A project is expected to provide cash flows of $$11,400,$$$12,100,$$$15,200,$ and $$9,700$ over the next four years, respectively. At a required return of $9\mathrm{.}5$ percent, the project has a profitability index of $953.$ For this to be true, what is the project's cost at Time $0?$

Multiple Choice

$$37,002$

$$37,346$

$$40,742$

$$31,452$

Insufficient information.