Consider the following two mutually exclusive

Compute the EUAB for these cash flows based on a10% interest rate.

Compute the EUAC for these cash flows.

Compute the EUAB for these cash flows

If i=6%, compute the EUAB over 6 years that isequivalent to the two receipts shown

A loan of $1000 is to be repaid in three equal semian-nual(every 6 months)payments.If the annualinterestrate is 7% compounded semiannually, how much iseach payment?

When he started work on his twenty-second birthday,D. B. Cooper decided to invest money each monthwith the objective of becoming a millionaire by thetime he reaches age 65. If he expects his investmentsto yield 18% per annum, compounded monthly, howmuch should he investeachmonth

The average age of engineering students atgraduation is a little over 23 years. This meansthat the working career of most engineers is almostexactly 500 months. How much would an engineerneed to save each month to become a millionaireby the end of her working career? Assume a 15%interest rate, compounded monthly.

An engineer wishes to have $5 million by the time heretires in 40 years. Assuming 15% nominal interest,compounded continuously,what annual sum must heset aside?

For the diagram, compute the value ofDthatresults in a net equivalent uniform annual worth(EUAW) of 0.

An electronics firm invested $60,000 in a precisioninspection device. It cost $4000 to operate and main-tain in the first year and $3000 in each later year.At the end of 4 years, the firm changed their inspec-tion procedure, eliminating the need for the device.The purchasing agent was very fortunate to sell theinspection device for $60,000, the original price.Compute the equivalent uniform annual cost duringthe 4 years the device was used. Assume interest at10% per year

A firm is about to begin pilot plant operation, andit could add an optional heat exchanger unit. A unitis now available for $30,000, and it is estimatedthat the heat exchanger unit will be worth $35,000after 8 years for use in other company operations.This high salvage value is because the $30,000 pur-chase price is really a rare bargain. If 15% is anappropriate rate of return, what annual benefit isneeded to justify buying the heat exchanger unit?

A firm purchased some equipment at a very favor-able price of $30,000. The equipment resulted in anannualnetsavingof $1000per yearduring the 8 yearsit was used. At the end of 8 years, the equipment wassold for $40,000. Assuming interest at 8%, did theequipment purchase prove to be desirable?

A couple is saving for their newborn daughters col-lege education. She will need $25,000 per year for afour-year college program, which she will start whenshe is 17.What uniformdepositsstarting 3 yearsfromnow andcontinuing through year16 are needed,if theaccount earns 6% interest?

How much should a new graduate pay in 10 equalannual payments, starting 2 years from now, in orderto repay a $30,000 loan he has received today? Theinterest rate is 6% per year

A firm is buying an adjacent 1000-acre parcel fora future plant expansion. The price has been set at$30,000 per acre. The payment plan is 25% down,and the balance 2 years from now. If the transac- tion interest rate is 12% per year, what are the twopayments?

The managerof a small cleaning companyapplies fora $25,000 loan at an interest rate of 10% per year.He will repay the loan over 6 years with annual pay-ments. The third through sixth payments are $1500greater than the first two. Determine the size of thepayments.

Amanda and Blake have found a house, whichowing to a depressed real estate market costs only$201,500. They will put $22,000 down and financethe remainder with a 30-year mortgage loan fromBank of America at 4.65% interest (compoundedmonthly). a)How much is their monthly loan payment?(b)How much interest will they pay in the secondpayment?(c)They will also havethe following expenses:prop-erty taxes of $2100, homeowners insurance of$1625,and $290 mortgage insurance(in caseoneof them dies before the loan is repaid, a require-ment of the bank). These annual amounts arepaid in 12 installments and added to the loanpayment. What will Amanda and Blakes fullmonthly cost be?(d)If they can afford $1200 per month, can Amandaand Blake afford this house?

Helen purchases a new Ford Focus. She negotiatesa price of $18,400, trades in her 1993 Contour for$1700, puts down an additional $1000, and borrowsthe remainder for 3 years at 6% interest. How largewill her monthly payments be?

