Emission Schedule
The emission schedule outlines the planned distribution of PRYSM tokens over time, starting from the genesis of the blockchain. It plays a crucial role in determining the rate at which new tokens are minted and introduced into circulation.
Starting Supply and Inflation:
PRYSM launches with a starting supply of 500 million tokens with an inflation rate of 5% per year.
Total Emission:
To calculate the total emission of PRYSM tokens, we can use the formula for compound interest:
Total Emission = Starting Supply * (1 + Inflation Rate) ^ Number of Years
Substituting the given values:
Total Emission = 500 million * (1 + 0.05) ^ Number of Years
Time to Reach 1,000,000,000 Tokens:
To determine how long it will take for the total emission to reach 1,000,000,000 tokens, we need to solve for the number of years:
1,000,000,000 = 500 million * (1 + 0.05) ^ Number of Years
Dividing both sides by 500 million:
2 = (1 + 0.05) ^ Number of Years
Taking the logarithm of both sides:
log(2) = Number of Years * log(1.05)
Number of Years = log(2) / log(1.05)
Calculating the result:
Number of Years ≈ 13.86 years
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