The war with Iran has cost the United States at least $38 billion through the end of July and is expected to further push inflation higher for American households, according to a nonpartisan Congressional Budget Office assessment released Tuesday. ↧ Iran war costs $38 billion as CBO warns of higher inflation, deplet... The war with Iran has cost the US at least $38B through the end of July and is expected to further push inflation higher, according to a nonpartisan CBO assessment.