Exam 2: Compound Interest

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A loan of $5000 is taken out today.It is due with interest at j4 = 8% in 2 years.Instead,the borrower negotiates with the lender to pay $2500 in 1 year and $X in 3 years.If the lender can reinvest any payment at j2 = 5%,what is the value of X?

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You invest $5000 into a fund paying interest at j6 = 9%.How much is in the fund after 3 years?

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In a particular year,the interest rate is 5% and the real rate of return is 3%.What is the rate of inflation for the same year?

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What nominal interest rate compounded continuously is equivalent to 10% compounded quarterly?

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A woman who died left an estate worth $200 000 to be split among her two children,currently age 8 and 12.Each child is to receive an equal amount,X,from the estate when they reach age 18.If the money can be invested at j2 = 6%,how much does each child receive when they turn 18? (Answer to nearest dollar)

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Rank the following interest rates in the order in which they would give the highest to lowest amount of interest on an investment: a. j2 = 15.25% b. j4 = 15.1% c. j12 = 14.85%

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If money doubles at a certain rate of interest compounded monthly in 6 years,how long will it take for the same amount of money to triple in value?

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You deposit $1000 today in an account that pays interest at j2 = 8% for the next 5 years and j2 = 6% thereafter.How many complete interest periods will it take for you to accumulate at least double your original investment?

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What is the accumulated value of $5000 at the end of 4 years,11 months if j4 = 9% using the exact method?

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You borrow $2000 today.The 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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You invest $1000 for 3 years in a fund earning j1 = 6% in the first year,j2 = x% in the second year,and j4 = 8% in the third year.If the accumulated value is $1264.98 after three years,what is the value of x?

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A promissory note with a maturity value of $20,000 is sold to a bank 32-months before maturity.The bank discounts the note using j2 =16%.What are the proceeds,if the practical method is used?

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A promissory note for $10,000,dated July 1,2007,is due in four years with interest at j2 = 8%.On October 1,2008,it was sold to an investor who discounted the note at j4 = 9%.What was the purchase price of the note on October 1,2008?

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What is the total amount of interest earned between the end of 18 months and the end of 36 months on an investment of $1000 if the interest rate is j12 = 9%?

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$10,000 was deposited into an investment account earning interest at a nominal rate of 9% compounded monthly for eight years.How much interest was earned in the fifth year?

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Jim Dandy invests a sum of money today.He earns the following interest rates over the next 5-years: J2 = 10% for the first 2-years J4 = 8% for the next 2-years J12 = 6% for the last year What annual effective rate of return,j1,did Jim earn over the 5-year period?

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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 Dec 15,2015.What is the maturity value of the note?

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How much money do you need today in order to have $3000 in 21 months time,if interest is compounded continuously at 9%?

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A person invests $2000 today in a fund earning interest at j1 = 6%.If the rate of inflation is 2.1% in the first year and 3.0% in the second year,how much is the investment worth,in real terms (after taking account of inflation),at the end of two years?

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You invest $1500 today and another $2000 18-months from today in a fund earning j4 = 8% for the first 18 months followed by j2 = 6% thereafter.How much do you have at the end of 4 years?

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