Question: The municipality of Duncan has financed a

> One hundred thousand dollars is to be distributed under a firm’s profit-sharing plan. Each of three managers is to receive 20% more than each of 26 production workers. How much will each manager and production worker receive?

> Fred has centralized the purchasing and record-keeping functions for his three pharmacies in a single office. The annual costs of the office are allocated to the three stores. The Hillside store is charged $1000 less than twice the charge to the Barnett

> To coordinate production in a three-stage manufacturing process, Stage B must be assigned 60% more workers than Stage A. Stage C requires three-quarters as many workers as Stage B. How should the site manager allocate 114 workers among the three stages?

> Mr. Parker structured his will so that each of his four children will receive half as much from the proceeds of his estate as his wife, and each of 13 grandchildren will receive one-third as much as each child. After his death, $759,000 remains after exp

> The tickets for a hockey game cost $19.00 for the blue section and $25.50 for the red section. If 4460 tickets were sold for a total of $93,450, how many seats were sold in each section?

> St. Lawrence Bus Lines is offered a contract for busing schoolchildren that will produce an annual profit of $70,000 for seven years. To fulfill the contract, St. Lawrence would have to buy three buses at a total cost of $433,000. At the end of the contr

> The retail price of a pair of skis consists of the wholesale cost to the retailer plus the retailer’s markup. If skis retailing for $712 are marked up by 60% of the wholesale cost, what is that wholesale cost?

> It takes 20 minutes of machine time to manufacture Product X and 30 minutes of machine time to manufacture Product Y. If the machine operated 47 hours last week to produce a combined total of 120 units of the two products, how many units of Y were manufa

> How many minutes is 12.5% of two hours?

> The annual net income of the SGR partnership is to be distributed so that Sven receives 30% less than George, and Robert receives 25% more than George. If the past year’s net income was $88,880, what amount should be allocated to each partner?

> 34 % of $ 133. 33 is what amount?

> What amount is 80% of $156.25?

> What amount is 62% of $99?

> Evaluate each of the following: a. 96 − (6 − 42) × 7 − 2 b. 81 ÷ (52 − 16) − 4(23 − 13) c. $ 827.69 1 + 0.125 × 273 365 + $ 531.49 ( 1 + 0.125 × 41 365 ) d. $ 550.45 ( 1 + 0.0875 × 195 365 ) − $376.29 1 + 0.0875 × 99 365 e. $ 1137 ( 1 + 0.0975 12 ) 2 + $

> Evaluate each of the following: a. (23 − 3)2 − 20 ÷ (2 + 23) b. (2 × 32 − 23)2 ÷ (10 − 4 × 5) c. $ 213.85 ( 1 − 0.095 × 512 ) d. $ 2315 1 + 0.0825 × 77 365 e. $ 325.75 ( 1 + 0.105 4 ) 2 f. $ 710 ( 1 + 0.0925 2 ) 3 g. $ 885.75 ( 1 + 0.0775 × 231 365 ) −

> A manufacturer’s sales rep can lease an automobile for five years at $385 per month payable at the beginning of each month, or purchase it for $22,500. He can obtain a loan at 9% compounded monthly to purchase the car. Should he lease or buy the car if:

> A company is considering two mutually exclusive investment projects. Each requires an initial investment of $25,000. Project A will generate an annual profit of $6000 for eight Page 637years and have a residual value of $5000. Project B’s profits are mor

> A company’s board of directors has imposed an $800,000 limit on capital spending for the current year. Management has identified the following five projects with positive NPVs. Which projects should be chosen?

> Huron Charters can purchase a sailboat for $100,000 down and a $60,000 payment due in one year. The boat would generate additional annual operating profits of $24,000 for the first five years and $15,000 for the next five years. New sails costing $16,000

> Rainbow Aviation needs an additional plane for five years. It can buy the plane for $360,000 using funds borrowed at 7.5% compounded monthly, and then sell the plane for an estimated $140,000 after five years. Alternatively, it can lease the plane for $5

> Joan, Stella, and Sue have agreed to form a partnership. For the original capital investment of $32,760, Sue agrees to contribute 20% more than Joan, and Joan agrees to contribute 20% more than Stella. How much will each contribute?

