Solved: A young engineers starting salary is $55,000.

Compute the rate of return for the following cashflow to within1/2%.Year CashFlow0$100110+27

The Diagonal Stamp Company, which sells usedpostage stamps to collectors, advertises that itsaverage price has increased from $1 to $5 in the last5 years. Thus, management states, investors who hadpurchased stamps from Diagonal 5 years ago wouldhave received a 100% rate of return each year.(a)To check their calculations, compute the annualrate of return.(b)Why is your computed rate of return less than100%?

A table saw costs$175ata localstore. Youmay eitherpay cash for it or pay $35 now and $12.64 a monthfor 12 monthsbeginning 30 dayshence.If youchoosethe time payment plan, what nominal annual interestrate will you be charged

An investment of $5000 in Biotech common stockproved to be very profitable. At the end of 3 yearsthe stock was sold for $25,000. What was the rate ofreturn on the investment?

Helen is buying a $12,375 car with a $3000 downpayment, followed by 36 monthly payments of $325each.The down paymentis paid immediately, and themonthly payments are due at the end of each month.What nominal annual interest rate is Helen pay-ing? What effective interest rate?

Peter Minuit bought an island from the ManhattoesIndians in 1626 for $24 worth of glass beads andtrinkets.The 1991estimate ofthe valueof landon thisisland was $12 billion. What rate of return would theIndians have received if they had retainedtitle to theisland rather than selling it for$24?

An engineer invests $5800 at the end of every yearfor a 35-year career. If the engineer wants $1 millionin savings at retirement, what interest rate must theinvestment earn?

A mining firm makes annual deposits of $250,000into a reclamation fund for 20 years. If the firmmust have $10 million when the mine is closed, whatinterest rate must the investment earn?

You spend $1000 and in return receive two paymentsof $1094.60one at the end of 3 years and the otherat the end of 6 years. Calculate the resulting rate ofreturn

Your cat just won the local feline lottery to the tuneof 3000 cans of 9-Lives cat food (assorted flavors).A local grocer offers to take the 3000 cans and inreturn, supply 30 cans a month for the next 10 years.What rate of return, in terms of nominal annual rate,will you realize on this deal? (Compute to nearest0.01%.)

A woman went to the Beneficial Loan Company andborrowed $3000. She must pay $119.67 at the end ofeach month for the next 30 months.(a)Calculate the nominal annual interest rate she ispaying to within0.15%.(b)What effective annual interest rate is she paying?

YourcousinJeremyhas askedyouto bankrollhis pro-posed business painting houses in the summer. Heplans to operate the business for 5 years to pay hisway through college. He needs $5000 to purchase anold pickup, some ladders, a paint sprayer, and someother equipment. He is promising to pay you $1500at the end of each summer (for 5 years) in returnfor this investment. Calculate your annual rate ofreturn.

An investor has invested $250,000 in a new rentalproperty. Her estimated annual costs are $6000 andannual revenues are $20,000. What rate of return peryear will the investor make over a 30-year periodignoring the salvagevalue?If the property canbe soldfor $200,000 what is the rate of return?

Installing an automated production system costing$278,000 is initially expected to save Zia Corpo- ration $52,000 in expenses annually. If the systemneeds $5000 in operating and maintenance costseach year and has a salvage value of $25,000 at Year10, what is the IRR of this system? If the company wants to earn at least 12% on all investments, shouldthis system be purchased?

For the following diagram, compute the IRR towithin1/2%.

For the following diagram, computethe rate ofreturn

Consider the following cash flow:Year Cash Flow0$5001 2002 1503 100450Compute the rate of return represented by the cashflow.

Switching to powder coating technology will reducethe emission of volatile organic carbons (VOCs) for afirms productionprocess.Theinitial costis$200,000with annualcosts of$50,000 andrevenuesof $90,000in the first year. Revenues are projected to increase by $2000 annually after Year 1. The sal- vage value 10 years from now is projected to be$30,000. What rate of return will the firm make onthis investment?

