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猫猫酱 · 2021年04月28日

PVBP

NO.PZ2019103001000056

问题如下:

Edgarton evaluates the Fund’s positions from Exhibit 1 along with two of his pro forma portfolios, which are summarized in Exhibit 2:

Edgarton expects a steepening yield curve, with short-term yields rising by 1.00% and long-term yields rising by more than 1.00%.

Based on Exhibits 1 and 2, which of the following portfolios is most likely to have the best performance given Edgarton’s yield curve expectations?

选项:

A.

Current Portfolio

B.

Pro Forma Portfolio 1

C.

Pro Forma Portfolio 2

解释:

C is correct.

Given Edgarton’s expectation for a steepening yield curve, the best strategy is to shorten the portfolio duration by more heavily weighting shorter maturities. Pro Forma Portfolio 2 shows greater partial duration in the 1- and 3-year maturities relative to the current portfolio and the least combined exposure in the 10- and 30-year maturities of the three portfolios. The predicted change is calculated as follows:

Predicted change = Portfolio par amount × partial PVBP × (-curve shift in bps)/100

这里的PVBP到底market value是整个portfolio的还是单种债券的?

1 个答案

发亮_品职助教 · 2021年05月01日

嗨,爱思考的PZer你好:


这里的PVBP到底market value是整个portfolio的还是单种债券的?


整个Portfolio的Partial PVBP。

Partial PVBP代表的意思是:关键的利率点位变动1bp时,面值为100的Portfolio,他的价值变动多少元钱。


这里计算Partial PVBP时,是用了面值100的Portfolio,这是原版书在Partial PVBP的习惯,包括原版书例题,原版书正文讲解部分,以及这道课后题、以这道课后题给的公式,都说明原版书在计算Portfolio的Partial PVBP时,用的是100的面值。关于Partial PVBP无需我们计算,是已知数据,我们需要学会利用他即可。


以Current portfolio为例,1-year的Partial PVBP=0.0020;代表的是,对于这个Current portfolio,每100面值,当1-year利率变动1bp时,组合的价值变动0.0020元。那每1元的Current portfolio,1-year利率变动1bp时,组合的价值变动(0.0020/100)

那现在组合的面值是50million,于是1-year的利率变动1bp时,组合的价值变动:

50 million × (0.0020/100)

从表格中发现1-year的利率变动1%,即100bps,那仅仅是1-year利率的改变,组合的价值变动:50 million × (0.0020/100) × 100bps;其他利率点位变动对组合Current portfolio的价值影响计算同理。然后把所有利率点位的影响相加,就是整条收益率曲线改变对该组合价值的影响。


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