Let $e_t$ be the real exchange rate and ${}_t$ be the nominal exchange rate at time $t.P_t$ and $P_t^{**}$ are the domestic and foreign consumer price index at the time $t.$ is the change over time. Please answer the following True of False questions.

$(1)$ Relative PPP holds if $e_t=0.$

$(2)$ When $e_t>0,$ the domestic country becomes less expensive.

$(3)$ When the foreign country becomes more expensive.