A survey of 254 randomly chosen residences in a city revealed that 4 had four television sets, 22 had three TV sets, 83 had two TV sets, 140 had one TV set, and 5 had no TV set at all. Based on the survey, what would you estimate to be the average number of TV sets per household?
> A $5000 face value strip bond may be purchased today for $1073.36 yielding the purchaser 7.27% compounded semiannually. How much time (to the nearest day) remains until the maturity date? Assume that each half-year has exactly 182 days.
> Wilf paid $557.05 for a $1000 face value strip bond. At this price the investment will yield a return of 5.22% compounded semiannually. How long (to the nearest day) before its maturity date did Wilf purchase the bond? Assume that each half-year has exac
> If money is worth 8% compounded quarterly, how long (to the nearest day) before a scheduled payment of $6000 will $5000 be an equivalent payment? For the purpose of determining the number of days in a partial calendar quarter, assume that a full quarter
> A $4000 loan at 7.5% compounded monthly was settled by a single payment of $5000 including accrued interest. Rounded to the nearest day, how long after the initial loan was the $5000 payment made? For the purpose of determining the number of days in a pa
> The proceeds from the sale of a $4500 five-year promissory note bearing interest at 9% compounded quarterly were $6055.62. How many months before its maturity date was the note sold if it was discounted to yield 10.5% compounded monthly?
> One of the methods permitted by Generally Accepted Accounting Principles (GAAP) for reporting the value of a firm’s inventory is weighted average inventory pricing. The Boswell Corporation began its fiscal year with an inventory of 156
> How long did it take $4625 earning 7.875% compounded annually to grow to $8481.61?
> When discounted to yield 10.5% compounded monthly, a $2600 three-year promissory note bearing interest at 12.25% compounded annually was priced at $3283.57. How many months after the issue date did the discounting take place?
> Rounded to the nearest month, how long will it take money to lose 25% of its purchasing power if the annual rate of inflation is: 1. 2%? 2. 4%?
> Rounded to the nearest month, how long will it take money to lose half of its purchasing power if the annual rate of inflation is: 1. 2.5%? 2. 3.5%?
> Your client invests $10,000 today at a rate of return of 7.7% compounded quarterly. Rounded to the nearest month, how long will it take the investment to grow to $22,000?
> Your client wants to invest a $250,000 inheritance and grow it to $325,000. Rounded to the nearest month, how long will this take if the investment earns 7% compounded annually?
> How long before a future payment of $1000 would a payment of just $100 (only 10% of the nominal amount of the future payment) be an economically equivalent alternative? Round your answer to the nearest month. Assume money can earn 4.8% compounded semiann
> Rounded to the nearest month, how long before a scheduled payment of $10,000 would a payment of $5000 be an economically equivalent alternative? Assume money is worth 5% compounded annually.
> Rounded to the nearest quarter year, how long will it take an investment to quadruple if it earns: 1. 8% compounded annually? 2. 9% compounded semiannually?
> Rounded to the nearest month, how long will it take an investment to triple if it earns: 1. 9% compounded annually? 2. 8% compounded quarterly?
> One year ago, Sook-Yin allocated the funds in her portfolio among five securities in the proportions listed below. The rate of return on each security for the year is given in the third column of the table. Calculate the rate of return for the entire por
> Rounded to the nearest month, how long will it take an investment to double if it earns: 1. 8.4% compounded annually? 2. 10.5% compounded semiannually?
> An $1100 investment earning 6.3% compounded annually grew to $4483.92. What was the term of the investment?
> Anders discovered an old pay statement from 11 years ago. His monthly salary at the time was $2550 versus his current salary of $4475 per month. At what (equivalent) compound annual rate has his salary grown during the period?
> The Templeton Growth Fund has been around since 1954. If you had invested $10,000 in the fund when it was launched in 1954 it would have been worth $5.09 million 54 years later. What compound annual rate of return did the fund realize over this period?
