Flight instructor reported they took evasive action to avoid mid air collision while on go-around.

Attributes
ACN	1599981
Time
Date	201812
Local Time Of Day	1201-1800
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Flight Conditions	VMC
Light	Daylight
Aircraft 1
Make Model Name	Skyhawk 172/Cutlass 172
Operating Under FAR Part	Part 91
Flight Phase	Landing
Route In Use	Visual Approach
Flight Plan	None
Person 1
Function	Instructor Pilot Not Flying
Qualification	Flight Crew Commercial Flight Crew Flight Instructor Flight Crew Instrument Flight Crew Multiengine
Experience	Flight Crew Last 90 Days 80 Flight Crew Total 600
Events
Anomaly	Conflict NMAC
Miss Distance	Horizontal 0 Vertical 100

Narrative:

We were cleared for the option number 2 behind another C172. King air failed to contact tower promptly at hand off from center; claimed they were given the wrong frequency. We; myself and the student; didn't see the king air when we turned final. Would have been at our 3 o'clock.as aircraft on the runway in front of us missed taxiway; tower instructed us to go around. After we initiated the go around we were instructed to stay low as king air was behind/above us. We never saw the king air until we were cleared to climb up to pattern altitude and the king air had landed after making a left turn to base and final.observer on the ground estimated clearance less than 100 feet.

Original NASA ASRS Text

Title: Flight instructor reported they took evasive action to avoid mid air collision while on go-around.

Narrative: We were cleared for the option number 2 behind another C172. King Air failed to contact Tower promptly at hand off from Center; claimed they were given the wrong frequency. We; myself and the student; didn't see the King Air when we turned final. Would have been at our 3 o'clock.As aircraft on the runway in front of us missed Taxiway; Tower instructed us to go around. After we initiated the go around we were instructed to stay low as King Air was behind/above us. We never saw the King Air until we were cleared to climb up to pattern altitude and the King Air had landed after making a left turn to base and final.Observer on the ground estimated clearance less than 100 feet.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.