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Per FBR, 3520, 8938, the exchange rate is used by the end of the year (Dec 31th).  I inherited the house, mother passed away on 4/27.  Actual acquisition date (legal) is 9/8.  I use the exchange rate of Dec 31 for FBAR, 3520, 8938.  For the long term capital gain, I use the exchange rate of 9/8 for the Basis.  I use the appraisal value on 9/2.