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.
We hope you find the information useful and we look forward to your feedback.
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Drivers of Discount PrepaymentsThoughts
As interest rates rise and fewer loans with refinancing incentive remain, other factors are primed to play a larger role in determining prepayment speeds in the coming months (and perhaps years). Turnover, the rate at which people move, is the most cited of these factors. In this blog post, we’ll consider two other potential drivers: curtailments, or partial prepayments, and mortgage payoffs that don’t involve taking out a new loan.
The charts below the rates of curtailment and payoffs in a sample of Fannie Mae loan level data[1].

Curtailments involve borrowers making additional payments beyond their amortization schedule yet short of paying off the full amount, i.e., people making an extra payment each month. In the charts we can see the rate rising slightly over time (which is mainly attributed to age; this data only has loans originated after Jan 1999, so the earlier months are limited to younger loans) and settling into a rate around 1.5-2.5 CPR. However, there was also a bit of a jump during the pandemic, which can perhaps be attributed to borrowers having extra cash from stimulus payments.

Full payoffs involve paying off a mortgage completely without moving or taking out a new mortgage, which tend to occur if borrowers find themselves with enough cash to cover the outstanding balance. While this can’t be known with 100% certainty, we’ve estimated the rate by looking at payoffs with a remaining term of 36 months of less. These are unlikely to be refinances and while we can’t rule out the possibility of the borrowers moving, we observe payoff rates loans with short remaining terms to be dramatically above the baseline turnover level. In essence, this chart shows the percentage of loans with short remaining terms (low) multiplied by their payoff rate (high) to get the overall contribution to CPR. Like curtailment, the data takes a while to ramp up, but then settles into 1-3 CPR range.
Both series represent a small percentage of prepayments in normal environments, but a greater percentage of the overall level in a world without refinancing. While it’s not a given that these numbers will remain constant in the face of rising rates, it is likely that these factors won’t have quite the same sensitivity to rates as refinancing (this study found payoffs to be relatively flat at negative incentive[1]). If rates stay high, it may be useful to keep these factors in mind moving forward.
[1] https://www.philadelphiafed.org/-/media/frbp/assets/working-papers/2019/wp19-39.pdf
[1] https://capitalmarkets.fanniemae.com/credit-risk-transfer/single-family-credit-risk-transfer/fannie-mae-single-family-loan-performance-data
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.” -
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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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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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.