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Index Divisor Initialization

Install and import#

bash
npm install fintech-algorithms
ts
import { calculate } from "fintech-algorithms/index-and-benchmark-engineering/index-initialization-and-continuity/index-divisor-initialization";

Signature#

calculate(data)

The divisor itself: market value divided by the target level. Small, and the number every other calculation in this domain is defined against.

Parameters#

NameTypeNotes
data{ marketValue: number; baseLevel: number }Total market value and the level it should represent.

Returns#

{ marketValue, divisor, indexLevel }

The divisor and the level it produces, echoed back for checking.

Errors#

  • When baseLevel is not positive — throws

Complexity: time O(1), space O(1).

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
{
  "marketValue": 125000000,
  "baseLevel": 1000
}

Call#

calculate(data)

Returns#

object with 3 fields: marketValue, divisor, indexLevel

{
  "marketValue": 125000000,
  "divisor": 125000,
  "indexLevel": 1000
}

Diagrams#

Index Divisor Initialization — article hero
Index Divisor Initialization — failure guard
Index Divisor Initialization — worked example

Calculation flow#

Index Divisor Initialization 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 Index Divisor Initialization"]
    E --> F["Recompute invariants"]
    F --> G{"Checks pass?"}
    G -->|No| D
    G -->|Yes| H["Publish audited output"]
Index Divisor Initialization 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#

The rest of the Index Initialization and Continuity family#