Most environmental problems are dynamic in that they occur over time. We’ll need to compare benefits and costs across time.
The Present Value of Benefits for one particular year at time \(t\) is
\[ \begin{align*}
PV(B_{t}) & = \frac{B_{t}-C_{t}}{(1+r)^{t}}
\end{align*}\]
In this case we are examining the present value of benefits at a particular point in time.
\[ \begin{align*}
NPVB = \sum PV(B_{t}) = \sum \frac{B_{t}-C_{t}}{(1+r)^{t}}
\end{align*}\]
For allocative efficiency a policy should maximize the net present value of benefits.