September 19, 2018 | Posted by Nick Imholte
Clock Image
9 Minute Read

In this season, as kids go back to school and adults begin to prepare for the close of another year, we're going back to compliance basics for a few quick refreshers. On our list: Regression Analysis. In this post, you'll learn everything you need to know about Fair Lending Regression Analysis. In it, you'll learn who Regression Analysis is a good fit for, when and why to consider it, and much more. In keeping with the back-to-school theme, you'll also have a chance to get a refreshed, updated Fair Lending Regression Analysis Primer. 

If you're in compliance, you've probably heard about Regression Analysis. That said, unless you're a statistician like me, just the thought of running Regression might make you nervous. But Regression Analysis doesn't have to be scary.

In this post, you'll learn the answers to 9 important questions about Fair Lending Regression Analysis and whether it can help you.

At the end of this post, you'll also have a chance to download the Regression Analysis Primer, which provides even more in-depth details about Regression Analysis, and when it can help! Let's get to those 9 questions...

compliance-analysis-reports1. What is Fair Lending Regression Analysis?

Regression Analysis is a statistical model used to better understand the relationship between different variables. It helps us look at different factors or variables to identify causes and account for discrepancies.

For Fair Lending, it analyzes different factors or variables (like DTI, LTV, and FICO) in aggregate to explain the disparities, and determine what is important to focus on and dig into further. It allows you to really analyze and understand other factors that may help explain decisioning and pricing disparities.

Regression is an ideal tool for analyzing loan data to determine if prohibited basis factors had any bearing on either the credit decision or the price of the loan. 

2. What is the Objective of Regression Analysis?

The primary objective of regression analysis is to explain disparities in the data with more in-depth analysis of different factors.

Regression is intended to eliminate the need for line-by-line comparison. It looks at everything in aggregate and hopefully can use the variables to explain the disparity.

For Fair Lending, the goal is to identify similarly-situated applicants or borrowers, and determine if they received a similar decision or price. Regression will determine if age, race, gender, ethnicity or another prohibited basis factored into the decision to make the loan, or its pricing. 

Regression Analysis can:

  • Explain credit and pricing decisions to determine if a prohibited basis factored into the credit decision or loan price.
  • Find the most creditworthy protected class applicants, based on the institution's data.
    • In underwriting, it can help identify what credit characteristics define a creditworthy applicant for the institution by observing the institution's data set.
    • In pricing, it can help predict the APR and Note Rate, and identify instances where the pricing was higher than the model expected.
  • Investigate “outliers,” like loans that were denied or priced higher/lower than the model predictions.

3. Who Should Consider Fair Lending Regression Analysis?

Regression Analysis is a great fit for institutions who:

  • Have 1,000 or more applications to analyze.
    • High volume lenders and more complex lenders may more substantial analysis. For those institutions, Regression is a perfect fit.
    • The smaller the data set, the less likely regression analysis will provide valuable insights.
  • Have already identified disparities in their data that are statistically significant, but they aren't exactly sure what is driving the disparities.
  • Want or need a deeper understanding of the story their loan data tells.
    • Sometimes, examiners will recommend Regression Analysis before or during an exam.
    • More complex institutions may also be taking a proactive approach to understanding their data. They may also have identified issues internally, and want to dig in before the next exam.
    • With the publicly available HMDA Plus data, Regression Analysis might become even more important to regulators, and thus to you.

4. Why is Regression Analysis Used for Fair Lending Compliance?

compliance-analysis-team-trupointWe need Regression Analysis for Fair Lending because pricing and underwriting are complicated. There are a whole slew of factors that go into pricing alone; it can seem simple but the reality is almost always more complex. Regression helps navigate that complexity and provide data-driven insights.

In Fair Lending compliance, you're looking at lots of credit characteristics, and Regression can help identify which ones are relevant to explaining disparities.

Remember, disparities don't always mean discrimination, but analyzing your data is the only way to know for sure.

[Read Also: 5 Questions to Learn if Fair Lending Regression Analysis is Right for You!]

5. What Kind of Loans Can Regression Analysis Analyze for Fair Lending Compliance?

Technically, you could analyze any set of loan data using Regression. However, Regression Analysis is typically used for HMDA analysis, indirect auto lending analysis, credit card, and consumer loan analysis. 

