What is the profitability index of an investment with cash flows in years $0$ thru $4$ of $-340,120,130,153,$ and $166,$ respectively, and a discount rate of $16$ percent?

Multiple Choice

$\mathrm{.}15$

$\mathrm{.}22$

$\mathrm{.}35$

$\mathrm{.}42$