Before revision:  For any spectrally negative L\'evy process whose scale functions are well-behaved at 0+, we then study the asymptotics of drawdown quantities when the threshold of drawdown magnitude approaches zero.
After revision:  For any spectrally negative L\'{e process whose scale functions are well-behaved at 0+, we then study the asymptotics of drawdown quantities when the threshold of drawdown magnitude approaches zero.