> The development of a new product will require the expenditure of $175,000 at the beginning of each of the next two years. When the product reaches the market in Year 3, it is expected to increase the firm’s annual profit by $50,000 for eight years. (Assu

> A proposed open-pit mine would require the investment of $3 million at the beginning of the first year and a further investment of $1 million at the end of the first year. Mining operations are expected to yield annual profits of $750,000, beginning in Y

> A firm can manufacture the same product with either of two machines. Machine C requires an initial investment of $55,000 and would earn a profit of $30,000 per year for three years. It would then be replaced, because repairs would be required too frequen

> Jurgen Wiebe has been transferred to Winnipeg for five years. He has found an attractive house that he can buy for $360,000 or rent for $1850 per month, payable at the beginning of each month. He estimates that the resale value of the house in five years

> The initial investment and expected profits from two mutually exclusive capital investments being considered by a firm are as follows: 1. Calculate the internal rate of return for each investment. Which one would be selected based on an IRR ranking? 2. W

> A company is examining two mutually exclusive projects. Project P requires an immediate investment of $300,000 and produces no profit until the fourth year. Then the expected annual profit is $120,000 for Years 4 to 7 inclusive. Project Q requires an inv

> A seven-year licence to distribute a product should increase the distributor’s profit by $16,000 per year. If the licence can be acquired for $85,000, what is the investment’s IRR?

> A new machine that will lead to savings in labour costs of $20,000 per year can be purchased for $80,000. However, it will cost $2000 per year for the first four years, and $3000 per year for the next four years to service and maintain the machine. In ad

> An investment of $400,000 will yield annual profits of $55,000 for eight years. The proceeds on disposition of the investment at the end of the eight years are estimated at $125,000. On the basis of its IRR and a 9% cost of capital, should the investment

> A $600,000 capital investment will produce annual profits of $90,000 for the first four years and $120,000 for the next four years. It will have no residual value. What is its IRR? Should the investment be undertaken if the cost of capital is 7%?

> A firm received a bill from its accountant for $3310, representing a combined total of 41 billable hours for both the Certified General Accountant (CGA) and her accounting technician for conducting the firm’s audit. If the CGA charges her time at $120 pe

> The introduction of a new product will require a $400,000 investment in demonstration models, promotion, and staff training. The new product will increase annual profits by $100,000 for the first four years and $50,000 for the next four years. There will

> A capital investment requiring one initial cash outflow is forecast to have the operating profits listed below. The investment has an NPV of $20,850, based on a required rate of return of 12%. Calculate the payback period of the investment.

> A potato farmer needs to buy a new harvester. Two types have performed satisfactorily in field trials. The SpudFinder costs $100,000 and should last for five years. The TaterTaker also costs $100,000 but requires an extra operator at $20,000 per season.

> The provincial government’s Ministry of Fisheries requires a new patrol boat. The price of a Songster is $90,000, and its annual operating costs will be $10,000. It will be sold for about $20,000 after five years, and replaced. A more durable and more ef

> A U-Print store requires a new photocopier. A Sonapanic copier with a four-year service life costs $35,000 and will generate an annual profit of $14,000. A higher-speed Xorex copier with a five-year service life costs $52,000 and will return an annual pr

> Machine X costs $50,000 and is forecast to generate an annual profit of $16,000 for five years. Machine Y, priced at $72,000, will produce the same annual profit for ten years. The trade-in value of X after five years is expected to be $10,000, and the r

> The investment committee of a company has identified the following seven projects with positive NPVs. If the board of directors has approved a $4.5 million capital budget for the current period, which projects should be selected?

> The expected profits from an $80,000 investment are $15,000 in Year 1 and $20,000 in each of Years 2 to 7. 1. What is the investment’s payback period? 2. If the firm’s required payback period is four years, will it make the investment? 3. If the firm’s c

> The Cowichan Regional District borrowed $500,000 through the Provincial Finance Authority to purchase fire-fighting equipment. At the end of every six months, the regional district must make a sinking fund payment of a size calculated to accumulate $500,

> Calculate the quoted price on June 10, 2019, of the bond.

