Overview

Financial mathematics has always been one of the pillars of actuarial science. As insurance and pension products grow increasingly complex, actuaries are expected to master not only traditional models of risk but also the sophisticated tools of modern financial markets. Derivatives, forward rates, options, swaps, and hedging strategies are no longer just instruments for banks and traders-they have become essential in managing the long-term promises insurers make to policyholders. This book, the fourth in the Actuary Mastery Series II - The Advanced Collection, focuses on the integration of financial mathematics into actuarial applications. It covers risk-neutral valuation, derivatives pricing, and the role of asset-liability management (ALM) in ensuring solvency and long-term stability. The material presented will help bridge the gap between actuarial models and financial theory, providing actuaries with the analytical tools necessary to evaluate and hedge complex risks. Topics explored include: The mathematics of forward rates, options, and swaps. Risk-neutral valuation and its application to insurance liabilities. Hedging strategies for embedded guarantees in life insurance products. Asset-liability management (ALM) strategies that balance solvency, profitability, and long-term commitments. This book is intended for advanced actuarial students preparing for fellowship-level exams, practicing actuaries working in life insurance, pensions, or risk management, and academics seeking a comprehensive treatment of financial mathematics in actuarial contexts. The actuarial profession thrives at the intersection of mathematics, finance, and risk. With the tools presented here, you will be better equipped to navigate that intersection-balancing rigorous mathematics with the real-world complexities of markets and insurance obligations. Oluchi Ike 2025

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