Questions from Business Mathematics


Q: What is the time remaining until the maturity date of a $

What is the time remaining until the maturity date of a $50,000 strip bond if it has just been purchased for $20,822.89 to yield 5.38% compounded semiannually until maturity?

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Q: When discounted to yield 9.5% compounded quarterly, a

When discounted to yield 9.5% compounded quarterly, a $4500 four-year promissory note bearing interest at 11.5% compounded semiannually was priced at $5697.84. How long after the issue date did the di...

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Q: The population of a mining town declined from 17,500 to

The population of a mining town declined from 17,500 to 14,500 in a five-year period. If the population continues to decrease at the same compound annual rate, how long, to the nearest month, will it...

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Q: To the nearest day, how long will it take a $

To the nearest day, how long will it take a $20,000 investment to grow to $22,000 (including accrued interest) if it earns 7% compounded quarterly? Assume that a quarter-year has 91 days.

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Q: A company’s sales dropped 10% per year for five years.

A company’s sales dropped 10% per year for five years. 1. What annual rate of sales growth for the subsequent five years would return the sales to the original level? 2. To the nearest month, how long...

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Q: An investor’s portfolio increased in value from $35,645 to

An investor’s portfolio increased in value from $35,645 to $54,230 over a six-year period. At the same time, the Consumer Price Index rose by 26.5%. What was the portfolio’s annually compounded real r...

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Q: Which of the following rates would you prefer for a loan:

Which of the following rates would you prefer for a loan: 7.6% compounded quarterly, 7.5% compounded monthly, or 7.7% compounded semiannually?

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Q: Use S = P(1 + rt), to calculate P

Use S = P(1 + rt), to calculate P if r = 0.004, S = $3626, and t = 9.

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Q: A $10,000 investment grew to $12,000

A $10,000 investment grew to $12,000 after 39 months of semiannual compounding. What effective rate of return did the investment earn?

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Q: In 1859, 24 wild rabbits were released at Barwon Park in

In 1859, 24 wild rabbits were released at Barwon Park in southern Victoria, Australia. By 1926, it was estimated that the rabbit population had grown to 400 million times this number. What is the effe...

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