Given an interest rate of $10$ percent per year, what is the value at date $t=9$ of a perpetual stream of $$1,000$ payments with the first payment at date $t=16?$

Multiple Choice

$$5,531\mathrm{.}84$

$$5,757\mathrm{.}63$

$$5,644\mathrm{.}74$

$$5,131\mathrm{.}58$

$$10,100\mathrm{.}00$

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