Loans which are measured for impairment using the fair value of collateral for collateral dependent loans had a carrying amount of $3.0 million, which is net of a valuation allowance of $1.2 million at June 30, 2019, and had a carrying amount of $3.5 million, which is net of a valuation allowance of $1.5 million at December 31, 2018. The provision for loan losses included in our results of operations relating to impaired loans was a net expense of $0.3 million and $0.5 million for the three month periods ending June 30, 2019 and 2018, respectively, and a net expense of $0.4 million and $0.5 million for the six month periods ending June 30, 2019 and 2018, respectively.
Other real estate,which is measured using the fair value of the property,had a carrying amount of $0.1 million which is net of a valuation allowance of $0.1 million at June 30,2019, and a carrying amount of $0.2 million, which is net of a valuation allowance of $0.1 million, at December 31, 2018. Charges included in our results of operations relating to other real estate measured at fair value were zero and $0.01 million during each of the three and six month periods ended June 30, 2019, and were zero during each of the three and six month periods ended June 30, 2018.