Parking assist device (as amended)

A parking assist device capable of performing automatic pulling-in control to automatically operate a steering device to assist a vehicle to be pulled into a parking area and automatic pulling-out control to automatically operate the steering device to assist the vehicle to be pulled out of the parking area, the parking assist device comprising:

• a calculating section, wherein, when the automatic pulling-in control is started, the calculating section calculates a temperature increase amount ΔTi of the steering device caused by execution of the automatic pulling-in control and a temperature increase amount ΔTo of the steering device caused by execution of the automatic pulling-out control;
• and
• a control section, which
• based on a current temperature T of the steering device, the temperature increase amount ΔTi, and the temperature increase amount ΔTo, obtains a predicted temperature Tf2 of the steering device of a case in which the automatic pulling-out control is performed subsequent to execution of the automatic pulling-in control,
• permits the automatic pulling-in control to start if the predicted temperature Tf2 is less than an allowable upper limit Tm, and
• prohibits the automatic pulling-in control from starting if the predicted temperature Tf2 is higher than or equal to the allowable upper limit Tm.