This article characterizes optimal insurance policies under deterministic a
uditing in a situation where the policyholders can misrepresent their losse
s. Under exogenous audit cost, a straight deductible is optimal when the po
licyholders can inflate their claims by intentionally increasing the damage
s. If policyholders can manipulate the audit cost and the: insurer is unabl
e to observe the cost incurred by his or her auditor, then the auditor shou
ld receive contingent fees. When the auditor is risk-averse, the optimal in
surance policy involves some degree of coinsurance. An upper limit on cover
age is optimal when the auditor is infinitely risk-averse.