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Rho

Rho, is the Greek that explains how sensitive the options is to changes in the risk free interest rate. If the options are seen as an investment in time, the interest rate is decisive in determining how expensive time is. Instead of buying options capital can always be banked. Rho explains how much the option price changes when the risk free interest rate is changed one percent.

Usually Rho borders on insignificance, with real meaning only for very long contracts. In other words, large changes in the interest rate are needed for Rho to have any particular influence in the option’s price – changes that are very rare in the macro economic climate of today.

For example, a call option with a Rho of 0.14 will rise 0.14 units if the interest rate goes up one percent. Even if it is theoretically a useful measure, Rho has a relatively small impact for the option premium – especially in comparison with its more powerful cousins.


Valuation of options
Rho

Five useful sensitivity measures for options

Delta
(δ) – explains how sensitive the option is to movements in the in the underlying stock price.

Gamma (γ) – explains the sensitivity in an option’s delta value.

Theta (θ) – explains how the option value changes with the time.

Epsilon (ξ) or vega – explains how much the volatility affects the option value.

Rho (ρ) – explains how sensitive the option value is to changes in the risk free interest rate.
Basic strategies with options

Advanced strategies

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