$)$ Explain how the effective annual rate changes based on the number of compounding periods per year. $$

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c$)$ What is the future value of $$17,500($as above$)$ after twenty$-$two years assuming $4\mathrm{.}2\%$ annual rate, with quarterly compounding? $$

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d$)$ What is the effective annual rate $($EAR$)$ for $4\mathrm{.}2\%$ annual interest rate with quarterly compounding? $$

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e$)$ Explain how the effective annual rate changes based on the number of compounding periods per year. $$

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f$)$ What is the future value of $$17,500($as above$)$ after twenty$-$two years assuming $4\mathrm{.}2\%$ annual interest, with daily compounding? Assume a $365-$day year and do not do any interim rounding.

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g$)$ What is the effective annual rate for $4\mathrm{.}2\%($APR$)$ annual interest with daily compounding?