> When he died in 1790, Benjamin Franklin left $4600 to the city of Boston, with the stipulation that the money and its earnings could not be used for 100 years. The bequest grew to $332,000 by 1890. What (equivalent) compound annual rate of return did the
> Philippe contributed $4300 to an RRSP eight years and six months ago. The money was invested in a Canadian Equity mutual fund. The investment is now worth $10,440.32. Over the entire period, what annually compounded nominal rate of return has the investm
> The amount owed on a promissory note for $950 after two years and five months is $1165.79. What monthly compounded nominal rate of interest was charged on the debt?
> A strip bond that will mature 7 1 2 years from now at its $13,000 face value can be purchased today for $9042. What rate of return (compounded semiannually) will this strip bond provide to an investor?
> In June of 2006, AIC Limited published full-page advertisements focused on the fact that its AIC Advantage Mutual Fund was Canada’s “Best Performing Canadian Equity Fund” over the 20 years ending May 31, 2006. The equivalent annual rate of return during
> BMO’s Dividend Fund was launched in 1994 and had annual returns in successive years from 2009 to 2018 inclusive of 19.83%, 9.71%, −2.62%, 6.93%, 17.92%, 13.54%, –1.43%, 11.76%, 10.93% and –6.78%, respectively. For 3-year, 5-year, and 10-year periods ende
> The “age” of an account receivable is the length of time that it has been outstanding. At the end of October, a firm has $12,570 in receivables that are 30 days old, $6850 in receivables that are 60 days old, and $1325 in receivables that are 90 days old
> At the end of 2014, the Industrial Alliance (IA) Dividends Fund had the best 10-year compound annual return of any Canadian diversified equity mutual fund. During the 10-year period, this fund invested primarily in the shares of large Canadian companies.
> At the end of 2018, the RBC Canadian Dividend Fund was the largest equity mutual fund in Canada. The aggregate market value of its holdings at the end of 2018 was $18.8 billion. The fund’s annual returns in successive years from 2009 to 2018 inclusive we
> A portfolio earned annual rates of 20%, 15%, −10%, 25%, and −5% in five successive years. What was the portfolio’s five-year equivalent annually compounded rate of return?
> A portfolio earned annual rates of 20%, −20%, 0%, 20%, and −20% in five successive years. What was the portfolio’s five-year equivalent annually compounded rate of return?
> An investment earned 6% compounded semiannually for two years and 8% compounded annually for the next three years. What was the equivalent annually compounded rate of return for the entire five-year period?
> An investment grew in value from $5630 to $8485 during a five-year period. The annual rate of inflation for the five years was 2.3%. What was the compound annual real rate of return during the five years?
> An investor’s portfolio increased in value by 93% over a seven-year period in which the Consumer Price Index rose from 95.6 to 115.3. What was the compound annual real rate of return on the portfolio during the period?
> An initial $1800 investment was worth $2299.16 after two years and nine months. What quarterly compounded nominal rate of return did the investment earn?
> A $6000, three-year promissory note bearing interest at 11% compounded semiannually was purchased 15 months into its term for $6854.12. What monthly compounded discount rate was used in pricing the note?
> A four-year promissory note for $3800 plus interest at 9.5% compounded semiannually was sold 18 months before maturity for $4481. What quarterly compounded nominal rate of return will the buyer realize on her investment?
> Alihan’s transcript shows the following academic record for four semesters of part-time college studies. Calculate his cumulative GPA at the end of his fourth semester.
> A five-year promissory note for $5700 plus interest at 6.75% compounded semiannually was sold 18 months before maturity for $6620. What monthly compounded nominal rate of return will the buyer realize on the investment?
