嗨,爱思考的PZer你好:
1.“图中划红线的第一句话说现金流的总现值等于指数的现值,被动跟踪指数的投资策略怎么会要求组合的现金流现值之和等于指数的现值呢?”
- 第二点里,你划红线的句子意思是“这些现金流的现值之和,等于index的现值”。这句中“这些现金流的现值之和”指的就是index里,每一笔现金流的现值,并不是组合里的现金流的现值。
- 你承接第一点去看,第一点里说的就是manager要把index里的cash flow of non-callable securities分割开,再加上index里的callable bonds的cash flow, 所以承接第一点我们得出,第二点里的现值之和指的是index里现金流的现值之和。
2.“划红线的第二句话,说是用时间乘以现金流的现值,不是应该乘以现金流现值的权重吗?”
- 这里原版书是错误的,协会已经对这句话做出了勘误,勘误如下:The time period is then multiplied by the vertex’s proportionate share of the index. (The first cash flow at 6 months is equal to 1; the second cash flow at 12 months is equal to 2; the third cash flow at 18 months is equal to 3, etc.) Because each cash flow represents an effective zero-coupon payment in the corresponding period, the time period reflects the duration of the cash flow. For example, if the third vertex represents 3% of all cash flows, the third period’s contribution to duration might be 1.5 years x 3.0%, or 0.045
- 所以这里乘以的是每一笔现金流相对于index的权重,所以你的理解是正确的。
-------------------------------就算太阳没有迎着我们而来,我们正在朝着它而去,加油!