Insurance is a trade: you pay a small, certain amount so that someone else absorbs a large, uncertain one. When the large amount is something you could write a check for without flinching, the trade stops making sense, because every premium includes the insurer’s overhead and profit on top of the expected claims. That is the real payoff of a big emergency fund. It does not just cover surprises; it lets you stop paying other people to cover the surprises you can handle yourself.

“Big” is doing a lot of work in that sentence. The fund has to absorb the worst realistic loss and still leave a cushion for the next emergency, because emergencies do not take turns. How much that is, and where to keep it earning something in 2026, is covered in How Much Do You Really Need in an Emergency Fund. With that in place, three policies become genuinely optional. Each comes with caveats the original version of this advice skipped.

1. Short-term disability insurance

Short-term disability replaces part of your paycheck for a limited stretch, typically while you recover from surgery, an injury or a difficult pregnancy. If your savings could carry the household through that stretch, you are paying premiums for a check you could write yourself.

The caveats:

  • Check who is paying for it. Many employers provide short-term disability at no cost to you, and a handful of states run mandatory disability or paid-leave programs funded by payroll deductions. In either case there is nothing to cancel and no premium to save.
  • Know your long-term policy’s waiting period. Long-term disability coverage usually starts paying only after an elimination period of several months. Short-term coverage is designed to bridge that gap. Self-insuring it means your fund must cover the entire waiting period, not just a few weeks.
  • Never confuse it with long-term disability. A disability that lasts years is not an emergency-fund-sized problem; it is a lost-career-sized problem. Long-term disability stays on the never-cancel list no matter how much you have saved.

2. Collision coverage on an older car

Collision pays to repair or replace your own car after a crash, minus your deductible, and it never pays more than the car is worth. On a car that has been paid off for years and would sell for little, the most you can ever collect is small, while the premium keeps arriving every renewal. If you could replace the car from savings without disrupting anything else, the coverage is buying you very little.

The caveats:

  • A loan or lease takes the decision away. Lenders require collision and comprehensive until the loan is paid, and for good reason: without them, a totaled car leaves you making payments on scrap.
  • Raise the deductible before you drop the coverage. A high deductible captures much of the savings while keeping protection against a total loss. Dropping collision entirely is the last step, not the first.
  • Collision and comprehensive are separate decisions. Comprehensive covers theft, hail, floods and animal strikes, and it is often cheaper than collision because those losses are rarer. Review them one at a time. If the labels blur together, our explainer on the three types of car insurance people misunderstand sorts them out.
  • Liability is untouchable. This whole discussion is about damage to your own car. The coverage that pays for other people’s injuries and property is required almost everywhere and protects you from lawsuits no emergency fund can cover.

One related policy is worth declining even when you do finance a new car: the dealer’s gap add-on. Gap coverage itself is sensible when you owe more than the car is worth, but adding it to your own auto policy runs roughly $20 to $40 a year at major insurers, versus a flat dealer charge of $400 to $700 that is often rolled into the loan. Same protection, a fraction of the price.

3. Pet insurance

Pet insurance exists because a serious illness or an emergency surgery for a dog or cat can cost more than many owners can produce on short notice, and the alternative is a decision no one wants to make at the vet’s counter. If your emergency fund could absorb that bill, you can carry the risk yourself.

The caveats:

  • Cancel-and-rebuy does not work. Pet policies almost universally exclude pre-existing conditions. Once you drop coverage, anything diagnosed afterward will be excluded from any policy you buy later, so treat cancellation as permanent.
  • Decide your ceiling in advance. Self-insuring only works if you have actually decided what you would spend. Write the number down while the pet is healthy; it is far harder to set at 2 a.m. in an emergency clinic.
  • Premiums tend to climb as the pet ages, which is worth knowing whichever way you decide.

The one you never cancel

Long-term disability insurance protects the asset most working households never think to value: decades of future earnings. A big emergency fund covers a bad year. It does not cover a bad decade, and a policy that replaces a large share of your income until retirement is the only practical protection against one. The same logic applies to health insurance and liability coverage: the worst case is open-ended, so no reasonable amount of savings makes them optional. The policies almost everyone needs are covered in 4 Insurance Policies You Should Have in 2026.

How to decide, policy by policy

A policy is a candidate for cancellation only when all three are true: the worst realistic loss is one your fund could absorb without emptying it, no lender, employer or state rule requires the coverage, and you are committed to rebuilding the fund afterward rather than treating the savings as found money. Then bank the premium you stop paying. Self-insurance only works if the reserve grows into the job.