Gamma Scalping Calculator

Estimate profits from gamma scalping long straddles and strangles. Calculate whether daily stock movement is enough to overcome theta decay.

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Written by Michael Torres, CFA
Senior Financial Analyst
JW
Fact-checked by Dr. James Wilson, PhD
Options Strategy Researcher
Advanced OptionsFact-Checked

Input Values

$

Current market price of the stock.

Total gamma per share of your options position.

$

Total daily theta decay cost across all contracts.

$

Expected average daily stock price movement.

Number of option contracts in position.

Results

Daily Gamma Scalp Profit
$0.00
Net Daily P&L (Scalp - Theta)
$0.00
Breakeven Daily Move$0.00
Annualized Expected Return0.00%
Results update automatically as you change input values.

What Is Gamma Scalping?

Gamma scalping is an advanced options trading strategy where a trader holds a long gamma position (typically a long straddle or strangle) and repeatedly delta hedges as the stock price oscillates. Each time the stock moves, the trader adjusts the hedge by buying shares when the stock drops and selling shares when it rises. These trades lock in small profits from each stock oscillation. The key question is whether the profits from gamma scalping exceed the daily theta decay cost of holding the options.

This strategy is primarily used by market makers and professional volatility traders who believe the stock will move more than what is implied by the option's premium (i.e., realized volatility will exceed implied volatility). If the stock oscillates enough throughout the day, the gamma scalping profits can exceed the theta cost, resulting in a net profit even if the stock ends the day unchanged.

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The Gamma-Theta Tradeoff

Long gamma (buying options) gives you positive gamma but negative theta. You profit from stock movement but pay for time decay daily. Gamma scalping is profitable when the realized stock movement generates more hedge profit than the theta you pay. This is fundamentally a bet that realized volatility will exceed implied volatility.

Gamma Scalping Profit Formula

Gamma Scalp P&L per Rebalance
Gamma Scalp Profit = 0.5 × Gamma × (Stock Move)² × Shares per Contract × Contracts
Where:
Gamma = Position gamma per share
Stock Move = Dollar move in the stock since last hedge
Shares per Contract = 100 shares per options contract
Contracts = Number of option contracts
Breakeven Daily Move
Breakeven Move = √(2 × |Daily Theta| / (Gamma × 100 × Contracts))
Where:
Daily Theta = Total daily time decay cost (absolute value)
Gamma = Gamma per share
Contracts = Number of contracts
Gamma Scalping P&L Example
Given
Stock Price
$100
Position Gamma
0.05 per share
Daily Theta
-$50
Contracts
10
Daily Stock Move
$2.00
Calculation Steps
  1. 1Gamma scalp profit = 0.5 × 0.05 × ($2.00)² × 100 × 10 = $100
  2. 2Daily theta cost = $50
  3. 3Net daily P&L = $100 - $50 = +$50 profit
  4. 4Breakeven daily move = √(2 × 50 / (0.05 × 100 × 10)) = √(100/50) = $1.41
  5. 5Since actual move ($2.00) > breakeven ($1.41), gamma scalping is profitable
Result
The $2.00 daily stock move generates $100 in gamma scalping revenue, exceeding the $50 theta cost by $50. The stock only needs to move $1.41 per day to break even.

When Gamma Scalping Is Profitable

Gamma Scalping Profitability Scenarios
ScenarioRealized Vol vs. Implied VolDaily Move vs. BreakevenNet P&L
Highly profitableRealized >> ImpliedMove >> BreakevenStrongly positive
Moderately profitableRealized > ImpliedMove > BreakevenPositive
BreakevenRealized = ImpliedMove = Breakeven~Zero
LosingRealized < ImpliedMove < BreakevenNegative (theta dominates)

How to Implement Gamma Scalping

Gamma Scalping Implementation

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Risks and Limitations

  • Theta bleed: If the stock does not move enough, theta destroys the position daily
  • Execution costs: Frequent rebalancing racks up commissions and slippage
  • Trend risk: Trending markets can cause gamma scalping to lock in losses repeatedly (buying high, selling low on each hedge)
  • IV crush: If implied volatility drops, the long options position loses value beyond just theta
  • Capital intensive: Requires significant capital for both the options and the stock hedge
  • Skill dependent: Optimal hedging frequency and trigger selection require experience and backtesting
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Important Warning

Gamma scalping is an advanced strategy primarily used by professional traders. The costs of theta decay and transaction fees can quickly overwhelm inexperienced traders. Paper trade this strategy extensively before using real capital.

Frequently Asked Questions

Gamma scalping can be profitable for retail traders with sufficient capital and low commission structures, but it is challenging. The main obstacles are transaction costs from frequent rebalancing and the need to accurately predict when realized volatility will exceed implied volatility. Retail traders are better suited to longer rebalancing intervals (daily rather than hourly) and should only gamma scalp when they have a strong conviction that IV significantly underprices the stock's actual movement.

Sources & References

  • U.S. Securities and Exchange Commission (SEC) - Investor Education
  • Options Clearing Corporation (OCC) - Options Education
  • Chicago Board Options Exchange (CBOE) - Options Strategies
  • Hull, J.C. "Options, Futures, and Other Derivatives" (11th Edition, 2021)

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