Post
Topic
Board Speculation
Re: $500,000 per Bitcoin, baby. The math behind it.
by
BurtW
on 10/02/2017, 14:34:27 UTC
Even today (I mean right here, right now) with all the problems Bitcoin has (and there is plenty - such as it doesn't scale well) it's already superior to gold so I don't see a reason why it shouldn't be on par with gold.

No way.  This post (from very early in this thread) is a bit dated because we are now in the next era but the point is still valid:

We cannot/do not want to get to $500,000 per BTC any time soon.  Here is the math behind it:

https://bitcointalk.org/index.php?topic=694401.0

If BTC were to go to $500,000 in this era it would cause a catastrophic mining bubble:

   $500,000 x 25 = $12,500,000 per block = $75,000,000 per hour

   $75 million per hour would drive the mining to attempt to use 675 GW.  This is about 30% of all the power generated on the planet.

So, in order to keep our power consumption under about 2% of world wide power production, we cannot/do not want the price to get to $500,000 before era 6, which is about 2033 or so.

Using my previously derived formula for the power consumption:

P = (6(50/2e) + f)(x)(1 - g)/c [kW]

where:

x = exchange rate [USD/BTC]
e = era [0..32] (we are currently in era 1)
f = average fees per hour [BTC/hour]
c = cost of energy [USD/kWh]
g = average gross profit margin [unitless ratio]

we can look at the power consumption in each era assuming a price of $500,000 per BTC.

In order to make it simple I will make the following assumptions:

x = $500,000 per BTC
f = fees per hour will keep the coinbase above 6 BTC/hour (1 BTC/block) in all eras
c = $0.10 per kWh
g = 0.1 miner gross profit margin

Code:
    Original target      Subsidy    Est Fees  Power  % of total world
Era    starting year    BTC/block    BTC/hour     GW  power production
---  ---------------  -----------  ----------  -----  ----------------
  0             2009  50.00000000  0.00000000  1,350            58.41%
  1             2013  25.00000000  0.00000000    675            29.20%
  2             2017  12.50000000  0.00000000    337            14.60%
  3             2021   6.25000000  0.00000000    169             7.30%
  4             2025   3.12500000  0.00000000     84             3.65%
  5             2029   1.56250000  0.00000000     42             1.83%
  6             2033   0.78125000  1.31250000     27             1.17%
  7             2037   0.39062500  3.65625000     27             1.17%
  8             2041   0.19531250  4.82812500     27             1.17%
  9             2045   0.09765625  5.41406250     27             1.17%