Will the supply of PEPE tokens be reduced to less than 1 billion?
The total supply of Pepe (PEPE) tokens is 420.69 trillion. Currently, all of these tokens are circulating in the market, which means that there are a total of 420.69 trillion Pepe tokens available for trading
If 1% of the tokens are destroyed in each transaction, we can calculate the time it will take for the remaining supply to be reduced to less than 1 billion. Using the exponential decay formula, the remaining supply \( N_t \) after \( t \) days is calculated as follows:
\[ N_t = N_0 \times (0.99)^t \]
Where the initial supply \( N_0 \) is 420.69 trillion, set \( N_t \) less than 1 billion:
\[ 420.69 \times 10^{12} \times (0.99)^t <span \times 10^9 \]
Solve this inequality:
\[ (0.99)^t < \frac{1 \times 10^9}{420.69 \times 10^{12}} \]
\[ (0.99)^t <span \times 10^{-4} \]
Take the natural logarithm of both sides:
\[ t \ln(0.99) < \ln(2.38 \times 10^{-4}) \]
\[ t > \frac{\ln(2.38 \times 10^{-4})}{\ln(0.99)} \]
The calculation result is:
\[ t > \frac{-8.341}{-0.01005} \approx 830 \]
This means that under this condition, it will take about 830 days for the supply of PEPE tokens to be reduced to less than 1 billion.
Of course, this is only a theoretical calculation, and the actual situation will be affected by many factors, such as transaction frequency, user behavior, etc.
