Exam LTAM Study Plan: Written Answer and Multiple Choice Strategy

Study Plan Structure

Exam LTAM covers life contingencies, including life tables, insurance and annuity valuation, premiums, reserves, multiple life and multiple decrement models, pensions, and multi-state models. Allocate approximately 400 study hours over 4 to 6 months. Begin with core concepts (life tables, insurance and annuity APVs) in months 1 and 2, then move to premiums, reserves, and advanced topics in months 3 and 4. Dedicate months 5 and 6 to practice exams and written answer preparation. Use the SOA syllabus as your roadmap and ensure all learning objectives are covered.

A typical weekly schedule during the first four months might involve 15 to 20 hours of study per week. During the final review phase, increase this to 20 to 25 hours if possible. Break each study session into focused blocks of 60 to 90 minutes with short breaks in between. Active study methods such as working problems, writing out derivations, and teaching concepts to a study partner are far more effective than passive reading.

Month by Month Breakdown

In months 1 and 2, focus on the foundational material: life tables, survival functions, force of mortality, and the actuarial present value (APV) of basic insurance and annuity contracts. Cover whole life, term life, and endowment insurance along with whole life and temporary annuities. Master the relationships between insurance and annuity values, particularly the identity A_x = 1 minus d times a-double-dot_x. These relationships serve as powerful verification tools throughout the exam.

In months 3 and 4, tackle net premiums, gross premiums, and benefit reserves. Understand the prospective and retrospective reserve formulas and practice Thiele's differential equation for continuous reserves. Then move to advanced topics: multiple life models (joint life and last survivor), multiple decrement models (competing risks), pension mathematics, and multi-state Markov models. These topics build on the foundations from months 1 and 2, so ensure you have a solid grasp of basic insurance and annuity calculations before proceeding.

In months 5 and 6, shift your focus entirely to exam preparation. Work through full practice exams under timed conditions. Review SOA released exams from previous sittings. Identify weak areas and revisit those topics with targeted problem sets. Spend dedicated time on written answer practice, which requires a different skill set than multiple choice preparation.

Written Answer Strategy

The written answer section requires clear, organized responses showing your work. Practice writing solutions under timed conditions. Label steps clearly, state formulas before substituting values, and show intermediate calculations. Partial credit is awarded, so attempt every part even if uncertain. When writing solutions, use clear notation consistent with the SOA syllabus. Define any non-standard symbols you introduce.

Structure your written answers with a logical flow. Start by identifying what the problem is asking and what information is given. State the relevant formula or principle. Substitute values and show the computation. Circle or clearly mark your final answer. If a multi-part problem builds on previous parts, reference those results explicitly (for example, "Using the value of A_x found in part (a)").

Time management is critical for written answers. Allocate your time proportional to the points available for each question. If a question is worth 8 points out of 40 total, spend roughly 20% of your written answer time on it. If you get stuck on a part, write down the approach you would take, state any formulas you would use, and move on. Partial credit for a correct approach can salvage valuable points.

Multiple Choice Strategy

For multiple choice questions, practice with SOA released exams and adapt to the question style. Key strategies include eliminating obviously wrong answers, checking boundary cases, and using relationships between insurance and annuity values to verify answers. Many LTAM multiple choice questions can be checked by substituting extreme values of parameters (such as setting the interest rate to zero or the mortality rate to 1) to verify that your answer behaves correctly.

Build speed by recognizing common problem patterns. Many questions follow templates: compute a reserve at time t, find the net premium for a modified contract, or calculate the APV of benefits under a multiple decrement model. The more problems you work, the faster you will recognize these patterns and execute the required calculations without hesitation.

When stuck between two answer choices, use estimation techniques. Compute rough bounds on the answer using simpler models or limiting cases. For example, a temporary life annuity must be less than a whole life annuity, which in turn must be less than a perpetuity-due of 1/d. If only one of the remaining choices falls within your bounds, it is likely correct.

Integrating Both Sections

The key to success on Exam LTAM is recognizing that the written answer and multiple choice sections test overlapping content but require different skills. Multiple choice questions reward speed and pattern recognition. Written answers reward depth, clarity, and the ability to show logical reasoning. Your study plan should develop both skill sets in parallel rather than focusing on one at the expense of the other.

During practice exams, simulate the actual exam conditions as closely as possible. Work the multiple choice and written answer sections in the order and timing specified by the SOA. Review your performance afterward, paying attention not just to what you got wrong but also to what took too long. Efficiency gains from repeated practice can add several points to your exam score.

Common Pitfalls and Final Tips

Students often underestimate the breadth of Exam LTAM. Unlike preliminary exams that focus on a single topic area, LTAM spans nearly the entire life contingencies curriculum. Do not skip topics, even if they seem minor. Multi-state models, pension calculations, and participating insurance questions appear regularly and are easy points if you have prepared.

Another common mistake is neglecting the written answer section until the final weeks. Written answer skills take time to develop. Start practicing written answers by month 3, even if you focus on simpler problems at first. Reviewing SOA sample solutions teaches you what graders expect and how much detail is sufficient for full credit.

Finally, create a formula sheet throughout your study process and review it regularly. Key formulas to have at your fingertips include the relationships between A_x and a-double-dot_x, premium and reserve recursion formulas, Thiele's equation, and the Markov chain transition probability formulas. Familiarity with these formulas under time pressure is what separates passing candidates from those who narrowly miss.