Log-Normal Price Distribution

Application

The Log-Normal Price Distribution frequently models asset prices in cryptocurrency markets, offering a more realistic representation of price behavior than the normal distribution due to its inherent skewness and positive asymmetry. This distribution acknowledges the bounded nature of price floors—prices cannot fall below zero—and better reflects the observed frequency of large positive price movements relative to large negative ones, a common characteristic in volatile crypto assets. Consequently, it is integral to derivative pricing, particularly for options, where assumptions about underlying asset price distributions directly impact calculated fair values and risk assessments. Its use extends to volatility modeling, informing strategies for managing exposure and constructing portfolios within the digital asset space.