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Option Premium Calculator

Calculate option premiums using the Black-Scholes model and analyze the Greeks for better trading decisions.

Option Parameters

Days
(1 months)
%
%

Premium Breakdown

At-the-Money (ATM)
Breakeven: ₹18,973.11
Option Premium
473.11
Intrinsic Value
0
Time Value
473.11
Days to Expiry
30
Delta (Δ)
0.5485
Price sensitivity
Gamma (Γ)
0.0004
Delta sensitivity
Theta (Θ)
-3184.12
Time decay
Vega (ν)
21.00
Volatility sensitivity

Greeks Analysis

Profit & Loss at Expiry

Option Details

Option Type:call
Spot Price:18,500
Strike Price:18,500
Moneyness:At-the-Money (ATM)

Breakeven Price:18,973.11

Market Parameters

Implied Volatility:20%
Risk-Free Rate:6.5%
Time to Expiry:30 days
Time Value %:100.0%

Fair Value:473.11

Understanding the Greeks

Delta (Δ)

Measures how much the option price changes for a ₹1 change in the underlying price. Call options have positive delta (0 to 1), put options have negative delta (-1 to 0).

Gamma (Γ)

Measures how much delta changes for a ₹1 change in the underlying price. Higher gamma means delta is more sensitive to price movements.

Theta (Θ)

Measures time decay - how much the option loses value each day. Usually negative for long options, representing daily value loss.

Vega (ν)

Measures sensitivity to volatility changes. A 1% increase in implied volatility will change the option price by the vega amount.

Important Notes:

  • • This calculator uses the Black-Scholes model which assumes constant volatility and interest rates
  • • Real option prices may differ due to market factors like liquidity, demand/supply, and dividends
  • • Greeks change as market conditions change - they are not constant
  • • American options (which can be exercised early) may have different values than European options
  • • Consider transaction costs, bid-ask spreads, and brokerage when trading options
  • • Options are leveraged instruments with potential for 100% loss of premium paid
  • • This calculator is for educational purposes only and not financial advice