Brace For A Stock Market  Accident
 Profits and leverage are locked in a deadly embrace
 
There is a time-honoured tradition in statistics: whipping the data until  they confess. Bullish and bearish equity analysts are equally guilty of this  practice.
 
It would seem that statistical conclusions are merely an ex-post  justification of a long-held prior belief about equity markets being cheap or  overpriced. Clearly, consensus, notably among sellside analysts, is bullish. I  present the bullish view before discussing a bearish counterpoint.
 
Who can blame the equity bullish consensus? Earnings yields – a proxy for  real equity yields – stand at comfortably high levels. For example, the forward  earnings yield on the S&P 500 is 8.3 per cent.
 
Contrast real equity yields with real bond yields: with the US Consumer Price  Index at 1.7 per cent and the nominal Federal Reserve funds rate at 15 basis  points, real bond yields are at -1.55 per cent.
 
The difference between equity and bond yields – also known as the equity risk  premium – is therefore close to 10 per cent. This is way above the 4-5 per cent  premium required by investors to own equity, and therefore indicative of an  ultra-cheap equity market.
 
There are two reasons why this consensus is misguided. First, because it uses  dubious metrics. It is wiser to use a long-dated real bond yield because equity  is a long-dated asset.
 
And forward earnings yields are misleading for well-documented reasons:  analysts’ earnings consensus forecasts are known to be wildly optimistic; in a  bid for juicier equity and call option compensations, managers encourage their  accountants to inflate earnings numbers; and earnings are partially squandered  by managements as they seek to prioritise growth over profitability.
 
So it is probably a good idea to use dividend-based – as opposed to  earnings-based – equity valuation models. Unlike earnings, dividends do not  lie.
 
Second, because consensus disregards leverage. Profits and leverage are  linked (in a deadly embrace, it turns out). If deleveraging is yet to happen,  then earnings growth can only be headed south.
 
So what if you trust dividends more than forward earnings? In a simple  dividend discount model, the real equity yield is the sum of dividend yield and  real dividend growth. The S&P dividend yield is 2.15 per cent. The real  dividend growth has been historically 1.25 per cent.
 
The real 30-year yield is 0.4 per cent. Using these numbers, the equity risk  premium is now 3 per cent, less than the premium level deemed acceptable. But we  are not done yet, as we have not factored leverage into our equation.
 
Enter Michal Kalecki, a neo-Marxist economist who specialised in the study of  business cycles and effective demand. Mr Kalecki showed that profits were the  sum of investments and the change in leverage.
 
In the current environment, the implications of this equation are clear: in  G7 economies, total debt is at a record 410 per cent of GDP. And this is  excluding the net present value of social entitlements and healthcare  expenditures, which is larger than the total debt.
 
Because leverage stands at unsustainably high levels in advanced economies,  it should fall substantially over the long term, affecting profits  negatively.
 
It can be assumed conservatively that the total-debt-to-GDP ratio needs to  fall by 100 per cent before the debt position becomes sustainable in advanced  economies. This would bring the US back to 1995, when the profit-to-GDP ratio  was 45 per cent lower.
 
We can value the S&P under the following scenario: dividends fall by 45  per cent over a zero-growth period of 10 years. Then they resume their real  growth of 1.25 per cent per year. Again, assuming a real yield of 0.4 per cent  and a required risk premium of 4.5 per cent, fair market value is only one-third  of current market levels.
 
Leverage is hence the fly in the ointment, begging the obvious question: when  does the deleveraging take place? Answering this question is tantamount to  timing the next major bear market. It is, of course, futile to predict a date,  but as economist Herbert Stein used to say, if something cannot go on for ever,  it will stop.
 
It is increasingly obvious that governments will take no active step towards  deleveraging unless they are under the gun. But there are institutions and  mechanisms that will trigger deleveraging, namely: Basel III, the bond market,  default and, rarely, courageous politicians.
 
Inflation can also help delever, except in economies where social  entitlements are inflation-indexed.
 
In the short term, it is clear that central banks need to entertain the  illusion of viable stock market valuations by pulling rabbits from a hat. But as  high-powered money reaches ever higher levels, the probability of accidents  looms large.
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