Market Memory Myths: Sign Dependence Unveiled

Finance Published: February 12, 2013
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Why the Market's Memory Might Surprise You

Ever felt like the market has a collective case of amnesia? That today's news seems to have no impact on tomorrow's prices? Well, hold onto your hats because we're about to dive into an academic paper that might just challenge your perception of how markets remember – or forget.

The Tangled Web of Asset Returns

Peter Christoffersen and Francis Diebold from McGill University and the University of Pennsylvania untangled a web of three key phenomena in financial economics. First, there's conditional mean independence, which means an asset's returns don't vary based on available information. Then we have sign dependence, where the direction of returns can be predicted, opening doors for market timing. Lastly, volatility dependence: when asset returns' ups and downs seem to follow a pattern.

Volatility Drag: Not as Simple as It Seems

Now here's where it gets interesting. Christoffersen and Diebold argue that these phenomena aren't separate but interconnected. For instance, if expected returns are nonzero (which they usually are), volatility dependence produces sign dependence. So, expect to see sign dependence because we know there's volatility dependence out there.

Mean Independence: Not as Harmless as It Seems

We're conditioned to believe that asset returns aren't easily forecastable due to conditional mean independence. But Christoffersen and Diebold say this doesn't rule out sign dependence or market timing opportunities. In fact, they argue that signs are more predictable at intermediate return horizons – not very high-frequency (like daily) or very low-frequency (like annual).

Portfolio Implications: Opportunity Knocks

So, what does this mean for your portfolio? It suggests there might be profit in predicting the sign of returns, even if you can't forecast the actual magnitude. Consider the iShares 20+ Year Treasury Bond ETF (TLT), SPDR S&P 500 ETF Trust (SPYG), iPath US Treasury 10 Year Bear ETN (UBT), or United States Natural Gas Fund, LP (UNG). Sign dependence could open doors for profitable trading strategies.

But don't get too excited just yet. Remember, time-varying risk premia can still imply some degree of conditional mean predictability. Plus, there are transaction costs to consider.

Actionable Insight: Keep an Open Mind

So, what should you do with this information? Well, keep an open mind about market timing opportunities. Don't dismiss them out of hand because of conditional mean independence. Instead, focus on intermediate return horizons and explore sign dependence further.