Valuation of Variable Annuities with Equity Protection Swaps under Jumps and Default Risks

Battle Count: 64

The paper is primarily focused on insurance/annuity product pricing and hedging rather than active trading strategies. However, it is highly relevant to quantitative risk management, derivatives pricing, and structured product design. The jump-diffusion framework and default-adjusted premium concepts are applicable to trading desk risk management, counterparty credit risk assessment, and hedging of equity-linked products. The static hedging strategies using European options are directly relevant to options trading desks.

Implementation requires expertise in stochastic calculus, jump-diffusion processes, and risk-neutral pricing. The closed-form formulas for European options under Merton's model (infinite sum of Black-Scholes terms) are well-established but require careful numerical truncation. The default adjustment calculations involve conditional expectations under both jump and default models. The EPS payoff decomposition into protection and fee legs adds structural complexity. Numerical studies require Monte Carlo simulation or careful series truncation for the jump-diffusion pricing formulas.

The paper provides detailed analytical formulas, parameter settings for numerical studies (Tables 1-5), and clear model definitions. However, no code repository or computational scripts are provided. The numerical results can be reproduced given the stated parameters (r=1.5%, sigma=20%, S0=100, T=1 year, specific jump parameters), but implementation requires expertise in stochastic calculus and jump-diffusion pricing.