Ok, I’ll keep being nice, because there are some serious issues here.
First off, national income acounting is not algebra, it is measurement. It is an attempt to construct some meaningful numbers about various things, which are with some luck, comparable over time and maybe over regions. With statistic measurement, sometimes you have to ignore things that you don’t have good data for, are subject to bias, aren’t of first order significance and/ or you can’t afford to look at in sufficient detail to matter.
As I said before, lots of important things that we know affect economic welfare are not accounted for or poorly accounted for in national income accounting. Depreciation of consumer durables is one of them. (BTW, try searching for “national income accounting” “consumer durables” rather than “depreciation”)
One of those things is consumer durables. Let’s take a washing machine. You quite rightly say the depreciation of the washing washine is not accounted for in the statistics, and that this is an important feature which affects welfare (although not for the measure you mention, of which more anon).
A $500 dollar wahing machine goes into the stats as $500 this year. No account is made of the fact that it loses value of time. However - and as I said more importantly - no account is taken of the fact that it provides services over time either. My five year-old machine, which is still going strong makes no contribution to measures of national output or consumption in years subsequent to purchase.
Does this matter for welfare? Sure. Is it worth taking account of? It would be complicated. Do you assume a linear or geometric pattern for deprecation? How do you account for quality changes in consumer durables? I don’t know the answer to this, but I would say that national income accounts are not taken all that seriously as a measure of welfare due to problems much more serious than this already, and any enormously expensive attempt to account for an accruals measure of the time value of consumer durables would not make economists abandon their skepticism of these measures.
Note in passing, that as I said before, the net “error” in the accounts due to this problem is the opposite sign (high school enough for you?) to that which you state: the continued use value of durables unaccounted for is liable in any year to be greater than the depreciation of consumer durables unaccounted or.
Finally, you misunderstand the meaning of the measure of “Net National Product”. Getting rid of the depreciation of capital is not intended to give a measure of this year’s “real consumption”: it is intended to give an idea of next year’s output if the existing capital stock were used. In other words, you accuse the measure of being a poor measure of something else.
As an Australian, I don’t know what an SAT really is. And high school maths is a while ago.
picmr