To reduce her personal carbon footprint, Zooey isbuying a new Ford Escape hybrid. She has negoti- ated a price of $21,900 and will trade in her old FordContour for $2350. She will put another $850 with itand borrow the remainderat 7%interest compoundedmonthly for 4 years. Prepare a payment schedule forthe first three months of payments

Zwango Plus Manufacturing expects that fixed costsof keeping its Zephyr Hills Plant operating will be$1.4 M this year. If the fixed costs increase by$100,000 each year, what is the EUAC for a 10- yearperiod? Assume the interest rate is 12%

For the diagram, compute the value ofCthat resultsin a net equivalent annual worth (EUAW) of 0

If interest is 10%, what is the EUAB?

The maintenance foreman of a plant in reviewing hisrecords found that a large press had the followingmaintenance cost record:5 years ago $ 6004 years ago 7003 years ago 8002 years ago 900Last year 1000After consulting with a lubrication specialist, hechanged the preventive maintenance schedule. Hebelieves that maintenance will be $900 this year andwill decrease by $100 a year in each of the following4 years. If his estimate of the future is correct, whatwill be the equivalent uniform annual maintenancecost for the 10-year period? Assume interest at 8%.

A motorcycle is for sale for $26,000. The dealer iswilling to sell it on the following terms:No down payment; pay $440 at the end ofeach of the first 4 months; pay $840 at theend of each month after that until the loanhas been paid in full.At a 12% annual interest rate compounded monthly,how many $840 payments will be required?

Art Arfons, a K-State-educated engineer, has made aconsiderable fortune. He wishes to start a perpetualscholarship for engineering students at K-State. Thescholarship will provide a student with an annualstipend of $2500 for each of 4 years(freshmanthrough senior), plus an additional $5000 during thesenioryearto cover job searchexpenses.Assumethatstudents graduate in 4 years, a new award is givenevery 4 years, and the money is paid at the beginningof each year with the first award at the beginning ofYear 1. The interest rate is 8%.(a)Determine the equivalent uniform annual cost(EUAC) of providing the scholarship.(b)How much money must Art donate to K-State?

A machine costs $20,000 and has a 5-year useful life.At the end of the 5 years, it can be sold for $4000.If annual interest is 8%, compounded semiannually,what is the equivalent uniform annual cost of themachine?

Mr. Wiggley wants to buy a new house. It will cost$178,000. The bank will loan 90% of the purchaseprice at a nominal interest rate of 10.75% com-poundedweekly,andMr. Wiggley will makemonthlypayments. What is the amount of the monthly pay-ments if he intends to pay the house off in 25 years?

Steve Lowe must pay his property taxes in two equalinstallments on December 1 and April 1. The twopayments are for taxes for the fiscal year that beginson July l and ends the following June 30. Stevepurchased a home on September 1. Assuming theannual property taxes remain at $850 per year forthe next several years, Steve plans to open a savingsaccount and to make uniform monthly deposits thefirst of each month. The account is to be used to paythe taxes when they are due.To open the account, Steve deposits a lump sumequivalentto the monthly paymentsthat will not havebeen made for the first years taxes. The savingsaccount pays 9% interest, compounded monthly andpayable quarterly (March 31, June 30, September 30,and December 31). How much money should Steveput into the account when he opens it on Septem-ber 1? What uniform monthly deposit should hemake from that time on?

Your company must make a $500,000 balloonpayment on a lease 2 years and 9 months fromtoday. You have been directed to deposit an amountof money quarterly, beginning today, to provide forthe $500,000 payment. The account pays 4% peryear, compounded quarterly. What is the requiredquarterly deposit?Note:Lease payments are due atthe beginning of the quarter

Linda OShay deposited$30,000in a savingsaccountas a perpetual trust. She believes the account willearn 7% annual interest during the first 10 years and5% interest thereafter. The trust is to provide a uni-form end-of-year scholarship at the university. Whatuniform amount could be used for the student schol-arship each year, beginning at the end of the first yearand continuing forever?

