The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions
用1995-1999年数据比较不同因子数的期限结构模型在利率上限和互换期权定价与对冲中的表现，发现两或三因子模型优于单因子模型，且用衍生品价格估计参数比用利率数据更准确。
In this paper we empirically compare different term structure models when it comes to the pricing and hedging of caps and swaptions.We analyze the influence of the number of factors on the pricing and hedging results, and investigate which type of data !interestrate data or derivative price data!should be used to estimate the model parameters to obtain the best pricing and hedging results.We use data on interest rates, and cap and swaption prices from 1995 to 1999.We find that models with two or three factors imply better out-of-sample predictions of cap and swaption prices than one-factor models.Also, estimation on the basis of derivative prices leads to more accurate out-of-sample prediction of cap and swaption prices than estimation on the basis of interest rate data.The empirical results on the hedging of caps and swaptions show that, if the number of hedge instruments is equal to the number of factors, the multi-factor models outperform one-factor models in hedging caps and swaptions.However, if one uses a large set of hedge instruments, one-factor models perform as well as multi-factor models.