Final answer:
Insurance producers selling variable annuities must be registered with FINRA, as these products are considered securities.
Step-by-step explanation:
An insurance producer selling a variable annuity with a cash value that depends on the performance of an underlying investment account must be registered with D. The Financial Industry Regulatory Authority (FINRA), formerly known as the National Association of Securities Dealers (NASD). This is because variable products are considered securities, and any professional selling securities must be registered with FINRA, which is the authorized self-regulatory organization for these types of financial products.