Raccoon Coats

[stoutfellow]

There is a short story from the 1920s that I'm trying to remember. It involves a young man who, courting a young woman, trades his raccoon coat to another man in exchange for something - a car? - that he thinks will impress her. She winds up involved with the other man, because "he has a raccoon coat".

I'm thinking it's by F. Scott Fitzgerald, but I'm not sure - it could be Ring Lardner, or... somebody else. Does anyone remember this story?