Equivalent continuously-compounded rate

A bank quotes 6% nominal, compounded monthly. What continuously-compounded rate delivers the exact same growth over one year? (in percent, to 2 decimals)

Show hints (2)+
  1. Match growth factors: erc=(1+0.06/12)12e^{r_c} = (1+0.06/12)^{12}.
  2. rc=12ln⁡(1.005)r_c = 12\ln(1.005).

Answer

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5.99 (± 0.02)

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