> Quality Grocer makes its own bulk “trail mix” by mixing raisins and peanuts. The wholesale cost of raisins is $3.75 per kg and the cost of peanuts is $2.89 per kg. To the nearest 0.1 kg, what amounts of peanuts and raisins should be mixed to produce 50 k

> A New Brunswick Power bond issue carrying a 7.6% coupon matures on November 1, 2031. At what price did $1000 face value bonds trade on June 10, 2019, if the yield to maturity required by the bond market on that date was 5.9% compounded semiannually?

> Calculate the yield to maturity on a $1000 face value bond purchased for $1034.50 if it carries a 7.9% coupon and has 8 1 2 years remaining until maturity.

> Two and one-half years ago, Nova Scotia Power sold an issue of 25-year, 8% coupon bonds. If the current semiannually compounded return required in the bond market is 6.9%, calculate the percent capital gain or loss on the bonds over the entire 2 1 2 -yea

> A $1000 face value, 6.8% coupon, Province of Ontario bond with 18 years to run until maturity is currently priced to yield investors 6.5% compounded semiannually until maturity. How much lower would the bond’s price have to be to make the yield to maturi

> Four and one-half years ago, Glenda purchased 15 $1000 bonds in a Province of New Brunswick issue carrying an 8.5% coupon and priced to yield 9.8% (compounded semiannually). The bonds then had 18 years remaining until maturity. The bond market now requir

> Four years after the issue of a $10,000, 9.5% coupon, 20-year bond, the rate of return required in the bond market on long-term bonds was 7.8% compounded semiannually. 1. At what price did the bond then sell? 2. What capital gain or loss (expressed in do

> Laurentian Airways is preparing for the replacement of one of its passenger jets in three years by making payments to a sinking fund at the beginning of every six months for the next three years. The fund can earn 6% compounded semiannually, and the capi

> If a broker quotes a price of 111.25 for a bond on September 10, what amount will a client pay per $1000 face value? The 7% coupon rate is payable on May 15 and November 15 of each year.

> A $1000, 6.5% coupon, 20-year Government of Canada bond was issued on June 15, 2016. At what price did it trade on December 10, 2020, when the market’s required return was 5.2% compounded semiannually?

> Dash Canada offers two long-distance telephone plans. Plan X costs 6.5 cents per minute for calls between 8 a.m. and 6 p.m. weekdays (business hours) and 4.5 cents per minute at other times. Plan Y costs 5.3 cents per minute any time. Above what percenta

> A $1000, 9.5% coupon Government of Canada bond has 10 years remaining until its maturity. It is currently priced at 108.25 (percent of face value). 1. What is the bond’s yield to maturity? 2. If the bond price abruptly rises by $25, what is the change in

> A $1000, 7.5% coupon bond has 19 1 2 years remaining until maturity. Calculate the bond discount if the required return in the bond market is 8.6% compounded semiannually.

> $255,000 amount from an RRSP is used to purchase an annuity paying $6000 at the end of each quarter. The annuity provides an annually compounded rate of return of 2.5%. 1. What will be the amount of the final payment? 2. What will be the interest portion

> The interest rate on a $6400 loan is 10% compounded semiannually. If the loan is to be repaid by monthly payments over a four-year term, prepare a partial amortization schedule showing details of the first two payments, Payments 34 and 35, and the last t

> An annuity providing a rate of return of 4.8% compounded monthly was purchased for $45,000. The annuity pays $400 at the end of each month. 1. How much of Payment 37 will be interest? 2. What will be the principal portion of Payment 92? 3. How much inter

> Suppose that the loan permits an additional prepayment of principal on any scheduled payment date. Prepare another amortization schedule that reflects a prepayment of $5000 with the third scheduled payment. How much interest is saved as a result of the p

> Metro Construction received $60,000 in vendor financing at 10.5% compounded semiannually for the purchase of a loader. The contract requires semiannual payments of $10,000 until the debt is paid off. Construct the complete amortization schedule for the d

