An oil well is being depleted in such a way that the free cash flow it generates each year is $5\%$ lower than the previous year. The oil produced is expected to generate $$200,000$ this year $($assume this flow occurs at year end$)$ and continue to generate cash flows for $19$ more years $(20$ years of flows in total$).$ How much is the rights to the oil in this well worth today? Assume the appropriate annual discount rate is $15\%,$ as well as annual compounding.