Consider the following cash flow:Year CashFlow0$1000102 3003 3004 3005 300Compute the rate of return on the $1000 investmentto within 0.1%

A bank proudly announces that it has changed itsinterest computation method to continuous com- pounding.Now $2000 left in the bank for 9 years willdouble to $4000.(a)What nominal interest rate, compoundedcontinuously, is the bank paying?(b)What effective interest rate is it paying?

Compute the rate of return for the following cashflowto within 0.5%.Year CashFlow0$640102 1003 2004 3005 300

Compute the rate of return for the following cashflow.Year CashFlow15$23361000

For Example 7-10, find the rate of return on theLeaseco proposal compared with doing nothing

For the following diagram, compute the interest rateat which the costs are equivalent to the benefits

For the following diagram, compute the rate of returnon the $3810 investment.

For the following diagram,computethe rate of return.

Consider the following cash flow:Year CashFlow0$400102 2003 1504 100550Write one equation, withias the only unknown, forthe cash flow. In the equation you are not to use morethan two single payment compound interest factors.(You may use as many other factors as you wish.)Then solve your equation fori.

You have just been elected into the Society ofHonorable Engineers. First-year dues are waived inhonor of your election. Thus, your first-payment of$200 is due at the end of the year, and annual duesare expected to increase 3% annually. After 40 yearsyou become a life member and no further dues areowed. Instead of paying annual dues, however, youcan pay a one-time $2000 life membership fee.(a)Show the equation for determining the rate ofreturn for buying a life membership.(b)What is the rate of return?

For Problem 7-1, graph the PW versus the interestrate for values from 0% to 50%. Is this the typicalPW graph for an investment?

For Problem 7-21, graph the PW versus the interestrate for values from 0% to 50%. Is this the typical PWgraph for an investment?

A man buys a corporate bond from a bond brokeragehouse for $925. The bond has a face value of $1000and pays 4% of its face value each year. If the bondwill be paid off at the end of 10 years, what rate ofreturn will the man receive?

A well-known industrial firm has issued $1000bondsthat carry 4% nominalannualinterest paid semiannu-ally. The bonds mature 20 years from now, at whichtime the industrial firm will redeem them for $1000plus the terminal semiannual interest payment. Fromthe financial pages of your newspaper you learn thatthe bonds may be purchased for $715 each ($710 forthe bond plus a $5 sales commission). What nominalannual rate of return would you receive if you pur-chased the bond now and held it to maturity 20 yearsfrom now?

On April 2, 1998, an engineer bought a $1000 bondof an American airline for $875. The bond paid 6%on its principal amount of $1000, half in each of itsApril 1 and October 1 semiannualpayments;it repaidthe $1000 principal sum on October 1, 2011. Whatnominal rate of return did the engineer receive fromthe bond if he held it to its maturity (on October 1,2011)?

Mildred can purchase a municipal bond with a par(face) value of $5000 that will mature in 31/2 years.The bond pays 8% interest compounded quarterly. Ifshe can buy this bond for $4800, what rate of returnwill she earn?

Mike buys a corporate bond with a face value of$1000 for $900. The bond matures in 10 years andpays a coupon interest rate of 6%. Interest is paidevery quarter.(a)Determine the effective rate of return if Mikeholds the bond to maturity.(b)What effective interest rate will Mike get if hekeeps the bond for only 5 years and sells it for$950?

A 12%, $50,000 bond is offered for sale at $45,000.If the bond interest is payable monthly and the bondmatures in 20 years, what nominal and effective ratesof return per year will the purchaser make on theinvestment?

An investor purchased a 5%, $5000 bond for $4000.The interest was payable quarterly, and the bondsmaturity was 20 years. The bond was kept for only 9years and sold for $4200 immediately after the 36thinterest payment was received. What nominal andeffective rates of return per year were made on thisinvestment?

At what coupon interest rate will a $20,000 bondyield a nominal 12% interest compounded quarterlyif the purchaser pays $18,000 and the bond becomesdue in 20 years? Assume the bond interest is payablequarterly.

