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Problem $5\mathrm{.}23($Future Value for Various Compounding Periods$)$

Problem Walk$-$Through

Find the amount to which $$300$ will grow under each of these conditions:

a$.16\%$ compounded annually for $4$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

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b$.16\%$ compounded semiannually for $4$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

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c$.16\%$ compounded quarterly for $4$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

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d$.16\%$ compounded monthly for $4$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

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e$.16\%$ compounded daily for $4$ years. Assume $365-$days in a year. Do not round intermediate calculations. Round your answer to the nearest cent.

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f$.$ Why does the observed pattern of FVs occur?

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The future values increase because as compounding periods per year increase, interest is earned on interest less frequently.

The future values decrease because as compounding periods per year increase, interest is earned on interest more frequently.

The future values increase because as compounding periods per year increase, interest is earned on interest more frequently.

The future values increase because as compounding periods per year decrease, interest is earned on interest more frequently.

The future values decrease because as compounding periods per year decrease, interest is eamed on interest more frequently,

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