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  • A friend sent me this and I’m wondering if anyone here can help. I don’t think it’s possible but would appreciate confirmation!

    If x = (1 - vn)/ä

    where:

    v = 1/(1 + i)

    and

    ä = ln(1 + i)

    Is there a way to write a formula for i in terms of n and x?

    Edit: just can’t see a way to free the i from the ln without locking the other up with an e…

  • Good question - I assume so. I think they are actuarial formulae and having given it a google, a appears to be the accumulated amount function where a(t)=(1+i)^t (which is basically compound interest I think?), except that doesn't lead to a"(t)= ln(1+i)... unless I'm being silly. I have asked.

    @hamrack Ah! I had tried a substitution but have never come across the Product Log function before. That is super interesting and v useful. Pretty sure numerical only would not be an issue here. Thanks!

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