Inverse Daily-Reset Index
Install and import
npm install fintech-algorithmsimport { calculate } from "fintech-algorithms/index-and-benchmark-engineering/strategy-indices/inverse-daily-reset-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
{
"returns": [0.02, -0.015, 0.01, -0.025, 0.018, 0.006],
"inverseMultiple": 1,
"dailyCost": 0.0001,
"baseLevel": 1000
}Call
calculate(data)Returns
object with 4 fields: strategyReturns, levels, endingLevel, multiple
{
"strategyReturns": [-0.0201, 0.0149, -0.0101, 0.0249, -0.0181, -0.0061],
"levels": [1000, 979.9, 994.50051, 984.456055, 1008.969011, 990.706672],
"endingLevel": 984.663361,
"multiple": 1
}Diagrams
Calculation flow
Inverse Daily-Reset 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 Inverse Daily-Reset Index"]
E --> F["Recompute invariants"]
F --> G{"Checks pass?"}
G -->|No| D
G -->|Yes| H["Publish audited output"]
Inverse Daily-Reset 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