You have $40,000 to invest on Sophie Shoes, a stock selling for $80 a share. The intial margin requirement is 60 percent.

You have $40,000 to invest on Sophie Shoes, a stock selling for $80 a share. The intial margin requirement is 60 percent. Ignoring taxes and commissions, show in detail the impact on you rate of return if the stock rises to $100 a share and if its declines to $40 a share assuming: (a) you pay cash for the stock and (b) you buy it using maximum leverage.