fintech-algorithms

Equal-Risk-Contribution Index

Install and import

bash
npm install fintech-algorithms
ts
import { calculate } from "fintech-algorithms/index-and-benchmark-engineering/alternative-weighting/equal-risk-contribution-index";

Signature

calculate(data)

Worked example

verified This is the worked example published in the article, replayed by the test suite on every run. The output cannot drift.

Input

data
{
  "ids": ["A", "B", "C"],
  "covariance": [
    [0.04, 0.006, 0.004],
    [0.006, 0.0225, 0.003],
    [0.004, 0.003, 0.01]
  ],
  "tolerance": 1e-8,
  "maxIterations": 1000
}

Call

calculate(data)

Returns

object with 5 fields: ids, weights, riskContributionShares, volatility, iterations

{
  "ids": ["A", "B", "C"],
  "weights": [0.230769, 0.307692, 0.461538],
  "riskContributionShares": [0.333333, 0.333333, 0.333333],
  "volatility": 0.094587,
  "iterations": 12
}

Diagrams

Equal-Risk-Contribution Index — article hero
Equal-Risk-Contribution Index — failure guard
Equal-Risk-Contribution Index — worked example

Calculation flow

Equal-Risk-Contribution Index calculation flow 
flowchart LR
    A["Point-in-time inputs"] --> B["Validate units and timing"]
    B --> C{"Contract feasible?"}
    C -->|No| D["Reject with reason"]
    C -->|Yes| E["Calculate Equal-Risk-Contribution Index"]
    E --> F["Recompute invariants"]
    F --> G{"Checks pass?"}
    G -->|No| D
    G -->|Yes| H["Publish audited output"]
Equal-Risk-Contribution Index methodology state 
stateDiagram-v2
    [*] --> FrozenInputs
    FrozenInputs --> Validated: contract passes
    FrozenInputs --> Rejected: missing or infeasible
    Validated --> Calculated: apply named rule
    Calculated --> Audited: invariants pass
    Calculated --> Rejected: invariant fails
    Audited --> Published: version and timestamp recorded
    Published --> Revised: approved correction
    Revised --> FrozenInputs: rebuild from retained source state

How it works

This page states the contract — how to call it correctly. The article explains the concept: why it works, and where it breaks.

Read the article →

References