There is no such coin in the U.S. Silver dollars were not minted after 1935.
If you have a different denomination or your coin is from Another Country, please post a new question with those details.
It's currently worth about $10.50 for its silver content, and upwards of $12 in uncirculated condition.
Check that coin again. The U.S. didn't mint any silver dollars in the 1960s.
This is one of the most common dates for silver Roosevelt dimes. Even in uncirculated condition, it's only worth about a dollar.
As of 02/2009, a 1963 Franklin-Liberty Bell half dollar is worth about $6.00 in circulated condition. Uncirculated and proof versions are about $7.50. Nearly all of that value is due to the coin's silver content, and will change along with the price of silver. http://www.ecoinprices.com/ try this site
It is impossible to define the value or worth of a 1963 5 dollar silver certificate because there were none manufactured in that year. The last batch of 5 dollar silver certificates are dated 1953.
So many were struck, unless it's uncirculated the value is for the the silver, about $11.00.
Mint condition uncirculated notes are worth $4. Used ones are worth $1.
In Very Fine condition it would be worth $9. In uncirculated condition, $20.
In perfect uncirculated condition, a 1963 $5 note is worth between $15-20. In normal used condition, it is worth exactly $5.
About $10.50.
So many were struck, if it shows any wear the value is for the silver, about $11.00.
It's a U.S. Note rather than a silver certificate. It's worth face value if circulated, $3 if uncirculated.