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: Essay discussing that the two factors that affect healthcare cost are costs and the fact that people lack coverage.

Description: This paper uses the property-liability insurance companies as a research sample to investigate the relation between the enhancement of cost efficiency and the usage of reinsurance and financial derivatives as risk management tools. The stochastic frontier approach is applied to consider not only the mean of cost efficiency, but also its variance. The sample includes both organizational forms, namely, stock and mutual insurers.

Description: This paper investigates the optimal multi-period proportional reinsurance strategy that minimizes the ruin probability of an insurer. Some conditions under which it is optimal to have no reinsurance are derived. Based on these results, a new concept, capital threshold of proportional reinsurance, is introduced. In the case of two periods, a lower bound of the capital threshold of proportional reinsurance is provided. Some economic implications and properties of this new concept are also discussed.

Description: It is obvious that the introduction of a deductible has two major effects. The amount paid for every claim will drop, resulting in a lower claim burden for the insurance company. There will also be a drop in claim frequency, leading to a decrease in claim handling expenses. However, it is by no means obvious how the average claim size changes with the introduction of a deductible. In this paper, we will study this question. First, we derive some theoretical results then apply them to concrete distributions.

Description: Response to Life Insurance 2020 Foresight – A Call for Essays. An essay stating the author’s vision for the future of the life insurance sector. Some smaller companies might focus on smaller niche markets rather than compete with larger companies in the broader markets.

Description: For the purposes of risk management and stress testing, we characterize a spectrum of plausible extreme events, that we dub Grey Swans, by introducing a probabilistic method involving the concentration of measure phenomenon. As a result, stress tests can be triaged according to severity, probability and, now, information-based plausibility.

Description: This monograph was presented at the 2011 Enterprise Risk Management Symposium, held March 14-16 in Chicago. The author, noting that ‘strategy is a source of risk to the firm and thus ought to be included within enterprise risk management [ERM], enterprise risk analysis and measurement of the firm’s value, proposes a detailed framework in which strategic considerations can be incorporated into a quantitative model of the firm.

Description: Adaptive Risk Management harnesses social intelligence to identify emerging risks. We have entered an age of disruption where exponential technologies are transforming every industry. The ability to pivot in a rapidly evolving ecosystem is essential. Centralized “predict and control” paradigms will increasingly fail as complex interactions drive phase transitions. Successful organizations will harness social intelligence to “sense and respond” to giant waves of change. Maps amplify intelligence to help us navigate challenging terrain. Maps play a central role in all command centres, enabling rapid risk identification with a shared visual language. Interactive financial network maps allow analysts to explore and diagnose systemic fragilities, and mitigate critical vulnerabilities. Dynamic financial maps can also build visual intuition to detect escalating risk patterns. After observing early warning signals, analysts can apply network analytics to estimate likely second order effects. This allows organizations to proactively manage emerging risk before tipping points are crossed.

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.