Suppose you purchase $600$ shares of stock at $$33$ per share with an initial cash investment of $$9,900.$ The call money rate is $5$ percent and you are charged a $1\mathrm{.}5$ percent premium over this rate. Ignore dividends.

a$.$ Calculate your return on investment one year later if the share price is $$41.$ Suppose instead you had purchased $$9,900$ of stock with no margin. What would your rate of return have been now?

Note: Do not round intermediate calculations. Enter your answers as a percent rounded to $2$ decimal places.

$\backslash$table$[[69,$Rate of Return$],[$With margin,$\%$