An engineer has a fluctuating future budget for themaintenance of a particular machine. During each ofthe first 5 years, $1000 per year will be budgeted.During the second 5 years, the annual budget will be$1500 per year. In addition, $3500 will be budgetedfor an overhaul of the machine at the end of the fourthyear, and another $3500 for an overhaul at the end ofthe eighth year. Theengineerasksyouto computethe uniform annualexpenditure that would be equivalent to these fluctu-ating amounts, assuming interest at 6% per year.

A machine has a first cost of $150,000, an annualoperation and maintenance cost of $2500, a life of10 years, and a salvage value of $30,000. At the endof Years 4 and 8, it requires a major service, whichcosts $20,000 and $10,000, respectively. At the endof Year 5, it will need to be overhauled at a cost of$45,000. What is the equivalent uniform annual costof owning and operating this particular machine?

There is an annual receipt of money that varies from$100 to $300 in a fixed pattern that repeats forever.If interest is 10%, compute the EUAB, also con-tinuing forever, that is equivalent to the fluctuatingdisbursements

If the owner earns 5% interest on her investments,determine the equivalent annual cost of owning a carwith the following costs (EOY=end of year).Initial down payment=$2200Annual payments=$5500, EOY1EOY4Prepaid insurance=$1500, growing 8% annuallyGas & oil & minor maintenance=$2000, growing10% annuallyReplacement tires=$650 at EOY4 & $800 at EOY8Major maintenance=$2400 at EOY5Salvage value=$3750 at EOY9

A construction firm needs a new small loader. It canbe leased from the dealer for 3 years for $5500 peryearincluding all maintenance,or it canbe purchasedfor $20,000.The firm expects the loaderto have a sal-vage value of $7000 after 7 years. The maintenancewill be $500 the first year and then it will increase by$300 each year. The firms interest rate is 12% per year. Compare the EUACs for leasing and buying theloader.

The Johnson Company pays $2000 a month to atrucker to haul wastepaper and cardboard to the citydump. The material could be recycled if the com-pany were to buy a $60,000 hydraulic press baler andspend $30,000 a year for labor to operate the baler.The baler has an estimated useful life of 30 yearsand no salvage value. Strapping material would cost$2000 per year for the estimated 500 bales a yearthat would be produced. A wastepaper company willpick up the bales at the plant and pay Johnson $23per bale for them. Use an annual cash flow analysisin working this problem.(a)If interest is 8%, is it economical to install andoperate the baler?(b)Would you recommend that the baler beinstalled?

Jenny McCarthy is an engineerfor a municipal powerplant. The plant uses natural gas, which is currentlyprovided from an existing pipeline at an annual costof $10,000 per year. Jenny is considering a project toconstruct a new pipeline. The initial cost of the newpipeline would be $35,000, but it would reduce theannual cost to $5000 per year. Assume an analysisperiod of 20 years and no salvage value for either theexisting or new pipeline. The interest rate is 6%.(a)Determine the equivalent uniform annual cost(EUAC) for the new pipeline.(b)Should the new pipeline be built?

Claude James, a salesman, needs a new car forbusiness use. He expects to be promoted to a super- visory job at the end of 3 years, and he will no longerbe on the road. The company reimburses salesmeneach month at the rate of 55?c per mile driven. Claudefinds that there are three different ways of obtaininghis chosen car:A.Pay cash: the price is $26,000.B.Lease the car: the monthly charge is $700 ona 36-month lease, payable at the end of eachmonth; at the end of the 3-year period, the caris returned to the leasing company.C.Lease the car with an option to buy at the end ofthe lease: pay $720 a month for 36 months; at theend of that time, Claude could buy the car, if hechooses, for $7000.Claude believes he should use a 12% interest rate. Ifthe car could be sold for $7500 at the end of 3 years,which method should he use to obtain it?

