The short answer is maybe. I always like to give a short answer followed by an explanation. It just seems like the right thing to do. In most cases the answer is yes. Fixed annuities with indexed pay options are called all of these varying names. It can get quite confusing. I personally call them by just about every name I have heard for them. But why are there so many names? I have a theory.
Since fixed indexed annuities are internationally popular and most of the enormous insurance companies that are offering them have offices in many countries I think it is a language thing. I have attended many different conferences where we had a foreign officer of an insurance company speak. I remember almost all of them. Why? Let's face it. No matter where you are from a person with an accent is more memorable than everyone else in most cases. We tend to pick up what we here so whatever "they" said is probably what your insurance agent is calling the annuities.
So, imagine a hundred thousand insurance agents in different countries talking to each other either directly or indirectly through the internet or meetings. Each language has their own word for the product and they try to translate the word into English. Follow me so far?
Now we have whole lot of almost the same word for the same product. And to top that off, insurance companies even call them slightly different names depending on who you are talking to. It like a street name and formal name but which is which? You decide. Just be aware that fixed index, fixed indexed, bonus, and indexed annuities are probably the same thing.