Question: If the Canadian dollar is worth 6.

> Six different brands compete in the same Canadian market and their sales for 2018 and 2019 are shown in the following table. Calculate the market share for each brand for both 2018 and 2019.

> Rose purchased units of the Trimark Fund one year ago at $24.10 per unit. Today they are valued at $25.50. On the intervening December 31, there was a distribution of $0.83 per unit. (“Distribution” is the term used by most mutual funds for income paid t

> One year ago, Art Vandelay bought Norwood Industries shares for $37 per share. Today they are worth $40 per share. During the year, Art received dividends of $0.60 per share. What was his income yield, capital gain yield, and rate of total return for the

> Mohawk Enterprises is considering the following investment opportunities. If Mohawk’s cost of capital is 8% and its capital budget is limited to $90,000, which projects should it choose?

> Calculate the income yield, capital gain yield, and rate of total return in each of 2017 and 2018 for BlackBerry shares and Scotia Canadian Bond Fund units.

> Calculate the income yield, capital gain yield, and rate of total return in each of 2017 and 2018 for TD Bank shares and Desjardins Dividend Growth Fund units.

> Calculate the income yield, capital gain yield, and rate of total return in 2018 for BCE Inc. shares and Mawer New Canada Fund units.

> One year ago, $13,000 was invested in units of a mutual fund. The units paid a distribution of $260 during the year, but the mutual fund units are now worth only $11,400. What has been the: 1. Income yield? 2. Capital gain yield? 3. Rate of total return?

> The Globe and Mail Report on Business noted that shares of Compact Computers produced a 55% rate of total return in the past year. The shares paid a dividend of $0.72 per share during the year, and they currently trade at $37.50. What was the price of th

> Victor cannot find the original record of his purchase four years ago of units of the Imperial Global Fund. The current statement from the fund shows that the total current value of the units is $47,567. From a mutual fund database, Victor found that the

> The S&P/TSX Composite Index rose 3.4%, dropped 1.4%, and then rose 2.1% in three successive months. The index ended the three-month period at 9539. 1. What was the index at the beginning of the three-month period? 2. How many points did the index drop in

> Shares purchased one year ago for $8790 are now worth $15,390. During the year, the shares paid dividends totalling $280. Calculate the shares’: 1. Income yield. 2. Capital gain yield. 3. Rate of total return.

> One year ago, Morgan invested $5000 to purchase 400 units of a mutual fund. He has just noted in the Financial Post that the fund’s rate of return on investment for the year was 22% and that the current price of a unit is $13.75. What amount did the fund

> Assume that the TD Bank shares will pay a $1.48 per share dividend in 2019. What must the share price be at the end of 2019 for a total rate of return in 2019 of 7%?

> The investment committee of a company has identified the following seven projects with positive NPVs. If the board of directors has approved a $3 million capital budget for the current period, which projects should be selected?

> Answering this question occupies dozens of financial commentaries as the March 1 RRSP contribution deadline approaches each year. Many financial institutions and mutual fund companies promote the idea of arranging an “RRSP loan” to obtain money for an RR

> Assume that the Suncor Energy shares will pay a $0.40 per share dividend in 2019. What must the share price be at the end of 2019 for a total rate of return in 2019 of 10%?

> The following table shows the rates of total return in successive years from 2010 to 2014 for the PH&N Bond Fund and for the benchmark Toronto Stock Exchange S&P/TSX Composite Index. By how much did the bond fund’s overall perce

> The following table shows the rates of total return in successive years from 2013 to 2017 for the Fidelity Canadian Asset Allocation Fund and for the benchmark Toronto Stock Exchange S&P/TSX Composite Index. By how much did the allocation fundâ

> The following table shows the rates of total return in successive years from 2013 to 2017 for the BMO Dividend Fund and for the benchmark Toronto Stock Exchange S&P/TSX Composite Index. By how much did the dividend fund’s overall pe

> The following table shows the rates of total return in successive years from 2013 to 2017 for Canopy Growth Corp. and for the benchmark Toronto Stock Exchange S&P/TSX Composite Index. By how much did this stock’s overall percentage

> After two consecutive years of 10% losses, what rate of return in the third year will produce a cumulative loss of 30%??

> After two consecutive years of 10% rates of return, what rate of return in the third year will produce a cumulative gain of 30%?

> What rate of return in the second year of an investment is required to break even after a rate of return of −20% in the first year?

> A $100 investment purchased one year ago is now worth $90. It also generated $10 of income during the year. Determine the investment’s: 1. Income yield. 2. Capital gain yield. 3. Rate of total return.

> What rate of return in the second year of an investment is required to break even after a 50% loss in the first year?

> A firm has identified the following four investment opportunities and calculated their net present values. If the firm’s capital budget for this period is limited to $300,000, which projects should be selected?

> What rate of return in the second year of an investment will nullify a 25% return on investment in the first year?

> What rate of return in the second year of an investment will wipe out a 50% gain in the first year?

