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Statistiche › Rendimenti di lungo periodo › Stocks over the long run

Equity variance per year is 45 per cent higher over thirty years than over one

OrizzontePredictive variance per year against one year
Dieci annihigher than one year, no figure published
Venti annino figure published
Thirty yearsabout 45% above
Fifty yearsabout 80% above
The same under an alternative specification1.4 to 1.5 times

Predictive variance per year for an investor who does not know the true parameters of the return process, relative to the one year horizon, on 206 years of annual real returns from 1802 to 2007 with a quarterly robustness sample from 1952 to 2006. The paper publishes exact figures only at thirty and fifty years. It reports a 63 per cent posterior probability that the true thirty year unconditional variance ratio is below one and a 76 per cent probability for the conditional version.

On 206 years of annual data, the realised thirty year variance ratio is 0.28, which looks like equities getting safer with horizon. The forward looking variance an investor faces, who does not know the true parameters, is 45 per cent higher.

0.28, Monte Carlo p = 0.01Realised thirty year variance ratio
about 45% above the one year figurePredictive variance per year at thirty years
about 80% aboveAt fifty years
about 6Independent thirty year windows in the sample

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