We really just need to check for you. It will depend on your credit score, income, debts, assets, etc. Let's get you with a loan officer to find out and get you preapproved. Call me if you need a referral.
It really depends on your income and whether you can go full doc (show income taxes, bank statements, etc.). on average, nowadays the banks want to see close to 25% down with excellent credit score, full doc. If you can show that you are going to RENT this house, and you already have a good tenant in place for it with a good credit and capable of paying the market rent, then your chances would be much higher to get a loan. Keep in mind that you will not get the prime rate since this is a second home.