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What does the EXP function do? In Microsoft Excel, an EXP function is a Math and Trigonometry function, and its purpose is to return e raised power to the power of a given number.
Every single function in dlib is documented in detail. If you obviously haven't read the documentation your issue will be closed. If you aren't reporting a bug or problem with dlib then delete this ...
V1(m,:)=exp(-r*dt)*(p*V2(m+1,1)+(1-p)*V2(m,1)); % V1: the option value at the kth step, %V2: the option value at the (k+1)th step (previous step ...