Elasticity of intertemporal substitution¶
In economics, elasticity of intertemporal substitution (or intertemporal elasticity of substitution, EIS, IES) is a measure of responsiveness of the growth rate of consumption to the real interest rate.
Core Idea¶
Elasticity of intertemporal substitution is treated here as the recurring socialscienceshumanitiesarts identity summarized by this source-grounded definition: In economics, elasticity of intertemporal substitution (or intertemporal elasticity of substitution, EIS, IES) is a measure of responsiveness of the growth rate of consumption to the real interest rate. In economics, elasticity of intertemporal substitution (or intertemporal elasticity of substitution, EIS, IES) is a measure of responsiveness of the growth rate of consumption to the real interest rate.
Scope of Application¶
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Mathematical definition. The first way is to define it abstractly as a function derived from the utility function, then interpret it as an elasticity.
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Abstract definition. Given a utility function u© , where c denotes consumption level, the EIS is defined as \sigma© = -\frac{u'©}{cu©} Notice that this definition is the inverse of.
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Abstract definition. We can define a family of utility functions, which may be understood as inverse CRRA utility: u\sigma© = \begin{cases}.
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Abstract definition. For each \sigma \neq 0 , the utility function u\sigma has constant EIS \sigma .
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Abstract definition. In usual economic applications, there is restriction \sigma > 0 , since agents are assumed to not be risk-loving.
Clarity¶
A clear use of Elasticity of intertemporal substitution names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is In economics, elasticity of intertemporal substitution (or intertemporal elasticity of substitution, EIS, IES) is a measure of responsiveness of the growth rate of consumption to the real interest rate.
Manages Complexity¶
Elasticity of intertemporal substitution compresses multiple socialscienceshumanitiesarts details into a stable diagnostic relation. The source shows both the central mechanism—then the intertemporal elasticity of substitution is given by \frac {1} {\theta} .—and the practical consequence—we can define a family of utility functions, which may be understood as inverse CRRA utility: u\sigma© = \begin{cases}.
Abstract Reasoning¶
- Type the carrier. Identify the socialscienceshumanitiesarts entities to which the claim applies.
- State the relation. Use the source-grounded identity: In economics, elasticity of intertemporal substitution (or intertemporal elasticity of substitution, EIS, IES) is a measure of responsiveness of the growth rate of consumption to the real interest rate.
- Check operation and conditions. A quantity of money Q invested today costs Qu'(ct) units of utility, and so must yield exactly that number of units of utility in the future when saved at the prevailing gross.
Knowledge Transfer¶
Within the home domain. Knowledge about Elasticity of intertemporal substitution transfers literally when a new case preserves the same carrier type, relation, and recognition test. The first way is to define it abstractly as a function derived from the utility function, then interpret it as an elasticity. Given a utility function u© , where c denotes consumption level, the EIS is defined as \sigma© = -\frac{u'©}{cu©} Notice that this definition is the inverse of relative risk aversion. Beyond the home domain. No canonical parent is asserted for Elasticity of intertemporal substitution.
Relationships to Other Abstractions¶
Current abstraction Elasticity of intertemporal substitution Domain-specific
Parents (1) — more general patterns this builds on
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Elasticity of intertemporal substitution is a kind of Elasticity Prime
Intertemporal substitution elasticity measures consumption-growth responsiveness to the real interest rate.
Hierarchy path (1) — routes to 1 parentless root
- Elasticity of intertemporal substitution → Elasticity
Neighborhood in Abstraction Space¶
Elasticity of intertemporal substitution sits in a crowded region of the domain-specific corpus (40th percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.
Family — Financial Indices & Trading Indicators (15 abstractions)
Nearest neighbors
- Merton's portfolio problem — 0.89
- FISIM — 0.88
- Net Foreign Assets — 0.87
- Saving (economics) — 0.87
- Wicksell's theory of capital — 0.87
Computed from structural-signature embeddings · 2026-10-08