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colin809 · 2020年11月07日

原版书答案解析的第一段话是什么意思呢?解释折现率 哪个大哪个小?

* 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)].

  原版书答案解析的第一段话是什么意思呢?解释折现率 哪个大哪个小?
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吴昊_品职助教 · 2020年11月08日

同学你好:

个人觉得原版书的解析写的有点啰嗦且复杂,不容易理解,我们可以就按照何老师上课时说的方法来解题。

additivity看的是未来现金流的拆分组合,而dominance看的是现值的拆分组合。这道题很明显,现值存在倍数关系,因此直接选择dominance。

colin809 · 2020年11月08日

行 那就不纠结他了

schuaiiza · 2021年11月11日

老师,怎么看出现值存在倍数关系呢?

吴昊_品职助教 · 2021年11月11日

嗨,努力学习的PZer你好:


通过表1,现值很明显存在两倍关系。

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