a$.$ Calculate the future sum of $$$$5$ comma $000,$ given that it will be held in the bank for $5$ years at an APR of $4$ percent.

b$.$ Recalculate part $($a$)$ using compounding periods that are$(1)$ semiannual and$(2)$ bimonthly$($every two$$ months$).$

c$.$ Recalculate parts $($a$)$ and $($b$)$ for an APR of $8$ percent.

d$.$ Recalculate part $($a$)$ using a time horizon of $10$ years$($the APR is still $4$percent$).$

e$.$ With respect to the effect of changes in the stated interest rate and holding periods on future sums in parts $($c$)$ and $($d$),$ what conclusions do you draw when you compare these figures with the answers found in parts $($a$)$ and $($b$)?$

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Part $1$

a$.$ What is the future sum of $$$$5$ comma $000$ in a bank account for $5$ years at an APR of $4$percent$?$

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