Calculating the future value of an annuity.

Suppose you save $$100$ monthly for $25$ years. If you earn

$6\%$ per year on your savings, how much will you have

accumulated by the end of $25$ years? Assume monthly

compounding.

$\frac{\text{:}FV}{0\mathrm{.}0050}=$$$100\mathrm{.}00**[(1+0\mathrm{.}0050{)}^{300}-1]=$

$$69,299\mathrm{.}40$

Suppose you save $$2$ daily for $25$ years. If you earn $12\%$

per year on your savings, how much will you have

accumulated by the end of $25$ years? Assume daily

compounding.

Suppose you save $$75$ quarterly for $25$ years. If you earn

$6\%$ per year on your savings, how much will you have

accumulated by the end of $25$ years? Assume quarterly

compounding.

Suppose you save $$500$ semi$-$annually for $25$ years. If you

earn $12\%$ per year on your savings, how much will you

have accumulated by the end of $25$ years? Assume semi$-$

annual compounding.

Suppose you save $$1000$ monthly for $25$ years. If you earn

$6\%$ per year on your savings, how much will you have

accumulated by the end of $25$ years? Assume monthly

compounding.