When he purchased his home, Al Silva borrowed$280,000 at 10% interest to be repaid in 25 equalannual end-of-year payments. After making 10payments, Al found he could refinance the balancedue on his loan at 9% interest for the remaining 15years.To refinance the loan, Al must pay the originallender the balance due on the loan, plus a penaltycharge of 2% of the balance due; to the new lenderhe also must pay a $1000 service charge to obtainthe loan. The new loan would be made equal to thebalance due on the old loan, plus the 2% penaltycharge, and the $1000 service charge. Should Alrefinance the loan, assuming that he will keep thehouse for the next 15 years? Use an annual cash flowanalysis in working this problem

A firm must decide whether to provide theirsalespeoplewith firm-owned cars or to pay a mileageallowance for their own cars. New cars would costabout $28,000 each and could be resold 4 yearslater for about $11,000 each. Annual operating costswould be $1200 per year plus 24?c per mile. If thesalespeople drove their own cars, the firm would pay50?cper mile. How many miles must eachsalespersondrive each year for it to be economically practical forthe firm to provide the cars? Assume a 10% annualinterest rate. Use an annual cash flow analysis

The town of Dry Gulch needs more water from PineCreek. The town engineer has selected two plans forcomparison: agravity plan(divert water at a point10 miles up Pine Creek and pipe it by gravity to thetown) and apumping plan(divert water at a pointcloser to town). The pumping plant would be built intwo stages, with half-capacity installed initially andthe other half installed 10 years later.The analysis will assume a 40-year life, 10%interest, and no salvage value. Use an annual cashflow analysis to find which plan is more economical.Gravity PumpingInitial investment$2,800,000 $1,400,000Additional investment in None 200,00010thyearOperation and maintenance 10,000/yr 25,000/yrPower costAverage first 10 years None 50,000/yrAverage next 30 years None 100,000/yr

A manufactureris considering replacing a productionmachine tool. The new machine, costing $37,000,would have a life of 4 years and no salvage value,but would save the firm $5000 per year in directlabor costs and $2000 per year in indirect laborcosts. The existing machine tool was purchased 4years ago at a cost of $40,000. It will last 4 moreyears and will have no salvage value. It could be soldnow for $10,000 cash. Assume that money is worth8% and that differences in taxes, insurance, and soforth are negligible. Use an annual cash flow analy-sis to determine whether the new machine should bepurchased

Two possible routes for a power line are under study.Data on the routes are as follows:Around Underthe Lake the LakeLength15 km 5 kmFirst cost$5000/km $25,000/kmMaintenance $200/km/yr $400/km/yrUseful life, in years1515Salvage value $3000/km $5000/kmYearly power loss $500/km $500/kmAnnual property taxes 2% of first cost 2% of first costIf 7% interest is used, should the power line berouted around the lake or under the lake? (Answer:Around the lake.)

An oil refinery must now begin sending its wasteliquids through a costly treatment process beforedischarging them into a nearby stream. The engi-neering department estimates costs at $300,000 forthe first year. It is estimated that if process and plantalterations are made, the waste treatment cost willdecline $30,000 each year. As an alternate, a spe-cialized firm, Hydro-Clean, has offered a contract toprocess the waste liquids for 10 years for a fixed priceof $150,000 per year, payable at the end of each year.Either way, there should be no need for waste treat-ment after 10 years. The refinery manager considers8% to be a suitable interest rate. Use an annual cashflow analysis to determine whether the Hydro-Cleanoffer should be accepted

Bill Anderson buys a car every 2 years as follows:initially he makes a down payment of$6000 on a$15,000 car. The balance is paid in 24 equal monthlypayments with annual interest at 12%. When he hasmade the last payment on the loan, he trades in the2-year-old car for $6000 on a new $15,000 car, andthe cycle begins over again.Doug Jones decided on a different purchaseplan. He thought he would be better off if he paid$15,000 cash for a new car. Then he would make amonthly deposit in a savings account so that, at theend of 2 years, he would have $9000 in the account.The $9000 plus the $6000 trade-in value of the carwill allow Doug to replace his 2-year-old car by pay-ing $9000 for a new one. The bank pays 6% interest,compounded quarterly.(a)What is Bill Andersons monthly payment to payoff the loan on the car?(b)After he purchased the new car for cash, howmuch per month should Doug Jones deposit inhis savingsaccountto haveenoughmoney for thenext car 2 years hence?(c)Why is Dougs monthly savings account depositsmaller than Bills payment?

