Formula to Calculate Compounded Percentage Per Year
PS.....
On Apr 21, 1:11*pm, I wrote:
=rate(365, 0, -1, 1+6%)
For the nitpickers, I might have added that alternatively, you can get
the same result with the following formula:
=(1 + 6%) ^ (1/365)
One advantage is: sometimes, Excel's RATE implementation returns an
error because it fails to compute the very small percentage without
our providing a "guess". (I would hope that happens only when the
"pmt" argument is zero. But I don't know.)
=fv(C2, B2 - A2, 0, -14000)
Likewise, this can be replace with the following equivalent formula:
=14000 * (1 + C2)^(B2-A2)
Ergo, the two can be reduced to the following:
=14000 * (1 + 6%)^((B2-A1) / 365)
Of course, the first original two formulas can be reduced to the
following:
=fv(rate(365, 0, -1, 1+6%), B2 - A2, 0, -14000)
Finally....
Note that this is valid even if the compounding frequency is not daily
because I am assuming that 6% is the effective annual rate based on
whatever the true compounding frequency is.
If that assumption is false -- if 6% is the annual "interest" rate,
not the APY (aka APR) -- then you cannot compute the "future value"
without knowing the compounding frequency.
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