"The EIB could have taken a hit [from the emissions scandal] because we have to fulfil certain climate targets with our loans," the German Sueddeutsche Zeitung newspaper quoted Hoyer as saying in an article published today.
The EIB will conduct "very thorough investigations" into what VW used the funds for, the paper quoted Hoyer as saying on the sidelines of an International Monetary Fund meeting in Lima, Peru.
If it finds that the funds were used for purposes other than intended, the EU bank will have to "ask ourselves whether we have to demand loans back," he said.
Europe's largest carmaker has admitted cheating in diesel emissions tests in the U.S. and Germany's transport minister says it also manipulated them in Europe, where VW sells about 40 percent of its vehicles.
The EIB has granted loans worth around 4.6 billion euros ($5.2 billion) to Volkswagen since 1990, among other for the development of engines with lower emissions and manufacturing sites in South America, according to the report.
Of that figure, around 1.8 billion euros are still outstanding, the paper said.
Hoyer also said he was "very disappointed" by Volkswagen, adding the EIB's relationship with the carmaker would be greatly damaged by the scandal.
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