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There is no such thing as a 1968 Franklin halfdollar. But there is a John F. Kennedy half dollar from 1968.
If your coin says "QUARTER DOLLAR" on the back it's a Washington quarter and is worth only 25¢ John F. Kennedy lived in the 20th century and would not be wearing a powdered wig!If your coin says "HALF DOLLAR" on the back it's a halfdollar and is worth extra for its silver content. There's more information at the Related Question.
The 1945 Liberty half dollar values depends again on condition of the coin. The mint mark and the type of coin is a huge factor in determining the value of this coin. However, I have seen many of these coins sell for under $5.00 dollars this year. And one of these coins sold for nearly $2,500.00 in 'Proof' condition at auction last year.
July 7, 2009 A 1941 P & D Walking Liberty half dollar is worth from about $6 to about $10 in circulated grades depending upon the actual condition of the coin. In uncirculated grades the value ranges from about $30 for MS60 to about $200 for MS65. The 1941-S Walking Liberty half dollar is worth about $6 to about $10 in circulated grades depending upon the actual condition of the coin. In uncirculated grades the value ranges from about $75 for MS60 to about $1275 for MS65.
The back of Presidential dollars have the Statue of Liberty on the back.