Valuing vulnerable Asian options under contagion dynamics
摘要
In this paper, we investigate the pricing of vulnerable Asian options under contagion dynamics. We first model the price dynamics of the underlying asset and the counterparty’s total assets by employing Hawkes jump-diffusion processes, where jump processes exhibit both self-excitation and cross-asset contagion characteristics. After deriving the pricing formula of vulnerable Asian options, we calibrate the model parameters using real data, and investigate the effects of self-excitation and cross-asset contagions on vulnerable Asian option prices. Specially, opposite effects of the parameters in the underlying asset price and the counterparty’s asset prices are observed, and we also explain them by emphasizing the role of the risk compensation term.