354 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28

Chart IV represents the variation of À with n for different
values of w. The reader is reminded at this point that it follows
from the discussion in § 336 that amortization will be more
or less rapid than in the exponential model according as A is
less than or greater than unity.
Thus we see that over a wide range of variation of w, the
properties of the model considered are near those of the exprnenhal
 model.
Analogous calculations could of course be undertaken for
the general case discussed in § 510. They would show that in
the majority of cases which can reasonably be envisaged, the
value of A remains fairly near unity.

Determination of w

533. In any case, it should be clearly understood that when
the value of Yc is given. the range of variation of u=T1/T is
limited.
For we have (!)

I I—U> w
_ Tos ms ts --- ss ue
(533-1) Yo (i—p) I+Ti7 0) 1+T(i-p)]

To simplify the discussion, take

533-2)

1 -0=0

which can be considered as a valid first approximation since
1 —p ts small. Then

555-3)

Yolt -0)= ©,

(1) Relation (526-11).

ir] Allais - pag. 258