Finance · Investments & Markets

Option Theta Calculator

Estimate European Black-Scholes theta per calendar day.

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Quick guide

How to use this calculator

  1. Enter the contract, market, expiry, rate, and position assumptions named by the fields.
  2. Keep premiums, prices, multipliers, contract counts, and time conventions consistent.
  3. Read the exact expiry-payoff or model assumptions before interpreting the result.

Calculation method

Calculation method

Annual model theta combines diffusion, financing, and yield terms; displayed theta divides by 365.

Expiry-payoff arithmetic uses the entered terminal underlying price. Model-derived values are explicitly estimates and reject unsupported domains.

Worked example

Worked example

Enter code 1 for call or −1 for put and the shared Black-Scholes assumptions.

Annual model theta combines diffusion, financing, and yield terms; displayed theta divides by 365.

Supported inputs

Precision and limits

Visible input limits

Fixed decimals accept up to 30 digits and 12 decimal places with absolute values capped at 1e12. General rates are bounded from −100% through 1000% where signed rates are meaningful.

No contract or market feed

No exchange specification, live quote, exercise style, dividend schedule, settlement rule, margin model, or contract multiplier is selected automatically.

Decision boundary

Outputs are entered scenarios, not quotes, forecasts, arbitrage findings, risk limits, suitability judgments, or recommendations.

Calculator-specific assumptions

Displayed theta is per calendar day under continuous model time.