Two mutually exclusive alternatives are beingconsidered.YeAr B0$3000$50001 845 14002 845 14003 845 14004 845 14005 845 1400One of the alternatives must be selected. Using a15% nominal interest rate, compounded continu-ously, determine which one. Solve by annual cashflow analysis.

North Plains Biofuels (NPB) has negotiated a con-tract with an oil firm to sell150,000 barrels of ethanolper year, beginning in end of year (EOY) 4. Theoil firm will pay NPB $10M annually beginningfrom EOY0 to EOY3 and then $110 per barrel fromEOY4 through EOY13.If NPB an interest rate of15%, which method should be used to produce thebiofuels?

Which car has a lower EUAC if the owner can earn5% in his best investment.Contributed by Paul R. McCright, University ofSouth FloridaToyota ToyotaCorolla PriusInitial cost$19,200 $25,500Annual maintenance 1,000 1,500Annual gas & oil2,500 1,200(increasing 15% yearly)Salvage value (Year 8) 8,000 10,000

A firm is choosing between machines that performthe same task in the same time. Assume the mini- mum attractive return is 8%. Which machine wouldyou choose? (Answers: X=$1252;Y=$1106)MachineXMachineYFirst cost$5000 $8000Estimated life, in years 5 12Salvage value0 $2000Annual maintenance cost 0 150

A company must decide whether to buy MachineAor MachineB:MachineAMachineBInitial cost$10,000 $20,000Useful life, in years 4 10End-of-useful-lifesalvage value $10,000 $10,000Annual maintenance 1,0000 At a 10% interest rate, which machine should beinstalled? Use an annual cash flow analysis inworking this problem.

Consider the following two mutually exclusive alter-natives:ABCost$10,000 $15,000Uniform annual benefit 1,600 2,400Useful life, in years20AlternativeBmay be replaced with an identical itemevery 20 years at the same $15,000 costand will havethe same $2400 uniform annual benefit. Using a 10%interest rate and an annual cash flow analysis, whichalternative should be selected?

A pump is needed for 10 years at a remote loca-tion. The pump can be driven by an electric motorif a power line is extended to the site. Otherwise,a gasoline engine will be used. Use an annual cashflow analysis and a 10% interest rate. How should thepump be powered?Gasoline ElectricFirst cost$2400 $6000Annual operating cost 1200 750Annual maintenance 300 50Salvage value300 600Life, in years5 10

A suburban taxi company is considering buying taxiswith diesel engines instead of gasoline engines. Thecars average 50,000 km a year.Diesel GasolineVehicle cost$24,000 $19,000Useful life, in years54Fuel cost per liter68?c72?cMileage, in km/liter35 28Annual repairs$ 900 $ 700Annual insurance premium 1,000 1,000End-of-useful-life resale value 4,000 6,000Use an annual cash flow analysis to determine themore economical choice if interest is 6%.

The manager in a canned food processing plant istrying to decide between two labeling machines.MachineAMachineBFirst cost$15,000 $25,000Maintenance and 1,600 400operating costsAnnual benefit8,000 13,000Salvage value3,000 6,000Useful life, in years 710Assume an interest rate of 12%. Use annual cashflow analysis to determine which machine should bechosen.

Consider the following three mutually exclusivealternatives:ABCCost$10,000 $150,000 $20,000Uniform annual 1,000 1,762 5,548benefitUseful life,20 5in years. Assuming that AlternativesBandCare replacedwith identical units at the end of their useful lives,and an 8% interest rate, which alternative shouldbe selected? Use an annual cash flow analysis inworking this proble

Carp, Inc. wants to evaluate two methods of packag-ing their products. Use an interest rate of 15% andannual cash flow analysis to decide which is the mostdesirable alternative.ABFirst cost$700,000 $1,700,000Maintenance and 18,000 29,000operating costs+Cost gradient+900/yr+750/yr(begin Year 1)Annual benefit 154,000 303,000Salvage value 142,000 210,000Useful life, in years 10 20

A college student has been looking for new tires andhas found the following alternatives:Tire Warranty(months) Price per Tire12 $39.9524 59.9536 69.9548 90.00The student feels that the warranty period is a goodestimate of the tire life and that a 10% interest rateis appropriate. Using an annual cash flow analysis,which tire should be purchased?

