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Alsadius comments on Harry Potter and the Methods of Rationality discussion thread, part 14, chapter 82 - Less Wrong
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The approximate actuarial value placed on a human life is $6-8 million. Even after inflation, this seems somewhat cheap(assuming that she would literally die, and not merely be traumatized and sidelined for a decade).
Dumbledore says her mind wouldn't take the strain. To be entirely honest, I doubt he's exaggerating. If Hermione came out of Azkaban alive (yes, if), I'd put her chances of still being sane or curably insane at <10%.
True, but I figured I'd stick the qualifier in anyways, for the sake of precision.
(It should also be noted that a young person who's ruined for life may actually be worth more than a dead person, since a dead person doesn't need to be cared for for the next several decades).