If this were possible, insurers would already be offering lower rates for Teslas. They are very good at analyzing risk and setting prices (actuarial science is hugely interesting). Teslas are expensive to insure because they are expensive and time consuming to repair.
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I’m 99% certain that Tesla offering auto insurance is a typical Elon-ism, said with no knowledge or no research except “I did PayPal so I can do anything.”
Set aside for a moment whether Autopilot is safer than a human or having access to data could help you know how someone drives to set more equitable rates (remember insurance companies already do this via OBDII port plug-ins). The accident rate of Teslas is almost the LEAST important factor for insurance rates, though obviously it does matter somewhat. There are 50 state insurance commissioners and the laws and regulations vary across all 50 states. Those commissioners approve insurance rates in nearly all states - you don’t just get to say “I can do it better so I’m charging $100 per year.”
Second, the accident rate is somewhat unimportant because, no matter what, accidents happen. And so insurers rightly ask “how much does it cost and how long does it take to repair the vehicle?” And this is an area where even Tesla fanboys should unanimously agree - the company is abysmal at supplying parts, approving and expanding body shops, and supplying parts cheaply. It’s not unusual for a fender bender to run in the $3000 to $6000 range for repairs - that’s exotic Italian sports car territory for minor accidents. You think it costs that much to fix a Chevy, Toyota, or Subaru? Or even a Cadillac or Lexus?
THAT is why rates to insure Teslas are so high - not because insurance companies don’t understand the insurance business. The insurance company is exposed to all that cost with the body shop, the negotiation with the customer and the body shop, the customer service to update the insured, the rental cost for the insured, etc. Have you called Tesla recently? Good luck seeing that hold time improve when they are also getting insurance calls - did they add 1,000 new call center agents recently?
And third, I don’t think Elon realizes that insurance commissioners exist for another reason - to verify the capital of the insurer to confirm they are solvent for their customers. So Tesla would be opened to examination by 50 (!) state insurance commissioners and, as a general rule, the reason you didn’t hear about auto or home insurance companies blowing up during the Great Recession was because the insurance commissioners do a good job. (Well, and there are capital requirements that make mutual, and even stock, insurance companies remarkably stable. Before anyone says it, AIG was affected by their non-insurance unit, AIG Financial Products, doing securities lending...)
Tesla, which is cash-constrained right now (cash balance down from $3B to $2.1B over Q1 2019), would need to set aside capital it desperately needs for Model Y, Semi, Gigafactory 2 solar, Powerwall, Powerpack, Roadster 2.0, Supercharger installs/upgrades, and Service Center expansion. All the things they have had “coming soon” for some time will now get shuffled again with a major, pointless initiative to compete against entrenched, state-by-state competitors for a single-digit margin product.
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