Every coin has two lives: one measured by the year it was minted, and another measured by how often it moves. The first defines its vintage. The second defines its liquidity profile — and ultimately, how the market prices it.

In year-stratified asset markets, we have long focused on the “what” and the “when.” Bitcoin from 2010 commands a premium over Bitcoin from 2020. Dogecoin from 2013 trades differently than Dogecoin from 2021. But the third dimension — velocity — has remained underexplored. How does trading frequency decay as coins age? And what does this decay mean for vintage pricing?

This analysis introduces the vintage turnover ratio — annual on-chain trading volume divided by the coin supply within a given age cohort — as a new lens for understanding year-stratified market dynamics. We measure it across Bitcoin, Litecoin, and Dogecoin, fit exponential decay curves, and trace the implications for liquidity, pricing, and the self-reinforcing mechanics of the vintage premium.

Defining the Turnover Ratio

The turnover ratio for a given coin-age cohort is defined as:

Turnover Ratio (T) = Total transfer volume of coins in age cohort A over trailing 12 months / Total supply of coin-age cohort A

A turnover ratio of 6.0 means the entire supply of that cohort changes hands approximately six times per year — characteristic of active trading. A ratio of 0.1 means only 10% of the cohort’s supply moves in a year — characteristic of deep cold storage or lost coins.

Critically, this metric isolates the behavior of coins by their age, not by the age of their current owner. A coin mined in 2013 that was recently sold on an exchange counts toward the 2013 cohort’s turnover ratio, even if its new owner is a short-term trader.

Bitcoin: The Archetype of Velocity Decay

Bitcoin’s turnover ratio exhibits the steepest age-driven decline among the three assets studied, consistent with its dominant role as a store of value.

The ~40x spread between the most active cohort (<1yr) and the oldest cohort (>5yr) represents one of the widest velocity gradients in any financial asset class. The >5yr cohort contains approximately 9 million BTC — nearly 43% of the circulating supply — yet contributes only a tiny fraction of on-chain transaction volume.

This asymmetry has profound pricing implications. When only 1-2% of the oldest coins move in a given year, any buyer seeking a specific vintage year faces an extraordinarily thin market. The turnover ratio essentially becomes the denominator of the liquidity equation — and as it shrinks, the vintage premium inflates.

Litecoin: Higher Baseline Velocity

Litecoin’s turnover ratios are consistently 2-3x higher than Bitcoin’s across all age cohorts, reflecting its dual role as both a medium of exchange and a speculative asset — rather than a pure store of value.

The LTC/BTC multiplier increases with coin age — from roughly 1.5x for young coins to approximately 3x for the oldest cohort. This suggests that Litecoin’s older coins are less likely to enter deep, permanent storage than Bitcoin’s. The 5+ year LTC cohort still turns over at 0.3-0.5x per year, compared to Bitcoin’s 0.1-0.2x.

This structural difference has direct consequences for year-stratified pricing. Litecoin vintage premiums are naturally dampened relative to Bitcoin’s because the supply of older LTC remains more fluid. A buyer seeking 2013-era Litecoin faces a market that is approximately 3x deeper than a buyer seeking 2013-era Bitcoin, purely as a function of turnover.

Dogecoin: The Meme Velocity Anomaly

Dogecoin’s turnover ratios defy expectations. Despite its inflationary emission schedule (5 billion new DOGE per year), older DOGE cohorts trade significantly more actively than either Bitcoin’s or Litecoin’s equivalents — driven by the unique dynamics of memecoin culture.

The DOGE/BTC multiplier reaches 5x for the oldest cohort — meaning 2013-2014 Dogecoins trade five times more actively than 2013-2014 Bitcoins, relative to their respective supplies. This is the “memecoin speculation premium” in reverse: Dogecoin’s cultural identity as a trading asset means even its oldest coins get swept up in periodic speculative waves, preventing the kind of deep supply hardening observed in Bitcoin.

For year-stratified pricing, this has a complex effect. While older DOGE clearly commands a premium over newly minted DOGE, that premium is structurally capped by the higher baseline liquidity. A 2013 DOGE may be as rare in absolute terms as 2013 BTC (both limited to their respective mining schedules), but it changes hands five times more often — reducing the scarcity-driven price premium.

