What type of loan would allow homeowners to utilize the equity built up in their home without having to sell?

An accelerated mortgage is designed for homeowners who wish to pay off their mortgage quicker by making larger monthly payments or adding extra payments. This option does not provide access to home equity and does not serve the purpose of allowing homeowners to utilize their home equity without selling.

A graduated payment mortgage features lower initial payments that gradually increase over time. While this structure can aid in managing cash flow, it does not facilitate the use of home equity by the homeowner. Instead, it simply restructures payment terms without leveraging the equity built up in the property.

In a sale-and-leaseback arrangement, the homeowner sells the property and then leases it back from the new owner. This option does provide access to cash from the sale but involves relinquishing ownership of the home, thus not achieving the goal of utilizing equity without selling the property.