An investor wants to be able to buy $4\%$ more goods and services in the future in order to induce her to invest today. During the investment period prices are expected to rise by $2\%.$ Which statement$($s$)$ below is$/$are true? $(5$ POINT$)$

I. $4\%$ is the desired real rate of interest

II$.6\%$ is the approximate nominal rate of interest required

III, $2\%$ is the expected inflation rate over the period

A$.$ I only

B$.$ II only

C$.$ III only

D$.$ I and II only

E$.$ I, II$,$ and III are true