*[Note: This post was an April Fool's joke!]*

The volatility we’ve experienced in the last five years has challenged every investor. Yes, diversification can help, but many of the leading minds in finance have been looking for ways to improve on the now discredited Modern Portfolio Theory. I recently met with a quantitative analyst who believes he’s made a breakthrough.

The analyst did not want me to reveal his identity, so I’ll call him Sheldon. His model is based on a concept he calls “quantitative arbitrage,” or QA. The basic idea is combining long and short positions in a portfolio to dampen market volatility. “You remember Newton’s laws of motion from high school physics,” Sheldon says. “The third law says that for every force applied, there is an equal and opposite force. QA is essentially the same idea, but with much more advanced equations.”

At first, I didn’t believe it either. After all, long and short positions should cancel each other out and produce a return of zero. Indeed, after expenses the returns should be negative. But Sheldon has compensated for that by using leverage. “I’ve designed an algorithm that determines the right balance between a leveraged long position and its inverse corollary,” he says. “Now instead of the two positions cancelling each other out, there is a positive return, regardless of whether the markets move up or down. It’s simple when you understand stochastic variables.”

I asked Sheldon if he could apply the QA algorithm to the Global Couch Potato, and here’s what he came up with:

Canadian equity |
||

Horizons BetaPro S&P/TSX 60 Bull+ (HXU) | 7.49% | |

Horizons BetaPro S&P/TSX 60 Inverse ETF (HIX) | 12.51% | |

US equity |
||

ProShares UltraPro S&P 500 (UPRO) | 5.12% | |

Horizons BetaPro S&P 500® Inverse ETF (HIU) | 14.88% | |

International equity |
||

iPath Long Enhanced MSCI EAFE (MFLA) | 7.49% | |

ProShares Short MSCI EAFE (EFZ) | 12.51% | |

Canadian fixed income |
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iShares DEX Universe Bond Index Fund (XBB) | 21.08% | |

Claymore Inverse 10 Yr Gov’t Bond ETF (CIB) | 18.92% | |

The Canadian and international equity components use double-leveraged ETFs, and Sheldon found the sweet spot to be a 7.49% leveraged long position, paired with a 12.51% inverse position, for a total of 20%. The US holdings use a triple-leveraged ETF, which therefore requires only a 5.12% allocation offset by a 14.88% inverse holding, also adding up to 20%.

To construct the 40% fixed income side, things got more challenging. With no leveraged bond fund available, Sheldon had to balance the iShares DEX Universe Bond Index Fund (XBB) with the Claymore Inverse 10 Yr Government Bond ETF (CIB). In this case, the incremental alpha comes from the fact that XBB’s holdings have an average maturity of 9.5 years, whereas CIB is pegged to the 10-year bond. “It’s not perfect,” he said, “but you have to make do with what you have available. I’m like the MacGyver of portfolio construction.”

### The results

When Sheldon compared the backtested performance of the QA portfolio with the regular Global Couch Potato over the last five years, and the results were remarkable. The QA portfolio (red line) produced a total return of 146.63%, or 19.79% annualized, with minimal volatility. The Global Couch Potato, meanwhile, was slightly negative over this period:

### A note of caution

As exciting as these results appear, I caution investors to consider the following before deciding whether the QA strategy is right for you:

- This is a sophisticated strategy that requires a profound inability to understand mathematics. Make sure you have a sufficient level of innumeracy before you try it.

- Like all arbitrate strategies, this opportunity may disappear if too many investors use it. If you decide to adopt the QA strategy, don’t tell anyone else.

- No investing strategy comes without risk of catastrophic loss. You should only use this strategy with money that you will never need—preferably other people’s money.

- Leveraged and inverse ETFs pay no yield, so the strategy may not be appropriate for dividend investors.

- Start and end dates can have a dramatic effect on performance. This strategy is only effective on April 1.

I think similar principles can be used to make a perpetual motion machine and to square the circle.

You made me look! Thanks for this, very good.

@Michael: With all due respect, I think you just don’t understand the math. It’s pretty complicated.

Hahaha; pretty good. Reminds me of your stunt last year.

Cheers!

I’m glad that I was already holding VEA and XBB. It only cost me 60 bucks to set this up. Thanks for the great article Dan please keep them coming.

Made me look. If only this and Westjet’s Kargo Kids were for real!

Thanks for all the information.

How often do you need to rebalance?

Damn. It’s a joke! I already bought $100K of this strategy on Asian markets!

Gah, you got me !!

@Sarah: For maximum effectiveness, you should rebalance every 15 minutes.

Scrap the dividends! But I’m glad you finally admitted there is a strategy that beats your Couch Potato… I was looking forward to seeing what you had on the agenda for today.

Cheers

The Dividend Ninja

Nice. I especially enjoyed “This is a sophisticated strategy that requires a profound inability to understand mathematics. “

Just out of curiosity, is the graph accurate, but with the labels reversed?

Man, you actually had me up until the Note of Caution section.

Good April Fools prank!

You should post the actual equity curve for this strategy. That would be a real eye-opener.

@Andrew D: I wish I could claim a 19% annual return for the Global Couch Potato! Actually, the red line is gold and the blue line is the S&P 500.

Maybe we should call this strategy “Quantitative Outrage”. Don’t tell the investment managers – they’ll want to jump in and ruin it for everyone :>)

Love the holding percentages to two decimal places – of key importance!

Brilliant Dan! My fav line “sufficient level of innumeracy “.

Your line of ” the inability to understand mathematics (profound none the less) was a clincher with me. Now what do you have planned for next year, maybe applying relativity to growing markets?

Keep up the great posts !

p.s. This wasn’t Sheldon from The Big Bang Theory?

@Superior John: I’m glad someone got my Sheldon reference.

You got me — good!

And then I laughed and laughed and laughed!

I guess that makes us Canadians very risk-adverse, if we can only employ double-leveraged ETFs.

Great one Dan.

Actually, I’ve recently found a hedge-fund manager that uses a quintuple-leveraged ETF for 99% of his U.S. holdings. Apparently he is killing the S&P 500 with it. I think the ticker is OMG but I’ll need to get back to you on that.

Mark

For the doubters out there, my strategy was so powerful that ishares decided to pull CIB from its offerings today following Dan’s publication of it. http://ca.ishares.com/content/en_ca/repository/resource/press_release/pr_2012_04_02a_en.pdf

I knew I should have kept quiet.

@Sheldon: I was wondering when you were going to reveal yourself. I have no doubt that the demise of CIB is due to abuse by quants like yourself.

By the way, Michael Lewis called and he wants to interview you for his next book.