A 9%, $10,000bondthat hasinterest payablesemian-nually sells for $8500. Determine what the maturitydate should be so that the purchasermay enjoy a 12%nominal rate of return on this investment.

ABC Corporations recently issued bonds payinginterest semiannually and maturing in 10 years. Theface value of each bond is $1000, and 6.8% is thenominal interest rate.(a)What is the effective interest rate an investorreceives?(b)If a 0.75% fee is deducted by the brokeragefirm from the initial$1000, what is the effectiveannual interest rate paid by ABC Corporation?

ABC Corporation is issuing somezero couponbonds,which pay no interest. At maturity in 20 years theypay a face value of $10,000. The bonds are expectedto sell for $3118 when issued.(a)What is the effective interest rate an investorreceives?(b)A 1% fee (basedon the face value) is deductedbythe brokerage firm from the initial sales revenue.What is the effective annual interest rate paid byABC Corporation?

The cash price of a machine tool is $3500.The dealeris willing toaccept a $1200 down payment and 24end-of-month monthly payments of $110 each. Atwhat effective interest rate are these terms equiva-lent

A local bank makes auto loans. It charges 4% peryear in the following manner: if $3600 is borrowedto be repaid over a 3-year period, the bank interestcharge is($3600)(0.04)(3 years)=$432. The bankdeducts the $432 of interest from the $3600 loan andgives the customer$3168 in cash. The customer mustrepay the loan by paying1/36of $3600, or $100, atthe end of each month for 36 months. What nominalannual interest rate is the bank actually charging forthis loan?

Jan purchased 100 shares of Peach Computer stockfor $18 per share, plus a $45 brokerage commission.Every 6 months she received a dividend from Peachof 50 cents per share. At the end of 2 years, just afterreceiving the fourth dividend, she sold the stock for$23 per share and paid a $58 brokerage commissionfrom the proceeds.What annualrate of return did shereceive on her investment?

A used car dealer advertises financing at 0% interestover 3 years with monthly payments. You must paya processing fee of $250 at signing. The car you likecosts $6000.(a)What is your effective annual interest rate?(b)You believe that the dealer would accept $5200if you paid cash. What effective annual interestrate would you be paying, if you financed withthe dealer?

A new car dealer advertises financing at 0% inter-est over 4 years with monthly payments or a $3000rebate if you pay cash.(a)The car you like costs $12,000. What effectiveannual interest rate would you be paying if youfinanced with the dealer? (b)The car you like costs $18,000. What effectiveannual interest rate would you be paying if youfinanced with the dealer?(c)The car you like costs $24,000. What effectiveannual interest rate would you be paying if youfinanced with the dealer?

A used car dealer advertises financing at 4% interestover 3 years with monthly payments. You must paya processing fee of $250 at signing. The car you likecosts $6000.(a)What is your effective annual interest rate?(b)You believe that the dealer would accept $5200if you paid cash. What effective annual interestrate would be paying if you financed with thedealer?(c)Compare these answers with those for Problem7-45. What can you say about what matters themost for determining the effective interest rate?

Some laboratory equipment sells for $75,000. Themanufacturer offers financing at 8% with annual payments for 4 years for up to $50,000 of the cost.The salesman is willing to cut the price by 10% ifyou pay cash. What is the interest rate you would payby financing?

A home mortgage with monthly payments for 30years is available at 6% interest. The home you arebuying costs $120,000, and you have saved $12,000to meet the requirement for a 10% down payment.The lender charges points of 2% of the loan valueas a loan origination and processing fee. This fee isadded to the initial balance of the loan.(a)What is your monthly payment?(b)If you keep the mortgage until it is paid off in 30years, what is your effective annual interest rate?(c)If you move to a larger house in 10 years and payoff the loan, what is your effective annualinterestrate?(d)If you are transferred in 3 years and pay offthe loan, what is your effective annual interestrate?

A finance company is using the Money by Mailoffer shown in Table P750. Calculate the yearlynominal IRR received by the company if a customerchooses the loan of $2000 and accepts the creditinsurance (life and disability).

