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What Is the Relationship between Interest Rates and Implied Volatility?

In the Black-Scholes model, higher risk-free interest rates slightly increase the price of a call option and slightly decrease the price of a put option. However, the direct relationship with implied volatility is complex.

High interest rates can sometimes signal economic stability, potentially lowering general market IV, but the effect is often minor compared to other factors like price momentum.

Why Do Higher Interest Rates Decrease the Value of Put Options?
How Do Interest Rates Affect the Value of a Call Option (Rho)?
What Is the Relationship between Interest Rates and Option Pricing?
Does the Presence of High Interest Rates Increase or Decrease the Value of the Early Exercise Feature?