I think there are a number of short term impacts on the market over the next 3-6 months.
For new cars the supply will begin to slow. The number of buyers will also decline due to (a) people self isolating and not visiting showrooms, and (b) uncertainty over job security and income. Dealers may struggle, but possibly little impact on prices if reduced supply for the next few months broadly continues to match reduced demand.
The nearly new market - often sold through main dealers and car supermarkets - are typically ex-hire or lease up to 18 months old and ~20,000 miles. What happens here may depend on the original lease or sale terms - for the next few months people may want to extend an existing lease rather than replace it.
However the car supermarkets may already have commitments to take cars from hire and leasing companies which they can't avoid. Their prices may need to be reduced significantly as they may be unable to finance the increase in vehicle stocks.
Further down the chain sales will be significantly impacted by the virus as (mostly) changing a car can be deferred for several months or even years. So there could be some very good deals out there as dealers seek to move existing stock as the need the cash flow.
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