> Since they were able to invest only the premium paid in, I don't see why this isn't a useful metric. If they return 4000% on every dollar I give them but I only choose to give them 1% of my wealth, then the lower aggregate returns are on me.
I feel there's a misunderstanding of what Universa is and this keeps confusing people.
Universa is not an alpha fund. You don't give money to Universa with the aim that they'll generate steady income, or even any income. They are basically an insurance product. If nothing happens for 10 years, they'll just steadily lose money (this is expected) in the form of the premium. In fact, in absence of market crashes, the expected value of Universa is negative.
>Dividing by a higher notional amount would be justified if the Universea funds could cause investors to lose more than their initial investment, in the same way that futures contracts have a notional value far in excess of their face value. However, I do not think the Universea funds work in this way.
That's not at all how you think of a tail protection fund like Universa.
The premium is just a constraint, not a risk metric. Say your portfolio makes 10% a year and you are willing to invest 1% of that in protection. That 1% premium spending is your constraint, nothing more. But your risk metric is the capital that you wish to insure, not the premium. It then follows that you should calculate the Universa return as a % of the capital you want to protect, not the premium you spend to protect it.
Exmaple: you have assets worth $100 and you want to spend $1 on protection (Universa). You determine that in a 2020 style market stress event you'd be expected to suffer a 20% drawdown. Beyond protection efficiency analyses, you really don't care what your return on premium is, you care that for the 1% premium spent, your protection is expected to earn enough as a % of your assets that your total drawdowns become manageable. The premium just puts a ceiling on the overall insurance level you can afford for your portfolio, but again for this you need to think in terms of % return of your portfolio value.