A project is expected to provide cash flows of $$12,300,$$$12,700,$$$15,800,$ and $$10,300$ over the next four years, respectively. At a required return of $8\mathrm{.}6$ percent, the project has a profitability index of $887.$ For this to be true, what is the project's cost at Time $0?$

Multiple Choice

$$31,541$

$$37,108$

$$43,234$

Insufficient information.

$$47,164$