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Aaabby · 2020年07月27日

问一道题:NO.PZ2019100901000019

问题如下:

Foresight International Assurance is an international multiline insurance conglomerate. Under its overall strategic financial plan, it computes the annualized standard deviation of returns on investment assets as 5.0% and on liabilities as 2.5%. The bulk of its liabilities are constituted by the net present value of expected claims payouts. The correlation between asset and liability returns is therefore a very low 0.25. Foresight’s common equity to financial assets ratio is 20.0%.

What is the standard deviation of changes in the value of Foresight’s shareholder capitalization?

选项:

解释:

We use Equation 9 recognizing that A ÷ E = 1/0.20 = 5; (A ÷ E) –1 = 4; the standard deviation of asset returns ( σA/A) = 0.05; the standard deviation of changes in liability values ( σL/L) = 0.025; and the correlation between asset and liability value changes (ρ)= 0.25.

First, we compute the variance of shareholders’ capital value changes:



The standard deviation of shareholder capital valuation change is the square root of the variance. Thus,


老师好!请问【standard deviation of asset returns】=【( σ∆A/A) 】 吗?不应该是【standard deviation of asset returns】=【( σA) 】吗?

1 个答案

发亮_品职助教 · 2020年07月27日

嗨,努力学习的PZer你好:


“请问【standard deviation of asset returns】=【( σ∆A/A) 】 吗?不应该是【standard deviation of asset returns】=【( σA) 】吗?”


需要具体看题目要求的是哪个数据的标准差。

因为这里有说是:standard deviation of asset returns;注意是Asset return,我们要算资产收益率的标准差,那我们需要先求出资产的收益率数据∆A/A,然后再求标准差。所以计算的是 ∆A/A的标准差;

如果这里说的是:standard deviation of asset values,让我们求资产价值的标准差,那我们就使用资产的价值数据即可,即使用A的数据即可,然后求 σA。


然后这道题他的问题也说了,让我们计算:standard deviation of changes in the value;

他说的是Changes in the value的标准差,让我们计算Value改变量的标准差,所以我们需要先求Equity value的改变量, 即,∆E/E,然后再求标准差 σ∆E/E。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!