> The price of Biomed Corp. shares also began the same two-year period at $12, but fell 25% in each year. What was their overall percent decline in price?

> The price of Bionex Inc. shares rose by 25% in each of two successive years. If they began the two-year period at $12 per share, what was the percent increase in price over the entire two years?

> The federal government cut transfer payments to the provinces by a total of 20% over a five-year period. In the next budget speech, the Minister of Finance announced “the level of transfer payments will be restored to their former level by a 20% increase

> Adjusted for stock splits, the price of Microsoft shares rose 40.06%, 24.16%, 19.44%, and 12.00% in the years 2013 to 2016, respectively. In 2017, the share prices rose 37.66%. 1. What was the overall five-year percent change in the price of Microsoft sh

> Jeff purchased some Target preferred shares on the Toronto Stock Exchange for $56.49. The shares pay a quarterly dividend of $0.30. Twelve months later the shares were trading at $65.75. What was Jeff’s rate of total return for the year?

> Vitaly’s shares of Offshore Petroleum have dropped in value from $36.75 to $32.25 during the past year. The shares paid a $0.50 per share dividend six months ago. Calculate Vitaly’s income yield, capital gain yield, and rate of total return for the year.

> The market value of Stephanie’s bonds has declined from $1053.25 to $1021.75 per bond during the past year. In the meantime she has received two semiannual interest payments of $35 per bond. Calculate Stephanie’s income yield, capital gain yield, and rat

> A $100 investment purchased one year ago is now worth $110. It also earned $10 of income during the year. Determine the investment’s: 1. Income yield. 2. Capital gain yield. 3. Rate of total return.

> A construction company has identified two machines that will accomplish the same job. The Caterpillar model costs $160,000, and has a service life of eight years if it receives a $30,000 overhaul every two years. The International model costs $210,000, a

> Calculate the missing value: Initial Value = 26.3 cm Final Value = ? Percent Change = 300

> Calculate the missing value: Initial Value = 112 g Final Value = ? Percent Change = 112

> Calculate the missing value: Initial Value = $134.39 Final Value = ? Percent Change = -12

> A hospital can increase the dollar amount budgeted for nurses’ overtime wages during the next year by only 3%. The nurses’ union has just won a 5% hourly rate increase for the next year. By what percentage must the hospital cut the number of overtime hou

> If the euro is worth 39% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro?

> The Lightning laser printer prints 30% more pages per minute than the Reliable laser printer. What percentage less time than the Reliable will the Lightning require for long print jobs?

> The Hampton District school board decided to reduce the number of students per teacher next year by 15%. If the number of students does not change, by what percentage must the number of teachers be increased?

> If the denominator of a fraction decreases by 20% and the numerator remains unchanged, by what percentage does the value of the fraction change?

> A car dealer normally lists new cars at 22% above cost. A demonstrator model was sold for $17,568 after a 10% reduction from the list price. What amount did the dealer pay for this car?

> An owner listed a property for 140% more than she paid for it 12 years ago. After receiving no offers during the first three months of market exposure she dropped the list price by 10%, to $172,800. What was the original price that the owner paid for the

> Neil always trades in his car when it reaches five years of age because of the large amount of driving he does in his job. He is investigating whether there would be a financial advantage in buying a two-year-old car every three years instead of buying a

> The share price of Goldfield Resources fell by $4 in Year 1 and then rose by $4 in Year 2. If the share price was $6 at the end of Year 1, what was the percent change in share price each year?

> The manufacturer of Caramalt chocolate bars wants to implement a 7.5% increase in the unit retail price along with a reduction in the bar size from 100 g to 80 g. If the current retail price of a 100-g bar is $1.15, what should be the price of an 80-g ba

> Calculate the missing value: Initial Value = 0.095 Final Value = 0.085 Percent Change = ?

> Elegance shampoo has a suggested retail price of $4.49 for its 500-mL bottle. The manufacturer of the shampoo wants to increase the unit retail price by 10% at the same time that it reduces the container size to 425 mL. What should be the suggested retai

> A company has 50% less equity financing than debt financing. What percentage of the equity is the debt? What percentage more debt financing than equity financing does the company have?

> If operating expenses are 40% of revenue, by what percentage does revenue exceed operating expenses?

> Old Navy reported that its sales in November 2018 were up 19.7% from its sales in May 2018. What percentage were May sales of November sales?

> General Paint and Cloverdale Paint normally offer the same prices. For its Spring Specials Sale, General Paint has marked down the price of outdoor latex paint by 30%. What percentage more will you pay if you buy paint at the regular price at Cloverdale?

> A piece of machinery has depreciated by 55% of its original purchase price during the past four years, to the current value of $24,300. What is the dollar amount of the total depreciation during the last four years?

> The provincial government’s Ministry of Forest Resources requires a spotter plane for its fire service. The price of a Hawk is $240,000, and its annual operating costs will be $60,000. Given the heavy use it will receive, it will be sold for about $60,00

> The price of shares of Nadir Explorations Ltd. fell by 76% in the past year, to the current price of $0.45 per share. In dollars and cents, how much did the price of each share drop in the past year?

