Calculate Lower Bound of Call Option
Calculating the lower bound of a call option is crucial for understanding the minimum potential profit from exercising a call option. It helps in making informed decisions about option trading strategies.
- Enter the stock price, strike price, risk-free rate, volatility, and time to expiration.
- Click the “Calculate” button.
- View the results below the calculator.
The lower bound of a call option is calculated using the Black-Scholes-Merton model. The formula is:
Lower Bound = S * e^(-r * T) * N(d1) - X * e^(-r * T)
Where:
Sis the stock price.Xis the strike price.ris the risk-free rate.Tis the time to expiration.N(d1)is the cumulative distribution function of the standard normal distribution.d1is calculated as (ln(S/X) + (r + 0.5 * sigma^2) * T) / (sigma * sqrt(T)).sigmais the volatility.
| Stock Price | Strike Price | Risk-Free Rate | Volatility | Time to Expiration | Lower Bound |
|---|---|---|---|---|---|
| 100 | 110 | 0.05 | 0.2 | 1 | 70.63 |
| 120 | 130 | 0.03 | 0.15 | 2 | 83.21 |
- Always consider the time value of the option when making trading decisions.
- Understand the impact of volatility on the lower bound calculation.
- Regularly review and update your calculations as market conditions change.
What is the difference between a call option and a put option?
A call option gives the holder the right to buy the underlying asset, while a put option gives the holder the right to sell the underlying asset.
Learn more about call options on Investopedia
Understand options from the U.S. Securities and Exchange Commission