Unemployment is nuanced because you're incentivized to not even try and probably not really that relevant to UBI fwiw.
I have no doubt that rents and costs would go up but they would go up by less than the full amount of the UBI so the UBI would still be helpful to the recipient.
It'll also never be a "basic" income in that the poor will always need to work to survive.
From another perspective, why doesn't food cost 90% of our income anymore? Why didn't food prices go up in perfect lockstep with every productivity improvement and rise in wages since 300BC? Because there are people out there willing and happy to sell it for less, no other reason.
Planet money has an episode on the subject.
1. https://www.businessinsider.com/finland-basic-income-experim...
Listen to the panet money podcast, the experiment is much better conducted and the podcast goes into great depth discussing various effects on the participants.
https://www.npr.org/sections/money/2017/09/22/552850245/epis...
There is a lot more than succeded and failed to dicsuss here, happy to do so if you are interested in doing that rather than just proving your point.
You can probably see how this is a very different situation from something like Yang's proposal, where a person would get an extra $230/wk no matter what they did. That would be $670 to go to work or $230 if they don't.
You have to be careful not to look at a single side of the equation -- there are also savings that would happen as a result of UBI. Maybe you give someone $100 for free and it raises the price of everything by $5, but you don't have to pay $300 to replace a car window that is broken out when someone robs your car. And/or the costs of insurance/taxes goes down. Crime, poverty, poor health, etc have huge costs to everyone in the US, and you have to factor those things into the equation.