Volatility and Price Jumps in Agricultural Futures Prices—Evidence from Wheat Options
扩展了Bates的跳跃扩散期权定价模型，在波动率中加入季节性和到期时间效应，用小麦期货期权数据验证新模型优于已有模型，并给出定价误差的数值示例。
Evidence suggests that agricultural futures price movements have fat‐tailed distributions and exhibit sudden and unexpected price jumps. There is also evidence that the volatility of futures prices is time‐dependent both as a function of calendar‐time (seasonal effect) and time to maturity (maturity effect). This article extends Bates' (1991) jump‐diffusion option pricing model by including both seasonal and maturity effects in the volatility specification. Both in‐sample and out‐of‐sample procedures to fit market option prices on wheat futures show that the suggested model outperforms previous published models. A numerical example shows the magnitude of pricing errors for option valuation.