Yes you can depending on your credit worthiness. FHA requires a 3.5% down payment and Conventional requires a 5% down payment. With conventional financing you can opt to have one loan similar to FHA with monthly mortgage insurance or you can opt for 2 liens (again if you qualify). The first lien is for 80% and the second would be for the remainder of the balance. This can be beneficial because although the rate will be higher for the smaller second lien you are avoiding the monthly MI with this option.
As mentioned in various areas you may qualify for USDA which allows for 100% financing including closing costs depending on certain aspects.
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