What would happen is entirely your responsibility as the author of the scenario.

Some options may be more “realistic” than others, but since the existence of a working time machine is already beyond what seems to be feasible physics (requiring ridiculous amounts and density of negative energy for example, where not even any has been shown to be possible to make) the scenario becomes soft sci-fi, or in other words magic, and that means it’s up to the writer to make up the rules.

Here is a post I found with many of the options you can choose from.

It is no paradoxon.

Only your story is a bit unclear at the point where it matters. Let me ask a question to clarify = to destroy what appears a paradoxon, but isn’t.

Question:
Who controls the transmission of the information - the past self or the future self?

If the past self controls the transmission, then he receives no information. Case closed. It does not matter what the future self is doing.

If the future self controls the transmission, then he knows when the past self turns off the device. He can send it just a minute further into the past, before the past self turns off the device, and so the past self receives it “in time”.

You can kinda see this play on in the short story by Ted Chiang called The Merchant and the Alchemist’s Gate.

This is fundamentally a variation on the question of a Temporal Paradox, also known as a Grandfather Paradox (“You go back in time and kill your grandfather. What happens?”). Although no killing happens in this variation, the basic idea is the same: Information is transmitted to the past from the future, but results in a situation where it cannot be transmitted in the first place.

Accordingly, there are several hypotheses to cover this. This isn’t even all of them:

• The closed loop theory: To maintain the loop, you will in the future build a time machine which will allow you to activate the machine in the past, maintaining the loop. Past you may even be unaware it was activated from the future.
• The Parallel Universe theory: When future-you sent information into the past, they did not send it into their own past but rather into a universe in which you do not send the information back in the first place.
• The Timelike Curve theory: Because there is no common reference frame for “time”, each quanta of “you” is experiencing a different reference frame. The historic light cone of your future self sending the information back exists, and if you could follow those photons backwards you would find him doing this. But future you, in your frame of reference, will never see the machine activate.
• The Emergent Time theory: Time is not a linear path, but a function of entropy. By inverting entropy, you have caused a reconfiguration of the universe into a version in which the machine is inactive.

You’d still be poor.

Time to watch Déjà Vu I guess