Suppose you purchase $1,150$ shares of stock at $$82$ per share with an initial cash investment of $$47,150.$ 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 $$90.$ Suppose instead you had purchased $$47,150$ 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$[[,$Rate of Return$],[$With margin,$13\mathrm{.}52,\%$