieswithg= -5.5%. So,1$6, 000, 000(/,5.5%,12%,7)$23,847,897PPA==

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Page | 10(c)Computing the present worth of the remaining series4567(,,,)AAAAat the endof period 3 gives3446, 000, 000(10.055)5, 063, 451.75$5, 063, 451.75(/,5.5%,12%, 4)$14, 269, 627.82APPA====3.462012011201(1)(2, 000, 000) (1.06)(1.06)1.06(2, 000, 000 /1.06)()1.06$396, 226, 415nnnnnnnnPAinn====+===3.47(a)The withdrawal series would bePeriodWithdrawal11$12,00012$12,000(1.08)13$12,000(1.08)(1.08)14$12,000(1.08)(1.08)(1.08)15$12,000(1.08)(1.08)(1.08)(1.08)101$12, 000(/,8%,12%,5)$49,879.14PPA==Assuming that each deposit is made at the end of each year, then:$49, 879.14=A(F/A,12%,10)A=$2, 842.32(b)101$12, 000(/,8%,9%,5)$54, 045.08PPA==$54, 045.08=A(F/A, 9%,10)A=$3, 557.25

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Page | 11Various Interest Factor Relationships3.48(a)(P/F, 8%, 67)=(P/F, 8%,50)(P/F,8%,17)=0.0058(P/F, 8%, 67)=(1+0.08)67=0.0058(b)),,/(1),,/(NiFPiNiPA=0394.0)2%,8,/)(40%,8,/()42%,8,/(==FPFPFP0833.00394.0108.0)42%,8,/(==PA0833.01)08.1()08.1(08.0)42%,8,/(4242==PA(c)4996.1208.0)35%,8,/)(100%,8,/(1),,/(1),,/(===FPFPiNiFPNiAP(P/A, 8%,135)=(1.08)13510.08(1.08)135=12.49963.49(a)NNNNiiiiiiNiAFiNiPF)1(11)1(11)1()1(1),,/(),,/(+=++=++=++=(b)NNNNNNNNiiiiiiiiiiiNiAPNiFP+=++++=++=+=)1()1(1)1()1()1()1(1)1(1)1(),,/(1),,/(
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