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  1. #1
    Player
    Obsidian's Avatar
    Join Date
    Aug 2011
    Posts
    19
    Character
    Lowen Lochlan
    World
    Balmung
    Main Class
    Gladiator Lv 50

    Price decay of 14% per six hours doesn't work out? Nor does 0.14% per six hours.

    End value = starting value * (1 - b)^x, where b is the percent decrease and X is the period of time. We want to solve for b. This is the formula for exponential decay.

    3,698,000 = 8,000,000(1 - b)^90
    0.46255 = (1 - b)^90, now we take the 90th root of both sides.
    0.991462768 = 1 - b, now rearrange the equation to isolate b.
    b = 1 - 0.991462768

    b = 0.008537232, which = 0.8537232% per day. Divide this by 24 then multiply by six for the decrease every 6 hours.

    b = 0.2134308% every six hours.

    So according to their numbers, it's actually decreasing by ~0.21% every six hours, not the 0.14% they probably meant to say. Maybe someone can check my math, I posted this from my phone.

    For completeness' sake, if we use the 14% they provided and plug it into the formula, we need to tweak the time a little bit. 90 days x 24 hours = 2,160 hours, divide by 6 to get 360 decays. This will be our x.

    M = 8,000,000(1 - 0.14)^360

    M = 2.10 * 10^-17, which is obviously WAY off. If we assume they meant 0.14% every six hours, we'll end up with...

    M = 8,000,000(1 - 0.0014)^360
    M = 4,831,168.733, which is a lot closer to their stated value, but still wrong.

    Can we get some clarification on what the actual rate of decay is?

    Edit: Apparently it decays linearly based on the original price and not exponentially. That's pretty poorly worded in the patch notes, methinks.
    (2)
    Last edited by Obsidian; 12-15-2013 at 05:57 AM.