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Question

Engineering Mathematics Question on Limit, continuity and differentiability

The expression for computing the effective interest rate (ieff) using continuous compounding for a nominal interest rate of 5% is
ieff=limm(1+0.05m)m1i_{eff}=\lim\limits_{m\rightarrow\infin}(1+\frac{0.05}{m})^m-1
The effective interest rate (in percentage) is ________ (rounded off to 2 decimal places).

Answer

The correct answer is 5.11 to 5.15 (approx)