Coin is a city in Page County, Iowa, United States. The population was 176 at the time of the 2020 census. The Wabash Trace—a railroad c…Coin is a city in Page County, Iowa, United States. The population was 176 at the time of the 2020 census. The Wabash Trace—a railroad converted to a bicycle trail—passes through here. Coin was platted in 1879, on the Chicago, Burlington and Quincy Railroad line. The origin of the name "Coin" is obscure.