Of course, if a catastrophic scenario unfolds and Bitcoin gets replaced we would not be talking about the same thing anymore, so it’s futile to calculate EV. The point is only that Class (4) is ruled out. We might also agree that Class (5) should be ignored for the purposes of conservative valuation. So our question becomes one of giving decent estimates for what counts as Class (3), and of assigning respective probabilities.
With this in mind, let’s look at a simplistic scenario that strays as little as possible from rpietila’s original analysis, but gives (admittedly arbitrary) finer grained possibilities for the qualified success case than oda.krell contemplates, and no moonshot.
At the low end of qualified success would be, let’s say, ATH = $1200/BTC.
The high end of qualified success might be defined as: total market cap of BTC equal to half current market cap of AAPL (largest publicly traded company) = $740B/2 = $370B. Since there will be ~18M BTC in circulation in 2020, this gives us ~ $20,500/BTC. Such a capitalization after 11 years would count as successful, but is neither world-conquering nor in some sense completely out of the ordinary (Google went from 0 to $400B in 15 years, although of course this is a different type of case).
Let’s take a third point at the average between the previous two: $10,850/BTC, and assign equal probabilities to each of the three.
The scenario, then, is:
1. ($50) = 25%
2. ($500) = 25%
3a. ($1,200) = 17%
3b. ($10,850) = 17%
3c. ($20,500) = 16%
50*0.25+500*0.25+1,200*0.17+10,850*0.17+20,500*0.16 = $5,466/BTC EV. That’s ~ 23x current price.
A more conservative variation would be to assign 0.25 probability to being at ATH in 5 years, and split the remaining 1/4 for the other two points. We might also lower the value of a coin in the worse case scenario to a merely symbolic $1.
1. ($1) = 25%
2. ($500) = 25%
3a. ($1,200) = 25%
3b. ($10,850) = 12.5%
3c. ($20,500) = 12.5%
1*0.25+500*0.25+1,200*0.25+10,850*0.125+20,500*0.125 = $4,344/BTC EV. That’s ~ 18x current price.
Very interesting post. I like the argument for/against some of the distribution classes.
In detail, I personally would consider slightly lower network valuations as sufficient to call it a "qualified success", in case the ledger function will be picked up widely, but only to the point where the network doesn't need to be secured by ultra high valuations. Practically, even with a network valued at just a few billion USD (and with the respective mining hardware behind such a valuation), nobody other than a few state actors can hope to brute force attack the network, which might be "good enough".
By the way, my EV calculations are intended to be: "EV per unit of Bitcoin, or an alternative cryptocurrency replacing Bitcoin in a manner that will be foreseeable to those who saw the value of Bitcoin in the first place".
I arrive at my "conservative" $2290 value for the qualified success scenario - a factor 10 increase - by the following (crude) approximation:
10$ 5%
50$ 10%
500$ 21%
1000$ 26%
2000$ 21%
5000$ 10%
10000$ 5%
50000$ 1%