Exam 2: Compound Interest

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$4000 is deposited into an account earning j2 = 8% for the first 2 years and j2 = 10% thereafter.How long will it take for it to grow to $9041.67?

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An investment has the following interest rates: j2 = 6% for the first 30 months,followed by j4 = 8% for the next 36 months,followed by j6 = 9% for the last 18 months.What is the equivalent j2 earned over the 7 year period?

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You are investing a sum of money.Rank the following interest in order of which one will give you the most interest. a. j2 = 8% b. j52 = 7.9% c. δ = j∞ = 7.85%

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What simple interest rate,r,is equivalent to j12 = 9% over a 2-year period?

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What is the value,in 18 months,of an investment of $10,000 made today if interest is compounded continuously at 6.5%?

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You deposit $10,000 today in a fund earning interest at j× = 8%.How much will you have accumulated at the end of 21 months?

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A single deposit of $25,000 is made into an account that earns interest at j4 = 7% for one year,j2 = 6% for the next year and j6 = 3% thereafter.How much interest is earned in the fourth year?

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The 1996 Canada Savings Bond issue offered the following annual rates,guaranteed over 10 years: 3% in the first year,followed by 4%,5%,6%,6.50%,6.75%,7%,7,25%,8% and 8.75% in the 10th year.If you buy one of these bonds today and cash it in after 5 years,what annual rate of return do you earn?

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A long-term promissory note for $40,000 is taken out on June 15,2010.The interest rate on the note is j4 = 7% and the note is due on December 15,2015.What is the maturity value of the note?

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An individual borrowed $10 000 nine months ago and another $6000 three months ago and he wishes to pay off this loan with a payment of $X today.You are given that j2 = 10% and that the practical method of crediting/charging interest is used.Determine $X.

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You invest a sum of money at j12 = 15% for 3 years,followed by j4 = 12% for 4 years.What equivalent rate of return,j1,do you earn over each of the 7 years?

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Payments of $1000 due in 6 months,$1500 due in 9 months,and $1200 due in 15 months are to be exchanged for a single payment $X due in 12 months.What is X if j4 = 6%?

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You shop around for the best interest rate and have narrowed your choices to the following: Bank I: j1 = 12% Bank II: j4 = 11.55% Bank III: j12 = 11.30% You wish to have $S in 3 years.What is the present value of S? Put the banks in order,from lowest to highest present value of S.

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You borrow $2000 today.This loan is due in 3-years with interest at j1 = 9%.It is agreed that you will instead pay $1000 one-year from now and $X two-years from now.If money is worth j2 = 6%,what is the value of X?

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A loan of $A is taken out today.You are given that this loan is to be paid off with a payment of $20,000 in 3 years and 8 months.Determine A,if j2 = 10% and the practical method of crediting/charging interest is used.

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What simple interest rate r is equivalent to j12 = 9% if money is invested for 3.5 years?

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An investment has the following interest rates: j4 = 8% for the first 2-years,followed by j2 = 8% for the next 4-years,followed by j12 = 6% for the last 28-months.What is the equivalent nominal rate of interest,compounded 3 times a year,j3,earned over this time period of 100 months?

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The amount of clover on a lawn grows exponentially at a rate of j24(compounded twice a month)such that it doubles every 6-months.If there are 5000 pieces of clover in your lawn today,how many did you have 4-months ago? (Answer to the nearest piece of clover)

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Jackie invested $500 in an investment fund that pays interest at j2 = 5.3% for the first two years,j12 = 7% for the next three years,and j365 = 4.5% for the last year.What effective interest rate,j,did she earn over the 6 years?

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$P is deposited today in a fund which earns j12 = 6% for the 1st year,j4 = 6% for the 2nd year and j2 = 6% thereafter.At the end of 4 years,there is $12,000 in the fund.What is P?

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