Despite its age, these bills are very common among collectors. As of 07/2014 approximate prices are:
Circulated: $5 to $7 depending on the bill's condition
Uncirculated: $18
Serial Numbers
A bill's serial number is a counter and a security feature. In most cases it doesn't affect a bill's value or help to identify it. Some collectors specialize in bills with low serial numbers (e.g. 00000005) or unusual patterns (12344321) so these can bring above-average prices.
DISCLAIMER: The values quoted are market averages as of the date shown, but may be different for an individual bill due to variations in quality and other factors. Also the wholesale (buying) price of a bill will be less than the selling (retail) price. A reputable currency dealer will be able to give a more accurate valuation based on an in-person inspection.
Please post a new, separate question with the bill's denomination.More information may be available at the following questions:"What is the value of a 1963 US 1 dollar bill?""What is the value of a 1963 US 5 dollar bill with a green seal?""What is the value of a 1963 US 10 dollar bill?""What is the value of a 1963 US 20 dollar bill?"
Unless it's uncirculated, maybe $1.10. A dealer will pay face value.
$1 Federal Reserve Notes have been printed since 1963 so a date is needed. However, nearly all of them are very common and are worth either face value or a only slightly more.
If the bill is dated 1963 or earlier please look for questions in the form "What is the value of a US 2 dollar bill."If the date is 1976 or later, all the "A" means is that the bill was distributed by the Boston Federal Reserve District. Unless it's in pristine condition, a $2 Federal Reserve Note is worth face value only.
Please check again and post a new and separate question. All 1963 $10 bills were issued as green-seal Federal Reserve Notes.
Federal Reserve Notes from the 1960s are common among collectors. Unless your bill is in nearly-new condition, it's worth face value only.
Please check your bill again and post a new, separate question:There were no 1963 A United States NotesFederal Reserve Notes are different from United States Notes. They are/were issued by different agencies; the most obvious distinction is that Federal Reserve Notes have green seals while US Notes used red printing.
Your bill was distributed by the Federal Reserve Bank of San Francisco but like all US bills at that time, it was printed in Washington DC. Please see the Related Question for details about prices and conditions.
Its worth 15-20 dollarsCorrectionPlease check your bill again and post a new question. There were no 1963 B $5 bills printed, only 1963 US Notes, and 1963 and 1963 A Federal Reserve Notes.
Please check your bill again and post a new, separate question with the bill's denomination. The first $1 Federal Reserve Notes were printed in 1963. 1914-dated FRN's were printed in denominations of $5 through $100.
All 1963 U.S. $1 bills are Federal Reserve notes with green seals. Red-seal $2 and $5 U.S. notes were printed in 1963 . These are worth face value or slightly more, at most around 10%.
1963 $1 Federal Reserve Notes are common among collectors. As of 04/2009 auction prices are in the $2 range.