Answer:
1) yes, you will receive a margin call. You initially borrowed $40,000 and you contributed $40,000 or your own money to purchase 4,000 shares of Ixnay at $20 per share (total investment = $80,000). At $15 per share, the market value of the shares is $60,000 (= $15 x 4,000), and your equity is only $20,000. The percentage margin = $20,000 / $60,000 which is lower than the 35% maintenance margin.
2) The lowest stock price to avoid a margin call would equal:
[(4,000 x price) - $40,000] / 4,000P = 0.35
4,000P - $40,000 = 1,400P
2,600P = $40,000
P = $15.38
Since the price fell to $15, it is below the threshold.