> In June 2018, Facebook estimated it had 2,270,000,000 daily active users, up 9.6% from a year earlier. What was the absolute increase, year-over-year, in the number of daily active users (rounded to the nearest 10,000)?

> The number of daily active Snapchat users decreased from 191 million in March 2018 to 186 million users in September 2018. What is the resulting percent reduction in the number of daily active Snapchat users for this six-month period?

> Mutual Fund A charges an annual management fee of 2.38% of money under management. The corresponding management fee for Mutual Fund B is 1.65%. On the same invested amount, what percentage more fees will you pay to Fund A than to Fund B?

> Calculate the missing value: Initial Value = 0.11 Final Value = 0.13 Percent Change = ?

> In one three-month period, Apple sells 61.0 million iPhones. This represents a year-over-year increase of 40%. What were the sales for the iPhone for the same three-month period in the previous year (rounded to the nearest 10,000)?

> In one seven-month period Apple projects sales of 55.0 million iPhones. This outpaces the projected sales of Galaxy phones by 35%. What are the projected sales for the Galaxy phone for the same period (rounded to the nearest 10,000)?

> Last year, Canada’s exports to the U.S. exceeded imports from the U.S. by 23%. By what percentage were the United States’ exports to Canada less than its imports from Canada?

> Mountain Sports is advertising “30% off all ski equipment” in its Spring Clearance Sale. On ski boots marked down to $348.60, what is the regular price?

> The Edmonton Real Estate Board reports that the average selling price of homes last month in the greater Edmonton area was $338,500, an increase of 8.7% over the past year. Rounded to the nearest $100, what was the average selling price one year ago?

> Consumer Digest recently reported that car batteries X, Y, and Z have average service lives of three, four, and six years, respectively. Grace found that the best retail prices for these batteries in her town are $95, $120, and $165. If money is worth 7%

> The retail price of Paradise Island cheddar cheese dropped from $10.98 to $9.98 when the package size was reduced from 700 g to 600 g. What was the percent change in the unit price?

> Fluffy laundry detergent reduced its regular size from 3.6 kg to 3 kg. The retail price dropped from $7.98 to $6.98. What was the percent change in the unit price?

> After Island Farms increased the container size for its premium ice cream from 1.65 L to 2.2 L, the retail price increased from $5.49 to $7.98. What was the percent change in the unit price?

> What was the percent change in unit price when the regular size of Lily soap bars dropped from 100 g to 90 g (with no change in the price per bar)?

> An investor purchased shares of Digger Resources at a price of $0.55 per share. One year later, the shares traded at $1.55, but they fell back to $0.75 by the end of the second year after the date of purchase. Calculate the percent change in the share pr

> Calculate the missing value: Initial Value = 135 kg Final Value = 35 kg Percent Change =?

> Becker Tools sold 32,400 hammers at an average price of $15.10 in Year 1 and 27,450 hammers at an average price of $15.50 in Year 2. What was the percent change from Year 1 to Year 2 in: 1. The number of hammers sold? 2. The average selling price? 3. The

> In 2018, Canada’s population reached 36,950,000, a level that was 11.13% higher than 10 years earlier. Rounded to the nearest 10,000, what was the population figure for 2008?

> On the purchase of a 4K HD Smart TV, the total cost to the customer (including 5% GST and 7% PST) came to $2797.76. How much GST and how much PST did the customer pay?

> The total cost of a coat (including HST of 13% on the retail price) is $281.37. What is the retail price of the coat?

> An independent trucker is trying to decide whether to buy a 15-ton truck or a 25-ton truck. A 15-ton vehicle would cost $150,000; it would have a service life of seven years, and a trade-in value of about $30,000 at seven years of age. A 25-ton truck wou

> How much is $150 after an increase of 150%?

> What amount after being increased by 210% equals $465?

> What amount when increased by 150% equals $575?

> How much is $1045 after a decrease of 0.5%?

> How much is $10,000 after an increase of 3 4 % ?

> $250 is what percent less than $750?

> Calculate the missing value: Initial Value = 35 kg Final Value = 135 kg Percent Change = ?

> $750 is what percent more than $250?

> How much is $102 after a decrease of 100%?

> How much is $102 after a decrease of 2%

> A landscaping business will buy one of three rototillers. The initial cost, expected service life, and trade-in value (at the end of the service life) of each model are presented in the following table. The annual profit from rototilling services is $140

> How much is $900 after a decrease of 90%?

> What amount after a reduction of 16. 6 ¯ % equals $549?

> What amount after a reduction of 25% equals $50?

> What amount after a reduction of 20% equals $100?

> $100 is 10% less than what amount?

> How much is $75 after an increase of 75%?

> 77,787 is what percent more than 77,400?

> Calculate the missing value: Initial Value = $100 Final Value = $95 Percent Change = ?