A perpetuity$-$immediate has yearly payments of $R and a nominal rate of interest is $12\%$ per year convertible quarterly.

Which of these would give the present value of the annuity? Select all that apply

Choice Formula Choice Formula

A: $\backslash [\backslash$frac$\{$ R$\}\{0\mathrm{.}12$ a$\_\{\backslash$overline$\{4\backslash \}|12\backslash \%\}\}\backslash ]$ D: $\backslash [\backslash$frac$\{$R$\}\{0\mathrm{.}12$ s$\_\{\backslash$overline$\{4\backslash \}|12\backslash \%\}\}\backslash ]$

B: $\backslash [\backslash$frac$\{$R$\}\{0\mathrm{.}03$ s$\_\{\backslash$overline$\{4\backslash \}|12\backslash \%\}\}\backslash ]$ E: $\backslash [\backslash$frac$\{$ R$\}\{0\mathrm{.}03$ a$\_\{\backslash$overline$\{4\backslash \}|3\backslash \%\}\}\backslash ]$

C: $\backslash [\backslash$frac$\{$R$\}\{0\mathrm{.}03$ s$\_\{\backslash$overline$\{4\backslash \}|3\backslash \%\}\}\backslash ]$