from numpy import array, dot
from numpy.linalg import matrix_power

P = array( [ 1.081 , 1.076 , 0.327 , 64.516] )

M = array( [
    [0.93,0.05,0.01,0.01] ,
    [0.07,0.87,0.03,0.03] ,
    [0.02,0.04,0.92,0.02] ,
    [0,0,0,1]
    ] )

for n in range(1,201):
    print( dot( P , matrix_power(M,n) ) )