1. Circulated: A well-circulated 1961 liberty half dollar in average condition is typically worth around its silver value, which fluctuates based on the current market prices. As of my last update in August 2022, the silver value of a 1961 half dollar is approximately $11 to $13.
2. Uncirculated: If the 1961 liberty half dollar is in uncirculated condition, meaning it has never been used as currency and shows no signs of wear, its value can be significantly higher. Uncirculated coins are often graded by third-party coin grading companies like PCGS or NGC. The value of an uncirculated 1961 half dollar can range from $35 to over $100, depending on its grade.
3. Proof: Proof coins are specially minted coins intended for collectors and are made using a different process than circulation coins. The 1961 proof liberty half dollar has a "S" mint mark from the San Francisco Mint. Proof coins are typically much rarer than circulation coins, and their value can be significantly higher. A 1961 proof liberty half dollar can be worth anywhere from $150 to several hundred dollars, depending on its condition and grade.
4. Special Mint Marks: In addition to the regular "S" mint mark for the San Francisco Mint, the 1961 liberty half dollar was also minted with special "D" and "P" mint marks for the Denver and Philadelphia Mints, respectively. These special mint marks are less common and can increase the value of the coin. A 1961 liberty half dollar with a "D" or "P" mint mark can be worth $25 to $50 or more, depending on its condition.
It's important to note that the values provided here are approximate and can fluctuate based on market conditions and the specific characteristics of the coin. To obtain a precise valuation, you can consult a professional numismatist or use an online coin pricing guide.