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I have about 20 000 usd. How can invest them to do good in the world?
In the UK, one quirky option in this area (OK, admittedly it's not a passive) is the "Battle Against Cancer Investment Trust" (BACIT).  Launched in 2012, it's basically a fund-of-funds where the funds held charge zero management charges or performance fees to the trust, but the trust then donates 1% of NAV to charity each year (half to cancer research, investors decide the other half).