Post
Topic
Board Speculation
Re: $500,000 per Bitcoin, baby. The math behind it.
by
X7
on 03/08/2014, 17:00:01 UTC
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 $500,00 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%

It is silly to assume that by such a date we would not have much more efficient ways of powering this technology with the vast amount of money which IS being and WILL be poured into the infrastructure of maintaining this epic ecosystem.

2/10 for effort