Cough Up Meaning

(idiomatic, transitive, informal) to reluctantly or unwillingly give

Example: to expel from the lungs, throat, etc. by coughing
  He was coughing up blood.
(of money) to pay, disburse
  Do you think he'll be able to cough up the three grand by Tuesday?
(of other objects) to hand over, give
2013, The Big Bang Theory, season 6, episode 14:
  Cough it up, Cooper.