Don't be fooled by the blade material listed when buying a katana. The tang on most cheap katanas is WELDED on!! It isn't one piece of steel forged from the blade material like you get with higher quality katanas. If you smack something hard with a welded tang, it will snap and the blade will go flying and potentially kill/injure you or someone around you.
I would save my money and get a katana in the $250 range that is 1075 or 1095 carbon steel that is hand forged from Japanese steel in China. Otherwise your blade will bend, chip, crack, or fly off when you start hitting it against hard objects.
Even a high quality sword will be damaged by hitting trees or logs if you don't have perfect form and blade angle. A good thing to chop is bamboo, rolled mats, or even gallon water jugs. Slices right through them.
Most swords come with a crappy edge on them. They are sharp enough to cut you, but barely. I ran my swords through a Ken Onion Sharp Maker and now they are unbelievably sharp.