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The gradient of a smooth function is
The Newton-Raphson method
What is a Hessian?
The bisection method can be used for solving f(x)=0 for a unique solution of x, when
When calculating the implied volatility from an option price we use the bisection method and know initially that the volatility is somewhere between 1% and 100%. How many iterations do we need in order to determine the implied volatility with accuracy of 0.1%?
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