Consider a firm that can either pay out dividends with one of two plans:

Plan $1$: can pay $$5000$ per year for each of the three years, or

Plan $2$: can pay $$3,000$ this year, reinvest the other $$2,000$ into the firm, pay $$4,000$ next year, reinvest $$1000$ into the firn, then pay $x$ dollars the following year.

Investors require a $11\%$ return.

Compute the furture divident payment $x($at time, $t=3,$ under Plan $2)$ so that divident policy would be irrelevant $($ie$,$ so that the PVs would be the same under both plans$)$

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