The market is once again showing a classic picture: bitcoin's rally above the $80,000 mark this week has pulled Coinbase (NASDAQ: COIN) shares along with it. At the same time, investment bank Goldman Sachs has revised its price target for the crypto exchange's stock, raising it from $173 to $196.

This synchronized growth brings us back to a fundamental question that has remained relevant for several years: how strongly are the shares of a public crypto platform tied to the movement of the leading digital currency?

A moderate but steady connection

Unlike Strategy (formerly MicroStrategy), Coinbase does not hold bitcoin on its balance sheet. The exchange's main source of revenue is trading fees, so the logic is simple: the higher the BTC price, the more active the trading and the greater the platform's revenue. Accordingly, COIN quotes rise along with the market but fall when volumes decline.

My own observations of the charts confirm this dependence, but it is not as absolute as is commonly believed. According to data from portfolio analytics firm PortfoliosLab, the long-term correlation coefficient between COIN and bitcoin is 0.61 — a moderate level, not a rigid link.

It is telling that the behavior of other crypto-related stocks can differ significantly. For example, mining company shares do not always follow the dynamics of the leading cryptocurrency, which points to the specifics of their business models.

Volatility — a double-edged sword

The key difference between Coinbase shares and bitcoin lies in the scale of fluctuations. COIN's volatility over the long term is more than double that of BTC: about 20% versus 8.5%. This means that during growth periods, investors get amplified upside, but the risks when the trend reverses are also significantly higher.

In mid-August, we already saw the exchange's shares jump 9.5% in a day, then add another 8% after bitcoin settled above $70,000. This week, COIN traded in a range from $174.73 to $189.27 — the intraday spread exceeded 8%, confirming the asset's heightened sensitivity.

The flip side of the coin showed up in early August: since the start of the year, Coinbase shares had fallen about 36%, while bitcoin lost around 27%. This once again proves that despite the launch of new business lines, COIN shares still almost completely mirror BTC's trajectory, amplifying movements in both directions.

My expert view: for long-term investors, Coinbase is not so much a bet on the company itself as a leveraged play on bitcoin. Given the current upward momentum, the shares could continue their rally, but at the first correction in BTC, a deeper drop in COIN should be expected. Diversification here is not a luxury but a necessity.