XYZ Corporation is projecting its Free Cash Flow to the Firm $($FCFF$)$ for the next $5$ years. The FCFF projections are as follows:

Year $1$: FCFF$\_1=$ $$40$

Year $2$: FCFF$\_2=$ $$55$

Year $3$: FCFF$\_3=$ $$70$

Year $4$: FCFF$\_4=$ $$85$

Year $5$: FCFF$\_5=$ $$100$

Other information:

The risk$-$free rate $($rf$)$ is $4\%.$

Equity risk premium or market premium$($ERP$)$ is $7\%.$

Beta $(\backslash$beta $)$ of the company is $1\mathrm{.}5.$

The corporate tax rate $($T$)$ is $30\%.$

The company's debt carries an interest rate of $8\%.$

Equity and debt are in equal proportion in the firm.

The terminal growth rate $($g$)$ is $4\%.$

Calculate the estimated value of the firm using the DCF model.