Description: In this paper we investigate three investment-consumption problems for a risk averse investor: i an investment only problem that involves utility from only terminal wealth, ii an investment-consumption problem that involves utility from only consumption, and iii an extended investment-consumption problem that involves utility from both consumption and terminal wealth. We model these problems under a multiperiod setup that incorporates three types of uncertainties: the economic environment uncertainty, the asset return uncertainty, and the mortality uncertainty. By using dynamic programming, analytical expressions of the optimal investment consumption strategies to these problems are derived. Some economic implications on these results are also discussed.

Description: This note is labeled actuarial because it deals extensively with the force of interest, a concept which is characteristically of concern to the actuarial community. The authors’ personal point of view is that we should modify the basic definition of the compound interest.

Description: Introduction to option pricing using Black-Scholes. Discussion on the limitations of Black-Scholes and of its alternatives such as Heston. Clear, accessible explanation of key results of mathematical finance including risk-neutral valuation.

Description: Many risk management decisions involve the timing of implementing risk strategies. The cost of hedging, capital raising and securitization changes with the economic environment. The timing of de-risking and investment in new risk management functions affect the cost and benefit of these projects as well. Like investment timing, it is important to consider the timing in risk management decisions to maximize the gain of risk management projects. This paper discusses methods of determining the appropriate timing of implementing a risk management strategy or investing in risk management projects. It explains the human biases that may lead to inferior timing decisions. It also covers the costs and benefits of risk management projects and the impact of new information on the decision-making process. Timing considerations for financial risk hedging, insurance risk hedging and investment in new risk management projects are explained. Factors used for timing decisions include economic conditions, market volatility, credit rating, borrowing cost, capital adequacy and financial resources.

Description: Introduction to option pricing, with special attention to issues in applying these tools to price equity-linked insurance products. Clear, accessible explanation of key results of mathematical finance including risk-neutral valuation.

Description: The article makes reference to how the intervention by government agencies and institutions into the financial marketplace are creating distortions. This artificial tampering into market mechanisms will likely result in major financial dislocations down the road as natural economic forces (coined by the term "invisible hand") eventually are allowed to come into play.

Description: This is an in-depth look at the root causes of the subprime mortgage crisis and ways actuaries can eliminate the problems. From the Actuary Magazine, April/May 2010 – Volume 7 Issue 2.

Description: Discussion of competing theories for valuing public pension liabilities. Emphasis on revised Actuarial Standards of Practice that focus on the purpose of the measurement.

Description: Discussion of significant anomalies in option pricing due to the independent identically distributed assumption of the Black Scholes formula.