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DFY1125 · 2024年10月31日

如果不按照答案做法,用Long E和F,Short D的方式来组合,这样得到的收益是不是会不一样呢?

NO.PZ2023040601000003

问题如下:

Wilson explains that she evaluates a variety of domestic equity funds, seeking evidence of arbitrage opportunities among them. She provides a simple example using a one-factor model that assumes the single factor is the only driver of returns. Exhibit 1 displays the data for this example.

Exhibit 1 Portfolio Information for a One-Factor Model


According to the information provided in Exhibit 1, could an arbitrage portfolio most likely be created by some combination of portfolios D, E, and F?

选项:

A.

No

B.

Yes, and the portfolio would earn an expected return of 0.25%.

C.

Yes, and the portfolio would earn an expected return of 8.60%.

解释:

Portfolio E has a factor sensitivity of 1.2 and an expected return of 8.6%. A 50/50 portfolio created from portfolios D and F would have the same factor risk of 1.2 = (1.0 + 1.4)/2 but an expected return of 8.35% = (7.7% + 9.0%)/2. The arbitrage opportunity is creating by purchasing portfolio E and shorting the 50/50 portfolio of D and F. This portfolio would be expected to earn 8.60% and pay out 8.35%, for a net of 0.25%.

老师好,因为我一开始任意挑选了组合,用的是Long EF和Short D的方式,最后得到的收益是0.5%。这个收益好像跟答案不一样,是我的答案错了嘛?还是说没错,只是组合不一样造成的。谢谢

1 个答案
已采纳答案

品职助教_七七 · 2024年10月31日

嗨,从没放弃的小努力你好:


套利的原则是无风险,即组合后的β值要相抵消。

E和F的β都比D大,怎么调权重也拼不出D的β=1.0。所以也就做不到无风险套利。这种组合方式是不可行的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

DFY1125 · 2024年11月01日

谢谢老师。难怪我那个E和F方程算出来权重是负的...明白啦

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