Other forms: finances; financing; financed
To finance something is to pay for it, like using the money you earn at your part-time job to finance your cell phone bill.
As a verb, it carries two very different meanings: "to pay for" or "obtain on credit." So, if you can finance your trip, it means you have the money to pay for it. Anyone who works in finance, meaning the banking and investment industry, will tell you plenty of people get in trouble by letting credit cards finance things like vacations.