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Suppose that current stock price is 50 $. Its annualized volatility is 20% and annualized return 10 % i.e. we assume that the stock price

Suppose that current stock price is 50 $. Its annualized volatility is 20% and annualized return 10 % i.e. we assume that the stock price follows dX t = 0.1 X t dt+0.2 X t dW t . Write the probability density function for the stock in 1 year. What is the mean and standard deviation of the terminal stock price? (standard deviation of price, not of return)

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