国债期货CTD券定价

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利率周记(8月第3周):国债期货CTD券定价再探讨
Huaan Securities· 2025-08-20 12:04
Report Industry Investment Rating No relevant content provided. Core Viewpoints - The recent significant correction in the Treasury bond futures market, along with the upcoming issuance of multiple new Treasury bonds from late August to September, and the impact of the VAT recovery policy, may affect the pricing of CTD bonds in Treasury bond futures and change contract prices. This report explores the switching boundaries of CTD bonds from a quantitative perspective and calculates their impact on futures prices [2]. Summary by Related Catalogs Two Ways to Judge CTD Bonds - Based on the rule of thumb, for deliverable bonds with a yield above 3%, the deliverable bond with the longest duration is the CTD bond; for those with a yield below 3%, the one with the shortest duration is the CTD bond [2]. - The deliverable bond with the smallest basis (net basis) or the largest IRR is the CTD bond. IRR is the annualized return of buying the spot and short - selling the futures until contract delivery. The higher the IRR, the more likely the bond is the CTD bond, and the basis/net basis is inversely correlated with IRR [3]. Quantitative Calculation Methods for CTD Bond Switching Method One - Calculate the increase in the primary issuance rate required for CTD bond switching by estimating the price difference. This method is simple but does not consider the conversion factor [4]. Method Two - Calculate the basis of different deliverable bonds considering the conversion factor. The conversion factor is calculated according to the formula provided by the CFFEX, and it remains unchanged during the contract's life. The basis formula is: basis = deliverable bond net price - futures price × conversion factor [5][6][8]. - Consider the coupon compensation after VAT collection. Assuming a 3% VAT rate for government bond issuance, the coupon compensation formula is given. After considering coupon compensation, the conversion factors of new bonds in each Treasury bond futures contract increase [7]. Results of CTD Bond Switching Calculation - If the coupon compensation is calculated at a 3% VAT rate, the T2512 and T2603 contracts face a high probability of CTD bond switching, with price impacts of approximately 1.03 yuan and 1.11 yuan respectively. - If the coupon compensation is calculated at a 6% VAT rate, the TS2512 and TF2512 contracts have a certain probability of CTD bond switching, with price impacts of 0.05 yuan and 0.06 yuan respectively, while the T2512 and T2603 contracts have a higher probability of switching, with price impacts of 1.34 yuan and 1.42 yuan respectively [8][10].