Table 15-1 The Following Data Consists of a Matrix of Transition Probabilities

Multiple Choice

Table 15-1
The following data consists of a matrix of transition probabilities (P) of three competing companies, and the initial market share π(0) . Assume that each state represents a company (Company 1, Company 2, Company 3, respectively) and the transition probabilities represent changes from one month to the next.
P = π(0) = (0.3, 0.6, 0.1)
-Using the data in Table 15-1, determine Company 1's estimated market share in the next period.

A) 0.10
B) 0.20
C) 0.42
D) 0.47
E) None of the above