Period 1
Period 2
Period 3
Project A
-$1,000
-0-
+$1,210
Project B
-$1,000
+$100
+$1,100
Project C
-$1,000
+$1,100
-0-
Project D
-$1,000
and +$1,000
What is the NPV of these projects? Answer: zero--they are
all equally good, whether the money is all spent now (Project D) or is
invested to help only distant "generations" (using years to keep numbers
simple, but could figure out the numbers for very distant outcomes).
Yet, we have strong preferences among them--why? Because we care
about who receives the benefits and pays the costs; this
is precisely analogous to arguing that a project, within a period, having
B > C "should" be undertaken--but what if its benefits accrue to the rich
and the costs are paid by the poor? Substitute "one generation" for
"the rich" and "another generation" for "the poor" and you can see the
nature of the problem. Is there any reason to feel that future generations
are likely to be "poorer" than current generations? The answer depends,
in part, on whether you are a Doomster or a Boomster. "Boomsters"
might argue that future generations, following the past, will be much better
off than the current generation (technological progress and bequests),
while "Doomster" might argue that future generations will be poorer--and
this is where "irreversibilities" enter. What if future generations
are richer but cannot experience a lost species (we kill the whales or
cut all the redwoods)? Can we know anything about how much the future
will value a lost species (how much of their wealth they would give up
to get it back, if they could)? Clearly, apart from irreversibilities
and/or if the future "doesn't care," concern for future generations would
suggest that we invest in projects that offer the future the greatest wealth
(high return projects), for then they will have the greatest ability to
buy what they want (including environmental quality, as in the recent past).
This argues strongly against using abnormally low (or even zero, as some
extreme environmentalists favor) interest rates for environmental projects--we
would give the future a "nice"--as we define it--environment but
they might be very much poorer! That is, they will have a lower utility--and
would, if they could be around now, chastize us for picking the wrong bundle
of environmental and other goods for them!
Note: as with projects at a point in time, if the
benefits are greater than the costs for a project, compensation could
occur (reduced or increased bequests, for example) to make all generations
better off. Note further that businesses do not have to worry about
these issues (as with a point in time) since a dollar's worth of demand
(appropriately discounted and corrected for inflation) is the same regardless
of the generation it comes from. Hence, private investments embed
a "neutrality" toward generations just like businesses are "neutral" toward
who buys their goods at a point in time (rich and poor pay the same price
for bread).