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A curve may have equivalent parametrizations when there is a continuous increasing monotonic function relating the parameter of one curve to the parameter of the other. When there is a decreasing continuous function relating the parameters, then the parametric representations are opposite and the orientation of the curve is reversed. [1] [2]
A strong orientation is an orientation that results in a strongly connected graph. The closely related totally cyclic orientations are orientations in which every edge belongs to at least one simple cycle. An orientation of an undirected graph G is totally cyclic if and only if it is a strong orientation of every connected component of G.
For example, in the IS-LM graph shown here, the IS curve shows the amount of the dependent variable spending (Y) as a function of the independent variable the interest rate (i), while the LM curve shows the value of the dependent variable, the interest rate, that equilibrates the money market as a function of the independent variable income ...
IS curve represented by equilibrium in the capital market and Keynesian cross diagram. The IS curve shows the causation from interest rates to planned investment to national income and output. For the investment–saving curve, the independent variable is the interest rate and the dependent variable is the level of income.
The Keynesian cross diagram is a formulation of the central ideas in Keynes' General Theory of Employment, Interest and Money.It first appeared as a central component of macroeconomic theory as it was taught by Paul Samuelson in his textbook, Economics: An Introductory Analysis.
In the case of two goods and two individuals, the contract curve can be found as follows. Here refers to the final amount of good 2 allocated to person 1, etc., and refer to the final levels of utility experienced by person 1 and person 2 respectively, refers to the level of utility that person 2 would receive from the initial allocation without trading at all, and and refer to the fixed total ...
Inverted yield curves are remarkable and thankfully rare events. They’re important because they serve as one of the most reliable predictors of economic trouble on the horizon.
An increase in the interest rate, from a leftward shift of the MP curve or higher level of inflation, produces lower total output, Q. The IS curve displays a negative relationship between the real interest rate, located on the vertical axis, and total output, on the horizontal axis.