Downside and deviation risk measures are becoming more and more important in many disciplines with clear interfaces with Applied Mathematics and Operations Research. Their dual representations have played critical roles in most of their applications (risk management, portfolio selection, pricing...

Pooled annuity products, where the participants share systematic and idiosyncratic mortality risks as well as investment returns and risk, provide an attractive and effective alternative to traditional guaranteed life annuity products. While longevity risk sharing in pooled annuities has...

Longevity risk is the risk that the promised recipient of lifetime cashflows ends up living much longer than originally anticipated, thus causing a shortfall in funding. A related risk, reimbursement risk is the risk that providers of health insurance face when new and expensive drugs are...

Historical VaR, CVaR and ES (Expected Shortfall) to LIQUIDATION Software is a model characterized by its straightforwardness, allowing regulators measure risk using a standard database of primitive factors and portfolio positions only, leaving little error margin in comparing market risk for...

Solvency II is a new risk-based framework for setting the capital requirements of European insurance companies, in force since January 2016. The solvency capital requirement (SCR) is set such that the insurer can meet its obligations over the next 12 months with a probability of at least 99.5%....

I examine a class of utility maximization problems with a not necessarily law-invariant utility, and with a not necessarily law-invariant risk measure constraint. The objective function is a Lebesgue integral of some function U with respect to some probability measure P, and the constraint set...

Members of defined contribution (DC) pension plans must take on additional responsibilities for their investments, compared to participants in defined benefit (DB) pension plans. The transition from DB to DC plans means that more employees are faced with these responsibilities. We explore the...

This study investigates the optimal asset allocation of a financial institution subject to liquidity risks and whose customers are free to withdraw their capital-guaranteed financial contracts at any time. Accounting for constraints on the solvency of the institution, we present a general...

This paper examines the dimensions of risk in the Nigerian Business environment with the objective of identifying the various types of risks facing the businesses operating in Nigeria. Empirical data for the paper was secondary and collected from the Kaduna branch of the Nigerian Stock Exchange...

Despite the use of VaR as a means to control risk, using VaR can have the opposite effect. VaR is used by bank and insurance regulators more than any other risk measure. A value-at-risk (VaR) constraint on the probability that future firm equity value will be less than a floor, when the floor is...