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: The purpose of this paper is to present to the actuarial profession a stochastic investment model which can be used for simulations extending for many years ahead. Discussed in the paper are the general reasons for choosing the style of model, the general model and how to use it, the assumptions and the sensitivity of model to the assumptions made and the possible applications in the investment and actuarial fields.

Description: This paper discusses stochastic treatments for insured Long Term Disability [LTD] benefits under a group insurance policy.

Description: The concept of transformed distributions is generalized in this paper. First the concepts of net premium intensity, loaded premium intensity and load generators arc introduced. Then transformed distributions are identified with premium intensity and hence the loaded premium is calculated from transformed distributions. Finally it is shown that this method of premimn calculation is arbitrage free and it incorporates the strengths of the utility approach.

Description: This paper addresses the evaluation of long-term returns when the short interest rate is modeled by a general diffusion process. By deriving the long-term return dynamics and invoking the Feyman-Kac formula, the long-term return is represented as the solution of a partial differential equation. A finite difference method is derived for the valuation of the long-term return. The method could be used for hedging interest rate risk, pricing and managing interest rate derivatives and interest rate sensitive insurance products. Numerical examples are included.

Description: Feature article describing the latest developments with the International Accounting Standards Board and the Financial Accounting Standards Board.

Description: The subject of this paper is a mathematical model for insurance company risks formed by a linear combination of four stochastic processes recognizing claim patterns, investment performance assumptions, operating expenses and lapse expenses. A discussion of the paper follows. From Transactions of Society of Actuaries 1978, Vol. 30.

Description: In it’s insurance capital model, Standard & Poor’s Ratings Services has established criteria to adopt the NAIC’s stochastic approach to variable annuity risk. This approach, which replaces existing static charges, better reflects the products’ risk.

Description: Feature article discussing the use of stochastic volatility models in the pricing of investments and options.

Description: This paper shows how the results of copula based capital aggregation models can always be locally approximated by relatively simple formulas. The paper defines the concepts of diversification factor and tail correlation matrix and describes methods for estimating these quantities from simulated data. We show how these ideas can be put into practice as both computational shortcuts and presentation tools.