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梦梦 · 2024年03月11日

A、B和C选项分别是什么意思呢?

NO.PZ2023090501000085

问题如下:

A junior market risk analyst is studying the mechanics of the EWMA approach for estimating volatility. The analyst observes that the approach applies various weights to a series of historical returns, and the return needed to update the EWMA calculation is the most recent day's squared return. Which of the following statements is correct?

选项:

A.

Daily returns prior to the most recent day have no influence on the current variance rate estimate in the EWMA calculation.

B.

Daily returns prior to the most recent day are reflected in the EWMA calculation by the smoothing parameter (A).

C.

Daily returns prior to the most recent day are reflected in the EWMA calculation by the most recent day's squared return.

D.

Daily returns prior to the most recent day are reflected in the EWMA calculation by the previous variance rate estimate.

解释:

Explanation

D is correct. The EWMA formula is:


Under the EWMA approach, when a new return is observed, the variance rate estimate is updated using this return. When the next new return is observed, the previously observed return is not needed, as it is reflected in the previously calculated variance rate estimate. In this way, the term 血_i in the formula contains information on all past returns.

A, B, and C are incorrect, as per the above explanation.

Section Valuation and Risk Models

Learning

Objective Apply the exponentially weighted moving average (EWMA) approach to estimate volatility, and describe alternative approaches to weighting historical return data.

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

老师您好,A、B和C分别是什么意思呢?其中选项A为什么不对呢?

1 个答案

pzqa27 · 2024年03月11日

嗨,爱思考的PZer你好:


A说的是最近一天之前的每日回报率是不会影响现在的波动率估计的,这个不是对的,请看下图,近一天之前的每日回报率会影响上一期的波动率,从而影响当期的波动率。同理C也不对,最近一天之前的每日回报率影响的是上一期的波动率,而不是最近一天的回报率。B说的是最近一天之前的每日回报率会影响一个平滑参数A,这个也不对,明显是凑选项的。只有D是对的。


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