It depends.
I have owned 100$ knives that blew some 200$ knives out of the water. I have owned 50$ knives that were an order of magnitude better than some 200$ knives. In my experience, therefore, you aren't always guaranteed to get 200$ worth of knife when you pay 200$ for a knife, if that makes sense.
Similarly, I doubt you'd get your 400$ worth out of a 400$ knife, 100% of the time. You may find that there are indeed some 400$ knives that you think are worth the price, but you may find there are lots that just aren't worth the extra money, for you.
Also, it's probably a pretty subjective matter - what might be 'worth' 400$ to one person might not be worth it for the next.
Here's an example of what I mean:
I bought a Spyderco Para 2 for around 100$. Fantastic knife, well made with good materials and suits my needs just great. For me, that was well worth the price.
On the other hand, I bought a Bradley Alias for close to 200$. Defective piece of junk that still doesn't work right after being 'repaired' by the manufacturer.
The Alias, for me, is definitely not worth double the price of the Para 2. Not even close. So, in this example, the 200$ knife wasn't worth the extra cost over that particular 100$ knife. With different knives, it might have been a different story.