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梦梦 · 2025年03月06日

怎么就是PD乘以(1-PD)了?

NO.PZ2024050101000102

问题如下:

A senior risk manager at Bank Gamma is presenting to a group of newly hired junior risk analysts on calculating bilateral CVA (BCVA). To illustrate the calculations, the manager assumes that Bank Gamma and Bank Phi are the only counterparties to each other and provides the following information about Bank Gamma:

The discounted expected positive exposure to Bank Phi is CNY 60 million

The discounted expected negative exposure to Bank Phi is CNY 45 million

Additional information on the two banks is shown below:

What is the BCVA from Bank Gamma’s perspective?

选项:

A.

CNY 84,240

B.

CNY 114,615

C.

CNY 198,855

D.

CNY 201,960

解释:

B is correct. Let p denote Bank Gamma as the party (as the party making the calculation), and c denote Bank Phi as counterparty. Also, note that the BCVA = CVA + DVA

So,

CVAp = – LGDc * EPEp * PDc * (1 – PDp)

= – (0.08 * 60,000,000 * 0.018 * 0.975) = CNY -84,240

DVAp = – LGDp * ENEc * PDp * (1 – PDc)

= – (0.18 * -45,000,000 * 0.025 * 0.982) = CNY 198,855

Therefore,

BCVA = CVA + DVA = CNY -84,240 + CNY 198,855 = CNY 114,615

A is incorrect. CNY 84,240 is the CVA of Bank Gamma and the negative sign is ignored.

C is incorrect. CNY 198,855 is the DVA of Bank Gamma.

D is incorrect. CNY 201,960 is the result obtained when the expected exposures in the CVA and the DVA formulas are switched and ignored the sign of BCVA.

老师这个公式看不太明白,怎么就乘以(1-PD)了?


1 个答案

pzqa27 · 2025年03月07日

嗨,努力学习的PZer你好:


这里是作者认为CVA是建立在对手方存货的条件下的,所以这里多了一条1-PD

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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NO.PZ2024050101000102问题如下 A senior risk manager Bank Gamma is presenting to a group of newly hirejunior risk analysts on calculating bilaterCVA (BCVA). To illustrate the calculations, the manager assumes thBank Gamma anBank Phi are the only counterparties to eaother anprovis the following information about Bank Gamma:• The scounteexpectepositive exposure to Bank Phi is CNY 60 million• The scounteexpectenegative exposure to Bank Phi is CNY 45 millionAitioninformation on the two banks is shown below:Whis the BCVA from Bank Gamma’s perspective? A.CNY 84,240B.CNY 114,615C.CNY 198,855CNY 201,960 B is correct. Let p note Bank Gamma the party (the party making the calculation), anc note Bank Phi counterparty. Also, note ththe BCVA = CVA + ASo,CV= – LG * EPEp * P * (1 – P)= – (0.08 * 60,000,000 * 0.018 * 0.975) = CNY -84,240= – LG * ENEc * P * (1 – P)= – (0.18 * -45,000,000 * 0.025 * 0.982) = CNY 198,855Therefore,BCVA = CVA + A = CNY -84,240 + CNY 198,855 = CNY 114,615A is incorrect. CNY 84,240 is the CVA of Bank Gamma anthe negative sign is ignoreC is incorrect. CNY 198,855 is the A of Bank Gamma.is incorrect. CNY 201,960 is the result obtainewhen the expecteexposures in the CVA anthe A formulare switcheanignorethe sign of BCV如题。。。。。。。。

2024-10-07 22:27 2 · 回答

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2024-09-03 08:31 1 · 回答