本文提出了一种双树拼接的改进BDT模型,在此基础上发展出两种方法为中国市场上的国债期货和择券期权定价。其中"直接定价法"直接使用双树拼接树图,"两步定价法"则是经期权调整的持有成本模型。对中国TF1403和T1603国债期货合约的实证研究表明,两种方法都是合理的,且各有优势,"两步定价法"与市场价格差异较小,"直接定价法"与市场价格同步性较高。
A Two-Tree-Combined Black-Derman-Toy dynamic term structure of interest rates model and a cost-of-carry model which incorporated quality option are proposed to price the China Treasury Bond Futures and the implied quality option of the contract.The empirical studies on the TF1403 and T1603 contracts show that both models are reasonable and have different strengths.The pricing results of the first model are highly consistent with the trend of the market price,whereas the pricing results of the second model are closer to the market prices.