The answer is yes! First, you should get pre-approved with a lender. This will help you determine what type of mortgage would best suit you. Also, it will help narrow down the maximum loan amount/sales price you could qualify for. There are other details that you would need to provide, i.e. is your income fixed, are you employed, and for how long, rental history etc. There are still many creative programs available that are asset based, and not income based pre-say. I hope this information helps.
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Senior Mortgage Banker
As phrased, your question does leave many possibilites for you in today's market. Having cash for a down payment will certainly help. You will need to contact a local mortgage officer to see if you qualify for a mortgage since qulification is about more than downpayment and income. Once you have done that, you can contact a local realtor to assist you in your search. If you want to find the realtor first, you can always ask them for a referral as well.