Calculate normal (Bachelier) implied volatility using the SABR model. Normal volatility is used in normal (absolute) option pricing models, common in negative interest rate environments and for spread options. Converts SABR parameters to normal volatility for Bachelier option pricing.
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Forward price of the underlying
-10 <= x <= 100.02
Option strike price (can be negative for rates)
-10 <= x <= 100.015
Time to expiry in years
x >= 02
SABR alpha parameter
x >= 00.02
SABR beta parameter (often 0 for normal model)
0 <= x <= 10
SABR rho parameter (correlation)
-1 <= x <= 1-0.3
SABR nu parameter (vol of vol)
x >= 00.4