"Essential Pension Actuarial Mathematics" is a comprehensive and invaluable resource for pension actuaries and actuarial students seeking a deep understanding of the mathematical principles and techniques essential in the field of pension actuarial science. Part I - Interest and Mortality:

Mortality Rates and Survival Functions: This section introduces the fundamental concepts of mortality rates and survival functions, which are essential for assessing life expectancies and mortality risks in pension calculations. The Theory of Interest: Explore the theory of interest, including accumulation factors, compound interest accumulation functions, and interest discount factors. Gain insights into the mathematical foundation of interest rate calculations critical for pension actuaries. Commutation Functions and Life Annuity Factors: Delve into commutation functions and life annuity factors, which are vital tools for estimating pension payouts and assessing actuarial liabilities.

Part II - Cost Methods:

Unit Credit (UC) Cost Method: Understand the Unit Credit cost method, one of the essential techniques for calculating pension costs and liabilities, especially in defined benefit pension plans. Projected Unit Credit (PUC) Cost Method: Explore the Projected Unit Credit cost method, which provides a more sophisticated approach to estimating pension obligations based on projected salaries and service. Entry Age Normal (EAN) Cost Method: Learn about the Entry Age Normal cost method, an individualized approach to determining pension costs and liabilities, considering participants' entry ages. Aggregate Cost Method: Discover the Aggregate Cost method, which helps assess pension costs as a percentage of payroll, providing insights into group-based pension plans.

Part III - Amortization and Contributions:

Calculating Amortization Periods: Gain insights into calculating amortization periods, a crucial step in managing unfunded pension liabilities and contributions. Formulas for Amortization Factors: Explore the formulas for amortization factors, which facilitate the determination of contributions needed to fund pension plan deficits.

Part IV - Duration and Convexity:

Duration: Understand the concept of duration, a critical measure for assessing the sensitivity of pension liabilities to changes in interest rates. Convexity: Explore convexity, which provides a deeper understanding of how pension liabilities respond to interest rate movements, including the concept of negative convexity. Negative Convexity: Learn about negative convexity and its implications for pension actuaries, especially in cases where certain pension securities exhibit non-linear price responses to interest rate changes.

Exercise Sets: Each part includes exercise sets designed to reinforce the understanding of the presented concepts and allow readers to apply their knowledge. Comprehensive Coverage: This book provides a comprehensive and in-depth exploration of essential topics in pension actuarial mathematics, making it an invaluable reference for both experienced pension actuaries and actuarial students.

Practical Application: The book not only explains theoretical concepts but also focuses on their practical application in pension actuarial practice, helping readers bridge the gap between theory and real-world scenarios.

Philip Martin McCaulay earned a degree in Mathematics from Indiana University. He holds the titles of Fellow of the Society of Actuaries (FSA) and Enrolled Actuary (EA) and has over four decades of experience as an actuarial consultant specializing in pension funds.