A project has the following expected cash flows:

CF

$0$

$=$

$-$

$

$500$

$,$

CF

$1$

$=$

$-$

$

$200$

$,$

CF

$2$

$=$

$

$200$

$,$ and

CF

$3$

$=$

$

$400$

$.$ If the project$$s cost of capital is $9\%,$ what is the profitabilty index?