What's the difference between Fair Value & Fair Market Value?

Greetings,

I was reading an example whereby an auction for a painting was being held and the painting sold for $30M, however there were 2 bidders, one at $29M and the other at $30M.

  • According to Fair Market Value , the definition held because at a certain point in time there was a willing buyer and a willing seller for $29M.
  • However, because it was sold for $30M, the Fair Value became $30M. And so Goodwill of $1M was created.

What is the critical difference?

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https://www.investopedia.com/terms/f/fairvalue.asp

https://www.investopedia.com/terms/f/fairmarketvalue.asp