Well all bows are accurate, just depends on how that accuracy translates thru the shooter.
All bows these days are fast enough to kill a deer.
Most bows are quiet, some are VERY quiet. For hunting I want the quietest bow I can get.
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Just a regular guy who likes to hunt
as long as the bow fits good in my hand it will be accurate... i put a big emphasis on the quietness of a bow, and also how the bow feels when you shoot it. i knw the deer doesnt care if it vibrates or not but if im payin that kinda money for a bow i want it to fell good when i shoot it. i got the admiral, its got it all imo.. decent speed, completely silent and dead in your hand, and fairly stable for bein 31in a2a
The accuracy of a bow depends on the person shooting it. I personally look for the qualities of lightweight, durable, short ATA, and no hand vibration when picking out a new bow. As Rybo said all bows are quiet and fast nowadays.
I think what people really mean when they're saying "accurate" is forgiving. A totally unforgiving bow can be extremely accurate when you remove all the flaws of the shooter from it. What you really want though is a bow that forgives the flaws of the shooter and yet still retains it's inherent accuracy. The better shot execution an archer has the less forgiving a bow they can shoot so "forgiveness" of a bow ranks lower for me than it might for someone just starting out. Because I hunt in extreme mountainous conditions a lot this is what I look for;
dependability/durability, light weight, smooth/easy draw, forgiving performance, quietness, good energy generation per pound of draw force/efficiency, speed
It'd be a lot different if I was only hunting out of a tree in the back 40;
Smooth easy draw, forgiveness, quietness, efficiency, speed
Note 2 things: #1 durability (everything made these days can handle this type of use) and weight aren't even a consideration out of a treestand and #2 speed is always last on my list.