A finance company is using the Money by Mailoffer shown in Problem 7-50. Calculate the yearlynominal IRR received by the company if a cus-tomer chooses the $3000 loan but declines the creditinsurance.

An investor boughta one-acre lot on the outskirts of acity for $9000 cash. Each year she paid $80 of prop-erty taxes. At the end of 4 years, she sold the lot fora net value of $15,000. What rate of return did shereceive on her investment

A mine is for sale for $240,000.It is believed the minewill produce a profit of $65,000 the first year, but theprofit will decline $5000 a year after that, eventuallyreaching zero, whereupon the mine will be worthless.What rate of return would this $240,000 investmentproduce for the purchaser of the mine?

An apartment building in your neighborhood is forsale for $140,000. The building has four units, whichare rented at $500 per month each. The tenantshave long-term leases that expire in 5 years. Main-tenance and other expenses for care and upkeep are$8000 annually.A new university is being built in thevicinity and it is expected that the building could besold for $160,000 after 5 years.(a)What is the internal rate of return for this invest-ment?(b)Should this investment be accepted if the otheroptions have a rate of return of 12%?

A new machinecan be purchasedtoday for $300,000.The annual revenue from the machine is calculatedto be $67,000, and the equipment will last 10 years.Expect the maintenance and operating costs to be$3000 a year and to increase $600 per year. The sal-vage value of the machine will be $20,000. What isthe rate of return for this machine?

An insurance company is offering to sell an annuityfor $20,000 cash. In return the firm will guarantee topay the purchaser 20 annual end-of-year payments,with the first payment amounting to $1100. Subse-quent payments will increase at a uniform 10% rateeach year (second payment is $1210; third payment is $1331, etc.). What rate of return would someonewho buys the annuity receive?

Fifteen families live in Willow Canyon. Althoughseveral water wells have been drilled,none hasproduced water. The residents take turns driving awater truck to a fire hydrant in a nearby town. Theyfill the truck with water and then haul it to a stor-age tank in Willow Canyon. Last year truck fuel andmaintenance cost $3180. This year the residents areseriously considering spending $100,000 to install apipeline from the nearby town to their storage tank.What rate of return would the Willow Canyon resi-dents receive on their new water supply pipeline ifthe pipeline is considered to last(a)Forever?(b)100 years?(c)50 years?(d)Would you recommend that the pipeline beinstalled? Explain.

An investor bought 100 shares of Omega commonstock for $9000.He held the stock for 9 years. For thefirst 4 years he received annualend-of-year dividendsof $800. For the next 4 years he received annual divi-dends of $400. He received no dividend for the ninthyear. At the end of the ninth year he sold his stockfor $6000. What rate of return did he receive on hisinvestment?

One aspect of obtaining a college education is theprospect of improved future earnings in comparisonto non-college graduates. Sharon Shay estimates thata college education has a $28,000 equivalent cost atgraduation. She believes the benefits of her educationwill occur throughout 40 years of employment. Shethinks that during the first 10 years out of college,her income will be higher than that of a non-collegegraduate by $3000 per year. During the subsequent10 years, she projects an annual income that is $6000per year higher. During the last 20 years of employ-ment, she estimates an annual salary that is $12,000above the level of the non-college graduate. If herestimates are correct, what rate of return will shereceive as a result of her investment in a collegeeducation?

Upon graduation, every engineer must decidewhether to go on to graduate school. Estimate thecosts of going full time to the university to obtain amaster of science degree. Then estimate the resulting costs and benefits. Combine the various conse-quences into a cash flow table and compute the rateof return. Nonfinancialbenefits are probably relevanthere too

A popular magazine offers a lifetime subscription for$200. Such a subscription may be given as a gift toan infant at birth (the parents can read it in thoseearly years), or taken out by an individual for him- self. Normally, the magazine costs $12.90 per year.Knowledgeable people say it probably will continueindefinitely at this $12.90 rate. What rate of returnwould be obtained if a life subscription were pur-chased for an infant, rather than paying $12.90 peryear beginning immediately? You may make anyreasonable assumptions, but the compound interestfactors must becorrectlyused.

