Template talk:ESO Gold

Formula(s)

I brought this up in the Discord server the other day and wanted to follow up on what I'd found. For some context, I learned that we don't actually know the formula used by ZeniMax to calculate these points. I figured that I had nothing better to do with my time and plotted the data, only to discover that it was actually two linear correlations (intercepting between levels 15–16), rather than one single line/curve. A couple parts of each otherwise-linear line look a bit wiggly, which Lurlock suggested was a rounding error (which makes perfect sense, because some of the known gold values do not divide evenly).

Anyway, from there it wasn't difficult to find the slopes of each line, as well as their Y-intercepts (the gold amounts at the first point of each line) to put in the formula. I then applied a multiplier to that entire thing. Due to the error introduced with the rounding, the slopes I calculated were technically slightly off, but they were close enough that I could round them to what I inferred were the intended slopes for each line. The end result is this, where "PC" refers to the player character's level, and "Multiplier" refers to the quest's known difficulty multiplier:

Level 3–15: (((PC-3)×8)+73)×Multiplier
Level 16–50: (((PC-16)×4)+169)×Multiplier

Since the lines don't start at level 0, I also took that into account in the formula (hence the -3 and -16). One thing to note is that, due to the rounding errors associated with the data, some of the calculated values do not quite line up with their respective known values. For instance, the calculated value for level 4 at CON_TRIVIAL (very low) is 20.25 gold, compared to the known value of 21 gold. Naturally, the delta between the two values will be higher if you use higher multipliers. Regardless, I thought some folks here would be interested in the formulas, so there you go. For more info check this page as well. —Atvelonis (talk) 23:10, 5 July 2018 (UTC)