Before revision: We derive analytic formulae which link \alpha, \nu and \rho parameters in Andreasen-Huge style SABR model to the ATM price and option prices at four equally spaced strikes on the sides of ATM. We give two applications. First, we give a characterisation for the SABR parameters in terms of  the swap rate forward probability density function.
After revision: We derive analytic formulae which link \alpha, \nu and \rho parameters in Andreasen-Huge style SABR model to the ATM price and option prices at four strikes close to ATM. Based on these formulae we give a characterisation for the SABR parameters in terms of the swap rate forward probability density function.