Rho(ρ)
Rho measures how much an option's premium changes for a 1% change in the risk-free interest rate — the smallest Greek for short-dated options.
ρ = ∂(Option Price) / ∂(Interest Rate) — ₹ per 1% rate changeWhat Rho Means
Rho measures how sensitive an option's price is to changes in the risk-free interest rate. A call option with a Rho of 5 gains about ₹5 if rates rise by one percentage point; puts have negative Rho and lose value as rates rise. The intuition: higher rates raise the cost of carry, which slightly favours calls over puts.
Of all the Greeks, Rho is usually the smallest in magnitude for the options most retail traders hold.
Why Rho Is Often Ignored
Rho only becomes meaningful for long-dated options, where there is enough time for interest accrual to matter. For weekly or even monthly options, a quarter-point RBI move barely moves the premium — Delta, Gamma, Theta and Vega dominate the P&L by orders of magnitude.
Rho in the Indian Market
Because the most-traded Nifty and BankNifty contracts are weekly Thursday expiries, Rho is practically negligible for the bulk of Indian options activity. RBI rate decisions move the market far more through their effect on India VIX and IV (a Vega event) than through Rho. It matters mainly for long-dated index LEAPS-style positions, which see little volume on NSE.
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