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Does PSID have a value of car variable for the time period 1987-1997?
There does not seem to be a question on "How much is your car worth?"
There is a summary of consumption questions in the PSID:
One of the consumption categories is 'transportation' and under this falls vehicle loan payments, down payment for vehicle. There is also a series of questions about vehicle leases. This summary is available here:
There is also a value of vehicle question, but it is is not ideal. It was asked in 1989 and 1994 and the text is:
What about the value of what you own on wheels, like cars, trucks, a motor home, a trailer, or a boat. What are they worth all together, minus anything you still owe on them?
This is available in the Data Center.