$21-$ Michael, a data analyst at a technology firm, purchased stock in TechGrouth Inc. for $\backslash (\backslash$$ $15\mathrm{.}50\backslash )$ per share and sold it exactly $2$ years later for $\backslash (\backslash$$ $28\mathrm{.}90\backslash )$ per share. Michael is curious about his investment performance. Help him understand his earnings in terms of:

i$.$ Effective annual rate $($EAR$)$ for the $2-$year investment period.

ii$.$ Effective rate for quarterly compounding.

iii. Effective rate for monthly compounding.

Assumptions:

Neglect any commission fees for purchase and selling of stock.

Assume no dividends were paid during the investment period.