You have $$46,000$ to invest in Sophie Shoes, a stock selling for $$100$ a share. The initial margin requirement is $55$ percent. Do not round intermediate calculations. Round your answers to two decimal places. Use a minus sign to enter negative values, if any.

Ignoring taxes and commissions, calculate your rates of return if the stock rises to $$130$ a share and if it declines to $$40$ a share assuming you pay cash for the stock.

Rate of return if the stock rises to $$130$ a share:

$\%$

Rate of return if the stock declines to $$40$ a share:

$\%$

Ignoring taxes and commissions, calculate your rates of return if the stock rises to $$130$ a share and if it declines to $$40$ a share assuming you buy it using maximum leverage.

Rate of return if the stock rises to $$130$ a share:

$\%$

Rate of return if the stock declines to $$40$ a share: