Description: This paper illustrates the application of stochastic control methods in managing the risk associated with an insurance business. We present the Hamilton-Jacobi-Bellman HJB equation and demonstrate its use in finding the optimal investment strategy based on some given criteria. Here we consider an insurance business with a fixed amount available for investment in a portfolio consisting of one non-risky asset and one risky asset. The object of the resulting control problem is to determine the investment strategy that minimizes infinite time ruin probability. The existence of a solution to the resulting HJB equation is shown. The relevant verification lemma is not presented in this paper and a numerical algorithm is given instead. Examples applied to exponential claims are also presented.

Description: In this paper, we consider the relationship between salary growth, stock and long bond returns. We use this to suggest that equities may have a role in hedging final salary-related benefits. Simulations from the empirical distribution for salaries, equities and interest rates are used to demonstrate the quantile hedge.

Description: This paper demonstrates that using a conditional probability approach to analyzing investment data yields investment forecast and stock option pricing models which more closely match actual market data, and it demonstrates the impact that conditional probabilities could have on CAPM beta and risk premia calculations. Reprinted from: Journal of Financial and Economic Practice, Vol. 6 No. 2 Spring 2006.

Description: Presented at August 2011 Actuarial Research Conference. Summarizes the Heston model, discusses hedging equity indexed annuities, and provides numerical results of the Black-Scholes and Heston hedging strategies.

Description: An overview of the articles in the August 2012 issue of Risk Management and a list of winners of the most recent call for papers, “Risk Metrics for Decision Making and ORSA.”

Description: This articles explores the notion of whether the old rules and paradigms of investment strategy and caution may no longer be applicable in today’s financial environment, because things were “different this time.”

Description: Our previous article, “Introduction of Cashflow Matching Strategic Asset Allocation (SAA) Framework,” introduced the concept and included a real-world case study that developed a liability-driven investment strategy for a single line of business (LOB) for a life insurer. This article expands the framework and the case study from a single LOB to simultaneously optimize asset allocation across multiple LOBs. It discusses how this multi-line SAA framework can enable an insurance company to efficiently tag its asset holdings to each LOB, identify opportunities in the public and private asset markets to enhance risk-adjusted returns, and develop a deeper understanding of the trade-off between the degree of cashflow matching and risk-adjusted returns across LOBs.

Description: The Federal funds rate increased by 4.25% in 2022 with further increases in 2023, which have already resulted in a liquidity crisis for a few banks. As the rapid increase of the interest rates pushed the new money rates above the yields of many life insurers’ investment portfolios, insurance companies are facing a dilemma between compressed margins from peer pressure and the concern with liquidity shortfalls and realized capital losses should mass surrenders happen. This paper discussed main emerging risks under rising interest rate environment, and several ways to mitigate these risks.