There are many problems with extended warrqnties that most people do not consider:
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Asymmetric Information. The car company has a lot more data on what fails and how expensive it is to replace than you do. Therefore, it’s very hard to tell whether or not an extended warranty is a good value.
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They get your money to use in advance. You pay for an extended warranty up front, but the company doesn’t risk the costs until the primary warranty is over. That may mean they get to use and invest your money for 5-10 years before they have even a risk of paying out on the policy. Or look at it another way: If you took $1,000 and instead of buying a warranty you invested it, when the main warranty ends you would have a lot more than $1,000 in your repair account.
In engineering, the reliability of a complex product can be depicted as a ‘bathtub curve’. Failure rates are high at the beginning, due to manufacturing defects and possibly design flaws. Then as all those get worked out, the failure rates drops and stays low for a long time. This is the ‘normal lifespan’ part of the curve. Then eventually, failure rates start to rise as parts naturally wear out. Hence the bathtub shape, or a ‘U’ with an extended flat bottom.
The factory warranty is designed to cover you in case of product defects or workmanship, and lasts until the car reaches the ‘normal wear’ phase of low failures (the bottom of thr tub). The extended warranty is designed to cover this area, where failures are low anyway, and they always expire before you get to the ‘end of life’ rise in failures due to normal wear.
In other words, you are paying for insurance which only covers the period during which the product is the most reliable.
Now, some parts wear out earlier than others, so you’ll note that car extended warranties are often very specific about what they do and don’t cover. Again, asymmetric information. The car companies know more than you do about what’s likely to fail early, and they’ll exclude those from the warranty.
The only time an extended warranty makes sense is if you know something about your usage that the other party doesn’t, and can therefore take advantage of your own asymmetric information. For example, if an iPhone extended warranty covers you if you drop your phone in water and you have a toddler who likes to throw phones in the toilet, maybe the extra warranty is a good idea. Every case is different.
My advice is this: Open a bank account specifically for repairs. Every time you are offered an extended waeeanty refuse it, but put the money it would have cost into your repair account. That account should grow over time, because the repairs on any products will drain your account more slowly than deposits of saved warranty money will grow it.
That would also be a good account to use to start saving for huge repairs you know are coming, such as replacing a roof on your house, buying new appliances at end of life, etc.