Call Put Option Calculator Excel Download

This calculator helps you determine the price of call and put options using the Black-Scholes model. You can download a free Excel template to perform these calculations offline or integrate them into your financial analysis workflow.

Introduction

Options are financial derivatives that give the buyer the right, but not the obligation, to buy (call option) or sell (put option) an underlying asset at a specified price (strike price) on or before a certain date (expiration date).

The Black-Scholes model is the most widely used mathematical model for pricing options. It calculates the theoretical value of European-style options, which can only be exercised at expiration.

Note: This calculator assumes European options and does not account for dividends or transaction costs. For American options or more complex scenarios, additional factors should be considered.

How to Use the Calculator

To use the call put option calculator:

Enter the current stock price (S)
Enter the strike price (K)
Enter the time to expiration in years (T)
Enter the risk-free interest rate (r)
Enter the volatility (σ)
Select whether you want to calculate a call or put option
Click "Calculate" to see the option price

The calculator will display the option price and show a chart of the option value over time.

Formulas Used

The Black-Scholes formula for call options is:

C = S * N(d1) - K * e^(-rT) * N(d2) where: d1 = [ln(S/K) + (r + σ²/2)T] / (σ√T) d2 = d1 - σ√T N(x) is the cumulative standard normal distribution

The formula for put options is:

P = K * e^(-rT) * N(-d2) - S * N(-d1)

Where:

C = Call option price
P = Put option price
S = Current stock price
K = Strike price
T = Time to expiration in years
r = Risk-free interest rate
σ = Volatility (standard deviation of stock returns)

Worked Examples

Example 1: Call Option Calculation

Suppose:

Current stock price (S) = $50
Strike price (K) = $55
Time to expiration (T) = 0.5 years
Risk-free interest rate (r) = 0.05 (5%)
Volatility (σ) = 0.3 (30%)

Using the Black-Scholes formula, the call option price would be approximately $3.24.

Example 2: Put Option Calculation

Using the same parameters but calculating a put option, the price would be approximately $6.48.

Notice how the put option price is higher than the call option price in this scenario. This is because the stock price is below the strike price, making put options more valuable.

Download Excel Template

You can download a free Excel template that implements the Black-Scholes model for both call and put options. The template includes:

Input cells for all required parameters
Formulas that automatically calculate option prices
Data validation to ensure proper input
Visualization of option prices over time

Download Excel Template

FAQ

What is the difference between a call and put option?: A call option gives the buyer the right to buy an asset at a specified price, while a put option gives the right to sell the asset at that price.
What are the assumptions of the Black-Scholes model?: The model assumes no dividends, continuous trading, no transaction costs, and that prices follow a geometric Brownian motion.
Can I use this calculator for American options?: No, this calculator is specifically for European options. American options can be exercised early, which requires a different pricing model.
What is implied volatility?: Implied volatility is the market's expectation of future volatility based on option prices. It's often used as an input to the Black-Scholes model.
How accurate are option prices calculated with this model?: The Black-Scholes model provides a good approximation for European options, but real-world option prices may differ due to market frictions and other factors.