You have $$$$57$ comma $000$ to invest in the stock market and have sought the expertise of$$ Adam, an experienced colleague who is willing to advise$$ you, for a fee. Adam informs you he has found a$$ one$-$year investment that provides $9$ percent$$ interest, compounded monthly. Answer parts$($a$)$ through$($c$)$ below.

Part $2$

a$.$ What is the effective annual interest rateLOADING... based on a $9$ percent nominal annual rate and monthly$$ compounding?

The effective annual interest rate is

$$

$9\mathrm{.}38$ percent.

$($Type an integer or decimal rounded to two decimal places as$$ needed.$)$

Part $3$

b$.$ Adam says he will make the investment for a modest fee of $2$ percent of the$$ investment's value one year from now. If you invest the $$$$57$ comma $000$today$,$ how much will you have at the end of one year$($before Adam's$$ fee$)?$

At the end of one$$ year, there will be $$$

$$

$62346\mathrm{.}99.$

$($Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as$$ needed.$)$

Part $4$

c$.$ What is the effective annual interest rate of this$$ investment, including$$ Adam's fee?

The effective annual interest$$ rate, including$$ Adam's fee, is

$$

$7\mathrm{.}44$ percent.

$($Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as$$ needed.$)$