Before revision:  Therefore, the expectations under the distribution, such as cumulative distribution function and  option price, are accurately computed as weighted sums of those under normal distributions  .
After revision:  Therefore, the expectations under the distribution, such as cumulative distribution function and option price, are accurately computed as weighted sums of those under normal distributions . The random variates from the generalized hyperbolic distribution are also sampled in a straightforward manner. The accuracy of the methods is illustrated with numerical examples .