The 30-year fixed-rate fully amortizing mortgage (or “traditional fixed-rate mortgage”) was a substantial innovation when first developed during the Great Depression; however, it has three major flaws. First, homeowner equity accumulates slowly during the first decade. Many lenders require large down payments because of slow equity accumulation. Second, in each monthly mortgage payment, homeowners substantially compensate capital markets investors for the ability to prepay. The homeowners might have better uses for this money. Third, refinancing mortgages is often very costly. Expensive refinancing may prevent homeowners from taking advantage of falling rates.To resolve these three flaws, we propose a new fixed-rate mortgage, called the Fixed-Payment-COFI mortgage (or “Fixed-COFI mortgage”). This mortgage has fixed monthly payments equal to payments for traditional fixed-rate mortgages and does not require a down payment. Also, unlike traditional fixed-rate mortgages, Fixed-COFI mortgages do not bundle mortgage financing with compensation paid to capital markets investors for bearing prepayment risks; instead, this money is directed toward lower monthly payments or toward purchasing the home. The Fixed-COFI mortgage exploits the often-present prepayment-risk “wedges” between the fixed-rate mortgage rate and the estimated cost of funds index (COFI) mortgage rate. In addition, the Fixed-COFI mortgage is a highly profitable asset for many mortgage lenders.We discuss two variations of the Fixed-COFI mortgage. In the first variation, homeowners with “Affordable” Fixed-COFI mortgages are rebated the “wedges” between the traditional fixed-rate mortgage payments and the COFI mortgage payments. After the “wedges” are rebated, these homeowners may pay substantially less to purchase their homes in 30 years than homeowners with traditional fixed-rate mortgages. This mortgage design may help alleviate housing affordability pressures in many areas of the United States.The other variation of Fixed-COFI mortgage is the “Homeownership” Fixed-COFI mortgage. With the “homeownership” Fixed-COFI mortgage, the homeowner commits to a savings program based on the difference between fixed-rate mortgage payments and payments based on COFI plus a margin. The homeowner uses this “wedge” to accumulate home equity quickly. The Homeownership Fixed-COFI mortgage may help some renters gain access to homeownership. For example, these renters may be paying rents as high as comparable mortgage payments in high-cost metropolitan areas but may not have enough savings for a down payment. With less need for a down payment, the Fixed-COFI mortgage may help such renters with stable income—but no savings—purchase homes.