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How do I figure out diminished value on a car I've owned for less than 3 months?

Still kind of in shock writing this out, but here goes.

I saved up forever to finally buy myself a brand new car — we're talking fresh off the lot, barely broken in, still had that new-car smell. Less than three months later I'm sitting at a complete stop waiting for a school bus and some guy plows into my rear end. Police report confirms it's 100% on him. His insurance accepted liability no problem.

The body shop did a solid repair job, no complaints there. But my car now has a collision on its Carfax and I know that tanks resale value. I want to file a diminished value claim with his insurance on top of the repair.

Here's my problem: my trim level is apparently pretty rare. I've been scouring every used car listing site I can think of and there are almost zero comparable vehicles for sale anywhere — let alone ones that have accident histories I can use as a comparison point. Without comps, I have no idea how to put a real number on what I've lost.

I've seen some people mention a formula called 17c that some insurers use, but I've also read it tends to lowball things badly. I don't want to just accept whatever number they throw at me if I have no way to verify it's fair.

Has anyone dealt with this kind of thing — especially on a newer or rarer vehicle where the used market is basically nonexistent? Did you hire an appraiser? Use some other method? I want to walk into this negotiation with something solid, not just their word for it.

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