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: Derives appropriate hedge ratios for CPPI strategies, taking into account discrete hedge times and market dislocations (gap risk).