You will have cost for 2% transfer tax, title insurance, real estate tax proration, recording fee, notary fee and property insurance cost. Depending on what the real estate tax proration amount is, I would estimate 4,000 and that figure is subject to cost for home insurance. Depending on the strength of your application it could be higher or lower for insurance cost. If you were to have a termite inspection add maybe $85 more. If you were to require a home inspection, add another 300-325 depending on style of home etc but I don't see you getting into the home with just 2,000 closing cost unless the real estate taxes are exceptionally low and you do not get any inspections.
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