958 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28
These results are plotted in charts V and VI.
We see that if we consider only the values of # below 10,
‘he only values which it is realistic to consider, then, although
the auxiliary parameter T has a wide range of variation when
w and » change, the values of the parameter ©, (which are of
economic significance since ®, is the length of the amortisation
perlod for à -p=0) varv but little.
Here, T tends to a limit. Consequently ©, increases indefinitely and
ve have
I)
Ye (i—p)— ow] on
8 i — Yo en) (7—p)
b) yoli—p)<w <1.
Here, T tends to zero, and
2)
Now in this case.
3)
A wvnwnT.
nt 2
0 — Ye (2 -
LC
:0 that
LN
4j
0
Opp Tet
tn)
In this case it is clear that according to the value taken by w, the corr-
-sponding value of ©, can take any valne greater than ve
For ev=1 we have
5)
0 —
PL = ye (i — g)]
For small (i—¢) this limit differs little from yc.
c) w = yc (i—p).
In this case we have
— C—C
6)
p hT(i-e)
e TG"
Ye (g— 2)
LIT
and since T tends to zero
~
4;
=)
UT
so that ©. increases indefinitely.
11] Allais - pag. 262