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

An accelerated mortgage refers to a repayment strategy where the borrower pays off the loan faster than the standard schedule, leading to reduced interest over time. This type of mortgage does not provide access to home equity; instead, it focuses on the speed of repayment, making it unsuitable for homeowners seeking to leverage their equity.

A graduated payment mortgage features lower initial payments that gradually increase over time. While this structure may help borrowers manage payments in the early years, it does not facilitate access to home equity. Homeowners looking to utilize their equity would find this option ineffective for their needs.

A sale-and-leaseback arrangement involves selling a property and then leasing it back from the buyer, allowing the original owner to remain in the property as a tenant. This option does not enable homeowners to access equity without selling their home; rather, it results in the loss of ownership, which contradicts the intent of utilizing home equity.