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yanan · 2024年10月20日

计算tax

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:


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 ) = 11.839 -1.05 *(7 - 3) = 7.639

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.

tax为啥不要把return on capital也交税呢

就把其他的内容算税

1 个答案
已采纳答案

李坏_品职助教 · 2024年10月21日

嗨,努力学习的PZer你好:


tax是对会计报表(利润表)中的税前利润进行征税,而return on risk capital这个不是会计上的收益,所以不需要对其征税。

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