Margin Calls

When a stock is bought using a margin transaction, the investor provides a portion of the initial investment (the equity) and borrows the rest (the margin.) The initial margin cannot exceed 50% of the total transaction value under current regulations.

After purchase, the margin remains constant (excluding interest payments) but the amount of equity fluctuates disproportionately with the stock price. If 50% initial margin is used, a 10% change in the share price will result in a 20% change in the equity value.

The Federal Reserve also sets a minimum maintenance margin requirement, which is currently 25%. This means that if the equity falls below 25% of the total security value, the securities must be sold to repay the margin.

Consider a 50% margin purchase of 100 shares of a $100 stock. The investor’s initial equity (and margin) is $5,000. At future points, the equity will equal 100P – $5,000, or 100 shares times the current share price, less the margin amount.

The investor will receive a margin call when the value of the equity falls to 25% of the total security value, which can be calculated as follows:

(100P – $5,000)/100P = 0.25, which algebraically becomes

100P – 5,000 = 25P

75P = 5,000

P =  $66.67

If the stock price falls to $66.67, the investor will be required to sell the shares and repay the initial $5,000 margin. Only $1,666.67 of the original $5,000 would remain – a 66% loss.

For more information, see all articles on: Uncategorized

See also:
  • Margin Transactions
  • Profit Margins
  • The Contribution Margin
  • How a Company Treats Reimbursable Expenses
  • Analyzing Sales
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