The dollar can be used once a day. It has to be a dollar’s worth of a product, service or use of a product. For example, A dollar’s worth of a $100 TV would be the life of the TV divided by 100. You would get to enjoy the TV for that amount of time. The product or service is instant and doesn’t require any preparation. It just appears and disappears. Or you could have a TV permanently that is worth one dollar.
You are renting the land/home for one dollar’s amount of time. Tax free for this scenario. The amount is determined by whatever the market value of the home is divided by one dollar as a percentage. Assuming the time it would take the average buyer to pay off a mortgage. (Not including tax, that is too complicated so I am leaving it out). Then you determine how much of the total amount of that time is one dollar. Probably minutes or maybe close to an hour, IDK. You don’t have to calculate it, the dollar does this by teleportating you to and from it. You can save your magic dollars and become a magic millionaire/billionaire etc.
One dollar a day is $365 per year. If I lived a hundred years and didn’t spend anything, I’d have $36,500 (not counting leap years). I’d have to live 2,739 years to become a millionaire - I don’t think I’m going to make it!
Remember there was a guy who traded a paperclip up to a house by trading for something more valuable each time. Similar concept if you consider that the magic dollar can be sold to someone once you show them what it can do. They get it for one use but you still get one magic dollar each day.
If you teleport to it and back, that’s way more valuable than anything you’d actually be buying. I’d just use it for that purpose exclusively. Choose a plot of land to “buy” that’s calculated to a specific timeframe, matching how long I wanted to be there. “I want 200 square feet in Norway.” Day trip to Norway, let’s go!