someone more experienced here could give their opinion on the value of the token DAY, for example the value that will be from here a year or two years of project.
I was also hoping that someone could come by and post prediction and speculation about the price in a month and year to come but there is none, the ICO token was sold 24 USD a piece now it is trading 2.13 USD imagine the lost.
Don't you know by now that your guess is as good as anyone else's? There are no "experts", speculation about price in dollars in x months from now is more depending on bitcoin than anything else almost. I can give you my take though:
At the end of next month or early july (IF the security audit is done and green light is given) the Ethereum Alarm Clock (EAC) will be on the ethereum mainnet, that's an important starting point by which we will see if the DAY token can shape its own price trajectory or not. Since it's needed as a stake for running timenodes, we will probably see some action i think, probably not with very high volumes though.
The ico price for the DAY token, assuming you were one of the 3333 ico participants, was around $12.5 by the way (when ether was 300$), but keep in mind that for the ico participants DAY is a self minting token that has grown 280% so far with a declining growth rate. To give you an example: if you bought 24 DAY (for 1 ETH) during ICO, you now have 91 DAY, assuming you didn't move them at any time from your original ethereum address.
The people that own DAY since day 1 will most likely wait patiently another few weeks, or in a worst case scenario months even, because finally a use case / utility is coming. That does not necessarily automatically mean price goes up, because the free floating DAY on exchanges (the part that is not locked in timemints (the original ico eth addresses) sets the price, always remember that. When timenodes prove to be economically profitable, demand for DAY will rise.