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Other Assets Other Assets (Details) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Other Assets [Abstract]      
Lease inducements, net of accumulated amortization of $6,675 and $5,475 in 2015 and 2014, respectively $ 14,470us-gaap_IncentiveToLessee $ 12,245us-gaap_IncentiveToLessee  
FF&E and leasehold improvements, net of accumulated depreciation of $20,129 and $19,137 in 2015 and 2014, respectively 11,608cuz_FurnitureFixtureAndEquipmentsAndLeaseholdImprovements 10,590cuz_FurnitureFixtureAndEquipmentsAndLeaseholdImprovements  
Loan closing costs, net of accumulated amortization of $2,643 and $2,286 in 2015 and 2014, respectively 6,529us-gaap_DeferredFinanceCostsNet 6,878us-gaap_DeferredFinanceCostsNet  
Prepaid expenses and other assets 7,724us-gaap_PrepaidExpenseAndOtherAssetsCurrent 3,428us-gaap_PrepaidExpenseAndOtherAssetsCurrent  
Predevelopment costs and earnest money 2,321cuz_PredevelopmentCostsAndEarnestMoney 1,789cuz_PredevelopmentCostsAndEarnestMoney  
Other Assets 42,652us-gaap_OtherAssets 34,930us-gaap_OtherAssets  
Accumulated Amortization Incentives to Lessees   5,139cuz_AccumulatedAmortizationIncentivesToLessees 4,181cuz_AccumulatedAmortizationIncentivesToLessees
Furniture, Fixture and Equipments and Leasehold Improvements Accumulated Depreciation   18,712cuz_FurnitureFixtureAndEquipmentsAndLeaseholdImprovementsAccumulatedDepreciation 17,684cuz_FurnitureFixtureAndEquipmentsAndLeaseholdImprovementsAccumulatedDepreciation
Accumulated Amortization, Deferred Finance Costs   $ 1,927us-gaap_AccumulatedAmortizationDeferredFinanceCosts $ 2,621us-gaap_AccumulatedAmortizationDeferredFinanceCosts