Cash-Flow Timelines and Net Present Value

Install and import#

bash

npm install fintech-algorithms

import { cashFlowTimelinesAndNetPresentValue } from "fintech-algorithms/financial-mathematics-statistics-and-data-foundations/financial-arithmetic-time-value-and-returns/cashflow-npv";

Signature#

cashFlowTimelinesAndNetPresentValue(input)

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#

input

{
  "principal": 1000,
  "rate": 0.05,
  "periods": 3,
  "compoundsPerPeriod": 12,
  "futureValue": 1200,
  "cashFlows": [-1000, 400, 400, 400],
  "startValue": 100,
  "endValue": 110,
  "returns": [0.1, -0.05, 0.08],
  "frequency": 12,
  "periodicReturn": 0.01
}

Call#

cashFlowTimelinesAndNetPresentValue(input)

Returns#

object with 2 fields: npv, presentValues

{
  "npv": 89.29921174819128,
  "presentValues": [-1000, 380.95238095238096, 362.81179138321994, 345.5350394125904]
}

Diagrams#

Calculation flow#

Cash-Flow Timelines and Net Present Value — four-part map

flowchart LR
    A["Name the input"] --> B["Apply: NPV = CF0 + CF1/(1+r)^1 + CF2/(1+r)^2 + ..."]
    B --> C["Check units and boundary"]
    C --> D["Explain the output"]

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#

CFA_TVM - Time Value of Money in Finance — CFA Institute
CFA_QM - CFA Institute Quantitative Methods Study Session — CFA Institute
Author-derived and synthetic boundary