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Pina · 2020年12月16日

问一道题:NO.PZ201712110200000201

* 问题详情,请 查看题干

问题如下:

Based on Exhibit 1, Alvarez finds that an arbitrage opportunity is:

选项:

A.

not available.

B.

available based on the dominance principle.

C.

available based on the value additivity principle.

解释:

B is correct.

Based on the dominance principle, an arbitrage opportunity exists. The dominance principle asserts that a financial asset with a risk-free payoff in the future must have a positive price today. Because Asset A and Asset B are both risk-free assets, they should have the same discount rate. Relative to its payoff, Asset A is priced at $500/525, or 0.95238, and Asset B is priced at $1,000/1,100, or 0.90909. Given its higher implied discount rate(10%) and lower corresponding price, Asset B is cheap relative to Asset A, which has a lower implied discount rate (5%) and higher corresponding price.

The arbitrage opportunity based on dominance is to sell two units of Asset A for $1,000 and buy one unit of Asset B. There is no cash outlay today, and in one year, the portfolio delivers a net cash inflow of $50 [= $1,100 – (2 ×$525)].

老师好 这题是否additivity arbitrage (payoff 一样,比较price) 也可以有? 就是用

(1100/525)*500-1000=47? 如果不可以,为什么不可以? 谢谢。

1 个答案
已采纳答案

吴昊_品职助教 · 2020年12月16日

同学你好:

判断value additivity的关键就在未来现金流的拆分和组合。如果未来现金流之间有拆分组合关系,就是value additivity。而判断dominance principle的关键在现值能否拆分和组合。如果现值之间有拆分组合关系,就是dominance。

也就是说,additivity看的是未来现金流是否存在倍数关系,而dominance看的是现值之间是否存在倍数关系。这道题很明显,现值存在倍数关系,因此是dominance。

至于为什么additivity不可以,因为1000/525是非整数,在实务中也很难买到非整数份的金融资产。所以我们只考虑整数份。