Are Extended Warranties Ever Worth It? The Expected Value
Warranty maths retailers hope you never do: premium vs failure odds x repair cost. Why most UK cover is -EV, and the one case where it isn't.

What is the expected value of an extended warranty?
One multiplication the retailer hopes you skip
The expected value of any insurance-like product is simple: what it pays out, times the probability it pays out, minus what it costs. For an extended warranty:
EV = (probability of a covered failure x average benefit) - premium
Everything the salesperson says at the till is an attempt to make you feel the first term and forget the second. So put numbers on it. Which? found UK extended warranties cost an average of £84.80 a year, and a big-brand washing machine plan from AO starts at £6.99 a month - £419 if held for the full five years, close to the price of the machine it covers. Currys' multi-year Care & Repair plans run from £90 to £250 depending on the product.
Against that premium, the benefit is a repair (typically £120-£220 for a domestic appliance call-out plus parts) or, if it can't be fixed, a replacement voucher. The failure probability is the number nobody quotes at the till - and it is doing all the work.
How do the numbers actually fall out?
A worked example you can rerun with your own beliefs
Take a £450 washing machine with the usual one-year manufacturer warranty, and a five-year plan for a one-off £190 (mid-range for the plans above). The plan's incremental cover is years 2-5. Suppose the machine has some probability p of a breakdown in that window, an average repair costs £170, and total write-offs get a £450 replacement.
The breakeven failure probability if claims are repairs: £190 / £170 = 112%. Literally impossible - even a guaranteed single repair would not return the premium. If every claim were a full £450 replacement: £190 / £450 = 42%. The plan only breaks even if two in five machines die completely within five years.
Now plug in a generous real-world failure belief - say p = 20% in years 2-5, with claims split between repair and replacement (average benefit £250):
EV = 0.20 x £250 - £190 = -£140
You pay £190 for something worth £50 in expectation. Even doubling the failure rate to 40% leaves the cover £90 underwater. Retailers are not confused about this: warranty margins are among the best in electrical retail precisely because the premium is set several multiples above expected claims - a textbook negative expected value product from the buyer's side.
When is an extended warranty actually worth buying?
The rare +EV corner
The multiplication can flip positive when three things stack: a genuinely high failure rate, expensive repairs, and a cheap, long plan. A £35 five-year plan on a £1,200 appliance with a 25% failure probability and £400 average repairs has EV = 0.25 x £400 - £35 = +£65. Deals like that exist - usually manufacturer promotions (free or token-price extended cover for registering the product) rather than till-point retail plans.
Two other cases deserve a mention. First, genuinely fragile, heavily-used, costly-to-fix items (a laptop that commutes daily) can carry failure-x-cost numbers high enough to justify some price of cover - though accidental-damage insurance and the till-point warranty are different products, and the till price is rarely the cheap way to buy it. Second, if a surprise £400 bill would be genuinely unaffordable rather than merely annoying, insurance can be rational even at negative EV - you are buying protection from ruin, not maximising expectation. A washing machine rarely qualifies.
Why do we keep buying -EV cover?
Loss aversion, priced and sold back to us
What free protection do you already have?
The warranty you have already paid for in the price
UK law quietly covers a large slice of what extended warranties sell back to you:
- Consumer Rights Act 2015: goods must be of satisfactory quality and reasonably durable. If a fault is inherent (present at purchase, even if it surfaces later), the retailer is liable - you can pursue a repair, replacement or partial refund for up to 6 years in England and Wales (5 years from discovery in Scotland). After the first 6 months you may need to show the fault was inherent, but for a premature appliance failure that is often straightforward.
- Section 75 of the Consumer Credit Act: pay £100-£30,000 by credit card and the card issuer is jointly liable with the retailer for faulty goods - useful leverage if the retailer stalls or goes bust.
- Manufacturer goodwill and registration offers: many appliance brands offer free extended parts warranties (sometimes 5-10 years) just for registering the product - genuinely free EV, claimed in five minutes.
An extended warranty's incremental value is only what it pays beyond all of the above - mostly wear-and-tear failures that are not inherent faults, plus convenience (no arguing, one phone line). Convenience is worth something. It is rarely worth 3-5x the expected claims.
Frequently asked questions
Q01Are extended warranties ever worth it on cheap items?
Q02Is the Consumer Rights Act really as good as a warranty?
Q03What failure rate should I assume for appliances?
Q04Does paying monthly change the maths?
Q05What about accidental damage and gadget insurance?
Sources
- Which?: Worthless warranties - are you overpaying for faulty goods cover?
- Currys: Care & Repair plans
- gov.uk: Consumer protection rights
- Citizens Advice: getting your money back if you paid by card
Worked figures are our own calculations from the premiums and assumptions stated in the text; they illustrate the arithmetic and are not financial advice.
Run every purchase through the same lens
Extended warranties are one of six applied UK-finance decisions we work through with expected value. The Investing series collects them.