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Adaptive Gradient Descent Methods for Computing Implied Volatility

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 نشر من قبل Yixiao Lu
 تاريخ النشر 2021
  مجال البحث مالية
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In this paper, a new numerical method based on adaptive gradient descent optimizers is provided for computing the implied volatility from the Black-Scholes (B-S) option pricing model. It is shown that the new method is more accurate than the close form approximation. Compared with the Newton-Raphson method, the new method obtains a reliable rate of convergence and tends to be less sensitive to the beginning point.



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