Prediction markets and Taxes
(Epistemic status: This is super trivial information)
(Note 2: there is a timely Culture war issue that triggered this post but I will not be mentioning any Culture war issues in this post)
Imagine you worked for the US mint, and somebody was betting that a coin you manufactured was unfair, now you work for the US mint and you know this coin is fair, it isn’t weighted and the edge alignment is perfect. The person making the bet going to use a coin flipping robot to remove any human deception.
What odds would you have to be given to actually take the bet?
I’ll be using American odds. So in theory you’d accept any odds above +100 right? Well in a world without taxes yes, but taxes are one sided, you don’t pay negative taxes on gambling losses, but you do pay positive taxes on gambling winnings. As such we need odds that are better than +100/(100-T) where T is our marginal tax rate. Marginal tax rate means territory/state, local and Federal income taxes which gets complicated, however for now if we assume 33.3% as our marginal tax rate (California man making >100k/year) , we would need odds of +150 or better to be worth betting. (That’s 60% or better in manifold terms)
I feel like this point is understated, for real money markets you need to do the following to get the “estimated odds”
Let market “probability” be = M (for these purposes the bid ask spread in most markets is trivial relative to the weight of taxes)
The actual probability that the event happens is at least
The probability it doesn’t is at most
all told those are pretty stark differences, if the market is saying that an event has a 63% chance of happening then the event has anywhere from a 53-72% chance of happening!
So if somebody says “the market is giving probability of 63% but my model says it has a 55% chance of happening, “why aren’t you betting” is not a credible argument because If they were right they would still be unable to profit from their disagreement with the market.
Tax (and other frictions) is pretty well-known as a market distortion. There is some symmetry to the taxation—both sides of the market have the same friction (tax if win, no tax if loss), so this will make it less noticeable. And in robust markets, there will be enough professional involvement (who get taxed on net winnings, not on wins ignoring losses), that the effect is probably small.
Still, thanks for pointing it out—the effects are real, and important.
As I said epistemic status “Trivial”
This is something trivial but it’s worth noticing.
It’s not true that you can’t pay negative taxes on your betting market losses, at least if you are someone who uses prediction markets routinely. You are allowed to deduct your gross gambling losses from your gambling gains, and you only pay tax on the net gain. See https://www.irs.gov/pub/irs-news/at-02-53.pdf.
Where do all these bizarre notations come from?
That one seems particularly off the wall.
American odds can be basically interpreted as “The Net amount you win after making a $100 bet” So if the odds are +150 you win $150 PLUS your initial $100 bet if you win the bet.
Negative american odds means “the amount you have to be to win $100” so odds o −230 would mean you have to bet $230 to win $100
Yeah, I got that, but it’s a very counterintuitive way to describe probability, especially the negative thing.