You have $$40,600$ to invest in Sophie Shoes, a stock selling for $$70$ a share. The initial margin requirement is $80$ percent. Do not round intermediate calculations. Round your answers to two decimal places. Use a minus sign to enter negative values, if any.

a$.$ Ignoring taxes and commissions, calculate your rates of return if the stock rises to $$80$ a share and if it declines to $$25$ 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 $$25$ a share:

$\%$

b$.$ Ignoring taxes and commissions, calculate your rates of return if the stock rises to $$80$ a share and if it declines to $$25$ a share assuming you buy it using maximum leverage.

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

$\%$

Rate of return if the stock declines to $$25$ a share:

$\%$