Robert Trails Senior Living Community is considering investing in solar panels to save on utility costs. The initial cost of the panels, including installation, is $$241,000.$ The expected reduction in utility costs are noted below. Utility costs savings for the next five years are: $($Round factor values to $5$ decimal places, e$.$g$.1\mathrm{.}25124$ and final answer to $0$ decimal places, e$.$g$.458,581.)$

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Year $1$: $$66,000$

Year $2$: $$68,100$

Year $3$: $$72,900$

Year $4$: $$76,200$

Year $5$: $$78,700$

The current interest rate used to evaluate investment decisions is $6\%.$ The inflation rate is expected to remain constant at $3\%$ for the entire period.

$($a$)$

Compute the present value of the expected cash flows $($savings$).$

Present Value of Expected Cash Flows $