Suppose the current price of gold is $$2,047\mathrm{.}0$ per ounce. A management consulting firm advises you that gold prices will increase at an average rate of $6\mathrm{.}8\%$ in the next three years. After that, the consultants are confident that the growth rate will fall to a long$-$run trend of $3\%$ per year. What is your best estimate of the present value of $1\mathrm{.}5$ million ounces of gold produced in eight years? Assume that gold prices have a beta of zero and the risk$-$free rate is $5\mathrm{.}5\%.$

$[$Enter your answer in billions, rounded to two decimal places$)$

PSA : Answer is $3\mathrm{.}07$ billion $($i need the steps$)$