Actuarial Exam Blog

Conditional Probability and Bayes' Theorem for Actuaries

Learn conditional probability and Bayes' Theorem with actuarial examples for Exam P.

2026-09-04

Discrete Random Variables: PMF, CDF, and Expected Value

Understand discrete random variables, probability mass functions, and expected values for Exam P.

2026-09-05

Continuous Random Variables: PDF, CDF, and Percentiles

Master continuous distributions, density functions, and percentile calculations for Exam P.

2026-09-06

Binomial Distribution: Properties, Formulas, and Exam P Applications

Study the binomial distribution, its properties, and typical Exam P applications.

2026-09-07

Poisson Distribution: Derivation, Properties, and Insurance Applications

Explore the Poisson distribution, its derivation from the binomial, and insurance applications.

2026-09-08

Normal Distribution: Z-Scores, Standard Normal, and CLT for Exam P

Review the normal distribution, z-scores, and central limit theorem applications for Exam P.

2026-09-09

Exponential Distribution: Memoryless Property and Survival Models

Understand the exponential distribution, its memoryless property, and survival model applications.

2026-09-10

Uniform Distribution: Continuous and Discrete for Exam P

Review both continuous and discrete uniform distributions and their Exam P applications.

2026-09-11

Gamma Distribution: Shape, Rate, and Connection to Poisson

Study the gamma distribution, its parameters, and its connection to the Poisson process.

2026-09-12

Joint Distributions: Bivariate Random Variables for Exam P

Learn joint distributions, joint PMFs and PDFs for bivariate random variables on Exam P.

2026-09-13

Marginal and Conditional Distributions for Actuarial Exam P

Derive marginal and conditional distributions from joint distributions for Exam P.

2026-09-14

Covariance and Correlation: Measuring Dependence for Exam P

Learn covariance and correlation calculations and their meaning for Exam P.

2026-09-15

Moment Generating Functions: Theory and Applications

Master moment generating functions and their use in identifying distributions for Exam P.

2026-09-16

Transformations of Random Variables for Exam P

Learn how to find distributions of transformed random variables for Exam P.

2026-09-17

Order Statistics: Min, Max, and Range for Actuarial Applications

Study order statistics and their role in actuarial modeling for Exam P.

2026-09-18

Central Limit Theorem: Statement, Proof Sketch, and Applications

Understand the Central Limit Theorem and how to apply it on Exam P.

2026-09-19

Law of Large Numbers: Weak and Strong Forms for Actuaries

Learn both forms of the Law of Large Numbers and their actuarial significance.

2026-09-20

Deductibles and Policy Limits: Insurance Applications of Probability

Apply probability concepts to deductibles and policy limits for Exam P.

2026-09-21

Loss Distributions: Modeling Insurance Claims with Probability

Explore how probability distributions model insurance claim amounts for Exam P.

2026-09-22

Mixture Distributions and Their Actuarial Applications

Understand mixture distributions and how they model heterogeneous insurance portfolios.

2026-09-23

Survival Functions and Hazard Rates for Exam P

Study survival functions, hazard rates, and their connections for Exam P.

2026-09-24

Expected Value and Variance: Computational Techniques for Exam P

Master computational shortcuts for expected values and variances on Exam P.

2026-09-25

Multivariate Normal Distribution Basics for Exam P

Learn the bivariate and multivariate normal distribution fundamentals for Exam P.

2026-09-26

Probability Inequalities: Chebyshev, Markov, and Jensen

Review essential probability inequalities for Exam P: Chebyshev, Markov, and Jensen.

2026-09-27

Double Expectation and Total Variance Formulas

Master the law of total expectation and total variance for Exam P.

2026-09-28

Compound Distributions: Frequency and Severity Models

Learn compound distributions combining frequency and severity for Exam P.

2026-09-29

Tail Probabilities and Heavy-Tailed Distributions

Understand tail behavior and heavy-tailed distributions for Exam P.

2026-09-30

Convolutions and Sums of Random Variables for Exam P

Learn convolution techniques for finding distributions of sums on Exam P.

2026-10-01

Exam P Formula Sheet: Every Formula You Need to Memorize

A comprehensive formula sheet covering every key formula for SOA Exam P.

2026-10-02

Time Value of Money: Present and Future Value for Exam FM

Understand present value, future value, and the time value of money for Exam FM.

2026-10-03

Simple vs. Compound Interest: Fundamentals for Actuaries

Compare simple and compound interest and their formulas for Exam FM.

2026-10-04

Effective and Nominal Interest Rates for Exam FM

Master the conversion between effective and nominal interest rates for Exam FM.

2026-10-05

Force of Interest: Continuous Compounding for Actuaries

Understand the force of interest and continuous compounding for Exam FM.

2026-10-06

Annuities-Immediate: Present and Accumulated Value Formulas

Master annuity-immediate formulas for present and accumulated values on Exam FM.

2026-10-07

Annuities-Due: Timing Differences and Key Formulas for Exam FM

Learn annuity-due formulas and how they differ from annuities-immediate for Exam FM.

2026-10-08

Deferred Annuities and Perpetuities for Exam FM

Study deferred annuities and perpetuities and their Exam FM applications.

2026-10-09

Increasing and Decreasing Annuities for Exam FM

Learn increasing and decreasing annuity formulas for Exam FM.

2026-10-10

Amortization Schedules: Principal and Interest Breakdown

Master loan amortization schedules and payment breakdowns for Exam FM.

2026-10-11

Sinking Funds: How They Work and Exam FM Calculations

Understand sinking fund loan repayment and its comparison to amortization for Exam FM.

2026-10-12

Bond Pricing: Par, Premium, and Discount Bonds for Actuaries

Learn bond pricing formulas and par, premium, and discount concepts for Exam FM.

2026-10-13

Bond Amortization: Book Value and Premium/Discount Schedules

Study bond amortization schedules and book value calculations for Exam FM.

2026-10-14

Callable Bonds and Yield Calculations for Exam FM

Understand callable bonds and yield rate calculations for Exam FM.

2026-10-15

Exam Guides4 min read

Term Structure of Interest Rates: Spot and Forward Rates

Study spot rates, forward rates, and the term structure of interest rates for Exam FM.

2026-10-16