Problem 3.1. The quantity X, follows an Arithmetic Brownian motion with drift 3 and volatility 2. Suppose X, = 100. What is the probability that X1 is at least 100? Recall that for an Arithmetic Brownian motion with drift µ and volatility o, the change in time interval

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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Stochastic Processes
Problem 3.1. The quantity X; follows an Arithmetic Brownian motion with drift 3 and
volatility 2. Suppose Xo = 100. What is the probability that X is at least 100? Recall that
for an Arithmetic Brownian motion with drift µ and volatility o, the change in time interval
T is normally distributed with mean uT and variance o?r.
Transcribed Image Text:Stochastic Processes Problem 3.1. The quantity X; follows an Arithmetic Brownian motion with drift 3 and volatility 2. Suppose Xo = 100. What is the probability that X is at least 100? Recall that for an Arithmetic Brownian motion with drift µ and volatility o, the change in time interval T is normally distributed with mean uT and variance o?r.
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