1. The rate of return of the total income, P'RG, is by definition the share of saving placement income in the total income.
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2. The trend in total income profitability (P'RG) is the result of the respective trends in return on capital (ROI) and productivity of placements in capital (PDP).
The equations:
rdp = pdp x p'rg p'rg = rdp/rdp Pdp
are always satisfied by the definitions from which they proceed.
This is why the trend towards stable return on placements in capital (ROI) and the upward trend in productivity of these placements (PDP) results in a downward trend in the profitability of total income (P'RG).
3. Expressed as a percentage, the P'RG is the 100% supplement of the total income from labor, RT, in relation to the total income, RG.
With:
RT: Total Labor Income,
RG: Total Revenue
RP: Total Saving placement income,
since
(RT/RG) x 100 = 100 – [(RP/RG) x 100]
Since the percentage (RP / RG) x 100 is an expression of the P'RG, it is the complement to 100 of the percentage of the LI in relation to the RG, (RT / RG) x 100.
If, for example, the P'RG is 15% of the RG, the LI is 85% of the RG.
4. The decrease in the relative value of saving placement income (IP) relative to total income (TI) is consistent with an absolute increase in the RP.
There may very well be, in particular, an increase in the RP">RP, less than proportional to the RG. So the weight of the RP in the TI decreases, while not only does the weight of the RT in the TI increase, but also the increase in the LI is more than proportional to that of the RG.
The argument of the following proposition includes a numerical example.