Yes.
The cost basis of inherited stock is generally the market price of the stock on the date that the benefactor died.
In rare cases, the executor of the estate will make a special election to treat the stock differently. Check with the executor to be sure.
It is not the job of the issuer of the 1099-B to determine this. The only information they can provide is the purchase price and often you only get this when the institution themselves arrange the purchase.
