Exam 10: Compound Interest - Further Topics

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Calculate the nominal rate of interest p.a. compounded semi-annually if $5000.00 accumulates to $7002.64 in 78 months.

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In how many years will money double at 8% compounded yearly?

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Which is the most attractive of the following interest rates offered on a savings account?

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A financial obligation requires payments of $2000.00 today, $2500.00 in three years, and $3000.00 in five years. When can the obligation be discharged by a single payment equal to the sum of the required payments if interest is 6%p.a. compounded monthly?

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Over a 15-year period, Tariq's investment in Cameco stock grew in value from $3000 to $19 847. During the same period, the consumer price index rose from 88.31 to 118.91. What was his real compound annual rate of interest on the stock during this period?

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Calculate the nominal annual rate of interest compounded quarterly that is equivalent to 10% p.a. compounded semi-annually.

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An 11-year $5000.00 promissory note, with interest at 4.4% compounded monthly, is discounted at 3.5% compounded semi-annually yielding proceeds of $7651.15. How many months before the due date was the date of discount?

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A 11-year $8000.00 promissory note, with interest at 8.4% compounded monthly, is discounted at 6.5% compounded semi-annually yielding proceeds of $14 631.15. How many months before the due date was the date of discount?

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At what nominal rate of interest compounded annually will $5000 earn $2500 interest in seven years?

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Deon has $4000.00 invested at 4.5% compounded semi-annually at her bank. In order to make a comparison with another financial institution she needs to know the effective rate of interest at her bank. What is the effective annual rate of interest?

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Sajid invested $20 000 in strip bonds earning him $2536.50 in one year. What is the nominal annual rate of interest compounded monthly?

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A five-year, $4500.00 promissory note with interest at 7.5% compounded semi-annually was discounted at 8% compounded quarterly yielding proceeds of $6150.00. How many months before the due date was the discount date?

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At what nominal rate of interest compounded monthly will $40 000.00 earn $7200.00 interest in three years?

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The treasurer of Lynn Lake Credit Union proposes changing the method of compounding interest on premium savings accounts to daily compounding. If the current rate is 4% compounded quarterly, what nominal rate should the treasurer suggest to the Board of Directors to maintain the same effective rate of interest?

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A principal of $5000.00 compounded monthly amounts to $6000.00 in 7 years. What is the nominal annual rate of interest?

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Musa's parents deposited $20,000 in a long-term savings account as a wedding expenditure for their grand daughter at her birth, expecting it to triple by the time she gets married. Calculate the number of years for money to triple at 5% p.a. compounded monthly.

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If the effective rate of interest on an investment is 6.52%, what is the nominal rate of interest compounded monthly?

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