PROBLEM1 You have $40,000 to invest in Sophie shoes, a stock selling for $80 a share. The initial margin requirement is 60 percent. Ignoring taxes and commissions, show in details the impact on your rate of return if the stock rises to $100 a share and if it declines to $40 a share assuming: (a) You pay cash for the stock, and (b) you buy it using maximum leverage. PROBLEM # 2 Lauren has a margin account and deposits $50,000. Assume the prevailing margin requirement is 40 percent, commissions are ignored, and t he Gentry Shoe Corporation is selling at $35 per share. a) How many shares can lauren purchase using the maximum allowable margin? b)What is Lauren’s profit (loss) if the price of Gentry stock? i) rises to $45? ii) falls to $25? c) If the maintenance margin is 30 percent, to what price can Gentry Shoe fall before Lauren will receive a margin call?