I think it's from the 30's
This is a Nonpareil banjo with mother of pearl body. Nonpareil instruments (banjos, ukuleles, tenor guitars) were distributed by Perlberg and Halpin of New York from 1926 until the 1940s.
Here are some sales records and asking prices to give you an idea of the market. I was not able to find more than a few for nonpareil so I also looked at 1930s banjos generally. I am basing my valuation on these. Please let me know if I can assist further
Nonpareil banjo, Unsold, Est. $110-$160
Nonpareil banjo, Unsold, asking $475
Sold for $200, 1920s Nonpareil mandolin
Asking prices on reverb for other brands of 1930s banjos were mostly around $400 to $600, with outliers on either end. Here are a few examples: