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A katana made by a certified smith from Japan would cost at least $5,000. Hell, some bare blades cost $10,000. The Japanese government also limits how many katana are made per year, so good luck getting one.
Seriously, a modern reproduction katana made in China would suffice just as well, if not better for cutting things up/functional use, if that's what you're after . Bugei, Hanwei, Cheness, Dynasty Forge, Ronin Katana, and HSTS all make good katana, depending on the model.
Ronin Katana's Elite line offers katana forged in the fancy lamination styles (if that's your thing) like Gomai, Shihozume, and Soshu kitae styles. Top quality without wasting away thousands on a real nihonto.
If you want something made from tamahagane, HSTS offers their Budo line. Really durable and stupid sharp. Trouble is, HSTS's blades are in such high demand that they're usually sold out.
Unless you're an obsessed sword collector hell bent on getting an authentic Japanese katana, modern production ones will serve you just as well for a fraction of the price.