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34<br />

would not be fulfi lLed. We can tarm this as another<br />

consistency condition.<br />

The simplest formula that fuL fiLs the above-mentioned<br />

requirements is<br />

uf t<br />

ui [t) = u 0) ..... (4.12)<br />

u[O]<br />

which increases such u (0) in the same proportion. In the<br />

u {1o)<br />

averaging process, the ratio -----<br />

u(0)<br />

achieved.<br />

becomes one, and consistency is<br />

But it should be noted that the values obtained in this<br />

way ore not to be considered as unique,<br />

because formula [4.12) is<br />

on Ly one of the ony possible formulas that can be thought of, as<br />

we shall see Later.<br />

The , (t) values obtained by formula [4. 12] can be xpected<br />

to be consistent with the TFR target because uft] was derived<br />

from TFR. Dut wE, hove .to check what the corresponding CBR is.<br />

For this purpose, w e use the following formulas:-<br />

N i t= HWA 1 (t [1-s i t).u 1 (t).e (tJ]C (t]<br />

i ai<br />

.[ )t N. (t).ASNFR i t)<br />

1 *1 i<br />

1000<br />

CBR(t) = -- T B(t]<br />

P~t] <br />

Let us assume,<br />

for purposes of avoiding unwarranted optimism, that<br />

the C BR obtained in this way is found to be different from what<br />

has been specified as a target. In that case, either the CBRtarget<br />

or the TFR target needs to ba revised, or, if that raises<br />

other di fficultijs, a way should be found to re-adjust formula<br />

(4.12].<br />

Th or.oticaLly, what we nod is a formula which contains a<br />

n<br />

trend regulator whose values can be adjusted so as to be<br />

consistent not onLy with a TFR target but also with a CBR target.

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