NOTES TO CONSOLIDATED FINANCIAL STATEMENTS The following table shows a reconciliation of the beginning and ending balances for assets valued using significant unobservable inputs for the years ended December 31, 2020 and 2019: 102 Fair Value Measurements at Reporting Date Using: Description Fair Value at December 31, 2020 Quoted Prices in Active Markets for Identical Assets (Level 1) Significant Other Observable Inputs (Level 2) Significant Unobservable Inputs (Level 3) (In millions) U.S. Equity 1.0  1.0  —  —  International Equity 0.9  —  0.9  —  Fixed Income 12.2  —  12.2  —  Private Equity 0.3  —  —  0.3  Hedge Funds 0.4  —  —  0.4  Real Assets 0.4  —  —  0.4  Cash 0.6  0.6  —  —  Total $ 15.8  $ 1.6  $ 13.1  $ 1.1  (1) (2) (2) (3) (4) (5) (1) The fair value of the postretirement assets at December 31, 2020 and 2019, are as follows: Private Equity Hedge Funds Real Assets (In millions) Balance at December 31, 2018 $ 18.6  $ 34.3  $ 19.9  Return on plan assets: Unrealized —  2.3  0.7  Realized (2.0) (0.3) (0.6) Purchases 0.5  —  0.1  Sales (4.2) —  (1.2) Balance at December 31, 2019 $ 12.9  $ 36.3  $ 18.9  Return on plan assets: Unrealized $ (0.1) $ —  $ (0.1) Realized (1.0) (1.3) 0.1  Purchases 0.1  —  0.1  Sales (2.1) (19.7) (2.7) Balance at December 31, 2020 $ 9.8  $ 15.3  $ 16.3 