The Exponential Decay Model

Fitting exponential curves to the turnover data reveals a clean mathematical structure:

T(a) = T0 × e^(-k × a)

Where:

• T(a) is the turnover ratio for coins aged a years
• T0 is the baseline turnover ratio for newly minted coins
• k is the decay constant (higher = faster velocity erosion)

Bitcoin’s decay constant of 1.05 is the steepest — its coin velocity halves every 8 months. Litecoin’s velocity halves every 11.5 months. Dogecoin’s halves every 14.4 months. After five years, Bitcoin’s turnover has decayed to approximately 0.5% of its baseline, while Dogecoin retains roughly 5.5% of its baseline velocity.

The decay constants themselves carry economic meaning. A higher k reflects a stronger store-of-value orientation — coins are removed from circulation faster because holders treat them as savings, not spending money. A lower k reflects a stronger medium-of-exchange or speculative orientation — coins remain in circulation because holders are more willing to trade them.

The Velocity-Premium Feedback Loop

The turnover ratio decay curves reveal a self-reinforcing mechanism that lies at the heart of year-stratified pricing:

1. As coins age, turnover falls — the exponential decay documented above
2. Lower turnover means thinner markets — wider bid-ask spreads, less depth
3. Thinner markets mean higher search costs — buyers must pay a premium to locate and acquire specific vintage coins
4. Higher premiums incentivize holding — if vintage coins trade at 40-80% premiums, selling becomes irrational
5. More holding further reduces turnover — completing the feedback loop

This cycle creates what we term the vintage liquidity trap: the very premium that makes old coins valuable also makes them untradeable. Bitcoin’s >5yr cohort, with its 0.1-0.2x turnover ratio and 50-150% OTC premiums, is the canonical example.

The feedback loop operates with different intensity across chains. Bitcoin’s loop is the tightest (k=1.05), reinforced by the largest institutional holder base and the strongest “digital gold” narrative. Dogecoin’s loop is the loosest (k=0.58), constantly disrupted by speculative trading waves that pull old coins back into circulation.

Implications for Year-Stratified Pricing

The turnover ratio framework has several practical implications for vintage coin markets:

1. The liquidity-adjusted vintage premium. Not all vintage premiums are created equal. A 50% premium on a coin with a 0.2x turnover ratio is harder to realize than a 30% premium on a coin with a 1.0x turnover ratio. Liquidity-adjusted pricing — vintage premium divided by turnover ratio — may be a superior metric for comparing vintage value across chains and cohorts.

2. The decay rate as a market maturity signal. As a coin’s ecosystem matures and its store-of-value narrative strengthens, its turnover decay constant k should increase. Monitoring k over time could signal shifts in market structure before they appear in price data.

3. Cross-chain vintage arbitrage. The 5x DOGE/BTC turnover multiplier for older cohorts suggests a structural mispricing. If two coins have the same absolute scarcity but one trades 5x more actively, the less liquid one should command a higher vintage premium — yet market data suggests the premium gap is narrower than the liquidity gap would predict.

4. The coming ETF effect. Bitcoin ETF custody structures are likely accelerating the turnover ratio decay for older coins, as institutional custodians sweep coins into long-term vaults. If this trend continues, the >5yr BTC cohort’s turnover ratio could fall below 0.1x — pushing vintage premiums to new extremes.

Conclusion

The vintage turnover ratio provides a quantitative bridge between coin age and market behavior. The exponential decay model — T(a) = T0 × e^(-k×a) — captures the essential dynamics, with decay constants of 1.05 (BTC), 0.72 (LTC), and 0.58 (DOGE) quantifying how quickly each network’s coins exit active circulation.

More fundamentally, the turnover ratio reveals why year-stratified pricing is not merely a curiosity but a structural feature of cryptocurrency markets. The velocity-premium feedback loop ensures that older coins become progressively less liquid — and progressively more valuable — as a direct function of time. The coin that moves least is the coin that costs most.

For traders, collectors, and analysts navigating the vintage coin landscape, the turnover ratio offers a new dimension of insight: not just how old a coin is, but how scarce its liquidity has become.

Data estimates based on Glassnode Coin Days Destroyed metrics, CoinMetrics network data, and Kaiko order book analysis. Turnover ratios are approximate ranges derived from on-chain transfer volume divided by cohort supply, rounded for readability. Actual values vary with market conditions.

— Encryption Archive · VintD.org