Margin Loan
A margin loan is a loan from a brokerage to a client, secured by marginable securities held in the client's brokerage account. Federal Regulation T sets the initial margin requirement (typically 50% of marginable equity); brokerage maintenance requirements (often 25–35%) trigger margin calls when account equity falls below the threshold.
Margin loans are the cheapest unsecured-feeling credit available to most retail investors with sufficient assets — interest rates typically prime + 0.5% to prime + 3% depending on account size, often beating mortgage HELOC rates and almost always beating credit cards. The catch is the secured-by-securities collateral structure: when markets fall, the value of the collateral falls, and the brokerage can demand additional cash or securities (a margin call) or liquidate positions to restore the maintenance ratio.
The maintenance ratio mechanics are the source of nearly every margin-related disaster story. Suppose an account holds $100k of marginable equities supporting a $30k margin loan; account equity is $70k, against a 30% maintenance requirement on $100k of long market value, requiring $30k of equity. The cushion is $40k. A 30% market decline drops long market value to $70k; required equity at 30% becomes $21k against actual equity of $40k − $30k = $10k debit balance ... actually, equity = market value − loan = $70k − $30k = $40k. Wait let me recompute: required equity is 30% × $70k = $21k. Actual equity = $40k. Still in compliance. A 50% decline: market value $50k, equity $50k − $30k = $20k, required equity 30% × $50k = $15k. Still in compliance. A 65% decline: market value $35k, equity = $5k, required = $10.5k. Margin call: deposit $5.5k or face liquidation.
Two concentrated-risk multipliers make this worse in practice. First, single-stock margin requirements often start at 50% maintenance instead of 25%, dramatically tightening the cushion. Second, falling-knife liquidations sell into a thin market — the broker doesn't wait for a recovery, so realized losses often exceed the paper loss that triggered the call.
E = LMV − L- E
- = account equity (the client's claim)
- LMV
- = long market value of marginable securities
- L
- = outstanding margin loan including accrued interest
Synthetic households with margin loans need full mechanics: outstanding balance, current interest rate (with prime-rate sensitivity), collateral marketable equity, current LTV ratio, distance to maintenance call. A meaningful subset should be in stress: pre-existing margin call, near-cushion accounts that respond to a market shock, concentrated-position margin where a single security drives the call. These edge cases drive cash-management algorithms, margin-call alerting features, and pledged-asset-line risk models.
Common pitfalls
- Computing maintenance against initial loan amount instead of current LTV — the call depends on current market value of collateral, not historical.
- Letting concentrated positions earn the same maintenance multiplier as diversified equity — single-stock margin requirements should be 50% by default.
- Forgetting that interest accrues daily; an 'unpaid' margin loan can balloon meaningfully over a multi-month down market without explicit payments.
- Not modeling the liquidation cascade — broker liquidations often hit at the worst time and at unfavorable prices, deepening the realized loss.
Examples
Account with mixed concentration shocks the cushion.
Initial state: Long market value: $400,000 Margin loan: $150,000 Account equity: $250,000 Maintenance req (25%): $100,000 Cushion: $150,000 After 35% market decline: Long market value: $260,000 Margin loan: $150,000 (unchanged + accrued interest) Account equity: $110,000 Maintenance req (25%): $65,000 Cushion: $45,000 → still in compliance After 50% decline: Long market value: $200,000 Account equity: $50,000 Maintenance req (25%): $50,000 Cushion: $0 → margin call