Options Calculator

Advanced options calculator with Black-Scholes pricing, Greeks analysis, and profit/loss scenarios. Professional-grade tool for calls, puts, and complex options strategies.

Options Parameters

Current Stock Price ($):

Strike Price ($):

Days to Expiry:

Implied Volatility (%):

Risk-Free Rate (%):

Profit/Loss Analysis

Number of Contracts:

Premium Paid per Share ($):

Target Stock Price ($):

Current Option Value

Enter parameters to see option value

The Greeks

Greeks will appear here

Quick Stats

Option Type:Call

Moneyness:At-the-Money

Days to Expiry:30

Implied Vol:25%

Trading Tips

Higher volatility increases option premiums for both calls and puts

Time decay accelerates as expiration approaches, especially for ATM options

Delta approximates the probability of finishing in-the-money

Consider bid-ask spreads and liquidity in real trading scenarios

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Understanding Options Trading

Master the fundamentals of options contracts and advanced Greeks analysis

Options Basics

Call Options: Right to buy at strike price. Profit when stock rises above strike + premium.

Put Options: Right to sell at strike price. Profit when stock falls below strike - premium.

Options expire worthless if not in-the-money at expiration.

Black-Scholes Model

Mathematical model for pricing European-style options using five key inputs.

• Current stock price
• Strike price
• Time to expiration
• Risk-free interest rate
• Implied volatility

Volatility Impact

Higher volatility increases option premiums for both calls and puts.

Vega Risk: Options lose value when implied volatility decreases, even if the stock moves favorably.

Volatility crush often occurs after earnings announcements.

The Greeks Explained

Delta

Rate of change in option price for $1 move in underlying stock.

• Call delta: 0 to 1
• Put delta: -1 to 0
• ATM options ≈ ±0.50

Gamma

Rate of change in delta for $1 move in underlying stock.

• Highest for ATM options
• Increases as expiration nears
• Always positive

Theta

Time decay - daily loss in option value due to passage of time.

• Always negative for long positions
• Accelerates near expiration
• Higher for ATM options

Vega

Change in option price for 1% change in implied volatility.

• Always positive
• Higher for ATM options
• Decreases as expiration nears

Rho

Change in option price for 1% change in interest rates.

• Calls: positive rho
• Puts: negative rho
• More significant for longer-term options

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Combined Impact

All Greeks work together to determine option price changes and risk exposure.