Think of the value of Bitcoin over time as the total value of the energy input in the mining network, divided by the subsidy + fees.

In general, if Bitcoin is $X that's because about $X * (times) the mining subsidy is being spent on all mining facilities combined, including staff/equipment/rent/energy costs, every 10 min globally.

This grows about 15% a year (the average growth seen from 2018 to 2024).

If we take the current mining cost of $90k per coin, then the value paid to the network by miners per Bitcoin block today is $281,250, by 2028 that will grow by 1.15^3 = 1.52.

1.52 * $312k = $427.5k per block.

Since the subsidy reduces to 1.5625 in 2028, that means $474k / 1.5625 = $273.6k per Bitcoin as far as production cost goes.

We can't forget to add in dollar debasement though, since they debase on average 6.8% a year, 1.068^3 = 1.22.

1.22 * $273.6k = $333.8k.

Jan 2028 Bitcoin will likely be worth around $333.8k or higher.

The current price is not $90k as it's a bit overvalued though, which makes sense as we're beginning a bull year which will end in a FOMO peak and FUD crash.

So just take the same number of $333.8k and multiply by 1.11, assuming the price is similarly over valued as it is today, and we find the estimated average mining cost in Jan 2028 will likely be $370.5k per Bitcoin.

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*estimated average PURCHASE cost in Jan 2028 will likely be $370.5k per Bitcoin.

Why did you happen to choose 2018-2024 for the CAGR?

If you follow the same equation to calculate the 2018 value using 2011-2017 would it find the 2018 average? What about 2015-2021 to find the 2022 Bitcoin Winter average?

Originally I just sat down in early November and sought a date that's more than 4 years ago that would not be over bought or over sold. 18 months after the halving Bitcoin is typically overbought, and exactly 12 months after the bull peak is typically over sold.

Since the halvings occurred in May 2020 and April 2024 I was trying to insolate this calculation from bottom and peak of each bull/bear period. I chose 6 years prior since it's a month prior to the ~$3500~ bottom of Dec 2018, and according to:

https://en.macromicro.me/charts/29435/bitcoin-production-total-cost

the price was very close to the mining cost at both points (November 2018/2024) and thus neither oversold or overbought.

My calculation for CAGR were based entirely on the hashrate rate of growth over that period of time divided by efficiency increases, tied to doubling of value of Bitcoin with each halving. When I plugged all the numbers in, also accounting for currency debasement, I found an approximate 95% correlation between expected price growth from the above calculations and what was actually observed.