Description: Explains the more granular breakout of bond RBC factors proposed to the NAIC. Evaluates alternative asset allocation choices for insurers under the new rules.

Description: The investment risk generated by a stochastic interest rate is recognized as often the greatest risk associated with a whole life or retirement policy. Recent research has investigated the mathematics of this risk when the interest rate follows a stochastic process and the time to death is considered to be random. In this paper we focus on the use of the zero coupon bond as an investment instrument to fund a whole life policy. It is unlikely that a company will entirely fund a particular single policy with a zero coupon bond.

Description: This note develops the optimality of the put option as a hedging strategy. For an investor who owns a stock, he can buy a put option to hedge against the downside risk of the stock price. In this short note, we ask two questions with the hedge strategy of the put option. First, whether the investor is better off with the hedging strategy? Second, if the investor is better off with the hedging strategy, whether it is the optimal hedging plan? Our result shows that in a risk averse world an investor will maximize his utility with buying the put option as a hedge strategy.

Description: Despite a clear need and demographics which should be favorable to LTCI growth, the market remains stalled due to lack of understanding on the consumer side, and uncertainty on carriers' side. The 3 key risk areas for carriers are morbidity, terminations, and investment earnings. Financial market innovations which can address these include: repackaging risks as derivative securities, interest rate swaps and options, and inflation swaps.

Description: Securitization of mortality risks is an alternative risk management tool that may have some advantages over reinsurance. The purpose of this paper is to study mortality-based securities, such as swaps and mortality bonds, and to price the proposed mortality securities. We focus on group life annuity data, although the techniques could be applied to other lines of annuity or life insurance.

Description: The impact of Fed’s QE program on the financial markets has been enormous and profound. The tapering and the eventual removal of the stimulus will be equally enormous and profound, and may be disruptive. To adapt to the potential regime change in near future, some investment strategies have been proposed: (1) shorten duration to focus on the short end of the yield curve and create laddered portfolios; (2) reduce allocation to high yield bonds; (3) rotate out interest rate sensitive sectors such as utilities; and (4) use interest rate derivatives to hedge the interest rate uncertainties lying ahead. On the other hand, contrarians who see the QE program continuing may stay the course and consider (1) adding duration, (2) gaining exposure to high yield bonds, and (3) increasing allocation to utilities and telecoms.

Description: Much of the push for ERM has come from regulators and rating agencies, but it is being applied in internal company decision-making as well. This paper reviews the progress made and the needs still outstanding in two key areas of application: optimal capital level for an insurer and risk-adjusted profitability of business units. The basic conclusion is that progress has been made in these areas, but more is needed. Building models is not emphasized—it will be assumed that a state-of-the art model is available. The emphasis is on using such models in decision-making.

Description: Presented at May 1985 Spring Meeting. This session discussed: How investment policy should be developed, Role of the actuary and the investment officer, Role of the pricing actuary and the valuation actuary, Liquidity considerations, Tax considerations, Capital loss constraints, Process for changing strategy as the economy and company circumstances change.

Description: This paper examines the problem of hedging foreign exchange risk across multiple countries using currency options. The profit target requirement is formulated as a stochastic constraint in the context of a binomial lattice. Models are presented for European options. In a numerical example, five currency options are selected, allowing for long or short positions, depending on the target value.

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.