The S&P 500 has a mean return on investment of about 10% a year. (It depends on the size of your window for the moving average, as of course the stock market will go down in recessions.) This is the return you'd expect on average from investing in an index fund.
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So do the portfolios of VCs have a positive exponential growth rate? i.e. do they have a systematic tendency to grow, or are they just exponentials of random walks? (which only make money on average because you exclude those which go broke).
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You can't know for sure, but you can do quick-and-dirty Z-tests to see if the firm's long-run IRR is outside a 95% confidence interval away from zero. My data is very incomplete but so far it looks like some firms meet this criterion and some don't.
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But I just made up the 95% confidence interval; investors are not necessarily foolish for investing in VCs that "can't reject the null hypothesis", especially if they invest in a diverse set of VCs that together have a mean growth rate >0.
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The basic overall conclusion is that VC’s as a class make about the same return you’d expect to compensate for their level of risk. This average includes a mix of VC track records, from “no better than coin flipping” to “way above-market returns.”
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Don't think this is right. If you have a martingale like flipping a coin and doubling/halving your money. Kelly says you should be indifferent between investing all in it and all in cash (zero return). But mixed investment will result in positive return with rebalancing.
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In the linked article, the optimal amount to invest in an asset is (mu-r)/sigma^2. If mu = r (if the asset has no higher an average rate of return than cash), this implies the optimal amount to invest is zero. What am I missing?
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