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In graph Frontier
EconomicsFinanceEstablished

Compound interest

Compound interest or anatocism is interest accumulated from a principal sum and previously accumulated interest.

At a glance

Type
change
Disciplines 2
Mental models 1
Role in the graph
Cross-disciplinary bridge
reaches 3 discipline lenses

Key signals

Cross-disciplinary reach
Disciplines
2
  • Economics
  • Finance
Evidence & development

Dependencies

What this concept builds on and what it makes possible — derived from the atlas’s dependency, causal and structural relations, not from every related edge.

Foundations · builds on

Compound interestdepends onInterest rateEstablished

Open Interest rate →

compound interest depends on interest rate.

Mechanism: Compound interest grows on the interest rate: a higher rate means each period's interest is larger and itself earns interest, accelerating growth.

Sources:

System context

Compound interestis aExponential growthEstablished

Open Exponential growth →

compound interest is a kind of Exponential growth.

Mechanism: Compound interest pays interest on interest, so a balance grows exponentially over time.

Sources:

Structural role & consequence

Interpreted from the current atlas graph — what the connections mean, not just how many there are.

  • Currently dark in the atlas: no key date stored · 2 of 2 of its relations lack claim-level evidence.

    atlas representation · Describes the current Thinking OS representation, not the state of the world.

  • Builds on 1 foundation (requires / depends-on / derived-from / emerges-from).

    structural · Structural graph analysis — not a claim of importance, causation or history.

  • Structural neighbourhood: 2 → 12 → 37 concepts reachable within 3 hops.

    structural · Structural reach — being reachable is not the same as being understood.

  • All 2 of its relationships stay within its own discipline — a field-specific concept in the current atlas.

    structural · Structural graph analysis — not a claim of importance, causation or history.

0%

cross-field
2 within-field, 0 cross-field

0 of 2 relations carry evidence · concept has a verified source

Strengths & constraints

Constraints

  • Evidence coverage currently thin in the atlas — few of its relationships carry claim-level evidence. atlas representation
  • No dated history stored — the atlas records no key date for this concept. atlas representation

Conditions

  • Its dependency reading rests on 1 foundation relation. structural
  • Read structurally — most of its relationships carry no external evidence yet, so claims here are graph-derived. structural

Dependency radial

What this concept builds on (left) and what it makes possible (right) — derived from dependency and causal relations.

Interest rateCompound interest◀ builds onenables ▶

Seen through each discipline

How this concept sits in each of its fields — derived from its real connections in the graph, not asserted.

Formula

Compound interest

Final amount after compounding interest n times per period.

  • Afinal amount
  • Pprincipal
  • rannual rate
  • ncompounds per period
  • ttime

Source: Principles of Finance (OpenStax)

Concepts that look related but are not yet connected here — candidates for a connection to reason about, not established links.

This idea also appears in…

The same structure shows up in other disciplines. These are real recurrences drawn from the graph — a starting point for asking “what carries over, and what changes?”

Compounding22 disciplines · 15 concepts

Concepts

Mental models at work here

The scientific picture
  • Connects 2 other ideas across 2 disciplines.
  • A cross-disciplinary bridge — its connections reach into 3 other fields.
  • Most of its connections are of the “Kind & structure” kind.
  • It exercises 1 reusable thinking pattern.

Derived from the graph’s real structure — observations, not a score.

Sources

Thinking OS — Connected Knowledge in Education