The 514 was made from 1948-1970 so they are all date code stamped on the barrel, see related links.
1927
There would be to many combinations to include in this answer.the Remington model 514 was made from 1948-1971. Look at related links for a explaination and table on the Remington Society of America.
50-300
75-150 based on condition
Early 1920
I have a Remington 22 long or short Rifle Model 514 pat# 214901322 ABO? What year was this made.
See related link 'Remington 514 photo'
$100-$150 in top condition. sales@countrygunsmith.net
Introduction Year: 1948 Year Discontinued:1970
Yes, but you have to drill and tap.
Model 514 rifles in typical condition sell for around $100. Really mint examples might reach $175. sales@countrygunsmith.net
remington model 512 value, as with all items, depends on condition. how good in the finish, wood, bore. Any rust/pitts. between $75 - $100 if good