  In this paper, we consider the drawdown and drawup of the fractional Brownian
motion with trend, which corresponds to the logarithm of geometric fractional
Brownian motion representing the stock price in financial market. We derive the
asymptotics of tail probabilities of the maximum drawdown and maximum drawup as
the threshold goes to infinity, respectively. It turns out that the extremes of
drawdown leads to new scenarios of asymptotics depending on Hurst index of
fractional Brownian motion.
