Quiz · Margin & Leverage · Intermediate
Stress Test the Account: A Margin and Leverage Quiz
A margin and leverage quiz that puts a hypothetical account under pressure. Every question is a sum you can do by hand before the broker does it for you.
What it tests
Whether you can work out what a fall does to margin equity, where the call price sits, what the loan costs and how much to sell to meet a call.
Margin agreements usually carry a clause to this effect: the firm may sell any securities in your account, without notice, to meet a call. It reads like boilerplate. It decides who picks the sale price. The sums that tell you when that clause wakes up are short enough to do on a phone calculator before you place the order, and each of them turns up somewhere in the questions that follow.
A hypothetical account goes through a fall, a loan, a call and a leverage check. Do each sum yourself first.
The sum that sets the trap
Equity is the positions minus the loan. The loan never shrinks when the stock falls. So every dollar of loss comes out of your equity, and once the equity drops below the maintenance share of the position, the broker can act.
A fall of about a third brings the call. A stricter house requirement, above FINRA’s 25% floor, moves it closer.
How to work the questions
Write down the position, the loan and the equity first. Most wrong choices come from applying a percentage to the wrong base, usually the position when the question is about the equity, which is exactly the mistake leverage punishes, since a loss measured against the whole position always looks smaller than the same dollar loss measured against the money you actually put in.
Interest is the slow leak. It runs every day the loan is open, the stock moving or not, and it comes out of equity the same way a loss does.
When the numbers don’t match
Rework the question in the margin call calculator and compare its lines with your own. The page on the leverage ratio shows how position size and equity combine. The course Borrowed Money Has Teeth goes from the loan and its interest to the forced sale, one lesson at a time, and its lesson on sizing a margin position to survive turns the same sums into a limit you can set before you buy. Then find the part of your own agreement that covers forced sales and read it once.
Pick an answer to mark it
The questions
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The situationYou have $25,000 of your own money and borrow $25,000 on margin, buying $50,000 of stock. The stock falls 20%.
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B: It falls 40%, to $15,000. A 20% fall takes the position from $50,000 to $40,000. The $25,000 loan stays the same size, so equity is $40,000 minus $25,000, or $15,000. That is $10,000 gone from $25,000, a 40% drop. Two times leverage turned a 20% fall into a 40% loss.
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The situationYou buy 500 shares at $60, a $30,000 position, with a $15,000 loan. Your broker's maintenance requirement on this stock is 30%.
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C: $42.86. At the call price, equity is exactly 30% of the position, so the loan equals 70% of it. Loan / (shares x 0.70) = $15,000 / 350 = $42.86. At that price the position is worth about $21,430 and equity about $6,430, which is 30%.
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The situationYou carry a $15,000 margin loan for 45 days. Assume a hypothetical rate of 8% a year, charged on a 360-day year.
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A: $150. Daily interest is $15,000 x 0.08 / 360, or about $3.33. Over 45 days that is $15,000 x 0.08 x 45 / 360 = $150. Brokers usually charge interest daily and post it monthly, and the rate comes from your broker's rate table.
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The situationYour position is worth $40,000 with a $31,000 loan, so your equity is $9,000, or 22.5%. The maintenance requirement is 25%. You decide to meet the call by selling stock.
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D: Shortfall $1,000, and it takes a $4,000 sale to cover it. At 25%, a $40,000 position needs $10,000 of equity and the account has $9,000, a $1,000 shortfall. Selling stock pays down the loan and leaves equity at $9,000, so the position has to shrink until $9,000 is 25% of it: $36,000. That takes a $4,000 sale. A $1,000 cash deposit also works.
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The situationAn account holds $60,000 of stock positions. The account's own equity is $20,000; the rest is borrowed.
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B: 3.0x. The leverage ratio is position value divided by equity: $60,000 / $20,000 = 3.0x. The $40,000 loan is what makes it higher than 1.0x. Every 1% move in the positions moves the equity 3%.
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The situationThe same account: $60,000 of positions, $20,000 of equity, 3.0x leverage. The positions fall 10% in a week.
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A: It falls 30%, to $14,000. A 10% fall on $60,000 is $6,000. The loan is unchanged, so the whole $6,000 comes out of the $20,000 of equity, leaving $14,000. That is a 30% loss, three times the move in the stocks.
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The situationYou deposit $20,000 of cash in a new margin account and want to buy a marginable stock. Regulation T, set by the Federal Reserve Board, requires an initial margin of 50%.
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C: $40,000. At 50% initial margin, your cash has to cover half the purchase, so $20,000 supports up to $40,000 of stock with a $20,000 loan. That is the federal ceiling. A broker can set a stricter house requirement, and some stocks cannot be bought on margin at all.
Your score
0 of 7
Readers also ask
How do I calculate my margin call price?
Divide the loan by a product: the share count times (1 minus the maintenance requirement). With a $12,000 loan on 600 shares and a 25% requirement, that is $12,000 / (600 x 0.75), or $26.67. Use your broker's house requirement for the stock if it is higher than the FINRA minimum.
Can a broker sell my shares without asking first?
Margin agreements usually give the broker that right. The firm may issue a call and give you time to meet it, but it is not required to, and it can choose which positions to sell. Read the liquidation section of your own margin agreement to see what your broker has reserved.
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