You have \\( \\$ 52,000 \\) to invest in Sophie Shoes, a stock selling for \\( \\$ 100 \\) 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 retum if the stock rises to \\( \\$ 110 \\) a share and if it dectines to \\( \\$ 60 \\) a share assuming you pay cash for the stock. Rate of return if the stock rises to \\( \\$ 110 \\) a share: \ Rate of return if the stock declines to \\( \\$ 60 \\) a share: \\% b. Ignoring taxes and commissions, calculote your rates of return if the stock rises to \\( \\$ 110 \\) a share and if it declines to \\( \\$ 60 \\) a share assuming you buy it using maximum leverage. Rate of return if the stock rises to \\( \\$ 110 \\) a share: Rate of return if the stock decines to \\( \\$ 60 \\) a share: \