The kurtosis of a random variable X is defined as 

Given data x₁, x₂,...,x_n an estimator for kurtosis is 

where x̄ and s̅ are empirical mean and standard deviation. The kurtosis of the normal distribution is 3, cf. Calculate the empirical kurtosis of the log returns (log S_i+1/S_i), for 3 stock equities of your choice using daily prices over the last 2 years.

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kurtosis = E((X-μx))/std.