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Kate · 2025年02月12日

如题

NO.PZ2024101001000079

问题如下:

Question With respect to a bank's sensitivity to market risk, covariance adjustment reflects that its total VaR on a given day is:

选项:

A.A.less than the sum of the VaRs relating to each individual risk type. B.B.equal to the sum of the VaRs relating to each individual risk type. C.C.greater than the sum of the VaRs relating to each individual risk type.

解释:

Solution
  1. Correct because covariance adjustment reflects the fact that the risks within each and across risk types are not perfectly correlated and, consequently, the total VaR on a given day will be lower than the sum of the VARs relating to each individual risk type.

  2. Incorrect because covariance adjustment reflects the fact that the risks within each and across risk types are not perfectly correlated and, consequently, the total VaR on a given day will be lower than the sum of the VARs relating to each individual risk type.

  3. Incorrect because covariance adjustment reflects the fact that the risks within each and across risk types are not perfectly correlated and, consequently, the total VaR on a given day will be lower than the sum of the VARs relating to each individual risk type.

Analysis of Financial Institutions
  • explain the CAMELS (capital adequacy, asset quality, management, earnings, liquidity, and sensitivity) approach to analyzing a bank, including key ratios and its limitations

什么意思,没有看懂。可以翻译一下题目吗,为什么是小于啊

1 个答案

王园圆_品职助教 · 2025年02月12日

同学你好,本题来源于原版书课后题解析的一个结论,请看下面原版书截图红色框部分

这道题其实本质考的是不同资产之间协方差小于1,最后就会导致不同资产组合的总资产的风险小于各个资产风险的简单相加哦

举个例子

假设一家银行有两种业务,分别面临市场风险,为便于理解,我们将其简化为股票投资和债券投资。

1. 单独计算 VaR

股票投资:银行投资了价值 100 万元的股票组合,通过历史模拟法或其他 VaR 计算方法,得出在 95% 的置信水平下,一天内该股票投资组合的 VaR 为 5 万元。这意味着在 95% 的情况下,该股票组合一天内的潜在损失不会超过 5 万元。

债券投资:银行投资了价值 200 万元的债券组合,同样在 95% 的置信水平下,计算出一天内该债券投资组合的 VaR 为 3 万元。即 95% 的可能性下,债券组合一天内潜在损失不超 3 万元。

若简单将两者相加,两种投资各自 VaR 之和为 5 + 3 = 8 万元。

2. 考虑协方差调整计算总 VaR

实际上,股票市场和债券市场的波动并非完全相关。在某些市场情况下,股票市场下跌,债券市场可能因资金避险流入而上涨,反之亦然。

假设通过复杂的计算(考虑资产之间的相关性、协方差等因素),考虑协方差调整后,银行这两种投资组合整体在 95% 置信水平下一天内的总 VaR 为 6 万元。

这就表明,由于股票和债券市场风险的非完全相关性,通过协方差调整计算出的总 VaR(6 万元)小于单独计算两种投资 VaR 之和(8 万元),这体现了协方差调整在反映银行总体市场风险敏感度时,考虑到风险分散效应,使得总 VaR 低于各单独风险类型 VaR 简单加总的数值——所以本题选A

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