Inductance in Power cords
There will be a small inductance created by wrapping up a cord in a loop, but the effect will be negligible.  There are two reasons for this.  First, the inductance will be so small that the effect at power line frequency is negligible.  Second, power cords carry both the supply and return so the overall current flowing through the wire is zero, making the impact of any parasitic inductance negligible.  Now, if you took 1000 ft. of wire for your hot and neutral and wrapped them up separately, you would definitely see some effects.