How Does an Increase in the Risk-Free Rate Affect the Price of a Call Option According to Black-Scholes?
According to the Black-Scholes model, an increase in the risk-free interest rate will increase the theoretical price of a Call option. This is because a higher risk-free rate increases the present value of the strike price that the Call holder will have to pay in the future.
Conversely, a higher rate decreases the price of a Put option.