> Using the data given in Problems 21 and 22, calculate the annual rate of inflation for the 1970–1990 period. (Note: Simply averaging the two answers to Problems 21 and 22 will give only an approximation of the correct result.) Data from Problem 21: The
> According to Statistics Canada, business students in an undergraduate program paid an average of $6838 in tuition fees for the 2018/2019 academic year compared to fees of $1464 for the 1990/1991 year. During the same period, the Consumer Price Index rose
> The Consumer Price Index (based on a value of 100 in 2002) rose from 93.5 in 2000 to 115.1 in 2010. What was the (equivalent) annual rate of inflation in the first decade of the 2000s?
> The Consumer Price Index (based on a value of 100 in 1992) rose from 93.3 in 1990 to 113.5 in 2000. What was the (equivalent) annual rate of inflation in the decade of the 1990s?
> The Consumer Price Index (based on a value of 100 in 1986) rose from 67.2 in 1980 to 119.5 in 1990. What was the (equivalent) annual rate of inflation in the decade of the 1980s?
> The Canadian Consumer Price Index (based on a value of 100 in 1971) rose from 97.2 in 1970 to 210.6 in 1980. What was the (equivalent) annual rate of inflation in the decade of the 1970s?
> If the number of workers in the auto industry in Canada declined by 32% from its peak at the end of 1999 to the beginning of 2011, what was the compound annual rate of attrition in the industry during this period?
> What was the annually compounded nominal rate of growth if the future value of $1000 after 20 years was $4016.94?
> Monty purchased a strip bond for his RRSP. He paid $3800 for a $5000 face value bond with three years remaining until maturity. What semiannually compounded rate of return will he realize over the three years?
> What compound annual rate of return is required for an investment to double in: 1. 12 years? 2. 10 years? 3. 8 years? 4. 6 years? For each case, multiply the annual rate of return (in %) by the time period (in years). Compare the four products. Does the
> For an investment to triple in value during a 15-year period, 1. What annually compounded rate of return must it earn? 2. What quarterly compounded rate of return must it earn? 3. What monthly compounded rate of return must it earn?
> For an investment to double in value during a 10-year period, 1. What annually compounded rate of return must it earn? 2. What semiannually compounded rate of return must it earn? 3. What monthly compounded rate of return must it earn?
> The following table contains 1981 and 2018 population figures for five provinces. Calculate each province’s equivalent compound annual rate of population change during the period.
> 1. The population of Canada grew from 24,343,000 in 1981 to 37,268,000 in 2019. What was the overall compound annual rate of growth in our population during the period? 2. According to the Canadian Real Estate Association, the average selling price of Ca
> Three years ago Mikhail invested $7000 in a three-year compound interest GIC. He has just received its maturity value of $7867.34. What was the monthly compounded rate of interest on the GIC?
> The maturity value of a $5000 four-year compound interest GIC was $6147.82. What quarterly compounded rate of interest did it earn?
> Jan and Chelsea purchased their home 15 years ago for $198,000 and it is now appraised at $430,000. What was the (equivalent) annual rate of appreciation in the value of their home during the 15-year period?
> Mr. and Mrs. Markovich note that the condo they purchased 20 years ago for $70,000 is now appraised at $340,000. What was the (equivalent) annual rate of appreciation in the value of their condo during the 20-year period?
> No payments were made on a $3400 loan during its three-year term. What was the annually compounded nominal interest rate on the loan, if the amount owed at the end of the term was $4297.91?
