An investment pays $$27,854\mathrm{.}00$ at the end of $10$ years. What is the most that you would be willing to pay for the investment?

$(1)-$ If your return is expected at $12\%$ compounded annually?

$(2)-$If your return is expected at $6\%$ compounded semi$-$annually?

$(3)-$If your return is expected at $1\%$ compounded monthly?