An investment will pay $$1,000$ at the end of each of the next $3$ years, $$2,000$ at the end of Year $4,$ $$3,000$ at the end of Year $5,$ and $$5,000$ at the end of Year $6.$ If other investments of equal risk earn $5\%$ annually, what is its future vale? $($Please show all steps for full transparency$)$