> A 20-year annuity was purchased with $180,000 that had accumulated in an RRSP. The annuity provides a semiannually compounded rate of return of 5% and makes equal month-end payments. 1. What will be the principal portion of Payment 134? 2. What will be t

> $28,000 loan at 8% compounded quarterly is to be repaid by equal quarterly payments over a seven-year term. 1. What will be the principal component of the sixth payment? 2. What will be the interest portion of the 22nd payment? 3. How much will the loan’

> Givens, Hong, and Partners obtained a $7000 term loan at 8.5% compounded annually for new boardroom furniture. Prepare a complete amortization schedule in which the loan is repaid by equal semiannual payments over three years.

> The board of directors of Meditronics Inc. has designated 100,000 stock options for distribution to employees and management of the company. Each of three executives is to receive 2000 more options than each of eight scientists and engineers. Each scient

> After two years of the first five-year term at 6.7% compounded semiannually, Dan and Laurel decide to take advantage of the privilege of increasing the payments on their $110,000 mortgage loan by 10%. The monthly payments were originally calculated for a

> The interest rate for the first five years of a $95,000 mortgage is 7.2% compounded semiannually. Monthly payments are based on a 25-year amortization. If a $3000 prepayment is made at the end of the third year: 1. How much will the amortization period b

> A $25,000 home improvement (mortgage) loan charges interest at 6.6% compounded monthly for a three-year term. Monthly payments are based on a 10-year amortization and rounded up to the next $10. What will be the principal balance at the end of the first

> A mortgage calls for monthly payments of $887.96 for 25 years. If the loan was for $135,000, calculate the semiannually compounded nominal rate of interest on the loan.

> The interest rate for the first five years of a $90,000 mortgage loan is 5.25% compounded semiannually. Monthly payments are calculated using a 20-year amortization. 1. What will be the principal balance at the end of the five-year term? 2. What will be

> Niagara Haulage obtained an $80,000 loan at 7.2% compounded monthly to build a storage shed. Construct a partial amortization schedule for payments of $1000 per month showing details of the first two payments, Payments 41 and 42, and the last two payment

> The interest rate for the first three years of an $87,000 mortgage is 4.4% compounded semiannually. Monthly payments are based on a 20-year amortization. If a $4000 prepayment is made at the end of the 16th month: 1. How much will the amortization period

> A mortgage contract for $45,000 written 10 years ago is just at the end of its second five-year term. The interest rates were 8% compounded semiannually for the first term and 7% compounded semiannually for the second term. If monthly payments throughout

> Jessica bought a $1150 television set for 25% down and the balance to be paid with interest at 11.25% compounded monthly in six equal monthly payments. Construct the full amortization schedule for the debt. Calculate the total interest paid.

> C&D Stereo sold a stereo system on a plan that required no down payment and nothing to pay until January 1 (four months away). Then the first of 12 monthly payments of $226.51 must be made. The payments were calculated to provide C&D Stereo with a return

> Steel is an alloy of iron and nickel. A steel recycling company has two piles of scrap steel. Pile A contains steel with 5.25% nickel content; Pile B contains steel with 2.84% nickel. The company has an order for 32.5 tonnes of steel containing 4.15% nic

> Lola Fritola is planning for her retirement by making quarterly payments to an annuity with each payment increasing by 0.4% every quarter. Her first payment is $4500 and she plans to contribute for the next 10 years. How much will she have in her retirem

> How much will it cost to purchase a 15-year constant growth annuity paying $10,000 at the end of every year if it earns 5.5% compounded annually and is indexed to an inflation rate of 2% annually?

> Mrs. McTavish wants to establish an annual $5000 scholarship in memory of her husband. The first scholarship is to be awarded two years from now. If the funds can earn 6.25% compounded annually, what amount must Mrs. McTavish pay now to sustain the schol

> Mr. Larsen’s will directed that $200,000 be invested to establish a perpetuity making payments at the end of each month to his wife for as long as she lives and subsequently to the Canadian Heart Foundation. What will the payments be if the funds can be

> A company’s preferred shares pay a $1.25 dividend every three months in perpetuity. What is the fair market value of the shares just after payment of a dividend if the rate of return required by the market on shares of similar risk is: 1. 5% compounded q

> If money can earn 6% compounded annually, what percentage more money is required to fund an ordinary perpetuity paying $1000 at the end of every year, than to fund an ordinary annuity paying $1000 per year for 25 years?

