The estimated gas reserves of a firm amount to $12$ million barrels, and the estimated cost of extracting the gas is $$139$ million. The current price of gas is $$16$ per cubic feet $($cf$),$ and the average production cost is estimated to be $$1$ per cubic feet. The company has the rights to these reserves for the next $10$ years, and the $10-$year bond rate is $5\%.$ The company would need $2\mathrm{.}5\%$ of its reserves each year to meet cash flow needs. The annualized standard deviation in the price of gas is $18\%.$ What is the value of the Option?

Group of answer choices

$$43,254,382$

$$41,254,382$

$$42,254,382$

$$42,987,382$