Stock brokers assign probabilities to stock prices. Suppose that for a stock that has increased in value in the last six hours has a 0.7 probability that it will increase in the next six hours. A stock that has decreased in the last six hours has a 0.2 probability that it will increase in the next six hours. This model ignores a stock price that remains constant, as it is rare. • Construct a Markov matrix for the given probabilities. • Ascertain the probability that a stock which decreased in value in the last six hours will decrease again in twelve hours. • Ascertain the eigenvalues of the matrix you constructed.
Stock brokers assign probabilities to stock prices. Suppose that for a stock that has increased in value in the last six hours has a 0.7 probability that it will increase in the next six hours. A stock that has decreased in the last six hours has a 0.2 probability that it will increase in the next six hours. This model ignores a stock price that remains constant, as it is rare. • Construct a Markov matrix for the given probabilities. • Ascertain the probability that a stock which decreased in value in the last six hours will decrease again in twelve hours. • Ascertain the eigenvalues of the matrix you constructed.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 12EQ:
12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...
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