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Grace Zhu · 2020年07月13日

问一道题:NO.PZ2016031001000088

问题如下:

All rates are annual rates stated for a periodicity of one (effective annual rates).

The 3-year implied spot rate is closest to:

选项:

A.

1.18%.

B.

1.94%.

C.

2.28%.

解释:

B is correct.

The 3 year implied spot rate is closest to 1.94%. It is calculated as the geometric average of the one-year forward rates:

(1.0080 × 1.0112 × 1.0394) = (1 + z3)3

1.05945 =(1+Z3)3

[1.05945]1/3= [(1+Z3)3] 1/3

1.01944 = 1 + z3

1.01944-1 = z3

0.01944 = z3, z3 = 1.944% or approximately 1.94%

老师,不太理解这个题?然后,用计算器怎么按呢?

1 个答案

吴昊_品职助教 · 2020年07月14日

这道题就是通过forward rate来反求spot rate。(1+S3)^3=(1+f(0y1y))×(1+f(1y1y))×(1+f(2y1y)),然后把表格内的数据代入公式的右边,就可以反求出S3了。

公式右边连乘计算器不难按,说一下怎么开三次方。先按1.05945,然后按 y^x (在数字键9上方),再按0.333333,就可以得到1.0194,最后减1即可。

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