PUT โ right to sell at strike. Profitable if stock falls below K.
Imagine you want to book a flat for โน50 lakh. You pay a
โน1 lakh booking amount today to lock in that price for the next
6 months. If the flat price rises to โน70 lakh, you still buy at โน50 lakh.
If it falls, you walk away โ only losing โน1 lakh.
That โน1 lakh booking amount is the option premium.
This app calculates exactly that โ for Indian stocks.
| Symbol | Meaning |
|---|---|
| Sโ | Current stock price (e.g. RELIANCE at โน1,285 today) |
| K | Strike price โ the price you want to lock in |
| T | How many years until the option expires (0.25 = 3 months) |
| ฯ | Volatility โ how wildly the stock swings. Higher = pricier option |
| r | RBI Repo Rate = "safe" interest you'd earn by not taking risk |
The computer rolls a virtual dice 10,000 times, each time simulating a different possible future for the stock. Each coloured line on the chart is one possible future. The app then averages all outcomes to find the fair price. The more dice rolls (paths), the more accurate the answer.
A Nobel Prize-winning formula (1973) that solves the same problem in milliseconds using pure maths. The Monte Carlo result should be very close to this โ you can see the difference in the price card above.
These measure how sensitive your option is to different factors. Delta = how much the option moves if the stock moves โน1. Theta = how much value the option loses every day (time decay). Vega = sensitivity to market panic (India VIX).