A U.S. Liberty 1886 to 1986 coin can be tremendously valuable depending on the year and authenticity. The first step is to identify whether the coin is an original gold half eagle Liberty coin or a commemorative edition released far more recently.
The original U.S. 1886 half eagle Liberty coin was made of gold and is worth not only the value of the gold but the added value of being a historic collectible. These are sold at very high rates and are always worth significant amounts of money. There have been many commemorative editions that are either copies or tributes to the original coin. These are worth only the aesthetic value as the metal used in their creation is not of the same value as the gold of the original.