I lost the remote and would like a duplicate of the car's key
how much is it for a new remote and key duplicate on 2001 Volvo S80
It won't be that much for your S80, but you should expect to pay about $150 - $250 or so to replace the key and remote, and to reprogram them both to your car.
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some remotes cost 400.00 to 700.00 from dealer as they do so many functions now days.