"The warrant hedge may offer high expectation with low risk. The gain per unit g_f is g_f = [(S_f+S_0)+mW_0]/(\alpha S_0 + \beta mW_0) when S_f\leq E and g_f = [(S_f-S_0)+m(W_0+E-S_f)]/(\alpha S_0 + \beta mW_0) if S_f > E. The gain per unit depends only on the random variable S_f. This has an unknown"