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葫芦娃吃生菜 · 2024年03月02日

请问,这道题怎么做呢,没有很理解

NO.PZ2023090501000077

问题如下:

A risk manager at a hedge fund currently uses historical data to estimate the future volatility of a portfolio of US equities. To improve on the current methodology, the manager is considering adding the use of implied volatility of the equity assets, while also assessing the potential drawbacks of using this metric. Which of the following correctly describes a weakness of implied volatility as a predictor of future volatility?

选项:

A.

Broad indexes of implied volatility do not exist, making forecasting the volatility of broad asset classes difficult.

B.

Implied volatility is a backward-looking measure, which limits its usefulness in estimating future volatility.

C.

Implied volatilities are not available for assets that do not have actively traded options.

D.

In practice, implied volatilities differ for options with different maturities on the same underlying asset, even though theory suggests they should be the same.

解释:

Explanation

C is correct. Options are not actively traded on all assets; in these instances, reliable implied volatilities are not available.

A is incorrect. Volatility indexes exist that track the implied volatility of several major asset class indexes, including the S&P 500 (i.e. the “VIX”), commodities, interest rates, currencies, and other stock indexes.

B is incorrect. Implied volatilities are forward looking, whereas the volatilities calculated from historical data are backward looking.

D is incorrect. Implied volatilities for options of different maturities on the same underlying do indeed differ. However, these implied volatilities for different maturities give an indication of average volatility expected over the respective time periods. Because volatility exhibits mean reversion, we do not expect implied volatilities to be the same for options of all maturities.

Section Valuation and Risk Models

Learning Objective Evaluate implied volatility as a predictor of future volatility and its shortcomings.

Reference Global Association of Risk Professionals. Valuation and Risk Models. New York, NY: Pearson, 2022. Chapter 3. Measuring and Monitoring Volatility.

请问,这道题怎么做呢,没有很理解

1 个答案

pzqa27 · 2024年03月04日

嗨,爱思考的PZer你好:


这个题问的是隐含波动率的缺点有哪些

A说的是由于不存在广泛的隐含波动率指数,因此很难预测大类资产的波动率。这个是不对的,波动率指数是存在的,比如VIX,因此A不对。

B说的是隐含波动率是一种后向波动率,这限制了它在估计未来波动率方面的作用。这个也是不对的,隐含波动率是fortward looking的波动率,是具有前瞻性的,它是从期权的价格中反推出来的,因此具有投资者对未来波动率的一个预期。

因此C是对的,对于没有活跃交易期权的资产,这些资产的option价格本身并不公允并且数据较少,因此没法获取隐含波动率。这也的确是隐含波动率的一个缺点。

D说的是在实践中,同一标的资产的不同到期日期权的隐含波动率是不同的,尽管理论上它们应该是相同的。这个也是不对的,不同到期日option的价格本身也会不同,因此理论上求出的隐含波动率也应该是不同的。



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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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