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The Actuarial Edge

 

Insights

Do You Believe in Chaos?

by Bill Bartlett, FCAS, MAAA

 

Bill BartlettThe time is 1961: the place MIT. Edward Lorenz, a mathematician turned meteorologist, has developed a computer program that models weather patterns. Given the era, the computer was very rudimentary by today's standards and could not possibly track all the variables that would comprise realistic pictures of actual weather. Rather, Lorenz's model tracked changing wind and temperature patterns over time.  By changing the input variables, Lorenz was able to model many different patterns. Each line of output from the model represented patterns for one "simulated day."   

 

During the winter of 1961, Lorenz wanted to review one sequence of weather patterns in greater detail. Instead of restarting the program at the beginning Lorenz resumed the modeling sequence part way through by typing intermediate values previously printed out by the model. The input numbers contained only three decimal points but the model worked on numbers with six decimal places. Lorenz believed that the differences - one part in a thousand - would be inconsequential, but he was wrong.

 

Immediately, the computer veered off on a new sequence of outputs and as the "simulated days" went on, the results diverged even more.  To Lorenz's credit, he realized that this was not a failed vacuum tube in his computer nor a programming error - he was witnessing a fundamental principal underlying non-linear dynamic systems[1] - what came to be called CHAOS. Most importantly, the results from his computer never intersected old values or repeated themselves; that is, non-linear dynamic systems will not be self-corrective.

 

This characteristic of Chaos came to be called the "Butterfly Effect":

Butterfly Effect


If a Butterfly Flaps Its Wings in Beijing, Will That Impact Weather in New York?

Slight changes in initial values or small nonlinearities in extraneous values will impact results.

Another key characteristic of non-linear dynamic systems is the principle of "FeedBack" - what happened yesterday impacts current results.  In Chaotic systems - "what comes out, goes back in, is transformed and comes back out."  The chaotic process is iterative in that the past is influenced by its past, etc.

 

[1] By dynamic system we mean a system of equations in which the output of one equation is part of the input for another.  A non-linear dynamic system is comprised of non-linear simultaneous equations.  Non-linearity implies that the relationships between variables are not ones of direct proportion.

 

 

Actuarial Challenge

 

Tic Tac Toe

presented by Bill Bartlett, FCAS, MAAA


Arrange the numbers 1-9 in the squares below so that they add up to 15 in all directions. (horizontal, diagonal, and vertical).  Use each number only once.

3x3 Actuarial Challenge

 

Email Sherri Roshitsh for a hint.

 

 

 

 

Todays Tip

 

"Empower one and all to vigorously seek WOW! in their work/projects."

 

Quote by Thomas Peters, author of many books on business including In Search of Excellence

 

For more information about Bartlett Acturial Group, please visit our web site at www.bartlettactuarialgroup.com.

 

Bartlett News

 

Bartlett Actuarial Group's Brian Johnson Attains his ARM Designation

Brian JohnsonBrian Johnson passed the three qualifying Associate in Risk Management Examinations to attain the ARM designation in December 2010. Brian joined Bartlett in 2004 and provides property and casualty actuarial services to a broad array of clients nationwide.
Brian may be
reached by email or at 843-377-0993.

 

Bartlett Actuarial Group Provided Actuarial Services for the 100th Captive in Delaware. 

Brian Johnson, ACAS, MAAA, attended the Delaware celebration of its 100th captive in Wilmington on March 8. Our firm was proud to provide actuarial services to the 100th captive. Legaré Gresham, FCAS, MAAA serves on the board of the Delaware Captive Insurance Association

 

Bartlett Actuarial Group Celebrates 10th Anniversary

Bartlett Actuarial Group will be celebrating this major milestone with a number of events for our friends in the insurance industry throughout 2011.  We will kick off our celebration in Charleston, SC followed at later dates by events in Phoenix, AZ and Burlington, VT. Our firm has grown from its roots in the captive insurance industry to providing actuarial support to state regulatory agencies, traditional insurance companies, life and health programs, expert witness services and mergers and acquisitions. It has been an exciting decade and we are looking forward to many exciting opportunities ahead.

 

Insurance Funding Program Launched

Jeff AltmanJeff Altman, FSA, MAAA has played a key role in the design of an insurance funding program whereby our firm and its partners can assist life insurance companies raise funds to securitize redundant reserves through the sale of bonds.  Jeffrey may be reached via email or by phone at (917) 842-4945.

 

 

Events

 

·         CICA -Tucson, AZ
March13-15, 2011  

·         USA Risk - Charlotte, NC
May 25-26  

·         MCIA - Whitefish, MT
July 12-14, 2011  

·         VCIA - Burlington, VT
August 9 - 11, 2011  

·         SCCIA - Charleston, SC
September 12- 14, 2011  

·         WRCIC (AZCIA, UCIA, MCIA)
Salt Lake City, UT
September 26-29, 2011  

·         CIC-DC - Washington, DC
October 24-25, 2011  

·         NCIA - Las Vegas, NV
TBD  

·         KCIA - Louisville, KY
November 2-3, 2011  

·         Cayman - Grand Cayman
November 29 - December 1, 2011

About Us
Bartlett Actuarial Group, Ltd. is an independent property and casualty actuarial and risk management consulting firm offering services to a nationwide clientele. We develop the mathematical models and analytical tools that help our valued clients quantify, evaluate, and manage the costs associated with their insurance and risk management.

South Carolina:  145 King Street, Ste 203  |  Charleston, SC 29401  |  843-377-0993
Vermont:  289 College Street  |  Burlington, VT 05401  |  802-861-3072
Arizona:  4700 E. Thomas Road #106  |  Phoenix, AZ 85018  |  602-956-3293
New York:  137 East 36th Street, 19F  |  New York, New York 10016  |  917-842-4945

 

 

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Bartlett Actuarial Group, Ltd | 145 King Street #203 | Charleston | SC | 29492