A diamond mine is expected to produce regular annual cash flows of $$1$ million with the first regular cash flow expected later today and the last regular cash flow expected in $8$ years from today. In addition to the regular cash flows of $$1,370,000,$ the diamond mine is also expected to produce an extra cash flow of $$4,100,000$ in $2$ years from today. The cost of capital for the diamond mine is $13\mathrm{.}00$ percent. What is the value of the diamond mine?

$$11,155,216\mathrm{.}71($plus or minus $10$ dollars$)$

$$10,639,877\mathrm{.}69($plus or minus $10$ dollars$)$

$$10,241,268\mathrm{.}93($plus or minus $10$ dollars$)$

$$9,785,216\mathrm{.}71($plus or minus $10$ dollars$)$

$$11,130,367\mathrm{.}53($plus or minus $10$ dollars$)$