Is Braum alive at this point in time?

I was reading his lore over again, and it seems to me that Braum's exploits took place quite some time ago considering he's become part of folklore. The grandmother of the grandmother telling the story to the child in Braum's lore knew about Braum. I wonder if he simply left the Freljord and faded into the past/died of old age. Maybe he never existed at all? Maybe he was just a folk tale. He's definitely old, and someone did raise the possibility about magically extended lifespan, but I want to hear other's opinions.