TL;DR
The sensitivity of option price to the risk-free interest rate: \( \rho = \frac{\partial V}{\partial r} \). Positive for calls (higher rates increase call value) and negative for puts.
Rho (Greek)
The sensitivity of option price to the risk-free interest rate: \( \rho = \frac{\partial V}{\partial r} \). Positive for calls (higher rates increase call value) and negative for puts.
Why it matters for interviews
While often considered the least important Greek for equity options, rho becomes significant for long-dated options, interest rate derivatives, and in high-rate environments. It appears in interview discussions of Greek sensitivities.
Definition and Mathematical Foundation
The sensitivity of option price to the risk-free interest rate: \( \rho = \frac{\partial V}{\partial r} \). Positive for calls (higher rates increase call value) and negative for puts.
Application in Quantitative Finance
While often considered the least important Greek for equity options, rho becomes significant for long-dated options, interest rate derivatives, and in high-rate environments. It appears in interview discussions of Greek sensitivities.
Related Terms
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