What is the value of 1881 5 dollar gold coin?

Assuming the coin is circulated and has no mintmark, the 1881 Liberty Head Half eagle is the highest mintage most common date coin of the entire Liberty Head series. This coin is very available in all circulated grades and even Gem Mint State grades. It is by no means rare. For an accurate assessment of value the coin needs to be seen and graded. Most circulated examples have seen heavy use and show a lot of wear. In general retail values for low grade coins are $500.00-$525.00, better grade are $540.00-$565.00 and coins showing almost no wear run from $570.00-$600.00. Values are a market average and only for coins in collectible condition, coins that are bent, corroded, scratched, used as jewelery or have been cleaned have far less value if any to a collector or dealer.