Description: This article explores the effectiveness of hedging delta and rho of equity options. This provides insight into the frequency and severity of losses due to not hedging volatility risk or other higher order risks. 10yr-equity put option strategies were chosen to represent the risk of hedging guaranteed benefits attached to variable annuities, while 1-yr put and call strategies were modeled to investigate the risk of hedging equity index interest credited to fixed indexed annuities. In both cases, the value of the option was compared to the value of delta/rho hedges in the tail of both actual historical and simulated scenarios for equity returns and volatilities. The historical path of interest rates and equities was generally used to highlight the hedge impact for different implied volatility assumptions in each example.

Description: Proposes alternatives for estimating the long term interest returns in Indexed Universal Life products. Defends expected return of 20%-45% on hedge budgets.

Description: Discussion of significant anomalies in option pricing due to the independent identically distributed assumption of the Black Scholes formula.

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: From the 41st ARC: a presentation focusing on risk management of a pension plan whose benefit is the greater of a defined benefit DB and a defined contribution DC plan. Hedging strategies are derived and illustrated, recognizing that the DB guarantee is like an option.

Description: The session from the 1995 SOA New York City Meeting discusses derivatives, policy, controls, compliance, reporting and demonstrates how to implement systems that track performance and ensure that the correct type and amount of derivatives are in place. From the Record of the Society of Actuaries, Vol. 21, No. 2.

Description: This paper presents a new methodology for obtaining fast algorithms and closed form solutions for pricing callable bonds in continuous time models. Results are directly applicable to regulatory scenario testing, immunization and market value accounting.

Description: 1993 SOA Meeting, Quebec. This session discussion is an introduction to derivative products. Topics included: 1. Definition and basic description of instruments. 2. General pricing concepts. 3. Applications for life insurance company portfolios.

Description: This article outlines the IRS directive published in July 2014, which provides a safe harbor treatment for variable annuity hedging gains and losses relating to VA contracts issued before Dec. 31, 2009.

Description: This paper examines the pricing of catastrophe risk bonds. Catastrophe risk cannot be hedged by traditional securities. Therefore the pricing of catastrophe risk bonds requires an incomplete markets setting and this creates special difficulties in the pricing methodology. The paper briefly discusses the theory of equilibrium pricing and its relationship to the standard arbitrage-free valuation framework. Equilibrium pricing theory is used to develop a pricing method based on a model of the term structure of interest rates and a probability structure for the catastrophe risk. This pricing methodology can be used to assess the default spread on catastrophe risk bonds relative to traditional defaultable securities.