运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2014年
6期
205-212
,共8页
金融工程%静态利率期限结构%组合预测%遗传算法%国债定价
金融工程%靜態利率期限結構%組閤預測%遺傳算法%國債定價
금융공정%정태리솔기한결구%조합예측%유전산법%국채정개
financial engineering%static term structure of interest rates%combination forecast%genetic algorithms%treasury pricing
针对单个静态利率期限结构模型在拟合收益率曲线时的不足,本文引入组合预测的方法,在绝对误差和与方差和最小准则下,分别建立了静态利率期限结构组合优化模型,并给出了模型的遗传算法求解过程。然后将上海证券交易所2004~2009年的国债每日交易数据分为样本内数据和样本外数据,对多项式样条、指数样条、NS、SV和组合优化模型进行实证比较。结果表明:无论是对于样本内数据的拟合,还是对于样本外数据的预测,组合优化模型的统计特征指标几乎都要优于其他单一模型,并且具有良好的适应性和稳健性,适用于拟合我国国债利率期限结构。
針對單箇靜態利率期限結構模型在擬閤收益率麯線時的不足,本文引入組閤預測的方法,在絕對誤差和與方差和最小準則下,分彆建立瞭靜態利率期限結構組閤優化模型,併給齣瞭模型的遺傳算法求解過程。然後將上海證券交易所2004~2009年的國債每日交易數據分為樣本內數據和樣本外數據,對多項式樣條、指數樣條、NS、SV和組閤優化模型進行實證比較。結果錶明:無論是對于樣本內數據的擬閤,還是對于樣本外數據的預測,組閤優化模型的統計特徵指標幾乎都要優于其他單一模型,併且具有良好的適應性和穩健性,適用于擬閤我國國債利率期限結構。
침대단개정태리솔기한결구모형재의합수익솔곡선시적불족,본문인입조합예측적방법,재절대오차화여방차화최소준칙하,분별건립료정태리솔기한결구조합우화모형,병급출료모형적유전산법구해과정。연후장상해증권교역소2004~2009년적국채매일교역수거분위양본내수거화양본외수거,대다항식양조、지수양조、NS、SV화조합우화모형진행실증비교。결과표명:무론시대우양본내수거적의합,환시대우양본외수거적예측,조합우화모형적통계특정지표궤호도요우우기타단일모형,병차구유량호적괄응성화은건성,괄용우의합아국국채리솔기한결구。
For the weakness in fitting the yield curve of certain term structure of interest rates model , this paper introduces the combinatorial forecast method , and develops respectively the combinatorial term structure of inter-est rates models based on the principle of the minimization variance and the minimization absolute error criterion , and presents the process of genetic algorithms for the models .The data of Shanghai Stock Exchange from 2004 to 2009 are divided into in-sample and out-of-sample data for the empirical research .The comparisons of empirical results of the five models including polynomial spline , exponential spline , Nelson-Siegel , Svensson and the com-binatorial optimization show that combinatorial optimization model outperforms other models in most of the statisti -cal indicators , and has good adaptability and robustness .It can be applied to fitting the static term structure of interest rates in the bond market of China .