Questions from Business Mathematics


Q: Randall wants to accumulate $750,000 in his RRSP by

Randall wants to accumulate $750,000 in his RRSP by the end of his 30-year working career. What should be his initial year-end contribution if he intends to increase the contribution by 3% every year...

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Q: Simplify and collect the like terms. k ( 1 +

Simplify and collect the like terms. k ( 1 + 0.04 ) 2 + 2 k ( 1 + 0.04 ) 2

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Q: How much will it cost to purchase a 20-year indexed

How much will it cost to purchase a 20-year indexed annuity in which the end-of-quarter payments start at $5000 and grow by 0.5% every quarter? Assume that the money used to purchase the annuity earns...

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Q: Ed Monton is about to buy a 25-year annuity that

Ed Monton is about to buy a 25-year annuity that will deliver end-of-month payments. The first payment will be $1000. How much more will it cost to index the annuity so that payments grow at the rate...

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Q: Vic Toria (age 65) is about to begin receiving a

Vic Toria (age 65) is about to begin receiving a CPP retirement pension of $11,000 per year. This pension is indexed to the Consumer Price Index (CPI). Assume that the annual pension will be paid in a...

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Q: Petra Borough is about to retire from a government job with a

Petra Borough is about to retire from a government job with a pension that is indexed to the Consumer Price Index (CPI). She is 60 years old and has a life expectancy of 25 years. Estimate the current...

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Q: Cal Gary has accumulated $600,000 in her RRSP and

Cal Gary has accumulated $600,000 in her RRSP and is about to purchase a 25-year annuity from which she will receive month-end payments. The money used to purchase the annuity will earn 4.8% compounde...

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Q: Dean has already implemented the first stage of his financial plan.

Dean has already implemented the first stage of his financial plan. Over a 30-year period, he will continue to increase his annual year-end RRSP contributions by 3% per year. His initial contribution...

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Q: Monica bought a $1250 4K Ultra HD TV for 20%

Monica bought a $1250 4K Ultra HD TV for 20% down, with the balance to be paid with interest at 15% compounded monthly in six equal monthly payments. Construct the full amortization schedule for the d...

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Q: Valley Produce received $50,000 in vendor financing at 7

Valley Produce received $50,000 in vendor financing at 7.8% compounded semiannually for the purchase of harvesting machinery. The contract requires equal annual payments for seven years to repay the d...

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