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According to the captions of the first Thor movie, the battle between the Jotuns and Asgardians take place in Norway, 965 AD. Around this time, Loki was born.
In Thor 2 the life expectancy was stated to be around 5,000. The average human life in developed countries from what I’ve gathered is approximately 82.
Therefore, in human years Loki is somewhere around 17.
…this is actually ridiculously useful for character analysis.
This works only if the time it took him to grow up is scaled as well, but there are lots of ridiculously long lived creatures with a pretty short adolescence. Personally I feel a thousand years of adolescence is a bit much anyway.