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Rina · 2021年05月26日

请问求出来的结果需要年化吗?

* 问题详情,请 查看题干

NO.PZ201903040100000101

问题如下:

1.Based on Exhibit 1, Johnson should price the three-year Libor-based interest rate swap at a fixed rate closest to:

选项:

A.

0.34%.

B.

1.16%.

C.

1.19%.

解释:

C is correct. The swap pricing equation is

ϒFIX=1PV0,tn(1)i=1nPV0,ti(1)ϒ_{FIX}=\frac{1-PV_{0,t_n}(1)}{\displaystyle\sum_{i=1}^n{PV_{0,ti}(1)}}

That is, the fixed swap rate is equal to 1 minus the final present value factor (in this case, Year 3) divided by the sum of the present values (in this case, the sum of Years 1, 2, and 3). The sum of present values for Years 1, 2, and 3 is calculated as

i=1nPV0,ti(1) = 0.990099 + 0.977876 + 0.965136 = 2.933111\sum_{i=1}^nPV_{0,ti}{(1)}\text{ }=\text{ }0.990099\text{ }+\text{ }0.977876\text{ }+\text{ }0.965136\text{ }=\text{ }2.933111

Thus, the fixed-swap rate is calculated as

</sup></em><i>γFLX=1  0.9651362.933111=0.01189 or 1.19%\gamma_{FLX}=\frac{1\text{ }-\text{ }0.965136}{2.933111}=0.01189\text{ }or\text{ }1.19\%

想问下,这里需要进行年化吗?什么时候需要年化,可否帮助总结一下?

1 个答案

WallE_品职答疑助手 · 2021年05月26日

嗨,从没放弃的小努力你好:


这一题已经是年化的了,因为1年reset一次。


如果是半年reset 1次 要乘以2,3个月reset一次要乘以4.

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努力的时光都是限量版,加油!

Rina · 2021年05月26日

所以年化是看reset period,我之前误以为是看债券期限了。谢谢!