Free CAS Exam 5 (Basic Ratemaking and Reserving) Classification & Alternative Rating Practice Questions

Classification and alternative rating fall in the Ratemaking section of CAS Exam 5 (45-55% of the exam, CAS). Questions test class plans and territory relativities, deductible and increased limits pricing, coinsurance, commercial lines rating mechanisms such as experience and schedule rating, and interpreting what a fitted predictive model such as a GLM says about the risks being priced.

48 questions 13 easy 16 medium 19 hard 2026 syllabus

Sample Questions

Question 1 Easy
In property-casualty ratemaking, what is the primary reason an insurer refines its risk classification system into more granular classes?
Solution
D is correct. Classification refines premiums so each group pays a rate reflecting its own expected loss cost. If an insurer charges an average rate to a heterogeneous group, lower-risk insureds are overcharged and migrate to competitors that price them accurately, while higher-risk insureds remain. Aligning price with expected cost across classes counters this adverse selection.
Question 2 Medium
A commercial property policy covers a building valued at $1,000,000 and includes an 80% coinsurance clause. The insured carries $600,000 of coverage. A covered partial loss of $200,000 occurs. Applying the coinsurance provision, how much does the insurer pay?
Solution
B is correct. Under a coinsurance clause the loss payment equals the loss multiplied by the ratio of insurance carried to insurance required. The required amount is 80%×$1,000,000=$800,00080\% \times \$1{,}000{,}000 = \$800{,}000. The insured carries $600,000, so the ratio is 600,000/800,000=0.75600{,}000 / 800{,}000 = 0.75. The payment is $200,000×0.75=$150,000\$200{,}000 \times 0.75 = \$150{,}000, which is below both the loss amount and the amount of insurance carried.
Question 3 Hard
A commercial risk has 200 exposure units rated at a base rate of $250 per unit. Its experience produced actual losses of $180,000 against $200,000 of expected losses, and it receives full-formula credibility of Z=0.50Z = 0.50. After experience rating, an additional schedule credit of 10% is applied. What is the risk's standard premium?
Solution
C is correct. Manual premium =200×$250=$50,000= 200 \times \$250 = \$50{,}000. The experience modification is 0.50×180,000200,000+0.50=0.45+0.50=0.950.50 \times \frac{180{,}000}{200{,}000} + 0.50 = 0.45 + 0.50 = 0.95. The 10% schedule credit is a factor of 0.90. Standard premium =$50,000×0.95×0.90=$42,750.= \$50{,}000 \times 0.95 \times 0.90 = \$42{,}750.

Guides & Articles

About FreeFellow

Jeffrey Ting, founder of FreeFellow
Jeffrey Ting
FSA, CFA · Founder

FreeFellow was built by Jeffrey Ting, a credentialed actuary and CFA charterholder who has passed thirteen of the hardest exams in finance, all on his first attempt. He paid four-figure prep fees along the way.

So he started writing his own questions, then lessons, then mock exams, until it grew into a full prep platform covering 40 exams with more than 45,000 original practice questions.

01
Cost shouldn't decide who gets in.

A CFA charter, a CPA license, an actuarial credential. Each opens a real career, but prep fees add to the cost of getting there. FreeFellow keeps its original question bank and written lessons free so you can study even if a paid course is out of reach.

02
Free should mean free.

The original question bank, the worked solutions, the topic lessons, mixed practice, and your readiness score stay free, forever. Full access needs a free account, and practice usage limits apply. Fellow adds AI grading on supported exams, spaced-repetition flashcards, full-length mock exams, analytics, and a study plan that adapts to your progress.