How does interest rate affect option prices?

Higher rates: increase call prices (carry cost of holding stock), decrease put prices. Rho_call = K x T x exp(-rT) x N(d2) / 100. Rho_put = -K x T x exp(-rT) x N(-d2) / 100.

When does rho matter most?

Rho is most significant for long-dated LEAPS options (1-2+ year expiry). For short-term options (30-90 days), rho impact is small compared to delta, gamma, and theta.

Rho Interest Rate Sensitivity Calculator

Calculate option rho - sensitivity of option price to change in risk-free interest rate. Rho matters more for long-dated options and affects calls and puts oppositely.

Principal ($)

Annual Rate (%)

Years

Compounding / Year

$ Finance Disclaimer: These calculators are for educational and illustrative purposes only. Results do not constitute financial advice. Consult a licensed financial advisor before making investment or borrowing decisions.

How to Use

Enter the values for the scenario you are assessing. Calculate option rho - sensitivity of option price to change in risk-free interest rate. Rho matters more for long-dated options and affects calls and puts oppositely. Use the option rho result to inform your calculation.

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Frequently Asked Questions

How does interest rate affect option prices?

When does rho matter most?