Predictive Insights AI · Book
Contents
  1. Introduction
  2. Ch 0 · DataFest
  3. 1.1 Data exploration
  4. 1.2 Intro to modeling
  5. 1.3 GLMs
  6. 1.4 GLMs for classification
  7. 1.5 Classification metrics
  8. 1.6 More GLM topics
  9. 1.7 Variable selection
  10. 1.8 Tree-based models
  11. 1.9 Unsupervised learning
  12. Ch 2 · Cybersecurity
  13. 3.1 Health costs case study
  14. 3.2 Apartment applicants
  15. 3.3 Titanic case study
  16. Ch 4 · Tools
  17. Ch 5 · Seven mistakes
  18. Ch 6 · Entrepreneurship
  19. Wrap-up
  20. Appendix
  21. References
  22. PA R Study Manual

Predictive Analytics & Risk Modeling: For Insurance and Actuarial Science

Introduction: The Essentials of Predictive Analytics

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Why predictive analytics matters, what this book covers, and seven common mistakes on the SOA Exam PA.

Low angle view of a skyscraper

In 2017, my office was in the Prudential Tower. The following year, I was hired to work in the office next door—just steps away through the mall. Soon after, I worked for Milliman IntelliScript in Chicago in the heart of downtown, mere steps from the iconic Willis Tower, which rises 1,451 feet into the sky. A key fact about Chicago's business district, often referred to as the Loop, is that it is home to the Chicago Board of Trade (CBOT), established in 1848, one of the world's oldest futures and options exchanges. Located at 141 W Jackson Blvd, the CBOT is a National Historic Landmark and a central hub for global commodities trading, significantly shaping Chicago's financial prominence.

Later, I was accepted into the Capital Factory Startup program which is the most active venture capital investor in Texas since 2010, according to Pitchbook, supporting over 1,789 startups through investments, mentorship, and coworking space in its 81,000-square-foot facility in downtown Austin. As a founder and CEO, I collaborated with business leaders from around the world and found myself on stage pitching to venture capitalists.

Then, in 2023, I worked at Expedia Group and contributed to projects in an innovative tech environment. Nestled in Austin’s vibrant Domain, a sleek, tech-driven neighborhood named for internet domains, Expedia Group’s office buzzed with innovation. This modern hub, home to tech giants like Meta and Google, pulsed with energy. Just a short drive away in Round Rock stood Dell Technologies’ headquarters.

Predictive analytics provides us with a powerful tool to avoid such costly mistakes. Instead of merely reflecting on past events, predictive analytics enables us to forecast future trends, empowering smarter, proactive decisions across industries including finance, healthcare, cybersecurity, and beyond. With precise predictions, organizations can confidently navigate uncertainty, turning potential challenges into strategic advantages.
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www.PredictiveInsightsAI.com

Through this book, you’ll gain practical insights into predictive analytics, machine learning, and AI—equipping you with the skills necessary not just to understand, but to shape the future.

This book is more than just a technical manual; it’s a roadmap for anyone preparing for the Society of Actuaries’ Predictive Analytics (Exam PA) or seeking to master risk modeling in a rapidly evolving world. Over the years, I’ve had the privilege of teaching and mentoring over 500 paying actuarial students and thousands of online readers, including professionals at leading insurance carriers and global consulting firms. My students’ success stories—from passing Exam PA to advancing their careers at top-tier firms—are a testament to the effectiveness of the step-by-step approach and real-world case studies featured in these pages.

Inside, you’ll find:

My own journey toward actuarial credentials was filled with challenges, late nights, and hard-won breakthroughs. I know firsthand how daunting the path can be—but I also know the rewards that come from mastering these skills and earning your credential. This book distills everything I’ve learned from years of teaching, consulting, and working on the front lines of predictive analytics, so you can avoid common pitfalls and accelerate your own progress.

Whether you’re just beginning your actuarial journey or looking to sharpen your predictive analytics expertise, this book is your trusted companion.  Advance your career, and make a lasting impact in the world of data-driven decision making.

When a nurse or engineer makes a mistake, bridges come crashing down or people could lose their lives, but predictive analytics mistakes are equally costly. Actuaries work with financial values in the millions and billions of dollars. One small error or one mistyped parameter can spell financial disaster. For this reason, errors are not an option. If something goes wrong, hundreds of man-hours will be spent re-doing the calculation until it is corrected.

This is why the Predictive Analytics exam from the Society of Actuaries is so difficult to pass. The SOA doesn’t want actuaries who don’t fully understand predictive modeling to be using them in real life. Only the top 50% who truly master the material are given a passing grade.

At www.PredictiveInsightsAI.com, we have been coaching actuaries who are studying for this exam a 5-hour long test similar to a Kaggle competition. People spend 4-6 months preparing but only 50% pass.

