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hi everyone welcome to a new video today well see how to use the reading lipsenburger formula to derive the risk Neutron density function from European Corruptions um under the has to model with stochastic volatility of course and we will Implement as usual the python code together so first thing to do is to import the the needed libraries and packages so we will just have two which are numpy SNP and then to to plot the density function at the end of the video we use matplotlibrary dot pipelot as PLT okay now we set the he has to model parameters which well use uh later on to to try and test our own functions and okay I just write essence has some models parameters okay we have some of them so first we have the spot price for less than 100 then we have the stock price under the 10th so in the money oh sorry out of the money because as we have consider European collections then we have the maturity one year then we have the risky rate for instance five percent the dividend yield whic