Johan
Ex got M3 in the divorce, waiting for EU Model Y!
This is the right sort of idea. All the curves converge to the longterm price target, LTPT = $3740 @ T = 2025-12-31. So given discount D, then the corresponding BFPT at time t in days is
BFPT = LTPT * (1 + D)^((T - t)/365).
So this is an exponential curve that passes through the LTPT.
Now the way we get a representive distribution of discounts is to use recent historical prices and solve for D. This is the idea of implied discount, the level of dicount to the LTPT that the market price implies. Where P(t) is the closing price on trading day t, the implied discount is
ID(t) =(LTPT/P(t))^(365/(T - t)) - 1.
So it is helpful compute and plot ID(t) for recent history. I routinely look at 2 or more years. This charts the swings in sentiment. As implied discount goes down it is a bull run, and when implied discount increases it is a bear run. It is easy to compute percentiles of the historical distribution. I use quartiles to set representative levels. One thing to contemplate as you look at look at a chart of historical implied discounts is how this distrubtion might change over time. The average discount presently is about 29%. Will this drift over time? In what direction? Yes it wiil change and will likely shrink over time. But the premise of the BFPT method is that this change in distribution will be quite slow, so that projecting out over just a few years is reasonable guage of variabikity in sentiment. Moreover, if the general trend is declining, this implies a bullish direction. Thus, the bias in this method is conservative for shareholders, that is, the method will likely understate future price distributions. I should point out, however, that this drift is very slow and the volatilty due to shifts in sentiment is so overwhelming as to make drift ignorable.
I hope this helps you explore this approach and am delighted that you are taking such an interest in it.
It makes a lot of sense when you paint that mathematical picture. What stands out to me is how though any and every information you can extract from such a curve is that it is 100% dependent on the price target (hence the Blind Faith Price Target). Change the price target and all the bear/bull/implied discount information get changed.