Consider the following alternatives:ABCost$5000 $18,000Uniform annual benefit 1500 6,000Useful life, in years 10 5 The analysis period is 10 years, but there will be noreplacement for AlternativeBafter 5 years. Basedon a 15% interest rate, which alternative should beselected? Use an annual cash flow analysis.

Some equipment will be installed in a warehousethat a firm has leased for 7 years. There are twoalternatives:ABCost$1000 $1500Uniform annual benefit 550 610Useful life, in years3 4At any time after the equipment is installed, it hasno salvage value. Assume that AlternativesAandBwill be replaced at the end of their useful lives byidentical equipmentwith the same costs and benefits.For a 7-year analysis period and a 10% interest rate,use an annual cash flow analysis to determine whichalternative should be selected.

Uncle Elmo needs to replace the family privy.The local sanitary engineering firm has submittedtwo alternative structural proposals with respectivecost estimates as shown. Which construction shouldUncle Elmo choose if his minimum attractive rate ofreturn is 6%? Use both a present worth and annualcost approach in your comparison.Masonite BrickFirst cost$2500 $10,000Annual maintenance 200 100Salvage value100 1,000Service life, in years 4 20

Dick Dickerson Construction, Inc. has asked youto help them select a new backhoe. You have achoice between a wheel-mounted version, whichcosts $60,000 and has an expected life of 5 yearsand a salvage value of $2000, and a track-mountedone, which costs $80,000, with a 7-year life and anexpected salvage value of $10,000. Both machineswill achieve the same productivity. Interest is 8%.Which one will you recommend? Use a annualworthanalysis

A small manufacturing company is evaluating trucksfor delivering their products. TruckAhas a first costof $22,000, its operating cost will be $5500 per year,and its salvage after 3 years will be $7000. TruckBhas a first costof $27,000,an operating costof$5200,and a resale value of $12,000 after 4 years. At aninterest rate of 15% per year, which model should bechosen if an annual worth analysis is performed?

A job can be done with MachineAthat costs $12,500and has annual end-of-year maintenance costs of$5000; its salvage value after 3 years is $2000. Orthe job can be done with MachineB, which costs$15,000 and has end-of-year maintenance costs of$4000 and a salvage value of $1500 at the end of4 years. These investments can be repeated in thefuture, and your work is expected to continue indefi-nitely. Use present worth, annual worth, and capital-ized cost to compare the machines. The interest rateis 5%/year.

A student loan totals $18,000 at graduation. Theinterest rate is 6%, and there will be 60 paymentsbeginning 1 month after graduation. What is themonthly payment? What is owed after the first 2years of payments

The student in Problem 6-64 received $1500 as agraduation present.If an extra $1500 is paid at Month1, when is the final payment made? How much is it?

A new car is purchased for $12,000 with a 0%down, 9% loan. The loan is for 4 years. After making30 payments, the owner wants to pay off the loansremaining balance. How much is owed?

A year after buying her car, Anita has been offereda job in Europe. Her car loan is for $15,000 at a 9%nominal interest rate for 60 months. If she can sell thecar for $12,000, how much does she get to keep afterpaying off the loan?

a)You are paying off a debt at a nominal 8% peryear by paying $400 at the end of each quarterfor the next year. Find the interest paid in the last$400 payment.(b)If this debt were to be paid off in two equal pay-ments of $1650 at the end of this year and atthe end of the next year, find the interest paid inthe first $1650 payment. Again the loan rate is anominal 8% per year compounded quarterly

Sam can afford to spend $500 per month on a car. Hefigures he needs half of it for gas, parking, and insur-ance. He has been to the bank, and they will loan him100% of the cars purchase price. (Note:Ifhehadadown paymentsaved,then he could borrow at a lowerrate.)(a)If his loan is at a nominal 12% annual rate over36 months, what is the most expensive car he canpurchase?(b)The car he likes costs $14,000 and the dealer willfinance it over 60 months at 12%. Can he affordit? If not, for how many months will he need tosave his $500 per month.(c)What is the highest interest rate he can pay over60 months and stay within his budget if he buysthe $14,000 car now?