The following advertisement appeared in theWallStreet Journalon Thursday, February 9, 1995:Theres nothing quite like the SevilleSmartLease. Seville SLS $0 down,$599 amonth/36 months.Terms are first months lease payment of $599 plus$625 refundable security deposit and a consumerdown payment of $0 for a total of $1224 due atlease signing. Monthly payment is based on a netcapitalized cost of $39,264 for total monthly pay-ments of $21,564. Payment examples based on a1995 Seville SLS:$43,658 MSRP including desti-nation charge. Tax, license, title fees, and insuranceextra. Option to purchase at lease end for $27,854.Mileage charge of $0.15 per mile over 36,000 miles.(a)Set up the cash flows.(b)Determine the interest rate (nominal and effec-tive) for the lease

An engineering student is deciding whether to buytwo 1-semester parking permits or an annual permit.The annual parking permit costs $100 due August15th, and the semester permits are $65 due August15thand January 15th. What is the rate of return forbuying the annual permit?

An engineering student is deciding whether to buytwo 1-semester parking permits or an annual per- mit. Using the dates and costs for your university,find the rate of return for the incremental cost of theannual permit.

An engineering firm can pay for its liability insuranceon an annual or quarterly basis. If paid quarterly,the insurance costs $18,000. If paid annually, the insurance costs $65,000. What are the quarterly rateof return and the nominal and effective interest ratesfor paying on an annual basis?

An engineering firm can pay for its liability insuranceon an annual or quarterly basis. If paid quarterly, theinsurance costs $18,000. If paid annually, the insur-ance costs$65,000.Use a spreadsheetto calculate theexact quarterly interest rate for paying on an annualbasis.

An engineering student must decide whether to payfor auto insurance on a monthly or an annual basis. Ifpaid annually, the cost is $1650. If paid monthly, thecost is $150 at the start of each month. What is therate of return for buying the insurance on an annualbasis?

For your auto or home insurance, find out the costof paying annually or on a shorter term. What is therate of return for buying the insurance on an annualbasis?

Two alternatives are as follows:YearAB0$2000$28001 800 11002 800 11003 800 1100If 5% is considered the minimum attractive rate ofreturn, which alternative should be selected?

Consider two mutually exclusive alternatives:YearXY0$100$50.01 35 16.52 35 16.53 35 16.54 35 16.5If the minimum attractive rate of return is 10%,whichalternative should be selected?

Two mutually exclusive alternatives are beingconsidered. Both have a 10-year useful life. If theMARR is 8%, which alternative is preferred?ABInitial cost$100.00 $50.00Uniform annual benefit 19.93 11.93

Consider two mutually exclusive alternatives:YearXY0$5000$5000130020002 4000 20003 4000 20004 4000 2000If the MARR is 8%, which alternative should beselected?

Two mutually exclusive alternatives are being con-sidered. Both have lives of 5 years. AlternativeAhasa first cost of $2500 and annual benefits of $746.AlternativeBcosts $6000 and has annual benefits of$1664If the minimum attractive rate of return is 8%,which alternative should be selected? Solve the prob-lem by(a)Present worth analysis(b)Annual cash flow analysis(c)Rate of return analysi

A contractor is considering whether to buy or leasea new machine for her layout site work. Buyinga new machine will cost $12,000 with a salvagevalue of $1200 after the machines useful life of8 years. On the other hand, leasing requires anannual lease payment of $3000. Assuming that theMARR is 15% and on the basis of an internal rateof return analysis, which alternative should the con-tractor be advised to accept? The cash flows are asfollows:Year (n)Alt.A(buy) Alt.B(lease)0$12,000$3000130002300033000430005300063000730008+12000

Two hazardous environment facilities are beingevaluated, with the projected life of each facil-ity being 10 years. The cash flows are asfollows: Alt.AAlt.BFirst cost $615,000 $300,000Maintenance and 10,000 25,000operating costAnnual benefits 158,000 92,000Salvage value 65,0005,000The company uses a MARR of 15%. Using rate ofreturn analysis,which alternative should be selected?

