109 years? Even if I consider the time period from 2009 until the first 109 years you would have seen so much of deflation in the price that it'll be sky rocketing until a point where using bitcoin would have already become difficult due high transaction fees. On the other hand if you reduce the span of 109 years you stand at a risk of snatching someone's valuables merely based on the fact that they did not do any activity. I don't think both these solutions are optimal.
I've proposed additional solutions in the replies. Should I edit the original post to make it easier to discuss?