Price of the Underlying Asset

There is a positive correlation between the price of the underlying instrument and a call option, while this correlation is negative in the case of put options. As the price of the underlying asset increases, the price of call options increases and the price of put options decreases.

Exercise Price

There is a negative correlation between the exercise price of an option and call options, while this correlation is positive in the case of put options. As the exercise price increases, the price of call options decreases and that of put options increases.

Days to Maturity

For American options, there is positive correlation between the days to maturity and the prices of both call and put options. As the days to maturity increase, the price of both American call and put options increases. The effect of maturity to European option price may differ for different cases and different contracts.

Volatility

There is a positive correlation between the volatility of the underlying asset and the prices of both call and put options. As the volatility of the underlying asset increases, the price of both call and put options increases.

Market Interest Rate

There is a positive correlation between the interest rate and the prices of call options, while this correlation is negative in the case of put options. As the interest rate increases, the price of call options increases and that of put options decreases.

Dividend

There is a negative correlation between the dividend distributed by the company and the price of call options, while this correlation is positive in the case of put options. As dividends increase, the price of call options decreases and that of put options increases.

Factors Influencing the Option Price