This paper investigates the pricing and hedging of a new volatility derivative in Mainland China, called volatility-linked notes. Firstly, we describe its underlying volatility-historical volatility of SHSCI and its specific clauses, then calibrate the underlying volatility using GARCH(1,1). It finds that the mean-reverting phenomenon of SHSCI volatility exists. Secondly, we propose two pricing model using replicated method and Monte-Carlo simulation, respectively. It works out similar outcomes. Finally, a Delta-hedging scheme of the volatility-linked notes is shown, however, the estimated result is not satisfactory as the absence of more efficient hedging instruments like index future.

Volatility long memory is a stylized fact that has been documented for a long time. Existing literature have two ways to model volatility long memory: component volatility models and fractionally integrated volatility models. This paper develops a new fractionally integrated GARCH model, and investigates its performance by using the Standard and Poor’s 500 index returns and cross-sectional European option data. The fractionally integrated GARCH model signi?cantly outperforms the simple GARCH(1, 1) model by generating 37% less option pricing errors. With stronger volatility persistence, it also dominates a component volatility model, who has enjoyed a reputation for its outstanding option pricing performance, by generating 15% less option pricing errors. We also con?rm the fractionally integrated GARCH model’s robustness with the latest option prices. This paper indicates that capturing volatility persistence represents a very promising direction for future study.