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

An accelerated mortgage is a type of repayment plan where borrowers pay off their loans more quickly than the standard schedule. While this can reduce the overall interest paid, it does not provide homeowners with access to their home equity without selling or refinancing. Therefore, it does not meet the criteria of utilizing equity without selling the home.

A graduated payment mortgage features lower initial payments that gradually increase over time. This type of loan is structured to accommodate borrowers who anticipate future income growth. However, like the accelerated mortgage, it does not allow homeowners to access their home equity without selling and thus is not applicable to the question.

A sale-and-leaseback transaction involves selling a property and then leasing it back from the buyer. While this method allows homeowners to access cash from the sale, it requires them to relinquish ownership of their home, which contradicts the need to utilize equity while continuing to own the property.