Call and Put Option Calculator

Price calls and puts with key Greeks. Compare payoff, breakeven, premium, cost, and scenario profit. Export clear option results for faster option reviews today.

Option Inputs

Example Data Table

Option Stock Strike Days Volatility Rate Sample Note
Call 100 105 90 25% 5% Out of the money call
Put 100 95 60 30% 4.5% Out of the money put
Call 120 110 180 22% 5.25% In the money call

Formula Used

The calculator uses the Black Scholes model with continuous dividend yield.

Call price: C = S e-qTN(d1) - K e-rTN(d2)

Put price: P = K e-rTN(-d2) - S e-qTN(-d1)

d1: [ln(S / K) + (r - q + σ² / 2)T] / [σ√T]

d2: d1 - σ√T

S is stock price. K is strike price. T is time in years. r is risk free rate. q is dividend yield. σ is annual volatility. N is the standard normal cumulative distribution.

How To Use This Calculator

  1. Select call or put.
  2. Choose long or short position.
  3. Enter current stock price and strike price.
  4. Add time to expiration and select the time unit.
  5. Enter risk free rate, volatility, and dividend yield.
  6. Add a market premium when you want payoff based on a quoted price.
  7. Enter contracts, shares per contract, scenario price, and commission.
  8. Press the calculate button and review the result above the form.
  9. Use CSV or PDF buttons to save the result.

Why Use This Calculator

Options can look simple at first. A call gains value when the underlying price rises. A put gains value when the underlying price falls. Real pricing is more detailed. Time, volatility, rates, dividends, and strike distance all change the fair value. This calculator keeps those moving parts visible.

It uses the Black Scholes model for European style contracts. The model estimates a theoretical premium from market inputs. It also reports Greeks. Delta shows directional exposure. Gamma shows how fast delta may change. Theta estimates daily time decay. Vega estimates sensitivity to volatility. Rho estimates rate sensitivity.

Reading The Results

The theoretical value is not a trading promise. It is a model estimate. Market quotes may differ because of liquidity, spreads, earnings risk, early exercise features, and changing volatility. The market premium field lets you compare a quoted price against the model result. The difference can highlight overpricing or underpricing, but it is not a standalone signal.

Breakeven is based on option type and paid premium. A long call breaks even above strike plus premium. A long put breaks even below strike minus premium. The scenario profit result uses your expected expiration price, contract size, contract count, position side, and commissions. This makes the output practical for planning.

Better Planning

Use realistic volatility inputs. Implied volatility from the current option chain is usually better than a random guess. Match the risk free rate and dividend yield to the contract horizon when possible. For short dated options, small input changes can move the price sharply.

The calculator is useful for education, quick checks, and trade preparation. It can compare calls and puts in one clean layout. Export the result when you need a record. Review payoff, Greeks, and breakeven together before making a decision. Options involve risk, so use position sizing carefully.

Important Limits

The formula assumes continuous trading and stable inputs. It does not predict gaps. It does not include taxes. It does not replace professional advice. American style contracts can be exercised early, so their market price may not match exactly. Use the output as a structured estimate. Then compare it with real bid and ask prices before acting. Record assumptions carefully for every saved calculation.

FAQs

What is a call option?

A call option gives the buyer the right to buy the underlying asset at the strike price before or at expiration, depending on contract style.

What is a put option?

A put option gives the buyer the right to sell the underlying asset at the strike price before or at expiration, depending on contract style.

Which pricing model is used?

This calculator uses the Black Scholes model with dividend yield. It is commonly used for European style option valuation.

What does volatility mean here?

Volatility is the annual expected movement of the underlying asset. Higher volatility usually raises both call and put theoretical values.

Why is market premium optional?

The model can estimate fair value without it. Add market premium when you want breakeven and scenario profit based on a quoted option price.

What is theta?

Theta estimates daily time decay. It shows how much option value may change each day when other inputs remain unchanged.

Can this calculate short option risk?

Yes. Select short as the position side. The calculator then estimates short payoff, profit, breakeven, and maximum risk where possible.

Is the result investment advice?

No. The result is a model estimate for education and planning. Real trades require liquidity checks, risk controls, and personal judgment.

Related Calculators

Paver Sand Bedding Calculator (depth-based)Paver Edge Restraint Length & Cost CalculatorPaver Sealer Quantity & Cost CalculatorExcavation Hauling Loads Calculator (truck loads)Soil Disposal Fee CalculatorSite Leveling Cost CalculatorCompaction Passes Time & Cost CalculatorPlate Compactor Rental Cost CalculatorGravel Volume Calculator (yards/tons)Gravel Weight Calculator (by material type)

Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.