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KeynesYang · 2020年05月20日

问一道题:NO.PZ201903040100000109

* 问题详情,请 查看题干

问题如下:

9.Based on Exhibit 6 and the three-month US dollar Libor at expiration, the payment amount that the bank will receive to settle the 6 x 9 FRA is closest to:

选项:

A.

$19,945.

B.

$24,925.

C.

$39,781.

解释:

A is correct. Given a three-month US dollar Libor of 1.10% at expiration, the settlement amount for the bank as the receive-floating party is calculated as

Settlement amount (receive floating) = NA{[Lh(m) - FRA(0,h,m)]tm}/[1 + Dh(m)tm]

Settlement amount (receive floating) = $20,000,000[(0.011 - 0.0070)(90/360)]/[1 + 0.011(90/360)]

Settlement amount (receive floating) = $20,000/1.00275 = $19,945.15

Therefore, the bank will receive $19,945 (rounded) as the receive-floating party.

请问下,求value的画图法,我看视频里老师是在当前时刻向上箭头-向下箭头,现在求的是6时刻的value,也就是loan开始,FRA到期时刻,那么向上箭头应该就是借入的本金P,向下箭头应该是9时刻本息和按照题目要求的折现率1.1%,折现到6时刻两者做差。好像跟教研画的图不太一样,怎么折了未来两个箭头。

1 个答案
已采纳答案

xiaowan_品职助教 · 2020年05月21日

嗨,爱思考的PZer你好:


同学你好,

这道题比较简单的解法是根据定义,因为题目给出的时间点刚好是FRA到期的时间点,就直接计算贷款结束FRA帮我们实现的价差再往前折现,直接20m*(1.1%-0.7%)*(90/360)/(1+1.1%*(90/360))就可以得出结果,应该是你提到的教研的解法。

用画图法也可以,结果是一样的,我下面画了图同学可以参考:

这两种方法老师上课都有讲到,同学可以参考经典题的视频内容,有关于这道题目原题的解答


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