Welcome to The S-Curve
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The name of the blog, the S-Curve, is a reflection of our logo and the central feature of our prepayment model. S-curves are seen in nature in many phenomenon, from population growth to prepayment and default models. Our first S-curve, in the early 1990s, used the arctangent function, then piece-wise linear functions, and evolved over time to be more complex and vary by FICO, loan size and LTV. This evolution encapsulates both the timeless nature of fundamental relationships and constant innovation to describe them better over time.
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FRED Adds AD&Co’s GSE-and-Borrower-Option-Adjusted Spreads for CRT IndicesNewsAD&Co US Mortgage High Yield Indices
The Federal Reserve Economic Data (FRED) portal, housed by the Federal Reserve Bank of St. Louis, has been publishing AD&Co’s CRT indices since 2019. These series posted under the overall name of “US Mortgage High-Yield” include total return rates and credit and option-adjusted spreads (crOAS) – a projected return’s spread over Treasury (in the past, Libor). These series are available going back to 2014-end and tiered by CRT initial supports.
Tier 0 includes all CRTs with under-25 bps support; Tier 1 bonds have supports exceeding 25 bps, but not 95 bps; Tier 2 has support from 95 bps to 175 bps; Tier 3 – from 175 bps to 375 bps, and, finally, Tier 4 – above 375 bps. The actual bond’s name (As, Ms, or Bs) that matches each tier can vary over time and between Fannie Mae’s CAS and Freddie Mac’s STACR transactions. We define Mid-Tier as the aggregation of Tiers 1 through 3. A CRT to be included in an index must have a factor of 0.25 or higher.
While actual rates of investment return are computed model-free, crOAS levels come from the AD&Co model. Importantly, the crOAS indices that date back to 2014 do not account for the GSE call option embedded in a CRT and therefore overstate the expected return. See, for example, index CROASMIDTIER for Mid-Tier or index CROASTIER0 for Tier 0; the latter currently shows crOAS of about 600 bps.
What is New?
Over the last couple of years, AD&Co developed a model to account for embedded GSE calls. Most CRTs are now issued with a five-year call and a cleanup call. Exercised in the interest of the GSEs, those options reduce investor return. Our December 2024 Quantitative Perspectives[1] laid out the theoretical foundation of our methods. A subsequent September 2025 Pipeline article[2] listed results of the production analysis across the entire CRT cash market.
We have been using the new method in our CRT Monitor monthly publication for the last several months. We have also started sending the new series to FRED, which has adopted it with an announcement. The new crOAS series goes back only to June 30, 2025, and is reported by the same tiers as the previously computed ones. To indicate the difference in the series, the new series contains “GSE and Borrower Options-Adjusted Spread” in the names. A screenshot of FRED’s onboarding, showing all the indices together, is seen below.
Source: FRED As expected, the more protected CRTs are priced at tighter, more realistic, crOAS levels. They never reach many hundreds of basis points when the GSE option is accounted for.
[1] A. Levin and N. Salwen, Valuation of Credit Risk Transfer with Embedded Calls, Quantitative Perspectives, Dec 2024.
[2] A. Levin, Comparative Valuation of CRTs with and without Embedded GSE Calls, Pipeline 191, Sep 2025.
The S-Curve Archives
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EventsAt Andrew Davidson & Co., Inc. (AD&Co), our dedication to Diversity, Equity, and Inclusion (DEI) has been a cornerstone of our values. We established our DEI Committee in 2020, following the tragic murder of George Floyd. Despite the evolving landscape, including the recent U.S. Supreme Court decision impacting affirmative action in higher education, we remain steadfast in our commitment to fostering an inclusive environment that strengthens both our employees and the company.
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PodcastTune in to Eknath Belbase's interview with Michelle Stepien Breier & Richard Cooperstein as they discuss their latest Pipeline article “Improving Mortgage Data: A Data Exchange for the Mortgage Ecosystem.” -
EventsAndy and I recently attended AmeriCatalyst ‘Going to Extremes’ Climate, Housing and Finance Leadership Summit in Washington, D.C., a fantastic conference on all things related to climate risk and the housing ecosystem. While going over all the great speakers and broad expertise represented there would take a novella, I want to connect a few key ideas discussed there to our ongoing efforts in this area.
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EventsAt the recent AmeriCatalyst ‘Going to Extremes’ Climate, Housing and Finance Leadership Summit, I presented a session on how risks related to weather-related losses impact the housing finance system.
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ProductsAndrew Davidson & Co., Inc (AD&Co) is thrilled to announce an expanding relationship with a Third-Party Vendor! AD&Co enjoys working with countless analytical providers to offer our clients seamless solutions and we would like to welcome Milliman M-PIRe™ to the team!
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EventsThe Federal Home Loan Bank of San Francisco directed the Urban Institute to develop innovative and actionable ideas to close the gap between white and black homeownership rates, which is as wide today as before the Fair Housing Act, enacted 60 years ago. Homeownership is crucial to a fairer society because working and middle-class families most commonly create inter-generational wealth by owning homes with amortizing mortgages.
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EventsThe Data Foundation of Mortgage Finance
Homeownership is the largest source of wealth accumulation and inter-generational wealth transfer for the working and middle class. However, the non-interest cost of financing is always an obstacle for first-time and low-wealth buyers, and underserved populations.
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ThoughtsIn this blog post, we used the recently updated Mortgage Market Statistical Annual to examine the dynamics of residential loan origination by state and by market segments and highlight important trends.
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ProductsAndrew Davidson & Co., Inc. (AD&Co) is pleased to announce the official release of Kinetics v1.10, the latest update to AD&Co’s modular platform for running the AD&Co suite of analytics. This update introduces the Multifamily LoanDynamics Module, the newest way to run Multifamily LoanDynamics Model (LDM). Investors, servicers, insurers and lenders can leverage this new module to better understand the prepayment and credit risk of their multifamily mortgage portfolio.
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EventsAndrew Davidson & Co., Inc. (AD&Co) held a webinar on June 8th entitled “Lessons Learned: Insights for Managing the Interest Rate Risk of Banks.” Mickey Storms from our Alliances and Policies team, Alex Levin from our Financial Engineering team and Andrew Davidson were featured speakers.