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Garfield · 2024年11月12日

老师好,关于tax的计算

NO.PZ2023102301000036

问题如下:

The board of directors at Bank PQP is evaluating a proposal by senior management to restructure the operations of the bank. Of key concern is the future of the bank’s consumer lending division, which has a loan portfolio amounting to EUR 180 million. The bank funds the division predominantly using unstable retail and wholesale deposits. In analyzing the credit risk condition of the division, management determines that the probability of default is 8%, the loss given default is 70%, and the exposure at default is 100% of the loan exposure. The CEO is arguing that the risk capital that has been set aside to support consumer lending, in line with the bank’s stated risk appetite, is too high compared to the performance of the other business divisions. The bank applies the same hurdle rate and effective tax rate across all business lines, and a 1-year horizon to measure parameters whose values are shown in the table below:

Assuming earnings correlations between the various divisions are the same and the main objective of each division is to add value for the bank’s shareholders, which of the following recommendations of the board is correct?

选项:

A.Close down the consumer lending division because the adjusted RAROC is less than the risk-free rate B.Close down the consumer lending division because RAROC is less than the hurdle rate C.Keep the consumer lending division because the adjusted RAROC is greater than the risk-free rate D.Keep the consumer lending division because RAROC is greater than the hurdle rate

解释:

RAROC = (ER - IC - OC - EL - Taxes + RORC) / Economic capital =(25.2 - 10.8-1.595-10.08-0.872+4.05)/ 135 = 0.04373.

where:

ER = Expected revenue = 0.14 x 180,000,000 = EUR 25.2 million

IC = Interest costs = 0.06 x 180,000,000 = EUR 10.8 million

OC = Operating costs = EUR 1.595 million

EL = Expected losses = PD x LGD x EAD = 0.08 x 0.7 x 1.0*180 million = EUR 10.08 million

Taxes = (25.2 – 10.8 – 1.595 – 10.08)*(0.32) = EUR 0.872 million

RORC = Return on risk capital = 0.03*135,000,000 = EUR 4.05 million

Transfers = 0

Adjusted RAROC = RAROC - b *(Rm - rf ) = 0.04373 - 1.05*(7%-3%) = 0.173%

Therefore, adjusted RAROC is greater than the risk-free rate, so the correct decision is to keep (accept) the consumer lending division as it can add value to the bank’s shareholders, on a risk-adjusted basis. RAROC and the hurdle rate are about the same and, using the criterion, the board would be indifferent.

为什么有的题是分子最后整体乘以(1-tax%),但这道题又是单独计算tax?谢谢!

1 个答案

pzqa27 · 2024年11月13日

嗨,从没放弃的小努力你好:


结果都是一样的,没有区别。

----------------------------------------------
努力的时光都是限量版,加油!

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