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identify7I respectfully reject your premise. I do not believe that nuismatic prices justify nor refute what occurs in the baseball card marketplace; anymore than philately relates to comic book prices, Old Masters to antiquities nor home prices in LA verifying or contradicting those in NYC.
It is however, a very interesting question, because there are many parallels among the items collected. In general though, my (non-expert) observations have indicated that coin collecting has resulted in less rapid movement in prices, while maintaining a generalized upward trend (that sounds like the weatherman).
"There will be a general cooling trend as winter approaces, followed by increased periods of warmth as winter gives way to spring."