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natalie2003 · 2021年05月12日

问一道题:NO.PZ201812020100000705 第5小题 [ CFA III ]

* 问题详情,请 查看题干

问题如下:

Based on Exhibit 2, the amount that Hirji should allocate to the 2-year bond position is closest to:

选项:

A.

C$331 million.

B.

C$615 million.

C.

C$1,492 million

解释:

C is correct.

In order to take duration-neutral positions that will profit from an increase in the curvature of the yield curve, Hirji should structure a condor. This condor structure has the following positions: long the 2-year bonds, short the 5-year bonds, short the 10-year bonds, and long the long-term bonds. Hirji’s allocation to the 2-year bond position is calculated as follows: The C$150 million long-term bonds have a money duration of C$150 × 1,960 = C$294,000

Allocation to 2-year bond = Money duration of long-term bonds/PVBP of 2-year bond

2-year bond position = C$294,000/197 = 1,492.39 or C$1,492 million

老师您好,既然左边翅膀和右边翅膀不一定相等……怎么能用左边的长期直接算右边的2年的?

1 个答案

pzqa015 · 2021年05月14日

嗨,爱思考的PZer你好:


同学你好,题目中有关键的一句话“the positions must be duration neutral,and the maximum position that Malaysian client can take in long-term bonds is C$150million。”

那么我们认为四个子头寸的BPV是相等的。

正常情况下,对于一个condor。比如long 2s,short5s,short10s,long 30s,

MD2S*PV2S= MD5S*PV5S; MD10S*PV10S= MD30S*PV30S

题目中the positions must be duration neutral表明,MD2S*PV2S= MD5S*PV5S=MD10S*PV10S= MD30S*PV30S

所以,已知PV30S=150m, MD30S=19.6, MD2S=197,可以求出PV2S=150*19.6/1.97=1942.38

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