There are two ways to predict a new all time high.
First, from current all time high to a new all time high.
Second, from bottom of a bear market to a new all time high.
I would not go in details but generally with both methods, multipliers of growth from current ATH to new ATH or from bear market bottom to new all time high, actually decrease and become smaller from first cycle to a latest one.
Expect to see it continue to decrease more with future cycles.
Yup of course. Diminishing returns of a growing asset. Bitcoin can keep going up forever, but its rate of growth will fall drastically as adoption occurs because there are infinite people with new money to keep coming in.
Going by peaks:
1. 2011 high to 2013 high was about 36x (shorter time period because this was first halving so pre-2012 didn't follow 4 year cycle)
2. 2013 high to 2017 high was about 18x
3. 2017 high to 2021 high was about 3.5x
4. 2021 high to 2025 high should probably be around 2x, on the low end maybe like 1.75x, on the high end maybe 2.5x
Going by the peaks, #2 growth was half #1 growth, but then #3 dropped to only a fifth of #2 growth. There was a fairly major crash in the middle of the bull run for #3 though that definitely kept the peak that cycle much lower than people expected. Given that, I'd expect this bull run (#4) to deliver at absolute minimum half of #3, which would be 1.75x and as stated above that is what I would put as a lower bound, which in dollars is $120k.
Going by bottom to top of market cycle:
1. late 2011 low (I think this was two dollars) to 2013 high was about 500-600x
2. 2015 low (I'm saying $200, I think it did very briefly dump to like $150 or something but the consistent bottom was $200) to 2017 high was 100x
3. 2019 low to 2021 high was 22x
4. 2022 low (~$15.6k) to 2025 high, well going off the above estimate of roughly 2x (~$140k) this would end up being about 9x, give or take a couple x's
Going by bottom to top of market cycle, #2 was a fifth or a sixth as large as #1, #3 was just over a fifth as large as #2, so it each market cycle shrinks by 5x successively. But that would mean this cycle would only 4.4x over the bottom, which would be a price of...$69k haha, only matching last cycle's peak. Obviously that is an absurd statement so the trend of successive market cycle growth being a fifth of the previous one is a very bad prediction for the future.
With only three data points making assumption based off trends has a lot of error. And given that the first data point wasn't during the first halving, and therefore wasn't even its own four year cycle and was very early in bitcoin's journey so price was extremely volatile, we can't put much weight on the one-fifth or one-sixth change from #1 to #2. And given, as stated above, the last market cycle's bull run got interrupted with a crash which resulted in a fairly small bull run, the ~1/5th change from #2 to #3 would also be an outlier. If we could correct these numbers with more data, I think likely #1 and #3 would fall towards the 100x of #2. This is all supposition, but perhaps, corrected, the numbers would be more like let's say 300x for #1 and >30x for #3. forming a 1/3rd trend instead of a 1/5th trend. Which would put this market cycle to be predicted at 22x * 1/3 = 7.3x, or ~$115k peak. Still lower than the prediction going peak to peak.
If we average peak to peak's range that I gave of 1.75x ($120k) to 2.5x ($172k) and this lower $115k, we get a $136k average. Which feels like a fairly good prediction, and would be almost perfectly 2x from the previous peak.
But that's all just playing with numbers. If ETFs pick up over a million bitcoin and major tech companies finally decide to start buying bitcoin and uninformed new money doesn't make the mistake again of throwing cash at useless meme tokens cuz a billionaire was messing with them and instead they buy Bitcoin, well price could go much higher than that. Then again if the public is so jaded in their view of bitcoin because of the years of misinformation they've heard about it, so that the public mostly doesn't even jump in during a bull market anymore, then we could get a peak on the lower end like $110k-$120k, but I guess the upside of that would mean a likely much more shallow crash that bitcoin is used to because it would specifically mean a ton of new and excitable and easily dumped money did not flow in so things wouldn't crash nearly so hard.