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What Is the Role of the ‘Risk-Free Rate’ in the Black-Scholes Model and How Is It Determined for Crypto?

The risk-free rate represents the theoretical return on an investment with zero risk over the option's life. In Black-Scholes, it is used to discount the expected future payoff of the option to its present value.

For crypto, determining a true risk-free rate is challenging. Proxies like the US Treasury bill yield or rates from highly-trusted DeFi lending protocols are often used, though they introduce their own market and credit risks.

Why Is the Choice of the ‘Risk-Free Rate’ a Challenge When Calculating IV for Crypto Options?
Why Do Higher Interest Rates Decrease the Value of Put Options?
What Is the Significance of the Risk-Free Interest Rate in the Black-Scholes Model?
How Does an Increase in the Risk-Free Rate Affect the Price of a Call Option According to Black-Scholes?