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徐威廉 · 2024年10月26日

这题没见过

NO.PZ2023102301000038

问题如下:

In calculating its risk-adjusted return on capital, your bank uses a capital charge of 2.50% for revolving credit facilities with a loan equivalent factor of 0.35 assigned to the undrawn portion. Recently, you have become concerned that the protective covenants embedded in these loans are weak and may not prevent customers from drawing on the facilities during times of stress. As such, you have recommended doubling the loan equivalent factor to 0.70. This recommendation has met with resistance from the loan origination team, and senior management has asked you to quantify the impact of your recommendation. For a typical facility that has an original principal of USD 1 billion and is 30% drawn, how much additional economic capital would have to be allocated if you increase the loan equivalent factor from 0.35 to 0.70?

选项:

A.USD 3.50 million B.USD 6.13 million C.USD 8.75 million D.USD 13.63 million

解释:

The required economic capital to support a loan in the RAROC model can be calculated using the following formula:

Required Capital= [BDRAWN + (BUNDRAWN × LEF)] × CF

Where LEF represents the loan equivalent factor and CF represents the capital factor.

Therefore the initial required economic capital is calculated as follows:

[(1 billion × 0.3) + (1 billion × 0.7 × 0.35)] × 2.5% = USD 13.625 million,

And the required capital if the change is implemented would be:

[(1 billion × 0.3) + (1 billion × 0.7 × 0.70)] × 2.5% = USD 19.75 million.

Hence the additional required economic capital would be 19.75 - 13.625 or 6.13 million.

能否讲解一下这题啥意思?

1 个答案
已采纳答案

李坏_品职助教 · 2024年10月26日

嗨,努力学习的PZer你好:


考点是RAROC model里面为了支持一笔loan所需要的economic capital。这道题太老了,应该是2018年之前的老题目,现在已经不是考纲重点,了解一下即可。


一开始, loan equivalent factor是0.35,有1billion的贷款,其中30%是drawn(已使用)部分,针对这笔贷款部分计算其required economic capital = [drawn部分的全部 + undrawn部分 * 0.35 ] * capital charge = [1billion * 0.3 + 1 billion × 0.7 × 0.35] * 2.5%=13.625 million。

后来把loan equivalent factor 改为0.7,那么新的required economic capital = [drawn部分的全部 + undrawn部分 * 0.7 ] * capital charge = 19.75 million,


二者作差即可得到additional required economic capital 是6.13 million。

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努力的时光都是限量版,加油!

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