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In
economics Economics () is the social science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services. Economics focuses on the behaviour and intera ...
and
finance Finance is the study and discipline of money, currency and capital assets. It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of fina ...
, the profit rate is the relative
profitability In economics, profit is the difference between the revenue that an economic entity has received from its outputs and the total cost of its inputs. It is equal to total revenue minus total cost, including both explicit and implicit costs. It i ...
of an investment project, a capitalist enterprise or a whole
capitalist economy Capitalism is an economic system based on the private ownership of the means of production and their operation for profit. Central characteristics of capitalism include capital accumulation, competitive markets, price system, private pr ...
. It is similar to the concept of
rate of return on investment In finance, return is a profit on an investment. It comprises any change in value of the investment, and/or cash flows (or securities, or other investments) which the investor receives from that investment, such as interest payments, coupons, ca ...
.


Historical cost ''vs.'' market value

The rate of profit depends on the definition of ''capital invested''. Two measurements of the value of capital exist: capital at
historical cost In accounting, an economic item's historical cost is the original nominal monetary value of that item. Historical cost accounting involves reporting assets and liabilities at their historical costs, which are not updated for changes in the items' v ...
and capital at
market value Market value or OMV (Open Market Valuation) is the price at which an asset would trade in a competitive auction setting. Market value is often used interchangeably with ''open market value'', ''fair value'' or ''fair market value'', although the ...
. Historical cost is the original cost of an asset at the time of purchase or payment. Market value is the re-sale value, replacement value, or value in present or alternative use. To compute the rate of profit, replacement cost of capital assets must be used to define the capital cost. Assets such as machinery cannot be replaced at their historical cost but must be purchased at the current market value. When inflation occurs, historical cost would not take account of rising prices of equipment. The rate of profit would be overestimated using lower historical cost for computing the value of capital invested. On the other side, due to technical progress, products tend to become cheaper. This in itself should, theoretically, raise rates of profit, because replacement cost declines.


A prisoner's dilemma

If, however, firms achieve higher sales per worker the more they invest per worker, they will try to increase investments per worker as long as this raises their rate of profit. If some capitalists do this, all capitalists must do it, because those who do not will fall behind in competition. This, however, means that replacement cost of capital per worker invested, now calculated at the replacement cost necessary to keep up with the competition, tends to be increased by firms more so than sales per worker before. This squeeze, that investments per worker tend to be driven up by competition more so than before sales per worker have been increased, causes the
tendency of the rate of profit to fall The tendency of the rate of profit to fall (TRPF) is a theory in the crisis theory of political economy, according to which the rate of profit—the ratio of the profit to the amount of invested capital—decreases over time. This hypothesis ...
. Thus, capitalists are caught in a
prisoner's dilemma The Prisoner's Dilemma is an example of a game analyzed in game theory. It is also a thought experiment that challenges two completely rational agents to a dilemma: cooperate with their partner for mutual reward, or betray their partner ("defe ...
or rationality trap. This "new" rate of profit (r'), which tends to fall, would be measured as ::: r' = (surplus-value)/(
capital Capital may refer to: Common uses * Capital city, a municipality of primary status ** List of national capital cities * Capital letter, an upper-case letter Economics and social sciences * Capital (economics), the durable produced goods used f ...
to be invested for the next period of production in order to remain competitive).


