They didn't start making them until 1919 (not 1916) the value is determined by condition.
Remington model 24 valueI just bought one myself at a gun auction for $55. The thing with the model 24 is that they made several grades and you must also determine the condition. I believe about 140,000 were produced. The short answer is it is only worth what the market will bring. You could try to run it on a gun auction with a high reserve to see how much it will bring. Maybe a large gun dealer could grade the condition for you and look in his books to find a value....Good Luck....Chat with our AI personalities