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306 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28
Value ot R,- R,
In the case of the exponential model, we have, according
to (251-4)
(251-20) R,-R,=[r_ 2 (i-¢) | R,
1+O,:
oo P 0, R,
for small values of ¢ and p. Now, from (110-6) and (251-9),
we have
(251-21)
at _ e, Ra
di di
=0 OR
Thus we have
(251-22)
dt
(1
Thus, in the exponential case consumed income is practically
equal to capital income (see § 116) and we have from (116-22),
(251-20) and (110-2)
251-23) : R. ~ R.+iC
(!) We have also this property in the general case. In this case. we have
from (231-3), (123-2), (122-4), (224-2) and (220-2)
1
rel vy Ro Ÿ ? ® Ro
I1—4(G—e)]
à GS 5° Re 960 Ro
II] Allais - pag. 110
