f(t) Payment Stream Description \[\mathcal{L}\lbrack f\rbrack = F(r) = \int_{0}^{\infty}{f(t)e^{- rt}dt}\]
\[\delta(t)\] $1 at time 0 \[1\]
\[\delta(t - t_{0})\] $1 at time t0 \[e^{- rt_{0}}\]
\[1\] Perpetuity of $1 \[\frac{1}{r}\]
\[e^{at}\] Exponentially increasing perpetuity \[\frac{1}{(r - a)}\]