The Cone of Uncertainty

Timothy L. Coomer, Ph.D.

I wear a lot of hats here at SIGMA and the one that I enjoy the most is the role of teacher and communicator. I am always looking for an opportunity to support our agents/brokers with communication and educational materials. When I hear about a concept that is difficult for our clients to grasp, I attempt to prepare a “one pager” on the concept for our Powered by SIGMA broker portal.

In this blog, we will tackle the concept of "The Cone of Uncertainty." I was familiar with this concept from my days working in the "Star Wars" program that Ronald Reagan kicked off back in the 1980's. But, I had not thought about that term until Michelle Bradley, ACAS, MAAA, one of SIGMA’s consultants, mentioned a concern about whether or not clients fully understand the risk they assume when moving from a low retention to a higher retention. The term “Cone of Uncertainty” popped in my mind and I immediately saw this cool graphic that I thought would be helpful for brokers when explaining the realities of higher retentions.

First, let me set up a small case study for us to think about. You are the broker for a manufacturing firm that is growing rapidly. Three years ago they moved their workers compensation program from a guaranteed cost program to a $100,000 per occurrence deductible plan. After a fairly positive experience, they now want to consider a $500,000 per occurrence plan. For purposes of this simple case we will ignore the aggregate limit.

Typically, in order to make this decision you would look at the expected losses that the employer would retain at the $100,000 deductible and the expected losses the employer would retain at the $500,000 deductible level. Compare this difference in retained losses to the difference in premium and the decision is pretty straight-forward. Or, is it? By increasing the retention you have moved further up into the "Cone of Uncertainty" and have accepted an increased risk in the potential variability of losses.

SIGMA typically communicates this additional risk by completing a confidence interval analysis as part of the actuarial analyses completed for a client. I encourage you to read SIGMA’s Tech Talk: Understanding Confidence Intervals or download a copy of our booklet, Actuarial Advantage. Both can be found in SIGMA's complementary resource portal. Register here.

But, the purpose of this blog is to introduce our first SIGMA Graphic: Understanding the Cone of Uncertainty.

Let's look at the graphic below (also found in our resource portal)

Cone of Uncertainty

As you can see, the concept demonstrated in this graphic is that as you increase retentions you typically are also increasing the potential variability of total cost. This subtle point can be lost sometimes when a client faces the decision to change the retention level. I hope this graphic will help you introduce the topic of increased loss variability at higher retention levels. If you have questions or comments, please email me at TLC@SIGMAactuary.com

Like us on FacebookIf you would like access to this graphic along with all the other resources we have developed, please register (it's free!) at www.SIGMAactuary.com/register

Leave a Reply

Your email address will not be published. Required fields are marked *

Archives

Recent Posts

When Captives Require Multiple Actuaries: Key Considerations
In a recent article published by Captive International, Jason Luckett and Ben Brandon of Risk Strategies Consulting look at what happens when a captive sees the need to employ another actuary. Captive insurance companies can be a great tool, as they are uniquely capable of meeting the specific insu...
Read More
Navigating the Impact of Claims-made and Occurrence Policies on Loss Development
When analyzing insurance-related data, actuaries must always be cognizant of the nuances within the underlying policies, particularly when it comes to their impact on Loss Development Factors (LDFs). The complexities they present may grow more pronounced when the policy type changes over time or has...
Read More
Assessing Financial Strategies for Cyber Risk
The assessment tools available in RISK66 are an integral part of our platform, and we would like to thank those who have shared positive feedback over the years regarding their usefulness. Because of our desire to continue providing exceptional support to our RISK66 users, SIGMA is excited to a...
Read More
Exploring Loss Development Factors: SIGMA's Comprehensive Resources
In 2011, SIGMA’s Tim Coomer authored a blog titled "Understanding Loss Development Factors” in response to the numerous questions we received on the concept of loss development. Since then, it has become SIGMA’s most viewed blog of all time and continues to receive significant amounts of views...
Read More

Subscribe to Our Blog



hello world!
Copyright © 2023 – 2024 SIGMA Actuarial Consulting Group, Inc. All Rights Reserved.
chevron-down linkedin facebook pinterest youtube rss twitter instagram facebook-blank rss-blank linkedin-blank pinterest youtube twitter instagram