The Model 63 took the place of the of the Model 1903. It is considered one of the best semi-auto 22 rifles ever manufactured. There were about 175,000 made between 1933 and 1958. Yours was made in 1937.
Values are: excellent-$1000, very good-$700, good-$600, fair-$400 poor-$200.
If it has a grooved top receiver for scope mounting, add 20%
I hope this helps you,