EnergyMax Engineering constructed a small officebuilding for their firm 5 years ago. They financedit with a bank loan for $450,000 over 15 years at12%interestwith quarterly paymentsandcompound-ing. The loan can be repaid at any time withoutpenalty. The loan can be refinancedthrough an insur-ance firm for 8% over 20 yearsstill with quarterlycompounding and payments. The new loan has a 5%loan initiation fee, which will be added to the newloan.(a)What is the balance due on the original mortgage(20 payments have been made in last 5 years)?(b)How much will Energy Maxs payments dropwith the new loan?(c)How much longer will the proposed loan run?

Supposeyou graduatewith a debtof $42,000 that youor someone must repay. One option is to pay off thedebt in constant amounts at the beginning of eachmonth over the next 10 years at a nominal annualinterest rate of 10%.(a)What is the constant beginning-of-month pay-ment?(b)Of the first payment, what is the interest and theprincipal paid?(c)Of the last payment, what is the interest and theprincipal paid?

A $78,000 mortgage has a 30-year term and a 9%nominal interest rate.(a)What is the monthly payment?(b)After the first year of payments, what is theoutstanding balance?(c)How much interest is paid in Month 13? Howmuch principal?

A $92,000 mortgage has a 30-year term and a 9%nominal interest rate.(a)What is the monthly payment?(b)After the first year of payments, what fraction ofthe loan has been repaid?(c)After the first 10 years of payments, what is theoutstanding balance?(d)How much interest is paid in Month 25? Howmuch principal?

A 30-year mortgage for $95,000 is issued at a 9%nominal interest rate.(a)What is the monthly payment?(b)How long does it take to pay off the mortgage, if$1000 per month is paid?(c)How long does it take to pay off the mortgage, ifdouble payments are made?

A 30-year mortgage for $145,000 is issued at a 6%nominal interest rate.(a)What is the monthly payment? b)How long does it take to pay off the mortgage, if$1000 per month is paid?(c)How long does it take to pay off the mortgage, if20% extra is paid each month?

Solve Problem 6-43 for the breakeven first cost perkilometer of going under the lake.

Redo Problem 6-53 to calculate the EUAW of thealternatives as a function of miles driven per yearto see if there is a crossover point in the decisionprocess. Graph your results

Set up Problem 6-36 on a spreadsheet and make allthe input data variable. Determine various scenarioswhich would make the baler economical.

Developa spreadsheetto solveProblem 6-41.Whatisthe breakeven cost of the additional pumping invest-ment in Year 10?\

An office building should last60 years,but this ownerwill sell it at 20 years for 40% of its construction cost.For the first 20 years it canbe leasedas Class A space,which is all this owner operates. When the buildingis sold, the lands cost will be recovered in full.$2.2MLand$4.1M Building$640,000 Annual operating and maintenance4% Annual property taxes and insurance(% of initial investment)(a)If the owner wants a 12% rate of return, what isthe required monthly leasing cost?(b)Assuming that the building is vacant 5% of thetime, what is the required monthly lease?(c)What is an example monthly cost per square footfor Class A space in your community?

A 30-unit apartment building should last 35 years,when it will need to be either replaced or undergomajor renovation. Assume the buildings value at 35years will be 10% of its construction cost. Assume it will be sold, and that the lands cost will be recoveredin full.$3.2M Land$4.8M Building$850,000 Annual operating and maintenance6% Annual property taxes and insurance(% of initial investment)12% Vacancy rate(a)If the owner wants a 15% rate of return, what isthe required monthly leasing cost for each unit?(b)If turning 2 units into an exercise facility woulddecrease the vacancy rate by 5%, would that be agood decision?