Exam 2: Compound Interest

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A woman plans to withdraw $1800 18-months from now and $2400 36-months from now.How much does she need to deposit today if the interest rate is j12 = 12% for the first 2 years and j12 = 6% thereafter?

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B

If money triples in value in 8 years,what nominal rate of interest compounded semi-annually is being earned?

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C

You deposit $1000 today in an account that pays interest at j2 = 8% for the next 5-years and j2 = 6% thereafter.How long in total (in years and days)will it take for you to at least double your original investment?

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A

In 1977,the annual inflation rate in Canada was 9.5%,while one-year interest rates were 7.9%.What was the real rate of return in Canada in 1977?

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What is the effective annual rate,j,over 7 years that is equivalent to j6 = 6% for the first two years,j12 = 9% for the next three years,and j2 = 4% for the last two years?

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How long will it take for $750 to accumulate to $1000 if j2 = 9%?

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Population growth in a given urban city was 4% for the calendar years 2003 to 2007 inclusive and 3% for the calendar years 2008 to 2010 inclusive.If the population of this city was 664,735 on December 31,2010,what was the population of this city on December 31,2002?

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What is the accumulated value of $15,000 over 6 years and 5 months if j4 = 10% and the exact method of accumulating is used? (Answer to the nearest dollar)

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Jack invested $1200 into an account for 5-years.The account paid interest at j1 = 4% for the first 2-years and j1 = 6% thereafter.If the annual inflation rate is 2% for each of these 5-years,what is the annual real rate of interest earned over the 5-years?

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Mr.Harry Leggs borrows $5000 today,due with interest at j4 = 8% in one lump sum at the end of 2 years.Instead,Mr.Leggs wishes to pay $2000 six months from today and $X in 18 months.If money is worth j12 = 6%,what is X?

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Mrs.Singh owes Mr.Valdy $55,513.78 in 14-months.Mr.Valdy agrees to let her repay the loan with a payment of $35,000 in 6-months,$10,000 in 8-months and $X in 14-months.If money is worth j4 = 6%,what is the value of X,using 14-months as the focal date along with the exact method of crediting/charging interest?

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You invest some money and earn the following rates of interest: simple interest of 15% for 9 months,followed by j6 = 12% for 18 months,followed by j4 = 5% for 9 months.What is the equivalent rate of interest,j2 earned over the 36 months?

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You wish to have $10,000 45 months from now.To accomplish this goal,you deposit $P in an account today paying interest continuously atj× = 8%.What is P?

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If money triples in 6 years,what rate of interest,j2,is being earned?

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A long term promissory notes for $20 000 is signed on April 15,2010.It is due on October 15,2013 at j2 = 6%.The maturity value of the note is $24 597.48.The note is sold on April 15,2011 to a bank that discounts the note at j4 = 8%.What are the proceeds?

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During the spring growing season,a sunflower plant will increase its size by 60% every 7 days.If a plant is currently 5 cm tall,how tall will/should it be in 25 days?

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What simple interest rate,r,is equivalent to j4 = 14% over 18 months?

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The maturity value of a promissory note due on Sept.14,2010 is $6200.What are the proceeds of the note using the practical (approximate)method on Jun.2,2007 if j2 = 10%?

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A person invests in a fund earning interest at j2 = 6%.The annual rate of inflation is 2% in year 1,2.5% in year 2,and 3.0% in year 3.What is the annual real interest rate,compounded once a year,earned over the 3-year period?

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A $1000 loan is taken out today.The loan is repaid with a payment of $400 at the end of the 1st year,$800 at the end of the 5th year,and a payment of $X at the end of the 10th year.If j4 = 12%,what is X?

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