Jump to
Menu
Sign up Sign in

Phone Contract or Buy It Outright?

Algebra

A 24-month contract feels cheap because the numbers are small. Add them up, compare with buying the phone and a SIM-only deal, and find the interest rate hiding inside the contract.

Where this idea comes from

Start here β€” this is the source that inspired this exploration.

Introduction

Pick a phone you actually want. There are two honest ways to own it: pay full price today and add a cheap SIM-only plan, or sign a 24-month contract with nothing (or little) up front. The contract spreads the cost β€” but spreading cost is exactly what a loan does, and loans charge interest. Somewhere inside that monthly figure is an interest rate nobody printed on the poster. Real deals are a few clicks away, so the whole investigation runs on data you collect yourself β€” and it may genuinely change what you do when your contract is next up.

Guiding Questions
  • Choose one phone and collect real prices: the handset bought outright, a cheap SIM-only plan, and two or three 24-month contract offers for the same phone.
  • Total each route over the full two years. How big is the gap β€” and does the cheapest route change if you keep the phone a third year?
  • The contract is really a loan for the handset. Work out what the contract charges you per month for the phone alone, then find the interest rate that turns the shop price into those payments.
  • Compare that hidden rate with what a bank would charge, and with what your savings would earn. When, if ever, is the contract the rational choice?
  • Your comparison rests on assumptions you chose. Change one β€” your choice β€” and see whether the winner changes.
Start Your Exploration
Log in to favorite ideas and create drafts
Log In to Get Started
Key Mathematical Concepts
Data Collection Sequences Financial Mathematics Decision Making Interest Rates
Share this idea