Two new rational approximation formulas for Bachelier implied volatility achieve near machine accuracy without iteration by using a simpler near-the-money variable.
Numerical Approximation of the Implied Volatility under Arithmetic Brownian Motion.Applied Mathematical Finance2009,16, 261–268
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Explicit Rational Formulae for Bachelier (Normal) Implied Volatility
Two new rational approximation formulas for Bachelier implied volatility achieve near machine accuracy without iteration by using a simpler near-the-money variable.