Lots of bolt-actions fit that bill. Stevens 200 will be the cheapest, followed by the Marlin XS7. Weatherby Vangard would also fit well within that price range but most of those I've seen were in long actions (30-06, 270, etc.) If you are willing to try slightly used, there are tons of the plain-jane Savage models that can be had for $400 or less. Every single one of these is MOA or better accuracy.
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