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Studying a financial model from a third party we see:

36month - 1.2 multipler 48month - 1.3333 multipler 60month - 1.5 multipler 

I am trying to determine if there is a relationship between x (month) and y (multiplier), which would allow us to determine the multipler at say 52 months etc.. I've tried my algerba but I cant see anything as simple, possibly something to the power or log? Whilst the answer would be great I'd also like to know the most pragmatic steps to approach this too.

Note: There might not be a correlation, they might be set manually

Thinking out loud, given the three points on a graph this will represent part of a curve.. now where

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    It's not linear, that's for sure, and not logarithm either. What you're looking for could be a very flat exponential function. In fact, there probably exists several different "good" choices and all of them would probably be equally bad in predicting other values. It would require more datapoints to make an accurate predictor.2012-01-30

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