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凉茶325 · 2022年03月06日

为什么这里不是用limited downside risk去判断sortino ratio大啊

NO.PZ2019122802000024

问题如下:

Kloss Investments is an investment adviser whose clients are small institutional investors. Muskogh Charitable Foundation (the “Foundation”) is a client with $70 million of assets under management. The Foundation has a traditional asset allocation of 65% stocks/35% bonds. Risk and return characteristics for the Foundation’s current portfolio are presented in Panel A of Exhibit 1.
Kloss’ CIO, Christine Singh, recommends to Muskogh’s investment committee that it should add a 10% allocation to hedge funds. The investment committee indicates to Singh that Muskogh’s primary considerations for the Foundation’s portfolio are that any hedge fund strategy allocation should: a) limit volatility, b) maximize risk-adjusted returns, and c) limit downside risk.
Singh’s associate prepares expected risk and return characteristics for three portfolios that have allocations of 60% stocks, 30% bonds, and 10% hedge funds, where the 10% hedge fund allocation follows either an equity market-neutral, global macro, or convertible arbitrage strategy. The risk and return characteristics of the three portfolios are presented in Panel B of Exhibit 1.

Discuss which hedge fund strategy Singh should view as most suitable for meeting the considerations expressed by Muskogh’s investment committee.

解释:

Based on the investment committee’s considerations, Singh should view a 10% allocation to the global macro hedge fund strategy as most suitable for the Foundation. Such an allocation would result in a decrease in standard deviation (volatility) and significant increases in the combined portfolio’s Sharpe and Sortino ratios (these are the highest such ratios among the strategies presented). In addition, the lower maximum drawdown (15.0%) indicates less downside risk in the combined portfolio than with any of the other strategy choices.

这道题主要是根据题干中提供的信息来判断:

你看题目中说any hedge fund strategy allocation should: a) limit volatility, b) maximize risk-adjusted returns, and c) limit downside risk.

那你就看这3个hedge fund 里面哪个能够满足这个要求:

首先limit volatility,那就是比较标准差,standardvation 即SD,你看三个基金里面全球宏观的SD是最小的;

其次 maximize risk-adjusted returns,在表格提供的指标里面,sharp ratio 和 sortino ratio 都是衡量 risk-adjusted returns,这个指标越大肯定就越好,三个基金里面,全球宏观的是最大的

最后就是limit downside risk,衡量这个的指标是maxmium drawdown,这个指标越小越好,三个基金里面全球宏观是最小的

所以选择全球宏观。这个题目一方面要看懂题目的意思,另一方面要知道表格里面给出这个指标衡量的是什么意思。知道了这两点就好判断了。

为什么这里不是用limited downside risk去判断sortino ratio大啊。


2 个答案

伯恩_品职助教 · 2022年03月06日

嗨,努力学习的PZer你好:


Limited downside risk 不是也是说的下跌风险吗——是的,但是sortino ratio衡量的是下跌的偏差。是指波动中向下的波动。比如一个股票长期看就是10元,但是短期可能是从10元涨到20元然后再跌到5,再涨到10元,再跌到8,这个过程叫做波动,这个过程中的所有的下跌并跌过10元的过程是下偏标准差。Limited downside risk是指某个一段时间可能会下跌的风险,比如20元买了一个股票,然后跌到10元,仅仅是这一段。

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努力的时光都是限量版,加油!

伯恩_品职助教 · 2022年03月06日

嗨,从没放弃的小努力你好:


sortino ratio是一种衡量投资组合相对表现的方法。与夏普比率(Sharpe Ratio)有相似之处,但sortino ratio运用下偏标准差而不是总标准差,以区别不利和有利的波动。和夏普比率类似,这一比率越高,表明基金承担相同单位下行风险能获得更高的超额回报率。sortino ratio可以看做是夏普比率在衡量对冲基金/私募基金时的一种修正方式。所以和limited downside risk没关系

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加油吧,让我们一起遇见更好的自己!

凉茶325 · 2022年03月06日

Limited downside risk 不是也是说的下跌风险吗

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