You and $11$ coworkers just won $$$$7$ million $($$$583$ comma $333\mathrm{.}33$each$)$ from the state lottery. Assuming you each receive your share over $19$ years and that the state lottery earns a $4$ percent return on its$$ funds, what is the present value of your prize before taxes if you request the$\text{'}$up$-$front cash'$$ option?

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Part $1$

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The present value of your prize before taxes if you request the$\text{'}$up$-$front cash' option is $$$