Currency-Converted Index
Install and import
npm install fintech-algorithmsimport { calculate } from "fintech-algorithms/index-and-benchmark-engineering/return-variants/currency-converted-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
{
"localReturns": [0.01, -0.004, 0.006, 0.002, -0.003],
"fxReturns": [0.002, 0.001, -0.003, 0.004, -0.001],
"baseLevel": 1000,
"quote": "base currency per local currency"
}Call
calculate(data)Returns
object with 4 fields: baseCurrencyReturns, levels, endingLevel, quote
{
"baseCurrencyReturns": [0.01202, -0.003004, 0.002982, 0.006008, -0.003997],
"levels": [1000, 1012.02, 1008.979892, 1011.98867, 1018.068698, 1013.999477],
"endingLevel": 1013.999477,
"quote": "base currency per local currency"
}Diagrams
Calculation flow
Currency-Converted 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 Currency-Converted Index"]
E --> F["Recompute invariants"]
F --> G{"Checks pass?"}
G -->|No| D
G -->|Yes| H["Publish audited output"]
Currency-Converted 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.
References
- S&P Dow Jones Indices Index Mathematics Methodology — S&P Dow Jones Indices
- S&P DJI Equity Indices Policies & Practices — S&P Dow Jones Indices
- FTSE Russell Capping Methodology — FTSE Russell, LSEG
- FTSE Russell Index Policy and Methodology Library — FTSE Russell, LSEG
- MSCI Global Investable Market Indexes Methodology Library — MSCI
- MSCI Minimum Volatility Indexes Methodology — MSCI
- S&P Risk Control 2.0 Indices Methodology — S&P Dow Jones Indices
- Principles for Financial Benchmarks — International Organization of Securities Commissions
- Regulation (EU) 2016/1011 — European Union
- Portfolio Selection — Harry Markowitz
- On the Properties of Equally-Weighted Risk Contributions Portfolios — Sébastien Maillard, Thierry Roncalli, and Jérôme Teïletche
- Fundamental Indexation — Robert Arnott, Jason Hsu, and Philip Moore
- FTSE Currency Hedging Methodology Overview — FTSE Russell, LSEG