An annuity pays 1 at the end of each year for 20 years. Using an annual effective interest rate of i, the accumulated value of the annuity at time 2n+1 is 12.967. It is also known that $(1+i)^{n}=2.351$.
Calculate n.
Ans: $n=\frac{\ln(2.351)}{\ln(1.53641)}$
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