> What price will a finance company pay to a merchant for a conditional sale contract that requires 12 monthly payments of $249, with the first payment due six months from now? The finance company requires a return of 16.5% compounded monthly.

> $30,000 loan bearing interest at 9% compounded monthly was repaid, after a period of deferral, by monthly payments of $425.10 for 10 years. What was the time interval between the date of the loan and the first payment?

> Fred asked two life insurance companies to give quotes on a 20-year deferred annuity (after a 5-year deferral period) that can be purchased for $100,000. Northwest Mutual quoted payments of $875 payable at the end of each month. Liberty Standard stated t

> What percentage more money is required to fund an ordinary perpetuity than to fund a 30-year ordinary annuity, if the funds can earn 5.8% compounded semiannually? The perpetuity and the annuity each pay $1000 semiannually.

> Erin has invested in both an equity mutual fund and a bond mutual fund. Her financial adviser told her that her overall portfolio rose in value by 1.1% last year. Erin noted in the newspaper that the equity fund lost 3.3% last year while the bond fund ro

> Wildcat Drilling Contractors Inc. is considering the acquisition of a new deep-drilling rig at a cost of $14 million. With this added drilling capability, the company’s net operating profits would increase by $2 million in the first year and grow by 10%

> Dr. Pollard donated $100,000 to the Canadian National Institute for the Blind. The money is to be used to make semiannual payments in perpetuity (after a period of deferral) to finance the recording of books-on-CD for the blind. The first perpetuity paym

> How much more money is required to fund an ordinary perpetuity than a 25-year ordinary annuity, if the funds can earn 7% compounded quarterly, and both pay $500 monthly?

> The common shares of Bancorp Ltd. are forecast to pay annual dividends of $3 at the end of each of the next five years, followed by dividends of $2 per year in perpetuity. What is the fair market value of the shares if the market requires a 10% annually

> What minimum amount will have to be dedicated today to a fund earning 5.6% compounded quarterly, if the first quarterly payment of $2000 in perpetuity is to occur: 1. Three months from now? 2. Five years from now?

> What is the current economic value of an inheritance that will pay $2500 to the beneficiary at the beginning of every three months for 20 years starting when the beneficiary reaches 21 years of age, 5 1 4 years from now? Assume that money can earn 6% com

> What amount of money invested now will provide payments of $500 at the end of every month for five years following a four-year period of deferral? The money will earn 7.2% compounded monthly.

> Suppose that $5000 is contributed at the beginning of each year to an RRSP that earns 5% compounded annually. 1. How many contributions will it take to accumulate the first $500,000? 2. How many more contributions will it take for the RRSP to reach $1,00

> A seven-year capital lease of an executive jet requires semiannual payments of $200,000 at the beginning of each six-month period. The company can borrow funds for 5 to 10 years at 7.4% compounded semiannually. 1. What long-term lease liability will the

> A life insurance company quoted an annual premium of $387.50 (payable at the beginning of the year) for a $250,000 term insurance policy on a 35-year-old male nonsmoker. Alternatively, the insured can pay $33.71 at the beginning of each month by preautho

> Calculate the amount that will be accumulated after 20 years if: 1. $1000 is invested at the beginning of every six months at 8.5% compounded semiannually. 2. $2000 is invested at the beginning of every year at 8.5% compounded annually.

> A city’s commercial construction by-laws require five parking spaces for every 100 square metres of retail rental space in a shopping centre. Four percent of the parking spaces must be large spaces for the physically handicapped. Of the remainder, there

> An RRSP is now worth $316,000 after contributions of $3500 at the beginning of every six months for 17 years. What effective rate of return has the plan earned?

> Regular investments made at the beginning of each quarter earn 6% compounded quarterly. How many more $1000 investments than $1100 investments will it take to accumulate $100,000?