What This Tool Does
Black-Scholes theoretical pricingThis calculator runs the Black-Scholes options pricing model — the same mathematical framework used by market makers to price contracts. It tells you what an option should theoretically be worth given your inputs, and outputs all five Greeks so you understand exactly how the position behaves.
Educational, not a trading signalThe calculator does not tell you whether to take a trade. It tells you what you're paying for and what the mechanics of the position look like. Use it before entering any options position to understand the daily decay cost, breakeven level, and directional sensitivity.
Where to Get Each Input
Ticker (Auto Price Fetch)Type any US equity ticker and hit ⚡ Get Price. The calculator fetches the live price from Tradier and populates the stock price field automatically. During market hours this is the real-time last trade. Outside market hours it returns the last known close.
Stock PriceThe current market price of the underlying stock. Available on the Dashboard, TrendLock, or any quote screen. Use the price at the time you are considering the trade — not a stale price from earlier in the session.
Strike PriceThe strike you are considering. Open the options chain on Robinhood, Fidelity, or TradingView. Choose the strike closest to where you want exposure. ATM strikes (~0.50 delta) are the ZION default for directional trades.
Days to ExpirationCount calendar days from today to the expiration date. A Friday-expiring weekly bought on Monday is 4 days. A monthly expiring in 3 weeks is 21 days. Include weekends — theta charges them.
Implied VolatilityThis is the only input that requires you to look at the actual options chain. On Robinhood, open the options chain, tap a specific contract — IV is displayed as a percentage. On TradingView, it shows in the options chain columns. Use the IV for the specific strike and expiration you are considering, not a general market IV number.
Risk-Free RatePre-filled at the approximate current 3-month Treasury rate. You rarely need to change this — its effect on most short-dated options is negligible. Only matters meaningfully for LEAPS.
Reading the Output
Theoretical Price vs Market AskCompare the calculator's theoretical price to what the market is charging. If the ask is significantly higher than theoretical, the market is pricing in extra risk — usually elevated IV expectations around an event. If they match closely, the option is fairly priced.
Theta (Daily Decay)The dollar amount per contract you lose each day from time decay alone. If theta shows -$18/day, you are paying $18 every calendar day including weekends just to hold the position. Over a 3-day weekend on a weekly: -$54 before the stock even moves.
Breakeven PriceWhere the stock needs to be at expiration for you to break even on premium paid. The stock has to close ABOVE this level (for calls) by expiration for the trade to be profitable. It must be realistic given your structural analysis.
DeltaHow much the option moves per $1 stock move. Delta 0.45 means a $5 stock move generates approximately $225 per contract gain or loss. Use this to size positions correctly relative to your dollar risk budget.
⚡ ZION Workflow
Run TrendLock to confirm PRIME structure → Open the options chain for the ticker → Note the IV for your target strike and expiration → Enter all inputs here → Check theoretical price vs ask, verify daily theta cost, confirm breakeven is achievable → Pre-Trade Checklist GO → Execute.