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Margin Floor

The margin floor ensures portfolios maintain minimum margin requirements even when hedged positions offset each other in scenario analysis.

Overview

Scenario-based margin can underestimate risk when:

  • Spreads appear perfectly hedged but have path-dependent risk
  • Gamma accelerates near expiry faster than discrete scenarios capture
  • Correlation assumptions break down during extreme moves

The floor acts as a backstop: a minimum margin that applies regardless of how favorable the scenario analysis looks.

How It Works

The margin floor is calculated as a percentage of spot notional for each net short option position:

Floor=floor_factor×S×Net Short Options\text{Floor} = \text{floor\_factor} \times S \times |\text{Net Short Options}|

The final margin requirement is:

Margin=max(Scenario Margin,Floor)+Gamma Kicker\text{Margin} = \max(\text{Scenario Margin}, \text{Floor}) + \text{Gamma Kicker}

Option Contingency

For each strike, we identify the net short position and apply the floor factor:

AssetFloor FactorDescription
BTC1.5%0.015 × spot per net short contract
ETH1.5%0.015 × spot per net short contract

Example: If you have 10 short BTC calls at strike 100,000 and 5 long BTC calls at strike 105,000, your net short is 5 contracts. With BTC at $100,000:

Floor=0.015×$100,000×5=$7,500\text{Floor} = 0.015 \times \$100{,}000 \times 5 = \$7{,}500

Even if scenario analysis shows lower risk due to the spread, margin cannot drop below $7,500.

Short-Dated Gamma Kicker

Options expiring within 48 hours receive additional margin to account for rapid gamma acceleration:

ParameterValue
Expiry threshold48 hours
Kicker factor1.0% of spot per short contract
Gamma Kicker=kicker_factor×S×Short OptionsT<48h\text{Gamma Kicker} = \text{kicker\_factor} \times S \times |\text{Short Options}_{T < 48h}|

This is additive. It applies on top of the floor or scenario margin, whichever is higher.

Parameters

ParameterDescriptionValue
option_floor_factorFloor % of notional for net shorts1.5%
gamma_kicker_factorExtra % for short-dated options1.0%
expiry_thresholdTime window for gamma kicker48 hours

Examples

Example 1: Short Strangle

Position: Short 1 BTC 90,000 put + Short 1 BTC 110,000 call Spot: $100,000

Net short options=2\text{Net short options} = 2 Floor=0.015×$100,000×2=$3,000\text{Floor} = 0.015 \times \$100{,}000 \times 2 = \$3{,}000

Even if the strangle shows minimal scenario risk (both options are OTM), margin is at least $3,000.

Example 2: Near-Expiry Position

Position: Short 5 BTC 100,000 calls expiring in 24 hours Spot: $100,000

Floor=0.015×$100,000×5=$7,500\text{Floor} = 0.015 \times \$100{,}000 \times 5 = \$7{,}500 Gamma Kicker=0.01×$100,000×5=$5,000\text{Gamma Kicker} = 0.01 \times \$100{,}000 \times 5 = \$5{,}000 Minimum Margin=$7,500+$5,000=$12,500\text{Minimum Margin} = \$7{,}500 + \$5{,}000 = \$12{,}500

Example 3: Hedged Spread

Position: Short 10 BTC 100,000 calls + Long 10 BTC 105,000 calls Spot: $100,000

Net short=0(fully hedged at each strike)\text{Net short} = 0 \quad \text{(fully hedged at each strike)} Floor=0.015×$100,000×0=$0\text{Floor} = 0.015 \times \$100{,}000 \times 0 = \$0

The spread has no floor because there's no net short exposure. Margin is determined purely by scenario analysis of the spread's max loss.


See also: