Assume inflation is $0\mathrm{.}24\%$ per month. Would you rather earn a nominal return of $0\mathrm{.}77\%$ per$$ month, compounded$$ monthly, or a real return of $6\mathrm{.}55\%$APR$,$ compounded$$ annually? $($Note: Be careful not to round any intermediate steps less than six decimal$$ places.$)$

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Part $1$

The nominal EAR for the nominal return of $0\mathrm{.}77\%$ per month is

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enter your response here. $($Type your answer in decimal format. Round to six decimal$$ places.$)$