6. What Specific Fair Lending Data is Needed for Regression Analysis?

The data needed depends on the customer's goals, and the type of lending being analyzed. The key data points needed to run regression analysis for both underwriting and loan pricing may include: Credit Score, Loan-to-Value (LTV), Debt-to-Income (DTI), Interest Rate, APR, Loan Officer ID, Branch ID and Loan Term. Depending on your institution and your risk profile or the types of Regression Analysis you're conducting, different data fields may be needed. 

HMDA/Mortgage regression analysis for underwriting and pricing will need (at a minimum):

    • Certain demographic characteristics that are not currently required by HMDA may still be valuable to analyze, such as applicant age.
  • FICO
  • LTV
  • DTI
  • Rate Type (Fixed, ARM), for Pricing
  • Loan Term, for Pricing
  • Rate Lock Date, for Pricing
  • Lock Days, for Pricing

For auto lending regression analysis, we're either conducting decisioning analysis or interest rate analysis. Indirect auto lending regression analysis will need:

  • Applicant Name and Address, for proxy assignments
  • Dealer Identifier
  • Dealer Margin
  • Buy Rate
  • Credit Score
  • Loan Term
  • Vehicle Age

For decisioning, we will analyze any decisioning factors that your institution considers important.

To analyze dealer mark-up, we would conduct a different type of analysis called comparative analysis. To do this, we would need the data on the rate sheet. That typically is the credit score, loan term, and vehicle age.

Credit card and consumer lending regression analysis will need:

  • Applicant Name and Address, for proxy assignments
  • Credit Score or FICO
  • LTV
  • DTI
  • Loan Term
  • APR or Interest Rate
  • Any other factors you're using to price and underwrite your loans.

7. Are Other Factors Considered in Regression Analysis?

Yes! This is part of what makes Regression such a powerful tool - it can really accommodate a lot of different variables.

For example, some other factors that may influence the credit decision or pricing, and may need to be considered are:

  • Special offers or promos;
  • Specific loan programs;
  • The relationship of the borrower;
  • Market-based differences in pricing; and/or
  • Individual review of credit information.

8. When Doesn't Regression Analysis Work?

As mentioned above, Regression is not an effective tool for small data sets. The larger the file, the more meaningful the predictive regression model. We recommend at least 1,000 records.

In addition, Regression will not work when there is little or no variation in the dependent or independent variables. For example, if the data contains:

  • All or No Protected Class Applicants.
  • All or No Denied Applicants.
  • All or No Denied Protected Class Applicants.
  • No variation in rates.

9. What Should I Know Before Starting Regression Analysis?

Regression is a deep dive! Before starting, consider the quality or integrity of your data, and determine what type of analysis is best for you. At least a cursory review of data integrity is useful for expediting the process. For example, make sure that everyone has a state, action, and that there are no negative credit scores.

Before conducting Regression, start with more basic Fair Lending analysis. That way, you'll know where to focus your efforts. If you're only lending to white, non-Hispanic borrowers, Regression won't help you much. Or, if you have a Redlining issue, Regression is not an appropriate tool for managing risk.

Consider regression when your origination, denial, or price disparity rates are high, indicating potential Fair Lending risk.

TRUPOINT Viewpoint: Regression analysis is a powerful Fair Lending compliance tool that TRUPOINT has provided to financial institutions for years. We work with many of the top mortgage companies, financial institutions, and law firms to conduct Fair Lending Regression Analysis and reduce compliance risk.

If you're interested in learning more about how we can help you with your Fair Lending Regression Analysis, please click here to set up a time to talk with an expert. TRUPOINT's Fair Lending Regression Analysis is different, because it is supported by guided analysis reviews, a team of experts, and even help during exams, if needed. This custom analysis delivers insights that your team can use to actively manage and reduce risk.

In the meantime, check out this Regression Analysis Primer:



Nick Imholte

Nick Imholte

At TRUPOINT, I'm our in-house statistician responsible for regression analysis. I love how I'm constantly learning something new, whether it be an aspect of mortgage lending from Justin or Mark, or a simple line of Python code from Scott. Before joining the team and relocating to Charlotte, I taught a variety of math courses at colleges and universities for more than 10 years. That role took me from Nebraska back to my home state of Ohio. In my free time, I love spending time with my wife and our daughter, Layla, and playing both board and video games. In fact, I held the record for fastest completion of Mega Man 2, Buster Only, with a time of 33:42. My record stood from June 2014 until May 2017.