SABR Implied Volatility
Calculate implied volatility using the SABR (Stochastic Alpha Beta Rho) model. SABR is the industry standard for modeling volatility smiles in interest rate and FX markets. Returns the Black-equivalent implied volatility for a given strike, forward, and SABR parameters (alpha, beta, rho, nu). [Tier: PRO, Credits: 5]
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Body
Forward price of the underlying
x >= 0100
Option strike price
x >= 0102
Time to expiry in years
x >= 01
SABR alpha parameter (overall volatility level)
x >= 00.25
SABR beta parameter (0=normal, 1=lognormal, 0.5=CIR). Controls backbone shape
0 <= x <= 10.5
SABR rho parameter (correlation between forward and volatility). Controls skew
-1 <= x <= 1-0.2
SABR nu parameter (volatility of volatility). Controls smile curvature
x >= 00.3
