Answer: It depends.
Mortgage insurance is required on all FHA loans, and you do have options when it comes to conventional loans. If you put less than 20% down with a conventional loan, you are required to pay mortgage insurance, but it can take different forms. Either you choose to opt for an additional monthly charge that eventually drops off once you hit 20% equity, or an upfront which is paid by the lender and built into the interest rate for the life of the loan.
For jumbo loans, there is no mortgage insurance required, no matter how little your down payment is. The RedDoor app makes it easy to compare down payment options with and without mortgage insurance.