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Slope as a Positive Value in Economic Trade-offs
In economic analysis, particularly when discussing trade-offs like those between present and future consumption, there is a specific convention for describing the slope of downward-sloping lines. While geometrically such lines have a negative slope, economists typically use the absolute value, referring to the slope as a positive number. This simplification makes it easier to describe the trade-offs faced by economic agents, such as borrowers.
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CORE Econ
Economics
Social Science
Empirical Science
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Economy
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.9 Lenders and borrowers and differences in wealth - The Economy 2.0 Microeconomics @ CORE Econ
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Slope as a Positive Value in Economic Trade-offs
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Learn After
An individual faces a trade-off between consumption today (measured on the horizontal axis) and consumption in the future (measured on the vertical axis). The line representing all possible combinations of consumption passes through two points: Point A (100 units today, 220 units in the future) and Point B (200 units today, 110 units in the future). Based on the standard convention for describing such trade-offs, how is the rate of exchange between future and present consumption best described?
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Consider a graph where the vertical axis represents units of future consumption and the horizontal axis represents units of present consumption. An individual's budget line on this graph slopes downward. A statement that 'the mathematical slope of the line is -1.1' and a statement that 'the economic trade-off is 1.1 units of future consumption for every 1 unit of present consumption' are contradictory statements.
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An economist is analyzing a graph that shows the trade-off between an individual's consumption in the present (on the horizontal axis) and consumption in the future (on the vertical axis). The line representing the possible combinations slopes downwards. The economist states, 'The trade-off is 1.1 units of future consumption for every 1 unit of present consumption.' A mathematician looking at the same graph calculates the slope of the line as -1.1. Which of the following statements best explains this difference in description?
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