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WTF? Of course cars retain value. Maybe not as much as other assets but they do have value.
Not much. By the time the typical person finishes paying off their car (four to six years), the amount they'll get back isn't even half what they paid. And that's just the car itself, that doesn't include the true cost of owning the car. That's just typical maintenance and mileage. This is especially true now with all the sensors and computer components that aren't as easy to work on yourself as it was in the past.
The greatest value of a car is that it gives the ability to someone outside of walking, biking, or public transporting range to get to work and make money consistently. The car on it's own doesn't add much to an individuals wealth past the first year, of which it likely still belongs to the bank anyway. Until you actually own the car, it isn't building any equity, and has almost no value. By the time the average person pays it off, it's already lost much of it's actual value.
Anything over five years old is significantly less valuable because it is not usually eligible to be CPO'd. If you have just paid off your car and trade it in after five years, you never had a chance for the car to actually hold value to your actual worth. Now you get another car and it's again owned by the bank. By then, it's already lost more than half it's value.
The best way to get value out of a car is to buy it one year old, slightly used, with low miles. By then, the car has already depreciated the most it will on a per year basis. Then you pay it off as quickly as possible so it actually is an asset to you. Then you use it as long as possible and take care of it in the hopes of holding off any major mechanical issues.