> Svetlana is an independent insurance broker placing various clients with any of several insurance companies. On homeowner insurance policies, each month she receives: - $20 for each renewal of an existing policy; - $35 for each policy placed with a new c
> Ralph Harder has been transferred to Regina for five years. He has found a one-bedroom condo that he can buy for $180,000 or rent for $1000 per month, payable at the beginning of each month. He estimates that the resale value of the condo in five years w
> Two payments of $2000 each are scheduled for six months from now and two years from now. They are to be rescheduled as follows: a payment one year from now and a second payment, half the size of the first payment, three years from now. What must the amou
> Payments of $400 due eight months ago and $650 due three months ago were not made. Now the debtor is proposing to “make good” by two future payments that provide for a 7.5% compounded monthly rate of return to the creditor on the missed payments. The fir
> The scheduled payment stream consists of $5000 due today and $10,000 due in five years. It is proposed to replace this stream by an economically equivalent stream comprised of three equal payments due one, three, and five years from now. Determine the si
> Jorge is unable to make a $4500 payment due today. He proposes to settle the obligation by making three equal payments—one today, another in four months, and a third in nine months. What must each payment be to make the proposed payment stream equivalent
> Payments of $850 due two years ago and $1760 due six months ago have not been made. The proposed alternative is two equal payments, three months and nine months from now, that will put the payee in an equivalent economic position allowing that money can
> Marvin was supposed to make three payments of $2000 each—the first one year ago, the second one year from now, and the third three years from now. He missed the first payment and proposes to pay $3000 today and a second amount in two years. If money can
> Patrice defaulted on payments of $1000 due one year ago and $1500 due six months ago. A small claims court judgment orders her to make three payments—$800 one month from now, $900 four months from now, and a third payment seven months from now. The third
> A two-payment stream consisting of $1750 due today and $2900 due in 18 months is to be replaced by an economically equivalent stream comprised of an undetermined payment due in 9 months and a payment of $3000 due in 19 months. Calculate the unknown repla
> Three years ago, Andrea loaned $2000 to Heather. The principal with interest at 9% compounded semiannually is to be repaid four years from the date of the loan. Eighteen months ago, Heather borrowed another $1000 for 3 1 2 years at 8% compounded semiannu
> A $15,000 loan with interest being charged at 10% compounded quarterly was made 2 1 2 years ago and is due in two years. The debtor is proposing to settle the debt by a payment of $5000 today and a second payment in one year that will place the lender in
> Herb packs fish in 500-g cans on a processing line. He is paid $8.25 per hour plus $0.18 per kilogram for production in excess of 500 kg in a 7.5-hour shift. How much will he earn per day if he packs 250 cans per hour?
> Payments of $8000 due 15 months ago and $6000 due in six months are to be replaced by a payment of $4000 today, a second payment in nine months, and a third payment, three times as large as the second, in 1 1 2 years. What should the last two payments be
> Two payments of $3000 each are due today and five years from today. The creditor has agreed to accept three equal payments due one, three, and five years from today. Assuming that money can earn 7.5% compounded monthly, what payments will the creditor ac
> Payments of $5000 due three years from today and $7000 due five years from today are to be replaced by two payments due 1 1 2 and four years from today. The first payment is to be half the amount of the second payment. What should the payments be if mone
> CompuSystems was supposed to pay a manufacturer $19,000 on a date four months ago and another $14,000 on a date two months from now. Instead, CompuSystems is proposing to pay $10,000 today and the balance in five months, when it will receive payment on a
> A lottery prize gives the winner a choice between (1) $10,000 now and another $10,000 in 5 years, or (2) four $6700 payments—now and in 5, 10, and 15 years. 1. Which alternative should the winner choose if money can earn 3% compounded annually? In curren
> Henri has decided to purchase a $25,000 car. He can either liquidate some of his investments and pay cash, or accept the dealer’s proposal that Henri pay $5000 down and $8000 at the end of each of the next three years. 1. Which choice should Henri make i
> During its January Sale, Furniture City is offering terms of 25% down with no further payments and no interest charges for six months, when the balance is due. Furniture City sells the conditional sale contracts from these credit sales to a finance compa
> The owner of a residential building lot has received two purchase offers. Mrs. A is offering a $20,000 down payment plus $40,000 payable in one year. Mr. B’s offer is $15,000 down plus two $25,000 payments due one and two years from now. Which offer has
> Scheduled payments of $3000 due today and $2000 due in 15 months are to be replaced by two payments—$1500 due in 15 months and a second payment of undetermined size due in 24 months. What must the second payment be for the two streams to be economically
> Using the information given in Problem 8, calculate the interest earned in the second year from a $1000 investment in each GIC. Data from Problem 8: Sun Life Financial offers a five-year compound interest GIC earning rates of 2.5%, 3%, 3.5%, 4.25%, and
> Mary sews for a clothing manufacturer. She is paid $7.50 per hour plus a piecework rate that depends on the type of garment in production. The current production run is men’s shirts, for which she is paid $3.00 for each unit exceeding her quota of 20 shi
> Sun Life Financial offers a five-year compound interest GIC earning rates of 2.5%, 3%, 3.5%, 4.25%, and 5% in successive years. Manulife offers a similar GIC paying rates of 2.75%, 3.25%, 3.5%, 4%, and 4.25% in successive years. For a $10,000 investment,
> How, if at all, will the future value of $1000 invested in a three-year variable-rate GIC differ if it earns 2%, 3%, and 4% in successive years instead of 4%, 3%, and 2% in successive years?
