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徐威廉 · 2024年04月23日

完全不懂

NO.PZ2024030508000096

问题如下:

A risk analyst at a derivatives trading firm is estimating the VaR of several options positions. The analyst considers using the delta-normal model for these estimates, but acknowledges this model has limitations that could make its application less suitable under certain situations. The analyst focuses on the following positions in options on stock LCO:

The current price of stock LCO is USD 79, and all four options expire in exactly 1 month. For which of these positions would delta-normal VaR best reflect its risk?

选项:

A.Option A B.OptionB C.Option C D.Option D

解释:

Explanation: D is correct. The delta-normal model works best for linear portfolios, and is an approximation for non-linear portfolios such as option positions. This approximation is reasonable when curvature (as measured by gamma) is low, but as gamma becomes bigger this is no longer true.

Gamma is lower for an option that is in-the-money or out-of-the-money than it is for an at-the-money option. Of the four options under consideration, option D is deep in-the-money, while options A, B, and C are closer to at-the-money. (As discussed in Section 16.4 of the text, gamma is equal for call or put option positions that are otherwise identical.) Therefore, option D has the lowest gamma, and its delta-normal VaR will offer the best approximation of its true risk out of the options given.

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

Learning Objective: Describe the limitations of the delta-normal method.

Define and describe vega, gamma, theta, and rho for option positions and calculate the gamma and vega of an option.

Reference: Global Association of Risk Professionals, Valuation and Risk Models (New York, NY: Pearson, 2023). Chapter 2. Calculating and Applying VaR [VRM–2]

这题在问啥?解释一下

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品职答疑小助手雍 · 2024年04月24日

同学你好, delta-normal VaR其实就是用underlying的价值波动去mapping出来var的值。只有delta 稳定的时候才容易mapping。所以要找一个delta最稳定的期权,深度实值的期权delta很接近1,比较稳定。所以选最实值的D。

根据你最近的提问,可能考过cfa但是知识点遗忘的太多了,而且本身只是侧重点也不和frm重合,所以还是需要听一下基础课程,起码熟悉了一些概念之后才比较容易上手做题,要不完全看不懂的题,刷的话效率很低。

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