GEVORDERD · DERIVATEN & ALGO

Leverage & Margin Deep Dive

Margin mechanics, maintenance requirements, cascading liquidation, and cross vs. isolated margin.

Delta, gamma, theta en vega: begrijp de gevoeligheden van opties.

How Leverage Actually Works

Leverage allows you to control a position larger than your deposited capital (margin). When you use 10x leverage, you deposit $1,000 to control a $10,000 position. The exchange or broker lends you the difference.

This is not free money - it's borrowed exposure. The borrowed portion accrues funding costs, and your margin serves as collateral that can be seized if the trade goes against you.

Core truth: Leverage does not increase your expected return. It increases your exposure per dollar of capital. This amplifies both profits AND losses equally. A 10x leveraged position that moves 1% against you costs you 10% of your margin.

Initial Margin vs. Maintenance Margin

  • Initial margin: The minimum collateral required to open a position. At 10x leverage, initial margin is typically 10% of position value.
  • Maintenance margin: The minimum collateral required to keep the position open. This is lower than initial margin (often 5% or less). If your equity drops below this level, liquidation begins.
LeverageInitial MarginApprox. Liquidation Distance
2x50%~50% move against you
5x20%~20% move against you
10x10%~10% move against you
25x4%~4% move against you
100x1%~1% move against you

At 100x leverage, a 1% adverse move wipes out your entire margin. Bitcoin routinely moves 3-5% in a single hour.

Cross Margin vs. Isolated Margin

Most exchanges offer two margin modes:

  • Isolated margin: Only the margin allocated to a specific position is at risk. If the position is liquidated, you lose only that margin. Other positions and your remaining balance are unaffected.
  • Cross margin: Your entire account balance serves as margin for all positions. This gives you a wider liquidation buffer, but if one position goes badly wrong, it can drain your entire account.
Trade-off: Isolated margin limits your maximum loss per position but gets liquidated more easily. Cross margin is harder to liquidate but puts your entire account at risk. Most professionals use isolated margin for individual trades and manage risk at the portfolio level.

Cascading Liquidation

In volatile markets, liquidations can trigger more liquidations in a cascade:

  • Price drops → overleveraged longs get liquidated → their positions are market-sold → this pushes price down further → more liquidations trigger → price drops more.
  • This positive feedback loop is called a liquidation cascade or "long squeeze" (or "short squeeze" in the opposite direction).
  • Cascades explain why crypto markets often see sudden 10-20% moves in minutes - it's not just selling, it's forced selling from liquidations.

Funding Rates

In perpetual futures (common in crypto), there are no expiration dates. Instead, a funding rate mechanism keeps the futures price aligned with the spot price:

  • When funding is positive, longs pay shorts. This means it costs money to hold a long position.
  • When funding is negative, shorts pay longs.
  • Funding is typically charged every 8 hours.
  • In extreme bullish sentiment, funding can be very high - holding a leveraged long becomes expensive.

Effective Leverage vs. Notional Leverage

There's a difference between the leverage the exchange offers and the leverage you actually use:

  • Notional leverage: Position size / margin deposited. If you deposit $1,000 and open a $10,000 position, notional leverage is 10x.
  • Effective leverage: Position size / total account equity. If your total account is $50,000 and you open a $10,000 position, effective leverage is only 0.2x - very conservative.

Professional traders often use high notional leverage on individual positions but keep effective leverage low across their portfolio.

Practice

Exercise 1

Calculate: You have $5,000 in your account. You open a 20x leveraged long position worth $100,000. The asset drops 3%. What is your unrealized loss? What percentage of your margin is gone?

Answer: $3,000 loss = 60% of your $5,000 margin.

Exercise 2

Explain in your own words why a liquidation cascade happens and why it's self-reinforcing.

Key Takeaways

  • Leverage is borrowed exposure, not free money.
  • Higher leverage = smaller margin for error before liquidation.
  • Isolated margin limits per-position risk; cross margin risks the whole account.
  • Liquidation cascades create self-reinforcing price moves.
  • Effective leverage (vs. total equity) matters more than notional leverage.

De Greeks

De Greeks meten de gevoeligheid van een optieprijs voor verschillende factoren:

  • Delta: Hoeveel de optieprijs verandert per beweging van de onderliggende asset.
  • Gamma: De snelheid waarmee delta verandert.
  • Theta: Tijdsverval — hoeveel waarde de optie per dag verliest.
  • Vega: Gevoeligheid voor veranderingen in volatiliteit.

Belangrijkste punten

  • Delta meet richtingsgevoeligheid.
  • Theta is de vijand van optiekopers en de vriend van verkopers.
  • Vega maakt opties gevoelig voor volatiliteitsveranderingen.
  • Begrijp de Greeks voordat je opties handelt.

Les afgerond

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