Answer
$2.88 billion dollars
Work Step by Step
The flow of rate of the investment stream can be expressed as: $R(t)=(12.88)(0.035)(1+\dfrac{5}{100})^t $ dollars per year million .
We have: $r=0.05$ and $T=5 \ years$
Therefore,the future value is equal to: $\int_0^5 (12.88)(0.035)(1+\dfrac{5}{100})^t e^{0.0475 (5-t)} \ dt =2.88 $ billion dollars