Call of the Haunted Question

The situation:
Assuming I have a face-down Call of the Haunted and a Exiled Force in my Graveyard, while my opponent controls a monster.
I Activate my Call of the Haunted and target my Exiled Force to special summon it. Then I activate it's effect targeting my opponent's monster (He's doesn't activate nothing in response).
The Question:
By the time Exiled Force effect resolves, does Call of the Haunted last effect (When that monster is destroyed, destroy this card.) triggers or does it stays on the field?

It stays, since you Tribute Exiled Force.

Thanks for the help. I kinda knew how it worked but couldn't find any official documentation on it, so I really apreciate the anwser.