First, I don't have the correct lingo for this topic, so I can't really find a 
solution for my problem. And 
maybe I formulate it incorrectly, so bear with me.

How would I calculate a 'constant transition matrix' if I know a given value at 
a given time? 

Let's say I know that my value is 54,0 at t=12. How do I get the initial chain 
value?

t       markov.growth
00      00.0
01      06.3 <- My value of interest...
02      12.1
03      17.7
04      22.8
05      27.7
06      32.2
07      36.4
08      40.4
09      44.2
10      47.7
11      50.9
12      54.0 <- These two is what I know...
13      56.9
14      59.6
15      62.1

I can't find out how to do this kind of 'reversed' calulation. Maybe there is 
some library that can do this 
for me? I know that there are a lot of packages covering different aspects of 
Markov Models. But my 
ignorance prevents me from finding out which one.

TIA

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