Before we get into how weird it is to send this out to your banking customers, let's first say that, yes, this is a legitimate theory. The infographic even has footnotes to the relevant academic literature—specifically the work of philosopher Nick Bostrom, who came up with the 20-to-50 percent figure.

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To simplify Merrill Lynch's explanation a bit more, think of the video game The SimsImagine you wanted to make a version of The Sims so accurate and lifelike that you'd be able to use the characters in the game to simulate almost any situation you can think of. A simulation that realistic would necessitate that the characters be able to think, feel and make decisions like real people. They would need to think they are real people in order to act the way real people do. So what would happen if those Sims found out they were in a game? That's what this e-mail is suggesting: That we are The Sims.

(A lot of people also use the example of The Matrix when discussing this theory, but I don't because I'm not 12.)

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This isn't just the province of philosophers. Tesla CEO Elon Musk has apparently talked about this subject so much it's become de rigueur for him. He's convinced we actually are not living in a "base" reality, but rather we're in a simulation and building up our technology to the point that we'll be able to make our own simulations.

"It got to the point where every conversation was the AI/simulation conversation, and my brother and I agreed that we would ban such conversations if we were ever in a hot tub," Musk said at a conference earlier this year.

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But let's get back to Bank of America's email for a moment. Everything else in the message they sent out has actionable investment advice linked to emerging technology markets, and the Merrill Lynch division manages more than $2.2 trillion, giving their clients a lot to invest. But what's a savvy wealth manager to do when faced with a 20-to-50 percent probability that reality is an illusion?

Merrill Lynch doesn't have the answers. But I do. Here are a few financial tips for the investor who has come to believe we are actually just a bit of post-singularity jetsam.

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