Removing PMI from a FHA loan faster than required?

We are purchasing a home with FHA loan. The original principle balance on the loan is $306k and the appraisal price is $375,000. We are starting out in the green and in the neighborhood we buying in, most of the houses are in the $400-$575k range (golf and country club). We have to carry PMI due to the 3.5% down... show more We are purchasing a home with FHA loan. The original principle balance on the loan is $306k and the appraisal price is $375,000. We are starting out in the green and in the neighborhood we buying in, most of the houses are in the $400-$575k range (golf and country club). We have to carry PMI due to the 3.5% down payment. On the amortization schedule, we are to carry the PMI for 10 years (until the loan reaches $246k. Given the higher appraisal and and (hopefully) a continued rising housing market, can we request that the PMI be removed sooner? Can we do this with a refinance?
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