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The state will get the same money whether you trade or not. They will get tax on what you buy. The change takes away the tax credit for your trade amount. Instead of $30k new car - $10k trade value credit = pay tax on $20k difference, now you just pay on $30k regardless of trade.
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I think you are incorrect . So if am the owner of a 50K pickup that dad gave me in his will(inheritance so not taxed), and decide that i will drive it for 30 years , total tax paid on it is the annual registration tax, and the one time sales tax(3500 bucks ish at 6.25 %, yowza).
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I trade my truck in every 5 years for another 50K truck. (truck is a chevy so it depreciates FAST, only worth 25k after 5 years) , ill get taxed on the 50K purchase price even though my new 50k truck is only costing me 25k (25k trade in value + 25k payments). so taxes will be 3500 every 5 years.
At the end of 30 years(the only factory thing in the original chevy is the passenger side seat belt buckle and the ash tray, everything else if aftermarket at that point) the first truck has paid 3500+yearly registration fees, while second truck has paid 3500*6 + registration fees). It would seem that the state is incentivizing NOT trading OR buying a new vehicle. the price of them just skyrocketed, i would think that dealerships would HATE this, but mechanics would love it.