一本书上对于Dollar Duration定义是: A measure of the change in portfolio value for a 100bps change in market yields.It is defined as: Dollar Duration = Duration * Portfolio value * 0.01 之后他就写: A portfolio's dollar duration is a "weighted average" of the dollar durations of the component securities 以上出自Managing investment portfolios,3rd edition, page 351 Here comes a problem,为什么投资组合的DD要把每个小项目的DD做加权平均呢? DD根据定义就是指portfolio价值的绝对变化量,并不像Duration那样是百分比的变化 就像如果h(x)=f(x)+g(x),那么 h'(x)=f'(x)+g'(x),又不会等于 (f'*f+g'*g)/(f+g) 我觉得算portfolio的DD就跟求h的微分一样,直接把component的DD加起来就好QQ 然后之后的example算出来的答案就跟他差了3倍QQ,因为portfolio是3个bondXD 而且用心算就觉得我的答案比较正常....... 各位版友觉得呢?
作者: turtleken (There is only 1 Drogba) 2014-08-07 11:10:00