Options Probability Calculator

Calculate ITM/OTM probability, price target probability, and risk-adjusted returns for options trading

Options Probability Calculator

Input Parameters

Probability Results

ITM Probability
0.00%
OTM Probability
0.00%
ATM Probability
0.00%
Delta Probability
0.00%

Probability Distribution Chart

馃搳 How to Interpret Probability Distribution Chart

馃幆 Chart Elements
  • Blue Curve: Price probability distribution curve showing probability density at different price levels
  • Red Dot: Current stock price position
  • Blue Dot: Option strike price position
馃搱 Result Parameters
  • ITM Probability: Probability of option expiring with intrinsic value
  • OTM Probability: Probability of option expiring worthless
  • ATM Probability: Probability of price within 卤1% of strike price
  • Delta Probability: Sensitivity of option price to underlying asset price changes
馃挕 Trading Recommendations

High Probability (>70%): Suitable for conservative strategies, lower risk but limited returns
Medium Probability (30-70%): Balanced risk and reward, suitable for most traders
Low Probability (<30%): High risk, high reward, requires strict risk management

Price Target Parameters

Target Probability Results

Target Probability
0.00%
Expected Move
$0.00
Standard Deviation
$0.00
Z-Score
0.00

馃搳 Price Target Probability Interpretation

馃幆 Result Parameters
  • Target Probability: Probability of price reaching the target level
  • Expected Move: Expected price change based on current trend
  • Standard Deviation: Statistical measure of price volatility
  • Z-Score: How far the target price deviates from expected
馃搱 Trading Applications
  • High Probability (>70%): Suitable for setting profit targets
  • Medium Probability (30-70%): Balanced risk and reward
  • Low Probability (<30%): High risk, high reward opportunities
  • Z-Score Absolute Value: >2 indicates extreme conditions
馃挕 Practical Tips

Profit Targets: Choose prices with 30-50% probability for conservative profit targets
Stop Loss: Choose prices with 10-20% probability for stop loss levels
Time Frame: Shorter time frames typically have lower probabilities but higher returns
Volatility Impact: High volatility increases probability of reaching extreme prices

Strategy Parameters

Strategy Results

Profit Probability
0.00%
Loss Probability
0.00%
Expected Value
$0.00
Risk/Reward Ratio
0.00
Probability of Success
0.00%
Confidence Interval
$0.00 - $0.00
Kelly Criterion
0.00%

馃搳 Strategy Probability Analysis Interpretation

馃幆 Key Metrics
  • Profit Probability: Probability of strategy generating positive returns
  • Loss Probability: Probability of strategy generating negative returns
  • Expected Value: Long-term average return expectation
  • Risk/Reward Ratio: Ratio of maximum profit to maximum loss
  • Success Probability: Probability of achieving profit targets
  • Confidence Interval: Expected range of price movements
  • Kelly Criterion: Optimal position size recommendation
馃搱 Strategy Evaluation Criteria
  • Expected Value > 0: Strategy has positive expected value
  • Risk/Reward Ratio > 2: Good risk-reward ratio
  • Success Probability > 60%: High success probability
  • Kelly Criterion > 0: Suitable for increasing position size
  • Narrow Confidence Interval: More reliable predictions
馃挕 Strategy Optimization Tips
High Profit Probability + Low Expected Value: Consider adjusting profit/loss targets
Low Risk/Reward Ratio: Look for better entry points
High Kelly Criterion: Can increase position size appropriately
Wide Confidence Interval: Set more conservative targets
Positive Expected Value Strategy: Profitable in the long run
High Success Probability: Suitable for conservative investors
Low Success Probability: Suitable for aggressive investors
Narrow Confidence Interval: More accurate predictions

Advanced Analysis Parameters

Advanced Analysis Results

Simulation Results
Ready
Worst Case Scenario
$0.00
Best Case Scenario
$0.00
Value at Risk (95%)
$0.00
Expected Shortfall
$0.00
Sharpe Ratio
0.00

Advanced Analysis Chart

馃搳 How to Interpret Advanced Analysis Chart

馃幆 Chart Elements
  • Blue Histogram: Option payoff distribution showing frequency at different payoff levels
  • Red Vertical Line: Average payoff position
  • Yellow Dashed Line: 95% Value at Risk (VaR) position
馃搱 Result Parameters
  • Worst Case: Minimum payoff in simulation
  • Best Case: Maximum payoff in simulation
  • VaR (95%): Maximum loss at 95% confidence level
  • Expected Shortfall: Average loss beyond VaR
  • Sharpe Ratio: Risk-adjusted return metric
馃攳 Analysis Types
Monte Carlo Simulation: Predicts option payoff distribution through random simulation
Sensitivity Analysis: Analyzes impact of volatility and price changes on returns
Scenario Analysis: Return predictions under different market scenarios
Stress Testing: Risk assessment under extreme market conditions
Sharpe Ratio > 1: Good risk-adjusted returns
Low VaR: Lower downside risk
Concentrated Distribution: More reliable payoff predictions
Dispersed Distribution: Higher result uncertainty

Understanding Options Probability

What is ITM/OTM Probability?

ITM (In-The-Money) probability is the likelihood that an option will expire with intrinsic value. OTM (Out-of-The-Money) probability is the chance it expires worthless. These probabilities are calculated using the Black-Scholes model and normal distribution.

Delta and Probability

Delta can be interpreted as a rough probability estimate. For call options, Delta approximates the probability of finishing ITM. For put options, the absolute value of Delta approximates the probability of finishing ITM.

Price Target Probability

Price target probability calculates the likelihood of the underlying asset reaching a specific price level within a given time frame. This is useful for setting profit targets and stop-loss levels.

Strategy Probability Analysis

Strategy probability analysis evaluates the likelihood of profit or loss for complex options strategies. It considers multiple breakeven points and the probability of the underlying price reaching each level.

Risk-Adjusted Probability

Risk-adjusted probability considers both the probability of success and the potential reward/risk ratio. This helps traders make more informed decisions about position sizing and risk management.

Using Probability in Trading

Probability analysis helps traders assess the likelihood of different outcomes, set realistic expectations, and manage risk. High probability trades may have lower reward potential, while low probability trades offer higher potential returns.

Frequently Asked Questions

How accurate are probability calculations?

Probability calculations are based on the Black-Scholes model and assume log-normal distribution of returns. While not perfect, they provide a good estimate for most market conditions. Actual results may vary due to market inefficiencies and extreme events.

What's the difference between Delta and probability?

Delta is the rate of change of option price with respect to underlying price. While Delta approximates probability, it's not exactly the same. Delta changes as the underlying price moves, while probability calculations are more precise.

How do I use probability for position sizing?

Use probability to determine appropriate position sizes. Lower probability trades should typically have smaller positions, while higher probability trades can justify larger positions. Always consider your risk tolerance and overall portfolio exposure.

What is the expected value in options trading?

Expected value is the average outcome if you repeat a trade many times. It's calculated by multiplying each possible outcome by its probability and summing the results. Positive expected value trades are generally favorable over time.

How does volatility affect probability?

Higher volatility increases the probability of extreme price movements, making both ITM and OTM outcomes more likely for different strike prices. Lower volatility tends to keep prices closer to current levels.

Should I only trade high probability options?

Not necessarily. While high probability trades may seem safer, they often have lower reward potential. A balanced approach considers both probability and potential reward. Low probability trades can be profitable if the reward justifies the risk.