经济数学
經濟數學
경제수학
MATHEMATICS IN ECONOMICS
2014年
2期
64-68
,共5页
CVaR%债券投资%收敛性分析%历史模拟法%随机优化
CVaR%債券投資%收斂性分析%歷史模擬法%隨機優化
CVaR%채권투자%수렴성분석%역사모의법%수궤우화
CVaR%bond portfolio%convergence analysis%historical simulation method%stochastic optimization
针对债券投资组合中的风险度量难题,用CVaR作为风险度量方法,构建了基于 CVaR的债券投资组合优化模型。采用历史模拟算法处理模型中的随机收益率向量,将随机优化模型转化为确定性优化模型,并且证明了算法的收敛性。通过线性化技术处理CVaR中的非光滑函数,将该模型转化为一般的线性规划模型。结合10只债券的组合投资实例,验证了模型与算法的有效性。
針對債券投資組閤中的風險度量難題,用CVaR作為風險度量方法,構建瞭基于 CVaR的債券投資組閤優化模型。採用歷史模擬算法處理模型中的隨機收益率嚮量,將隨機優化模型轉化為確定性優化模型,併且證明瞭算法的收斂性。通過線性化技術處理CVaR中的非光滑函數,將該模型轉化為一般的線性規劃模型。結閤10隻債券的組閤投資實例,驗證瞭模型與算法的有效性。
침대채권투자조합중적풍험도량난제,용CVaR작위풍험도량방법,구건료기우 CVaR적채권투자조합우화모형。채용역사모의산법처리모형중적수궤수익솔향량,장수궤우화모형전화위학정성우화모형,병차증명료산법적수렴성。통과선성화기술처리CVaR중적비광활함수,장해모형전화위일반적선성규화모형。결합10지채권적조합투자실례,험증료모형여산법적유효성。
This paper considered the risk measurement for the bond portfolio problems.By using the CVaR measure method,we set up a new risk optimization model for the bond portfolio problem.The stochastic optimization model was con-verted into a deterministic optimization problem by using the historical simulation method.Furthermore,the convergence of the algorithm was also proved.Through the linear programming method dealing with the non-smooting function of CVaR,the model could transform into a common linear programming model.Examples of portfolio investment with ten bonds were given to verify the validity of the model and the method.