Your firm has limited capital to invest and is therefore interested in comparing projects based on the profitability index $($PI$),$ as well as other measures. What is the PI of the project with the estimated cash flows below? The required rate of return is $18\%.$ Round to $3$ decimals.

Year $0$ cash flow $=-900,000$

Year $1$ cash flow $=-150,000$

Year $2$ cash flow $=370,000$

Year $3$ cash flow $=520,000$

Year $4$ cash flow $=400,000$

Year $5$ cash flow $=450,000$