A diamond mine is expected to produce regular annual cash flows of $$1$ million with the first regular cash flow expected later today and the last regular cash flow expected in $6$ years from today. In addition to the regular cash flows of $$1,380,000,$ the diamond mine is also expected to produce an extra cash flow of $$2,900,000$ in $3$ years from today. The cost of capital for the diamond mine is $12\mathrm{.}00$ percent. What is the value of the diamond mine?

$$8,418,753\mathrm{.}88($plus or minus $10$ dollars$)$

$$9,117,904\mathrm{.}83($plus or minus $10$ dollars$)$

$$8,362,146\mathrm{.}74($plus or minus $10$ dollars$)$

$$7,737,904\mathrm{.}83($plus or minus $10$ dollars$)$

$$9,197,984\mathrm{.}02($plus or minus $10$ dollars$)$