If you’re preparing for Exam PA, you can pass on your first attempt by avoiding these common mistakes that we’ve noticed from coaching hundreds of actuaries at ExamPA.net. If you already use predictive models, you can reduce the risk of something going wrong. The SOA even has a special name for this process of reducing errors known as “model governance”.

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Code used to write this book: https://github.com/sdcastillo/PA-R-Study-Manual

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Seven common Exam PA mistakes

  1. Poor communication skills

Many people lose points on communication questions. This can be either using technical language when the audience is intended to be non-technical, such as a Sales or Marketing manager, or using technical language inappropriately. As an Actuarial Analyst, you are trained to be technical, but this exam tests your soft skills as much as it does your statistical chops.

One person was telling others how they scored well on the communication questions:

I remember the prompt was something like "remember, you are giving guidance, not giving them a model. From that, I only spent maybe one or two sentences talking about the model at all and the rest of the time talking about the impact of each significant variable."

This is an excellent example of talking about what your model does instead of how it does it. Actuaries often lose their audience by talking about technical details when all that the audience cares about is the benefit.

  1. Failing to explain their models clearly

Regardless of if you’re using a neural network or a decision tree, people like to see how your model “thinks”. This person scored very well on the communication questions by showing examples.

I received a 9 [out of 10] ... Made a table, one column for each factor and change in probability at the end, then changed one factor at a time in each row to show how the probabilities changed.

Earning 9 out of 10 points is a great score. Here’s an example of what this person is talking about. The model is predicting whether or not a person will be profitable for a health insurance company. The target variable is “Probability of High Profit”. Based on the person’s age, years of education, marital status, and hours worked per week, there is a prediction for the profitability of being high or low.

  1. Making mistakes during data manipulation

Data Manipulation is always a source of mistakes, and to make this double-painful, a mistake on the data manipulation has a chain-reaction effect of causing future model results to be incorrect. A common saying is “garbage in; garbage out” because no matter how powerful your machine learning algorithm is, if you put in bad data then you will get a bad result.

Here’s what one person said who failed that:

It appears that I did something very wrong on in training the GLM ... I didn't expect that. I must have done something very dumb, like overlooking partitioning the data, and training on the training set? 

They failed because they evaluated their model on the same data that it was trained on. Every data scientist knows that this leads to unrealistic model results, so how could such a mistake go unnoticed?

This type of mistake is common in other disciplines as well. Chess players are familiar with the concept of a “blunder”, which is when a player makes a very bad move that is usually due to carelessness or overconfidence. The key to avoiding these mistakes is practice, practice, and more practice. In chess, this takes the form of “tactical exercises”, which are mini scenarios which usually have only one correct move. For actuaries using predictive analytics, exam PA’s problems give you feedback to quickly improve.

  1. Not prioritizing time effectively

The exam is 5 hours and 15 minutes long, but almost everyone who takes it reports running out of time before completing everything. The exam has 12 separate tasks, and each count for between 3 – 20 points of the total grade. People often spend too much time on the low-priority tasks and not enough time on the important ones.

The entire report that you’ll need to write will be close to 20 pages. For those who don’t have English as their first language, this time factor becomes even more critical. Strategies which you can use to be more efficient with time are:

  1. Studying too much and not doing enough practice

Knowledge without experience is useless. Many people spend 200-300 hours studying machine learning theory but then fail because they lack sufficient experience. Actuaries are familiar with the “been there; done that” rule which says that when taking an exam, you never want to be caught by surprise but should always be able to say “I’ve been there and I’ve done that before”.

  1. Thinking only about the statistics and not the business context

Every model has advantages and disadvantages. There are no “silver bullet” algorithms. Some people say that a GBM is the closest thing to this, but this only makes sense if we are only considering the model’s performance. On Exam PA, you learn not only the statistical pros and cons, but also the business and IT-related ones.

Here are a few examples for the humble Decision Tree. There are similar lists for GBMs, Random Forests, as well as Linear Models. The non-statistical considerations are in bold.

Advantages:

Disadvantages:

  1. Making bad statistical assumptions

Did you notice that this was last on the list? While the stats are really important, it’s often the softer skills which actuaries overlook when using predictive analytics. It can be easy to forget that we are just trying to solve a problem and that statistics is just a tool that we use.

Another name for machine learning, which I personally prefer, is “statistical learning”, which Wikipedia defines as

“Statistical learning theory is a framework for machine learning drawing from the fields of statistics and functional analysis.”

It’s just math! And actuaries are good at math. Actuaries and actuarial analysts are among the best-qualified professionals to make use of today’s modern machine learning and AI tools because of their rigorous background in applied math and statistics.

All of that being said, one of the most common reasons for failing Exam PA is misunderstanding the statistical theory. When we feel overwhelmed with information, it’s tempting to rely on memorization, but this will always lead to failure when they encounter problems that we have not seen before. Some common examples from Exam PA are:

A graph of data on a black background

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