$($Present value of complex cash$$ flows$)$How much do you have to deposit today so that beginning $11$ years from now you can withdraw $$$$15$ comma $000$ a year for the next $5$ years$($periods $11$ through $15)$ plus an additional amount of $$$$30$ comma $000$ in the last year$($period $15)?$ Assume an interest rate of $9$ percent.

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Part $1$

The amount of money you have to deposit today is $$$

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