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梦梦 · 2024年11月11日

var的historical simulation

NO.PZ2023091701000098

问题如下:

A risk analyst at a pension fund is using the historical simulation approach to calculate the 1-day ES of a portfolio of assets. The analyst begins by generating a set of 250 scenarios for the portfolio. Which of the following assumptions or procedures correctly describes the most appropriate way for the analyst to generate asset values for each of the scenarios used in the historical simulation?

选项:

A.Assume that a group of market variables change as they did during one of the days in a historical reference period, and apply these changes to the current values of these variables, which are then used to calculate asset values.

B.Assume that the values of the assets in the portfolio experience the same percentage change as they did during one of the days in a historical reference period.

C.Assume that a group of market variables has a multivariate normal distribution based on their movements during a historical reference period, and use a sampled value from this distribution to calculate asset values.

D.Assume that the values of the assets in the portfolio have a multivariate normal distribution based on their movements during a historical reference period, and then sample once from this distribution of asset values.

解释:

A is correct. Historical simulation involves identifying market variables (usually termed risk factors) on which the value of the portfolio under consideration depends. Daily data is collected on the behavior of the risk factors over a period in the past. Scenarios are then created by assuming that the change in each risk factor over the next day corresponds to a change observed during one of the days used in the historical simulation.

B is incorrect. Historical simulation entails modeling movements in risk factors as described in A above, and using these to calculate asset values, rather than directly modeling movements in the asset values themselves.

C is incorrect. This is part of the procedure used in Monte Carlo simulation.

D is incorrect. This models asset value movements directly rather than using risk factors, and also partially describes Monte Carlo simulation.

historical simulation 是通过历史的风险因子对价格的变动关系,模拟同样的风险因素用历史变动关系如何影响价格?求出的价格再计算收益率,从而用参数法或者非参数法计算war?

而不是直接用历史资产的收益率来计算var吗?



var计算的第一种划分,local 和full,full下面的historical,和第二种划分,historical based和implied中的historical是一个意思吗?

2 个答案

pzqa39 · 2024年11月12日

嗨,从没放弃的小努力你好:


是的

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pzqa39 · 2024年11月11日

嗨,努力学习的PZer你好:


1、是的,在历史模拟法中,通常是基于历史数据中的风险因子变化来模拟当前资产价格的变化,而不是直接使用历史资产收益率来计算 VaR。

2、第一张的“Full Valuation”是指在 VaR 计算中对整个资产组合进行全面估值的方法,而不依赖于近似方法或局部线性化方法。Historical Simulation Method 在这种情况下,通常是指不依赖任何分布假设的非参数方法,通过使用过去的历史数据直接计算 VaR。

第二张图才是历史模拟法作为一种 VaR 估算的分类,强调利用历史数据生成一组情景,这个才是1里说的情况。

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梦梦 · 2024年11月11日

也就是full下面的历史模拟是把历史收益率排序找到var?而基于历史的方法的参数法还是非参数法是您说的通过风险因子映射?

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