PROBLEM #$5$: Given an interest rate of $12\%$ per year compounded continuously,$($a$)$ calculate effective interest rate per semi$-$annual compounded semi$-$annually and $($b$)$ calculate effective interest rate per annual compounded annually. Hint: First convert to the respective nominal rate, $r$ and then calculate the respective effective interest rate $=e^r-1=$Exp$(r)-1$ where $"$e$"$ represents exponential function.