  We derive the implied volatility estimation formula in European power call
options pricing, where the payoff functions are in the form of
$V=(S^{\alpha}_T-K)^{+}$ and $V=(S^{\alpha}_T-K^{\alpha})^{+}$
($\alpha>0$)respectively. Using quadratic Taylor approximations, We develop the
computing formula of implied volatility in European power call option and
extend the traditional implied volatility formula of Charles J.Corrado, et al
(1996) to general power option pricing. And the Monte-Carlo simulations are
also given.
