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MUCH closer to the REAL market paradigm, on an Opening Day starter, would be, "what was his largest single season value recently."
For Burnett that would have been $13.2M. He got 25% more than that, yearly, long term.
For Bedard, his largest single-season value was $22.2M. By the Burnett Ratio, Bedard's logical salary would be $28M -- times five years.
You've been watching baseball awhile. You know that teams pay ace starters based on what they hope the starter will do.