Borrowed Money Has Teeth: Margin Accounts, Interest and Margin Calls · Lesson II
What Margin Interest Costs Over a Day, a Month and a Year
How much margin interest costs is a daily sum: the balance you owe, times the annual rate, divided by the days in the broker's year. The monthly statement only shows the total.
In this lesson you will learn to
- Work out the daily, monthly and yearly interest on a margin balance from the quoted rate
- Explain why a 360-day count costs more than the quoted rate over a calendar year
- Calculate the gain a half-financed position needs just to pay its interest
- Show how unpaid interest raises the margin call price
Margin interest reaches most borrowers as one debit a month on the statement. That line hides how it was built: a small charge worked out every night on whatever the account owed at the close, at a rate the broker is free to change, added up and posted as a single figure.
Break it back into days and the cost gets easier to judge.
How the daily charge is worked out
Many brokers use the same formula.
Daily interest = debit balance x annual rate / 360
The debit balance is the loan. The annual rate comes from the broker’s rate table, and the 360 is a lending convention that treats a year as twelve months of thirty days, even though the interest keeps accruing on all 365 of them. Some firms divide by 365. The charges pile up through the month and post as one line near its end.
Rates are usually tiered. A larger balance gets a lower rate, and each tier is quoted as a spread above a base rate that the broker sets and can move whenever it likes, which means the same loan can cost more next month with nothing in your account having changed. A one-point rise in the base rate adds about $0.28 a day to a $10,000 balance. Over thirty days that comes to roughly $8.33.
A day, a month and a year on $10,000
Here is a hypothetical 12% rate on a $10,000 balance, charged on a 360-day basis.
A few dollars a day sounds like nothing. Over a calendar year the 360-day count turns a quoted 12% into roughly 12.17% of the balance, because the daily figure is sized for a shorter year than the one you actually borrow through. The margin interest calculator runs the same arithmetic on any balance and rate.
The hurdle a position has to clear
Interest is a cost you pay whether the trade works or not.
Take a $20,000 position, half financed: $10,000 of your money, $10,000 borrowed at the same hypothetical 12%. The year’s interest is $1,200 on the 360-day count. Divide that by the $20,000 position and the stock has to gain 6% in a year before you are even back where you started, a little more on the calendar count, and measured against your own $10,000 of equity the same $1,200 is 12% of what you put in.
Dividends help. Suppose the stock pays a hypothetical 2% yield: on $20,000 that is $400 a year, which cuts the net cost to $800 and lowers the hurdle to 4%. A stock that pays nothing leaves the whole charge standing.
Once you see the hurdle as a percentage of the position, a slow trade stops looking free. A stock that goes nowhere for a year has still cost you $1,200. The answer on whether margin trading is worth the interest takes that break-even test further.
The interest can sometimes be deducted. The IRS treats margin interest spent on taxable investments as investment interest, deductible up to your net investment income if you itemize, and the answer on whether margin interest is tax deductible covers Form 4952. Situations differ, and the hurdle above assumes no deduction at all.
Unpaid interest makes the loan bigger
There is rarely a separate bill. The broker charges the interest to the account, and unless cash is sitting there to cover it, the charge is added to the debit balance, so next month’s interest is worked out on a slightly larger loan.
A bigger loan changes the call price. The standard formula for a long position is loan / (shares x (1 - maintenance)).
That is a higher trigger. The stock has to fall less before the broker calls, and that $29.87 figure still leaves out the small extra from interest charged on interest. The margin interest entry shows how that compounding works on a statement.
Paying the interest in cash each month keeps the loan flat. Letting it roll means the loan grows while the collateral does whatever the market does, which sets up the subject of the next lesson: what happens when equity falls far enough that the broker issues a call, and how that call ends.
Check your understanding
Lesson quiz
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Show the answer
B: $3.33. Daily interest = balance x rate / 360 = $10,000 x 0.12 / 360 = $3.33.
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Show the answer
A: 6%. A year of interest on the 360-day count is $1,200, and $1,200 / $20,000 = 6% of the position.
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Show the answer
C: It rises, because the interest is added to the loan. Unpaid interest is charged to the debit balance, a bigger loan needs more collateral, and the call price moves up.
Your score
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Readers also ask
Why do brokers use a 360-day year for margin interest?
A 360-day count is a long-standing lending convention, and many brokers use it for margin balances. Because interest still accrues on every calendar day, dividing the annual rate by 360 and charging it for 365 days works out to a little more than the quoted rate. Some firms count 365 days; the margin agreement or rate table says which.
Is margin interest charged on weekends?
Interest usually accrues on every calendar day the balance is outstanding, weekends and holidays included, because the loan is outstanding on those days too. It is then posted to the account once a month. Your broker's rate disclosure states the accrual method it uses.