Teaching tools, not trade tools. Every output is a Black-Scholes model estimate and will not match live market premiums. Nothing here accounts for the bid-ask spread, brokerage, STT, GST, stamp duty, slippage or your broker's actual margin requirement. Do not size a real position on these numbers alone. Disclaimer, risk and privacy.
Payoff Diagram Builder
Build any multi-leg position and read its expiry P&L in ₹, with breakevens and the worst case marked. The chart is the same one every lesson uses.
Your position × 1 lot of 65+₹40,768+₹18,200−₹4,368₹0 · break even line24,20024,60025,00025,40025,800Underlying at expiryBE 25,120worst case −₹7,800+₹44,200
Option Price + Greeks Calculator
Black-Scholes fair value with the premium split into intrinsic and time value (Lesson 5), plus the full risk dashboard from Lessons 16 to 18. Interest rate is taken as zero: Lesson 7's rho card explains why that is fine for weeklies.
Fair value ₹165.7 per unit · ₹10,773 per lot (intrinsic ₹0 + time value ₹165.7)
Delta 0.50 (₹32.7/point per lot) · Gamma 0.00096/point · Theta −₹11.8/unit/day (−₹769 per lot) · Vega ₹13.8/unit per IV point
Model outputs, exact to the formula; lessons round these for teaching. Real quotes add the bid-ask toll from Lesson 15.
Probability + Expected Move
The market's one-standard-deviation expected move (Lesson 9) and the model probability of finishing beyond a strike, the same number the delta column approximates (Lesson 17).
Expected move ±415 points: roughly 24,585 to 25,415 (1.7% each way)
Chance of expiring above 25,200 ≈ 31% · below it ≈ 69%
Model probabilities under the market's own IV: odds, never promises. About 1 week in 3 finishes outside the expected move, by construction.
Position Size Calculator
Lesson 30's sizing rule as arithmetic: risk budget from the account, lots from the printed worst case. Never from margin available.
Risk budget ₹10,000 per trade → 2 lots (₹8,450 at risk)
Risk : Reward + Expected Value
The only equation that matters (Lesson 30): win rate × payoffs. Run it before every trade; a high win rate can still be a slow leak.
Expected value −₹650 per trade · risk:reward 1 : 0.33
Breakeven win rate 75%: below this, the strategy loses money whatever it feels like.
Education only. Not investment advice. Options Gyan is not SEBI registered and recommends nothing: no tips, no calls, no telegram group, free forever. F&O trading involves a substantial risk of loss, and selling options can lose you more than you put in. Read SEBI’s risk disclosure before trading.
Prices, lot sizes and expiry days in the lessons are illustrative teaching figures, not live quotes: confirm the current ones with your broker. Not affiliated with NSE, BSE, SEBI or any broker. NIFTY is a trademark of NSE Indices Ltd.