Thursday, April 20, 2023

Why Taylor Series never truncates on Wall Street? Brownian Motion !

Raised way back in 2015....

Question that has baffled the wall street till now .....
Why Taylor Series never truncates on Wall Street?

Taylor Series expansion ,which is the backbone of quantitative finance,especially in derivative's pricing,modelling,structuring. 
Brownian motion is nowhere differentiable with probability 1,but Taylor series expansion holds true iff the underlying function is analytical with probability 1 . So, how far the Taylor series expansion is justified to be applied in Brownian motion for quant finance ?

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