What is put-call parity and why does it matter?

Put-call parity is a financial principle that defines the relationship between the prices of European call and put options with the same strike and expiration. It matters because deviations from this relationship can signal potential arbitrage opportunities where traders can profit from price discrepancies without taking on significant risk.

Can this calculator be used for American options?

No, the put-call parity calculator is designed specifically for European-style options, which can only be exercised at expiration. American options, which can be exercised any time before expiration, require different pricing models.

What inputs are needed to use the calculator effectively?

You need the current underlying asset price, strike prices for both call and put options, time until expiration (in years or days), and the risk-free interest rate. These variables must correspond to the same option series for accurate results.

How do I interpret the arbitrage result?

The calculator compares the theoretical portfolio cost against actual market value. If the result shows a significant deviation from zero, it may indicate the options are mispriced relative to each other, suggesting a potential arbitrage situation worth further investigation.

Investing & MarketsFree Tool

Put-Call Parity Calculator

Provided byOmni Calculatoromnicalculator.com

Our put-call parity calculator helps you to determine investment value by understanding arbitrage opportunities.

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About this tool

What Put-Call Parity Calculator does

The Put-Call Parity Calculator helps users determine if arbitrage opportunities exist in options markets by comparing theoretical and actual option prices. By inputting the underlying asset price, strike prices, time to expiration, and risk-free interest rate, the tool calculates the relationship between European-style call and put options. Users receive a clear determination of whether the market pricing aligns with theoretical expectations, allowing them to identify potential mispricings. The calculator translates complex put-call parity formulas into an accessible format for investors and traders seeking to understand options pricing relationships.

Step by step

How to use the Omni Calculator Put-Call Parity Calculator

1
Enter the current price of the underlying asset
2
Input the strike price for the call and put options
3
Specify the time until option expiration
4
Provide the risk-free interest rate
5
Review the calculated parity value and arbitrage assessment

Is it right for you

Best for

Investors and traders who need to quickly assess whether options are fairly priced and identify potential arbitrage opportunities in European-style options markets.

Limitations

Designed for European-style options, not American-style
Relies on accurate input of risk-free interest rate
Assumes no transaction costs or dividends

Questions

Put-Call Parity Calculator FAQ

What is put-call parity and why does it matter?: Put-call parity is a financial principle that defines the relationship between the prices of European call and put options with the same strike and expiration. It matters because deviations from this relationship can signal potential arbitrage opportunities where traders can profit from price discrepancies without taking on significant risk.
Can this calculator be used for American options?: No, the put-call parity calculator is designed specifically for European-style options, which can only be exercised at expiration. American options, which can be exercised any time before expiration, require different pricing models.
What inputs are needed to use the calculator effectively?: You need the current underlying asset price, strike prices for both call and put options, time until expiration (in years or days), and the risk-free interest rate. These variables must correspond to the same option series for accurate results.
How do I interpret the arbitrage result?: The calculator compares the theoretical portfolio cost against actual market value. If the result shows a significant deviation from zero, it may indicate the options are mispriced relative to each other, suggesting a potential arbitrage situation worth further investigation.

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