Continued accumulation of risk of some kind of failure over the years is exponential just like the interest is, and can reach 10^-100 as easily.
A space of correct arguments of N words, and space of invalid but superficially correct arguments of N words, differ in size by factor exponential in N, so improbability of correctness in general too can easily reach googol.
That being said, there is genuinely a problem with description length priors and unbounded utilities. Given a valid theory of everything with length L , a fairly small increase in the length can yield a world with enormous invisible, undetectable consequences. E.g. an enormous (3^^^^3 , or BB(11) ) number of secondary worlds where the fundamental constants depend to the temperature of the coldest 1-gram piece of frozen hydrogen in our universe (something global which we may influence, killing all the aliens in those universes). The perversity is that we don't know those worlds exist, and we don't know they don't exist, and the theory where they do exist is not very much longer than simplest known ToE, and predicts exactly identical observations so it can never be disproved.
Robin Hanson wrote, five years ago:
In the comments some people gave counterarguments. For those in a rush, the best ones are Toby Ord's. But I didn't bite any of the counterarguments to the extent that it would be necessary to counter the 10^100. I have some trouble conceiving of what would beat a consistent argument a googol fold.
Things that changed my behavior significantly over the last few years have not been many, but I think I'm facing one of them. Understanding biological immortality was one, it meant 150 000 non-deaths per day. Understanding the posthuman potential was another. Then came the 10^52 potential lives lost in case of X-risk, or if you are conservative and think only biological stuff can have moral lives on it, 10^31. You can argue about which movie you'll watch, which teacher would be best to have, who should you marry. But (if consequentialist) you can't argue your way out of 10^31 or 10^52. You won't find a counteracting force that exactly matches, or really reduces the value of future stuff by
3 000 000 634 803 867 000 000 000 000 000 000 777 000 000 000 999 fold
Which is way less than 10^52
You may find a fundamental and qualitative counterargument "actually I'd rather future people didn't exist", but you won't find a quantitative one. Thus I spend a lot of time on X-risk related things.
Back to Robin's argument: so unless someone gives me a good argument against investing some money in the far future (and discovering some vague techniques of how to do it that will make it at least one in a millionth possibility) I'll set aside a block of money X, a block of time Y, and will invest in future people 12 thousand years from now. If you don't think you can beat 10^100, join me.
And if you are not in a rush, read this also, for a bright reflection on similar issues.