There is a discussion going on about how climate change should influence central banking. The Veblen Institute and Positive Money Europe have published a study which shows that although the European Central Bank (ECB) has acknowledged its responsability, bonds issued by carbon intensive companies make up a large fraction of the corporate bonds held by the ECB.
You can find the report (in French) here.
Update 7 April 2019: for the English version, click here.