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No, it doesn't. It implies nothing of the sort. To say that "in the long run price will converge with value" means that a stock or any other security that is currently mispriced will at some point converge with value. It may do so only to become mispriced again because the market is dynamic, not static. It follows therefore that prices of securities are always diverging and converging from true value and when they do converge it does not mean their prices can never again diverge from true value in the future.....
What you just said there proves my point. That while at some point in the future, the market might get the price "right"; but when in the future; and what is the right price at that unknown future period?
A business is like a living organism right? It operates in a dynamic environment with declining or growing opportunities for its goods/services... So to say that in the future the price will be closer to intrinsic value - that in the long term the market is a weighing machine.. While true it's not really accurate when you apply it.
Example. Say I think company XYZ is worth at least $10 in the future. It now sells for $5.
When that future arrives and XYZ does hit $10... could I just conclude that that $10 is then the "true price"?
It depends right?
Dynamic environment; changing circumstances; new potential markets; less competitors etc. etc. All the new and then unforeseen factors may mean $10 then is way overpriced or way under the new "true value".
So just as we cannot say that old and established companies' share price are "true" on most days; we too cannot say that in the distant or medium future, the price will be true to its value. Therefore, we can only value a company based on current and existing information - That mean our estimate value must be referring to the value at this current point in time.
The idea of the long term the market reflects simply mean that others in the market do not agree with our assessment, but they are wrong and we are geniuses and given enough time - they too will see the light.
It does not mean that in the future, the business will grow to meet its true value.