Intelligence Articles

Written analysis of the arithmetic the calculators run: where the formulas come from, which assumptions dominate a result, and how to read a projection without being misled by it.

Written by , Editor

Reviewed by Ugo Candido, MBA

Last reviewed

All 10 articles

  • Present Value vs. Future Value: Compare, Calculate and Understand the Difference

    Present value is what a later amount is worth today. Future value is what today's amount becomes later. One equation solved in opposite directions: use present value to price an offer you are given, future value to project a plan you are making, and move both cash flows to the same date before comparing them.

    Fundamentals38 min readUpdated 2026-08-26/articles/present-value-vs-future-value/
  • Compound Interest vs. Future Value

    One is how the balance grows, the other is what it grows to. Confusing them makes rate quotes hard to compare.

    Fundamentals7 min readUpdated 2026-08-16/articles/compound-interest-vs-future-value/
  • Beginning vs. End-of-Period Contributions

    The whole difference is one period of growth, applied to every deposit. That makes it small, predictable and free.

    Contributions6 min readUpdated 2026-08-16/articles/beginning-vs-end-of-period-contributions/
  • How Interest Rates Change Future Value

    A one-point change in an assumption nobody can observe moves a 30-year projection by a quarter. That is a reason to run scenarios.

    Assumptions7 min readUpdated 2026-08-16/articles/how-interest-rates-change-future-value/
  • Future Value of Retirement Savings

    Retirement projection is future value on a long horizon, with two complications: inflation, and the fact that the target is an income rather than a sum.

    Retirement8 min readUpdated 2026-08-16/articles/future-value-of-retirement-savings/

How these articles relate to the tools

Each article explains one part of the math that the calculators apply, with worked figures produced by the same engines that power the tools. Where an article shows a table, that table was generated from the calculation modules rather than typed by hand.

If you want the number rather than the explanation, start with the future value calculator or browse the full tool list.

About the author

This page was written by , editor of Quantus Tools & Intelligence, who is the named author of the calculator documentation and the written analysis published on this site.

It was reviewed before publication by Ugo Candido, MBA, and last verified on . The editorial policy sets out what that review checks and how a correction is made.