Analyze SABR smile dynamics under forward price movements. Calculates sticky-strike volatility (vol remains constant at each strike) and sticky-delta volatility (vol moves with the option’s delta) for a shifted forward. Essential for hedging volatility exposure and understanding how the smile evolves with underlying price changes.
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Current forward price of the underlying
x >= 0100
Time to expiry in years
x >= 01
SABR alpha parameter
x >= 00.25
SABR beta parameter
0 <= x <= 10.5
SABR rho parameter
-1 <= x <= 1-0.2
SABR nu parameter
x >= 00.3
Strike price for volatility evaluation
x >= 0100
Change in forward price (e.g., 0.01 for +1 unit, -0.01 for -1 unit)
1