Exam 2: Compound Interest

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Jack invested $1200 into an account for 5-years with interest at j2 = 6%.If the annual inflation rate is 2% for the first 2-years and 2.5% thereafter,what is the annual real rate of interest earned over the 5-years?

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You plan to invest $P today for 15 months,at which time you wish to $15,000.What is the value of P if you can earn interest at 7% compounded continuously?

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A student borrows $2,000 today and they agree to pay off the loan with one payment of $2,590.06 to be made at the end of 3 years time.It is then agreed that,instead of paying off the loan with one payment,the student can pay off the loan with a payment of $1000 one year from now and $X two years from now.Given that j2 = 6%,determine $X.

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What is the nominal rate of interest convertible quarterly at which the discounted value (present value)of $15,000 due at the end of 186 months is $5000?

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Suppose the inflation rate is 0.8% per half year and you can invest money at j2 = 6%.If you invested $100,000 at the start of the year,how much will you have accumulated,in "real" terms (after taking into account inflation),at the end of the year?

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What is the present value of $100,000 due in 5-years and 10-months using the practical method if the interest rate is j4 = 12%?

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You invest $50,000 today in a fund earning j4 = 12%.How much have you accumulated 5 years and 5 months later using the exact method?

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You are given that at a certain rate j1,money will double itself in 12-years.At this same rate j1,how many years will it take for $1500 to accumulate $700 of interest?

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You borrows $10,000 today at j2 = 8%.You pay back $7000 at the end of 2-years and another $7000 at the end of n-years (from today).What is the value of n? (years,days)

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Using the practical method,what is the accumulated value of $20,000 over 7 years and 10 months if the investment earns interest at j2 = 10%?

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A car insurance company charges you a premium of $1452 a year for your car insurance policy.You have two options.Option 1 is to pay the $1452 in cash today.Option 2 is to make two payments of $749 at the following times: today and 6-months from today.What nominal rate of interest,j4,are you being charged?

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A fund pays interest at j1 = 5% for the first 3 years,j4 = 10% for one year,and j12 = 12% for one year.What is the equivalent nominal interest rate,j2,earned over the 5 years?

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What simple interest rate,r,is equivalent to j12 = 8% over 9 months?

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Jack earns a one-year real rate of return of 2.45% on an investment.If inflation is 2.00% for the year,what nominal rate of return j1 did Jack earn for the one-year period?

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Using the exact method,what is the present value of $100,000 due in 19 months if j4 = 12%? (Answer to nearest dollar. )

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A debt of $7000 is due with interest at j2 = 8% at the end of 3 years.To repay this debt,a payment of $1500 is made at the end of 1 year,followed by a payment of $X at the end of 2 years.If money is worth j4 = 10%,what is the value of X so that the loan is fully paid off?

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You invest $2130.22 today.Four and a half years later,you see that this investment has grown to $3316.08.What nominal rate of interest,j12,have you been earning?

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In 1977,the annual inflation rate in Canada was 9.5%,while one-year interest rates were 7.9%.If you invest $1000 at the start of the year,how much money,in real terms,did you have at the end of the year,after adjusting for inflation?

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A loan of $A is taken out today.The loan is to be paid off with a payment of $20,000 in 44 months.If the interest rate on the loan is j2 = 10% and the practical method of crediting/charging interest is used,what is the value of A?

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What simple interest rate,r,is equivalent to j6 = 8% over 8 months?

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