In the Arithmetic of Risk, Hussman posted the above chart. I added the anecdotes regarding where we are. Here are some pertinent snips.​

At present, I view the market as a “broken parabola” – much the same as we observed for the Nikkei in 1990, the Nasdaq in 2000, or for those wishing a more recent example, Bitcoin since January.

Two features of the initial break from speculative bubbles are worth noting. First, the collapse of major bubbles is often preceded by the collapse of smaller bubbles representing “fringe” speculations. Those early wipeouts are canaries in the coalmine.

In July 2007, two Bear Stearns hedge funds heavily invested in sub-prime loans suddenly became nearly worthless. Yet that was nearly three months before the S&P 500 peaked in October, followed by a collapse that would take it down by more than 55%.

Observing the sudden collapses of fringe bubbles today, including inverse volatility funds and Bitcoin, my impression is that we’re actually seeing the early signs of risk-aversion and selectivity among investors. The speculation in Bitcoin, despite issues of scalability and breathtaking inefficiency, was striking enough. But the willingness of investors to short market volatility even at 9% was mathematically disturbing.

See, volatility is measured by the “standard deviation” of returns, which describes the spread of a bell curve, and can never become negative. Moreover, standard deviation is annualized by multiplying by the square root of time. An annual volatility of 9% implies a daily volatilty of about 0.6%, which is like saying that a 2% market decline should occur in fewer than 1 in 2000 trading sessions, when in fact they’ve historically occurred about 1 in 50.

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