ビットコインと金の乖離:パワー・ロー分析が$324K 平均回帰を示唆

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Source: CryptoNewsNet Original Title: Bitcoin is bleeding against gold’s record breakout but a “power law” slip hints at a $324k price snapback Original Link: I keep thinking about the kind of person who owns a little Bitcoin tucked away for the future, a little gold tucked away for the past.

They are usually calm people; they do not trade headlines, they do not care about the daily noise, and they just want something solid on both sides of the monetary fence. For years that felt sensible, because Bitcoin’s long arc against gold looked like a one-way street, more ounces over time, fewer regrets.

Then January happened.

Gold sprinted. Bitcoin did not.

Gold pushed toward record territory, flirting with $4,900 an ounce, fueled by the kind of anxiety that tends to show up when geopolitics gets weird, and bond markets start acting like they have a pulse of their own, as gold watchers noted this week.

Bitcoin, meanwhile, stayed stuck in a narrow band around $89,800.

That gap is the whole story.

The ratio that made people sit up

If you want one number to describe what’s different right now, it’s BTC priced in gold.

Take Bitcoin’s dollar price, divide it by gold’s dollar price per ounce, and you get how many ounces one BTC buys. When gold rockets and Bitcoin waits, that number falls fast.

That is why this chart is spreading, the “BTC/Gold power law” graphic, and why analysts like Plan C are calling it a historic deviation and hinting at a monster mean reversion.

BTC/Gold power law chart

The plain English version of that argument is simple. People who think in terms of models believe Bitcoin has a long-run “path” against gold, and that the market has wandered far below it. The more technical version is a power-law corridor with quantile bands, popularized in various forms by model builders and trackers, such as power-law dashboards.

Either way, the emotional punch lands the same. A lot of long-term Bitcoin holders have not had to watch gold “win” like this in a long time.

Why gold is doing what it’s doing

Gold is no longer moving like a sleepy hedge. Big banks are treating the move as something with legs.

Goldman Sachs just raised its end-of-2026 forecast to $5,400 an ounce, up from $4,900, pointing to a new wave of private demand and the steady pull from central banks.

One detail matters more than it sounds. Gold is doing this while real yields stay meaningfully positive. The 10 year TIPS yield was around 1.94% on January 22.

That’s not supposed to be ideal for a metal that pays no yield, yet it keeps climbing. When that happens, you usually learn that the buyer is not price-sensitive.

Bitcoin does not need a complicated explanation right now. It has been waiting.

Part of that wait shows up in flows. U.S.-listed spot Bitcoin ETFs saw about $1.1 billion in outflows over three trading days through January 8, and another $1.5 billion this week, wiping out the year’s early gains.

That does not mean institutions are “gone”; it means the marginal buyer has been fickle, and this market still depends on timing and mood more than gold does.

So Bitcoin stands there at $89,873, gold near $4,900, and the ratio looks like a trapdoor opening under the old narrative.

The trade everyone is quietly modeling

The easiest way to understand the mean reversion setup is to stop thinking in dollars for a second.

If gold stays around $4,900 and the BTC/Gold ratio climbs back toward the middle of the historical corridor that power law people expect, Bitcoin’s dollar price gets pulled upward almost automatically.

Here are the basic “if this, then that” numbers, using gold around $4,900 an ounce.

If the ratio sits near 18.5, Bitcoin stays roughly around $90,000; that’s the world we are in today.

If the ratio drifts up toward 35, Bitcoin lands around $171,000.

If the ratio reaches 45 to 60, Bitcoin lands around $220,000 to $294,000.

Gold price (USD/oz) BTC/Gold ratio (oz per BTC) Implied BTC price (USD) What this scenario implies
$4,900 18.5 $90,650 現状維持、BTCは現在の水準付近に留まる
$4,900 35 $171,500 「中間帯」スタイルの平均回帰
$4,900 45 $220,500 より強いスナップバック、金が維持しつつBTCが追いつく
$4,900 60 $294,000 上限への動き、「$200k–$300k」議論
$5,400 35 $189,000 金上昇、比率正常化、BTC価格も上昇
$5,400 60 $324,000 金上昇とともにBTC/Goldの平均回帰が激しく進行
BTC-0.08%
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