The owner of a corner lot wants to find a use that willyield a desirable return on his investment.After muchstudy and calculation, the owner decides that the twobest alternatives are:Build SoftBuild Ice CreamGas Station StandFirst cost$80,000 $120,000Annual property taxes 3,000 5,000Annual income11,000 16,000Life of building, in years 20 20Salvage value00If the ownerwantsa minimum attractive rate of returnon his investmentof6%, which ofthe two alternativeswould you recommend?

A grocery distribution center is considering whetherto invest in RFID or bar code technology to trackits inventory within the warehouse and truck load-ing operations. The useful life of the RFID and barcode devices is projected to be 5 years with minimalor zero salvagevalue. The bar codeinvestment costis$100,000andcan be expectedto save at least$50,000in product theft and lost items annually. The RFIDsystem is estimated to cost $200,000 and will save$30,000 the first year, with an increase of $15,000annually after the first year. For a 5% MARR, shouldthe managerinvest in the RFID system or the bar codesystem? Analyze incrementally using rate of return.

A states department of transportation (DOT) is con-sidering whether to buy or lease an RFID trackingsystem for asphalt, concrete, and gravel trucks to beused in road paving. Purchasing the RFID systemwill cost $5000 per truck, with a salvage value of$1500 after the RFID systems useful life of 5-years.However, the DOT considering this purchase is also looking at leasing this same RFID system for anannual payment of $3500, which includes a fullreplacement warranty. Assuming that the MARR is11%and on the basis ofan internal rate of return anal-ysis, which alternative would you advise the DOT toconsider? Analyze incrementally using rate of return.The number of trucks used in a season varies from5000 to 7500. Does this matter?

After 15 years of working for one employer, youtransfer to a new job. During each of these yearsyour employer contributed (that is, she diverted fromyour salary) $1500 to an account for your retirement(a fringe benefit), and you contributed a matchingamount each year. The whole fund was invested at5% during that time, and the value of the accountnowstands at $30,000.You are now faced with two alternatives. (1) Youmay leave both contributions in the fund until retire-ment in 35 years,during which you will get the futurevalue of this amount at 5% interest per year. (2) Youmay take out the total value of your contributions,which is $15,000 (one-half of the total $30,000). Youcan do as you wish with the money you take out, butthe other half will be lost as far as you are concerned.In other words, you can give up $15,000 today for thesakeof getting the other$15,000now.Otherwise,youmust wait 35 years to get the accumulated value ofthe entire fund. Which alternative is more attractive?Explain your choice.

In his will, Franks uncle has given Frank the choicebetween two alternatives:Alternative 1 $2000 cashAlternative 2 $150 cash now plus $100 permonth for 20 months beginningthe first day of next month(a)At what rate of return are the two alternativesequivalent?(b)If Frank thinks the rate of return in(a)is too low,which alternative should he select?

A bulldozer can be purchased for $380,000 and usedfor 6 years, when its salvage value is 15% of the firstcost.Alternatively, it can be leasedfor $60,000a year.(Remember that lease payments occur at the start ofthe year.) The firms interest rate is 12%.(a)What is the interest rate for buying versusleasing? Which is the better choice? b)If the firm will receive $65,000 more each yearthan it spends on operating and maintenancecosts, should the firm obtain the bulldozer? Whatis the rate of return for the bulldozer using thebest financing plan?

A diesel generator for electrical power can be pur-chased by a remote community for $480,000 andused for 10 years, when its salvage value is $50,000.Alternatively, it can be leased for $70,000 a year.(Remember that lease payments occur at the start ofthe year.) The communitys interest rate is 8%.(a)What is the interest rate for buying versusleasing? Which is the better choice?(b)The community will spend $80,000 less eachyear for fuel and maintenance, than it currentlyspendsonbuying power.Shouldit obtain the gen-erator? What is the rate of return for the generatorusing the best financing plan?

Two alternatives are being considered:ABFirst cost$9200 $5000Uniform annual benefit 1850 1750Useful life, in years 8 4If the minimum attractive rate of return is 7%, whichalternative should be selected?

