Questions from Business Mathematics


Q: If $400,000 accumulated in an RRSP is used to

If $400,000 accumulated in an RRSP is used to purchase an annuity earning 7.2% compounded monthly and paying $4500 at the end of each month, what will be the term of the annuity?

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Q: After contributing $2000 at the end of each quarter for 13

After contributing $2000 at the end of each quarter for 13 3 4 years, Foster has accumulated $205,064 in his RRSP. What effective rate of return was earned by the RRSP over the entire period?

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Q: What semiannually compounded rate and effective rate of interest are being charged

What semiannually compounded rate and effective rate of interest are being charged on a $12,000 loan if semiannual payments of $1204.55 will repay the loan in seven years?

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Q: The interest rate on a $100,000 loan is 6

The interest rate on a $100,000 loan is 6% compounded monthly. How much longer will it take to pay off the loan with monthly payments of $1000 than with monthly payments of $1050?

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Q: If $100,000 will purchase a 20-year annuity

If $100,000 will purchase a 20-year annuity paying $739 at each month’s end, what monthly compounded nominal rate and effective rate of interest are earned by the funds?

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Q: An annuity purchased for $175,000 pays $4000 at

An annuity purchased for $175,000 pays $4000 at the end of every quarter. How long will the payments continue if the funds earn 4% compounded semiannually?

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Q: Calculate the amounts that will be accumulated after 20 years if:

Calculate the amounts that will be accumulated after 20 years if: 1. $1000 is invested at the end of every six months at 5.5% compounded semiannually. 2. $2000 is invested at the end of every year at...

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Q: How much larger will the value of an RRSP be at the

How much larger will the value of an RRSP be at the end of 20 years if the contributor makes month-end contributions of $500, instead of year-end contributions of $6000? In both cases the RRSP earns 7...

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Q: Dr. Krawchuk made deposits of $2000 to his RRSP at

Dr. Krawchuk made deposits of $2000 to his RRSP at the end of each calendar quarter for six years. He then left general practice for specialist training and did not make further contributions for 2 1...

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Q: A Province of Ontario bond has 14 1 2 years remaining until

A Province of Ontario bond has 14 1 2 years remaining until it matures. The bond pays $231.25 interest at the end of every six months. At maturity, the bond repays its $5000 face value in addition to...

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