Any bank will give you one pound for it. On the collectors market, it is worth whatever somebody is prepared to pay.
1 pound sterling
Scotland uses the same currency as the rest of the United Kingdom, the Pound Sterling.
The value of the pound is the same in England, Scotland, Wales and Northern Ireland although notes issued by Scottish and Northern Ireland banks aren't widely accepted by shops in England and Wales. The Republic of Ireland uses the Euro.
a) There are several RBS commemorative issues; 1992, 1994, 1997, 2000, 2002, 2004, 2005 and different denominations. More information required. b) The only 1963 National Commercial Bank issue was the 5 pounds note. A mint condition uncirculated example would be worth about £60 (Very Good condition about £15).
It will not effect the national US market
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A 1983 Bank of Scotland £1 note is worth $14 in uncirculated condition ($4 in Very Fine). A ROYAL bank of Scotland 1983 is worth $20 (VF: $6)
Probably still worth only one pound but if it was different in some way, a collector might be prepared to pay more than its face value.
The face value of anything is whatever is written on it. The face value of a Pound, is a Pound.
Scottish banknotes are not legal tender anywhere in the UK including Scotland, where the have the status of a Prommissory note. The Royal Bank of Scotland is the only bank still producing a One Pound note in Scotland. The notes are acceptable in Scotland. There is an agreement in place between banks, and the Scottish One Pound note should be accepted by English banks, but might be accepted by business and trades people in England.
The value of a banknote to a collector is dependant on its condition. A 1965 Bank Of Scotland £1 would be worth around £20 in uncirculated condition, £10 in EF condition and £5-8 in VF. These are approximate current eBay auction values.