> If an investor has the choice between rates of 5.4% compounded quarterly and 5.5% compounded annually for a six-year GIC, which rate should she choose?
> A trust company offers three-year compound interest GICs earning 4.8% compounded monthly or 4.9% compounded semiannually. Which rate should an investor choose?
> Mrs. Sandhu placed $11,500 in a four-year compound interest GIC earning 6.75% compounded monthly. What is the GIC’s maturity value?
> A $5000 loan at 10% compounded annually is to be repaid by two payments three and five years from the date of the loan. The first payment of $3000 will be applied to the balance owed after conversion of interest to principal at the end of the first three
> The contract for a $4000 loan at 9% compounded quarterly requires two payments. The first payment of $2000 is required two years after the date of the loan. (It is applied to the balance owed after conversion of interest to principal.) A second payment i
> An eight-year note for $3800 with interest at 11% compounded semiannually was sold after three years and three months to yield the buyer 14% compounded quarterly. What price did the buyer pay?
> A four-year $8000 promissory note bearing interest at 13.5% compounded monthly was discounted 21 months after issue to yield 12% compounded quarterly. What were the proceeds from the sale of the note?
> Wojtek purchased a $10,000 face value strip bond on a date when it had 14 years left until maturity. The purchase price was based on a market yield of 6.2% compounded semiannually. He sold the bond 4 1 2 years later when the market yield was 5.2% compoun
> Sam is paid $34.50 per hour as a power plant engineer. He is paid 1.5 times the regular rate for all time exceeding 8 hours in a day or 40 hours in a week. Statutory holidays worked are paid at double time (in addition to holiday pay). What are his gross
> A pharmaceutical company had sales of $28,600,000 in the year just completed. Sales are expected to decline by 4% per year for the next three years until new drugs, now under development, receive regulatory approval. Then sales should grow at 8% per year
> The late 1970s and early 1980s were years of historically high rates of inflation in Canada. For the years 1978, 1979, 1980, 1981, and 1982 the rates of inflation were 8.8%, 9.2%, 10.9%, 12.6%, and 10.0%, respectively. 1. Suppose your hourly wage at the
> For a given term of a compound interest GIC, the nominal interest rate with annual compounding is typically 0.125% higher than the rate with semiannual compounding and 0.25% higher than the rate with monthly compounding. Suppose that the rates for five-y
> If the current discount rate on 15-year strip bonds is 4.75% compounded semiannually, how many $1000 face value strips can be purchased with $10,000?
> Mr. Dickson purchased a seven-year, $30,000 compound interest GIC with funds in his RRSP. If the interest rate on the GIC is 2.25% compounded semiannually, what is the GIC’s maturity value?
> Mrs. Janzen wishes to purchase some 13-year-maturity strip bonds with the $12,830 in cash she now has in her RRSP. If these strip bonds are currently priced to yield 5.25% compounded semiannually, how many $1000 denomination bonds can she purchase?
