Question: 3 Stochastic Processes Problem 3.1. The quantity Xt follows an Arithmetic Brownian motion with drift 3 and volatility 2. Suppose Xo = 100. What is

 3 Stochastic Processes Problem 3.1. The quantity Xt follows an Arithmetic

3 Stochastic Processes Problem 3.1. The quantity Xt follows an Arithmetic Brownian motion with drift 3 and volatility 2. Suppose Xo = 100. What is the probability that X1 is at least 100? Recall that for an Arithmetic Brownian motion with drift u and volatility o, the change in time interval T is normally distributed with mean ut and variance ot. 3 Stochastic Processes Problem 3.1. The quantity Xt follows an Arithmetic Brownian motion with drift 3 and volatility 2. Suppose Xo = 100. What is the probability that X1 is at least 100? Recall that for an Arithmetic Brownian motion with drift u and volatility o, the change in time interval T is normally distributed with mean ut and variance ot

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