Numerical example

At the beginning of a "year" (possibly another length of time period, in this case other numerical values will arise) the capitalist has to invest an amount of capital. For example, he must invest: *''100 €'' for wages (
variable capital Constant capital (c), is a concept created by Karl Marx and used in Marxian political economy. It refers to one of the forms of capital invested in production, which contrasts with variable capital (v). The distinction between constant and vari ...
''v'') :Furthermore he must invest for
constant capital Constant capital (c), is a concept created by Karl Marx and used in Marxian political economy. It refers to one of the forms of capital invested in production, which contrasts with variable capital (v). The distinction between constant and var ...
''c'': *''100 €'' for “production material” *''100 €'' for “instruments” (life span 2 years) *''100 €'' for “machines” (life span 4 years) *''100 €'' for “equipment” (life span infinity). :In total he invests at the beginning of the year ''500 €.'' Now, it is assumed that during the year the capitalist can produce and sell commodities at a total price of ''300 €''. Volume of sales, therefore, is ''300 €''. From volume of sales costs of the year must be deducted. Costs of
circulating capital Circulating capital includes intermediate goods and operating expenses, i.e., short-lived items that are used in production and used up in the process of creating other goods or services.Mark Blaug, 2008. "circulating capital," ''The New Palgrave ...
are expenses for “production material” and for labour power, both of them are consumed in production during the year (that is the definition of “circulating capital”): *''100 €'' wage costs (variable capital) – see assumption above. *''100 €'' expenses for material – see assumption above. *costs of
fixed capital In accounting, fixed capital is any kind of real, physical asset that is used repeatedly in the production of a product. In economics, fixed capital is a type of capital good that as a real, physical asset is used as a means of production which i ...
(
depreciation In accountancy, depreciation is a term that refers to two aspects of the same concept: first, the actual decrease of fair value of an asset, such as the decrease in value of factory equipment each year as it is used and wear, and second, the a ...
). :Fixed capital are those means of production, which are in use for more than one year: The capitalist must take into account, that “instruments” and “machines” do not live forever, but must finally be replaced after usage. From sales he must take aside certain sums of money (
depreciation In accountancy, depreciation is a term that refers to two aspects of the same concept: first, the actual decrease of fair value of an asset, such as the decrease in value of factory equipment each year as it is used and wear, and second, the a ...
) to be able to replace “instruments” and “machines” at their end of life. For “instruments”, the depreciation expense per year is ''50 €'' (''100 €'' purchase cost divided by lifespan of 2 years, straight-line depreciation assumed) and for “machines” ''25 €'' (100 € purchase cost divided by 4 years). For “equipment” there is no depreciation expense, because, in this example, it is assumed that equipment holds forever, there is no wear and tear for equipment. In total, costs are ''275 €''. Sales of ''300 €'' minus costs of ''275 €'' gives a profit of ''25 €''. ''25 €'' in relation to an initial capital investment of ''500 €'' gives a rate of profit of ''5 %''. From year to year capital can grow at a rate of 5%, if all profits are invested or accumulated.


Marxian economics

In Marxian
political economy Political economy is the study of how Macroeconomics, economic systems (e.g. Marketplace, markets and Economy, national economies) and Politics, political systems (e.g. law, Institution, institutions, government) are linked. Widely studied ph ...
, the rate of profit (r) would be measured as ::: r = (
surplus value In Marxian economics, surplus value is the difference between the amount raised through a sale of a product and the amount it cost to the owner of that product to manufacture it: i.e. the amount raised through sale of the product minus the cost ...
)/(
capital Capital may refer to: Common uses * Capital city, a municipality of primary status ** List of national capital cities * Capital letter, an upper-case letter Economics and social sciences * Capital (economics), the durable produced goods used f ...
invested). where surplus value corresponds to unpaid
labor Labour or labor may refer to: * Childbirth, the delivery of a baby * Labour (human activity), or work ** Manual labour, physical work ** Wage labour, a socioeconomic relationship between a worker and an employer ** Organized labour and the la ...
in the production process or to profits, interest, and rent (property income).


See also

*
Capital accumulation Capital accumulation is the dynamic that motivates the pursuit of profit, involving the investment of money or any financial asset with the goal of increasing the initial monetary value of said asset as a financial return whether in the form o ...
*
Internal rate of return Internal rate of return (IRR) is a method of calculating an investment’s rate of return. The term ''internal'' refers to the fact that the calculation excludes external factors, such as the risk-free rate, inflation, the cost of capital, or fin ...
* Okishio's theorem *
Profit (accounting) Profit, in accounting, is an income distributed to the ownership , owner in a Profit (economics) , profitable market production process (business). Profit is a measure of profitability which is the owner's major interest in the income-formati ...
*
Profit (economics) In economics, profit is the difference between the revenue that an economic entity has received from its outputs and the total cost of its inputs. It is equal to total revenue minus total cost, including both explicit and implicit costs. It i ...
* Rate of exploitation * Return on capital *
Tendency of the rate of profit to fall The tendency of the rate of profit to fall (TRPF) is a theory in the crisis theory of political economy, according to which the rate of profit—the ratio of the profit to the amount of invested capital—decreases over time. This hypothesis ...


References

{{DEFAULTSORT:Rate Of Profit Marxist theory Marxian economics Profit Rates Yield (finance)