# Starting at some fixed time, let S ( n ) denote the price

Starting at some fixed time, let S ( n ) denote the price of a certain security at the end of n additional weeks, n ≥ 1. A popular model for the evolution of these prices assumes that the price ratios S ( n )/ S ( n − 1 ) for n ≥ 1 are independent and identically distributed (i.i.d.) lognormal random variables. Assuming this model, with lognor- mal parameters μ = . 0165 and σ = . 0730 , what is the probability that the price of the security increases over each of the next two weeks; View complete question » Starting at some fixed time, let S ( n ) denote the price of a certain security at the end of n additional weeks, n ≥ 1 . A popu- lar model for the evolution of these prices assumes that the price ratios S ( n )/ S ( n − 1 ) for n ≥ 1 are independent and identically distributed (i.i.d.) lognormal random variables. Assuming this model, with lognor- mal parameters μ = . 0165 and σ = . 0730 , what is the probability that the price of the security increases over each of the next two weeks; the price at the end of two weeks is higher than it is today?

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