#### Answer

investment is worthwhile.

#### Work Step by Step

We have a $5$ year investment at $6\%$ of $\$500,000$. Thus, we have:
$$ r=0.06,\ \ \ \ t=5,\ \ \ P=500000$$
Then $PV$ after $5$ years is:
\begin{align*}
PV&= 500000\left( e^{-0.06(1)}+ e^{-0.06(2)}+ e^{-0.06(3)}+ e^{-0.06(4)}+ e^{-0.06(5)} \right)\\
& \approx 2,095,700.63
\end{align*}
We see that $PV$ is larger than the initial investment of $2$ million, so the investment is worthwhile.