compound-interest

compound-interest is a skill for Claude Code, Codex from deciqAI/knowledge-skills. It costs 105 tokens per session (1,736 once invoked), scanned A, original, MIT.

An explanation of compound interest, where growth is added to the amount already accumulated, so later growth can become faster than earlier growth.

In plain words
What is it for?
It helps compare starting early with starting later, estimate doubling time with the Rule of 72, and think about long-term savings, investing, business advantages, and skill development.
Why use it?
It makes long-term results easier to understand when people underestimate repeated growth by imagining only steady, linear increases.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit It helps compare starting early with starting later, estimate doubling time with the Rule of 72, and think about long-term savings, investing, business advantages, and skill development.

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Install with agentmods
npx agentmods add skills/deciqai/knowledge-skills/compound-interest
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add deciqAI/knowledge-skills --skill compound-interest
Clone the repo
git clone --depth 1 https://github.com/deciqAI/knowledge-skills

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for compound-interest

README.md
[![agentmods](https://agentmods.dev/badge/skills/deciqai/knowledge-skills/compound-interest.svg)](https://agentmods.dev/skills/deciqai/knowledge-skills/compound-interest)
Your own site
<a href="https://agentmods.dev/skills/deciqai/knowledge-skills/compound-interest"><img src="https://agentmods.dev/badge/skills/deciqai/knowledge-skills/compound-interest.svg" alt="Measured on agentmods" height="20"></a>
Per session 105 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 1,736 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00105 $0.01736
Opus 5 $0.00053 $0.00868
Sonnet 5 $0.00021 $0.00347
Haiku 4.5 $0.00011 $0.00174

Measured 8d ago against content hash 30139a64d512, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-08, from the pricing page.

Security

Grade A, and why

compound-interest scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 8d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

compound-interest/SKILL.md · 122 lines

How it starts

The opening of the file, as written. The whole thing — 122 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Compound Interest

Overview

Compound interest: a quantity grows at a rate proportional to its current size — growth itself grows — producing exponential accumulation. Formula: A = P × (1 + r)^t. Humans underestimate long-horizon outcomes because cognition extrapolates linearly. Two consequences: Rule of 72 (doubles in ≈ 72/r periods); late-period dominance (most final value comes from the last few periods).

Composes with lindy-effect, hyperbolic-discounting, expected-value-and-kelly, network-effects, deep-work.

When to Use

  • Evaluating any long-horizon investment, savings, or wealth decision
  • Deciding between starting earlier vs. starting later; intensity vs. duration paths
  • Evaluating compound advantages in business (data, brand, switching cost)
  • Weighing AI capex, AI adoption timing, or defending against AI-native competition — where data flywheels, ecosystem lock-in, and eval/technical debt compound over years
  • Skill-development planning; recognizing compound decay (fees, atrophy, trust erosion)

Not when: horizon is short; rate is so low linear approximation is fine; process is genuinely linear; situation requires immediate one-shot intensity.

Coaching Novices (Adaptive Front Door)

  • Engine mode: user has a concrete long-horizon case → run The Process directly.
  • Coach mode: user is unfamiliar → guide step by step.

In Coach mode, respond one step at a time. Each [WAIT] is a hard stop — output only that step's question, then stop.

  1. One-line: duration of compounding dominates rate — starting earlier with small consistency beats starting later with large intensity.
  2. Check fit. Short horizon or very low rate? Compound effects are small — save it for genuinely long horizons.
  3. Elicit the specific decision, time horizon, and rate.

[WAIT — do not advance until user responds]

  1. Walk through Rule of 72, precise compound outcome, late-period dominance, and other life domains one question at a time.

[WAIT — do not advance until user responds]

  1. Close: decision informed by compound math + compound dynamics identified + commitment to early consistent action.

[WAIT — do not advance until user responds]

Read the full file on GitHub · 122 lines

Files

What ships with it

4 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 8d ago First seen · 122 lines · 105 tokens per session scan A 30139a64d512

Subscribe to this mod's changes

compound-interest is a skill published in the GitHub repository deciqAI/knowledge-skills (10 stars, last pushed 6d ago), licensed MIT. It adds 105 tokens to every session and 1,736 once invoked, about $0.0005 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-31.

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