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PaisleyPPx · 2020年02月11日

问一道题:NO.PZ2018062006000129

问题如下:

Assuming the term structure of yield volatility is downward sloping, which of the following conclusions is most appropriate?

选项:

A.

Long-term rates are lower than short-term rates.

B.

Short-term yields have greater volatility than long-term yields.

C.

The price of short-term bonds always fluctuate more severe than long-term bonds.

解释:

B is correct.

Assuming the term structure of volatility is downward-sloping, the short-term yield will have more volatility than the long-term yield. However, the relationship between short-term rates and long-term rates can not be determined by the term structure of volatility. The bond price changes are products of two factors: the modified duration (convexity) of the bond, and the changes of the yield curve. So the price of short-term bonds may not always fluctuate more severe than long-term bonds.

老师 为什么C不对?

1 个答案

吴昊_品职助教 · 2020年02月11日

现在我们讨论的是收益波动率曲线,向下倾斜代表短期利率波动率大于长期利率波动率。因此B正确。但是利率波动率对债券价格没有影响,债券价格受到duration、convexity以及利率变化的影响。△P/P= -D×△y+1/2×C×(△y)^2