You have $$34,200$ to invest in Sophie Shoes, a stock selling for $$60$ a share. The initial margin requirement is $75$ percent. Do not round intermediate calculations. Round your answers to two decimal places. Use a minus sign to enter negative values, if any.

Ignoring interest and commissions, calculate your rate of return if the stock rises to $$80$ a share and if it declines to $$20$ a share, assuming you pay cash for the stock.

Rate of return if the stock rises to $$80$ a share:

$\%$

Rate of return if the stock declines to $$20$ a share:

$\%$

Ignoring interest and commissions, calculate your rate of return if the stock rises to $$80$ a share and if it declines to $$20$ a share, assuming you buy the stock using maximum leverage.

Rate of return if the stock rises to $$80$ a share:

$\%$

Rate of return if the stock declines to $$20$ a share:

$\%$