You purchased 100 shares of Chipotle Mexican Grill, Inc. (CMG) common stock on margin at
$431.79 per share. Assume the initial margin is 50% and the maintenance margin is 30%. One
year later, the stock price closes at $837.11. If the broker’s call loan rate is 2.00%, what is your
return on equity?
Equity = Initial margin = 431.79 * 100 * 50% = 21,589.50
Broker's Loan = Remaining 50% = 21589.50
Interest on call loan = 21589.50 * 2% = 431.79
Net Gain = Number of shares * ( Closing stock price - Purchase price ) - Interest on call loan
= 100 * ( 837.11 - 431.79 ) - 431.79
= 100 * 405.32 - 431.79
= 40100.21
Return on Equity = Net Gain / Equity * 100
= 40100.21 / 21,589.50 * 100
= 185.74 %
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