Three years ago, you bought $600$ shares of Kayleigh Milk Co$.$ for $$25$ a share with a margin of $80$ percent. Currently, the Kayleigh stock is selling for $$30$ a share. Assume there are no dividends and ignore commissions. Do not round intermediate calculations. Round your answers to two decimal plades.

a$.$ Assuming that you pay cash for the stock, compute the annualized rate of return on this investment if you had paid cash. $\%$

b$.$ Assuming that you used the maximum leverage in buying the stock, compute the annualized rate of return with the margin purchase.

$\%$

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