Backdrop3: 2024–09–01 ~ The reason for this is that only when BTC rises can altcoins potentially achieve greater excess returns. I. Profitability Regarding profitability, LUCIDA focuses not only on whether a currency can rise, but also on how much it can rise. Therefore, LUCIDA will evaluate each exchange's ability to create wealth from five aspects.
1. Statistics of the range of increase
2. The proportion of coins whose absolute returns outperformed BTC on different CEXs
3. The proportion of coins whose increase exceeded 500% on different CEXs to the total number of coins listed on the exchange
4. Logarithmic average return rate and descriptive statistics of all listed coins on different CEXs
5. Probability density of all listed coins on different CEXs
Let’s start with “1. Statistics of the range of increase”
1. Statistics of the range of increase
For fair comparison, LUCIDA divides the market trends of the past two years into three stages (called Backdrop 1, 2, and 3). Backdrop 1 is The period for Backdrop2 is from January 1, 2023, to May 6, 2023; Backdrop2 is from October 1, 2023, to April 1, 2024; and Backdrop3 is from September 1, 2024, to July 23, 2025. Each phase represents a core period of BTC's growth. The principle is that only when BTC rises can altcoins have the opportunity to achieve greater excess returns.
For each phase, LUCIDA calculated the yields of all coins on various exchanges. The following formula is used to calculate the yield of a single currency:

Where Ri represents the yield of the i-th currency within the interval; Phigh and Plow represent the highest and lowest prices, respectively, after processing (time series have order issues and require date calibration).
Then compare: Which exchanges have seen the most significant price increases? Which exchanges have the most "dark horse coins"? The results are intuitive: there are significant differences between different exchanges. 2. The proportion of coins whose absolute returns outperformed BTC on different CEXs LUCIDA uses the following formula to calculate this evaluation indicator:

Wherein, NRi>RBTC represents the number of cryptocurrencies whose increase exceeds BTC on the exchange, and Ncex represents the total number of cryptocurrencies listed on the exchange.
Backdrop 1 data example:
Binance: 93/323 (28.79%)
OKX: 66/216 (30.7%)
Bitget: 98/313 (31.31%)
Gate: 223/1163 (19.1%)
MEXC: 123/537 (22.9%)
Bybit: 40/188 (21.28%)
KuCoin: 79/427 (18.5%)
Phase performance ranking:
Backdrop 1: Bitget > OKX > Binance > MEXC > Bybit > Gate > KuCoin
Backdrop 2: OKX > Binance > Bybit > Bitget > KuCoin > MEXC > Gate
Backdrop 3: MEXC > Bybit > KuCoin > Gate > Binance > Bitget > OKX

Among them, NRi>500% represents the number of cryptocurrencies listed on the exchange with an increase of more than 500%, and Ncex represents the total number of cryptocurrencies listed on the exchange.
Through calculation, the results are shown in the following table:

Performance ranking by stage:
Backdrop 1: MEXC > Gate > OKX > Bitget > KuCoin > Binance > Bybit
Backdrop 2: OKX > Bybit > Bitget > KuCoin > Binance > Gate > MEXC
Backdrop 3: MEXC > KuCoin > Bybit > Gate > Bitget > Binance > OKX
Summary:
If you're a risk-taker seeking extreme returns and aren't afraid of high risk, exchanges like MEXC, Gate, and KuCoin, which utilize a "sea of coins" strategy (i.e., listing a large number of high-yield, high-risk coins), may offer more opportunities for your assets to explode.
4. Logarithmic Average Return and Descriptive Statistics of All Listed Coins on Different CEXs
The average return is a good indicator for evaluating the return performance of coins on an exchange from a macro perspective. To avoid the asymmetry of conventional returns (theoretically, there's no upper limit to growth, but a lower limit to decline), LUCIDA uses logarithmic returns to describe the distribution of coins. The specific calculation formula is as follows:

ln(Ri) represents the logarithmic return of a single currency on the exchange in a certain backdrop, and Ncex represents the total number of currencies listed on the exchange.
The following figure shows the statistical results:

From the perspective of the logarithmic average return, the performance differences between exchanges are further clarified:
"High Upper Limit Potential": The logarithmic return distribution of the currencies on KUCOIN, Gate, and MEXC shows significant "upper limit potential", which means that the currencies on these exchanges are more likely to experience "breakthrough increases."
"Mean and Median Double Excellence": Bybit and MEXC have relatively better performance in terms of the mean and median of logarithmic return, indicating that the overall return level of the currencies on their platforms is more prominent and the distribution is more balanced.
Summary: Overall, the returns and risks of cryptocurrency trading are highly tied to each other, and the market environment is a key variable. Judging from more scientific indicators such as logarithmic return, the profitability of different exchanges is clearly differentiated. Investors need to choose prudently based on their own risk preferences and market judgment. 5. Probability Density of All Listed Tokens on Different CEXs To assess returns at a more macro level, LUCIDA uses the logarithmic mean return rate. To reveal more microscopic distribution characteristics, LUCIDA plots the probability density distribution of the return rates of tokens on each exchange (using Backdrop 1 as an example).

BINANCE

OKX

Bitget

Gate
