๐Ÿ“ˆ
Monte Carlo Option Pricer
Geometric Brownian Motion ยท Black-Scholes ยท Option Greeks ยท India Edition
Engineered by Jay C
๐Ÿ‡ฎ๐Ÿ‡ณ NSE โ— LIVE โšก Advanced
๐Ÿ” Select Stock Reliance Industries
๐Ÿ”
Current Price
โ‚น1,285.00
Historical Vol (1Y)
26.00%
โš™๏ธ Parameters
Stock Price (Sโ‚€)
Strike Price (K)
Volatility (ฯƒ) โ€” Annual โ“˜
Calm
10โ€“20%
Normal
20โ€“35%
High
35โ€“55%
Extreme
55%+
What it is Std deviation of daily returns ร— โˆš245 (NSE days)
Where to get Auto-filled โ†‘ ยท NSE F&O ยท Sensibull ยท Moneycontrol
Effect on price โ†‘ Higher ฯƒ โ†’ both Call & Put get more expensive
Impact Biggest driver of option price โ€” Vega measures this
Risk-Free Rate (r) โ“˜
What it is Return from a "guaranteed" investment (RBI deposit)
Effect on CALL โ†‘ Higher r โ†’ higher call price
Effect on PUT โ†‘ Higher r โ†’ lower put price
Impact Small vs. volatility โ€” Rho measures this exactly
Expiry (Days)
Year Basis Convention 250 days
Simulation Paths
๐Ÿ“‹ Option Type
CALL โ€” right to buy at strike. Profitable if stock rises above K.
PUT โ€” right to sell at strike. Profitable if stock falls below K.
Uses 245 NSE trading days/year ยท RBI Repo Rate default ยท European options only
๐Ÿ’ฐ Option Price European Style
Monte Carlo โ€” CALL
โ€”
Run simulation to see results
Black-Scholes โ€” CALL
โ€”
Analytical (closed-form)
Waiting for simulationโ€ฆ โ€”
๐Ÿ“Š GBM Price Paths 60 sample paths shown
โ€”
๐Ÿ”ข Option Greeks Hover for plain-English explanation
ฮ”
Delta
โ€”
Run a simulation to see Greeks.
ฮ“
Gamma
โ€”
Rate of change of Delta.
V
Vega
โ€”
Sensitivity to volatility.
ฮ˜
Theta
โ€”
Daily time decay of option value.
ฯ
Rho
โ€”
Sensitivity to RBI repo rate.
๐Ÿ“‰ MC Convergence
๐Ÿ“ˆ Payoff at Expiry
๐Ÿ”ฌ Sensitivity Analysis