OPCIONARIO Options Encyclopedia
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Rho

Sensitivity to interest rates

RangePositive for calls, negative for puts
FormulaΡ = ∂V / ∂r
Importance

Rho measures how much an option price changes for every one-percentage-point move in the risk-free interest rate. It is the Greek most often ignored, and that is usually justified — until it is not.

Direction of the Effect

Rising rates increase call values and decrease put values. The intuition comes from the cost of carry: owning a call rather than the stock lets you keep the cash and earn interest on it, so that option becomes more valuable when interest is worth more. The put works in reverse.

When It Actually Matters

For 30-to-45-day options, rho is negligible next to delta, theta and vega. It becomes relevant in LEAPS and any long-dated structure, where a rate move compounds over years of remaining life. In a rate-hiking cycle, the rho on a two-year option is no longer the forgotten Greek.

Rho and Put-Call Parity

Rho is what makes put-call parity depend on rates: the synthetic equivalence between a stock position and an options combination only holds once the cost of financing is priced in. This is also why the forward price of an index future sits above spot by roughly interest minus dividends.

Practical Takeaway

You rarely need to trade rho, but you do need to recognise when it is quietly working against you: buying long-dated calls into a hiking cycle gets a small tailwind, buying long-dated puts gets a small headwind, and neither is large enough to build a thesis on.