Jean has decided it is time to buy a new battery forher car. Her choices are:Zappo KickoFirst cost$56 $90Guarantee period, in months 12 24Jeanbelieves the batteries can beexpectedto lastonlyfor the guarantee period. She does not want to investextra money in a battery unless she can expect a 50%rate of return. If she plans to keep her present caranother 2 years, which battery should she buy?

Two alternatives are being considered:ABInitial cost$9200 $5000Uniform annual benefit 1850 1750Useful life, in years 8 4Base your computations on a MARR of 7% and an8-year analysis period. If identical replacement isassumed, which alternative should be selected?

Two investment opportunities are as follows:ABFirst cost$150 $100Uniform annual benefit25 22.25End-of-useful-life salvage value 20 0Useful life, in years15 10At the end of 10 years, Alt.Bis not replaced. Thus,the comparison is 15 years ofAversus 10 years ofB. If the MARR is 10%, which alternative should beselected?

The Southern Guru CopperCompany operatesa largemine in a South American country. A legislator inthe National Assembly said in a speech that most ofthe capital for the mining operation was provided byloans from the World Bank; in fact, Southern Guruhas only $500,000of its own money actually investedin the property. The cash flow for the mine is:Year Cash Flow0$0.5M13.5M20.9M33.9M48.6M54.3M63.1M76.1MThe legislator divided the $30.4 million total profit bythe $0.5 million investment. This produced, he said,a 6080% rate of return on the investment. SouthernGuru, claiming the actual rate of return is much lower,asks you to compute it.

A young engineers starting salary is $52,000. Theengineer expects annual raises of 3%. The engineerwill deposit 10% of the annual salary at the end ofeach year in a savings account that earns 4%. Howmuch will the engineer have saved for starting abusiness after 15 years? We suggest that the spread-sheet include at least columns for the year, the yearssalary, the years deposit, and the years cumulativesavings

A young engineers starting salary is $55,000. Theengineer expects annual raises of 2%. The engineerwill deposit 10% of the annual salary at the end ofeach year in a savings account that earns 5%. Howmuch will the engineer have saved for retirementafter 40 years?

A young engineers starting salary is $55,000. Theengineer expects annual raises of 2%. The engineerwill depositaconstantpercentageofthe annualsalaryat the end of each year in a savings accountthat earns5%. What percentage must be saved so that there willbe $1 million in savings for retirement after 40 years?

Find the average starting engineers salary for yourdiscipline.Find andreferencea sourcefor the averageannual raise you can expect. If you deposit 10% ofyour annual salary at the end of each year in a sav-ings account that earns 4%, how much will you havesaved for retirement after 40 years?

Some lenders charge an up-front fee on a loan, whichis subtracted from what the borrower receives. Thisis typically described as points (where one pointequals 1% of the loan amount). The federal govern-ment requires that this be accounted for in the APRthat discloses the loans cost.(a)A 5-year auto loan for $18,000 has monthly pay-ments at a 9% nominal annual rate. If the bor-rower must pay a loan origination fee of 2 points,what is the true effective cost of the loan? Whatwould the APR be?(b)If the car is sold after 2 years and the loan ispaid off, what is the effective interest rate and theAPR?(c)Graph the effective interest rate as the time to sellthe car and pay off the loan varies from 1 to 5years.

Some lenders charge an up-front fee on a loan, whichis added to what the borrower owes. This is typicallydescribed as points (where one point equals 1% ofthe loan amount). The federal government requiresthat this be accounted for in the APR that disclosesthe loans cost.(a)A 30-year mortgage for $220,000 has monthlypayments at a 6% nominal annual rate. If a bor-rowers loan origination fee is 3% (3 points)and it is added to the initial balance, what is thetrue effective cost of the loan? What would theAPR be?(b)If the house is sold after 6 years and the loan ispaid off, what is the effective interest rate and theAPR?(c)Graph the effective interest rate as the time to sellthe house and pay off the loan varies from 1 to15 years.