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Lich · 2025年04月24日

如题

NO.PZ2024042601000145

问题如下:

The head of the CVA desk at an investment bank asks an analyst to report on the factors that have the potential to impact the estimation of counterparty exposure metrics. The analyst focuses on the expected future value (EFV) metric which the CVA desk typically uses for estimating the unilateral CVA (UCVA) for cross-currency counterparty positions. The analyst finds several factors that cause the EFV to vary significantly from its current value. Which of the following correctly explains EFV variations?

选项:

A.

The default intensity of the investment bank tends to change.

B.

The cash flows in the transactions tend to be symmetric.

C.

The interest rates have an implied drift.

D.

The distribution of future values requires a normal distribution assumption.

解释:

C is correct. When there are drifts in the market variables, for instance, forward rates being significantly different from spot rates, then future value for a given portfolio can be higher or lower.

A is incorrect. The bank’s default intensity (probability of default) does not impact its estimation of EFV of counterparty positions, it only affects the default event indicator.

B is incorrect. Asymmetric cash flows are consistent with variation in EFV. Symmetry implies that the EFV is always zero.

D is incorrect. The distribution of future values does not require a normal distribution assumption and does not explain variation in EFV. Even if the distribution of future values (such as CDS) is a normal distribution, it can be stationary such that its expected value is constant over time (rather than varying).

请解释下四个选项

1 个答案

pzqa27 · 2025年04月24日

嗨,爱思考的PZer你好:


题目问的是,哪些因素会导致EFV与当前价值存在显著差异。正确的选项需要正确解释EFV变化的原因。

A错误:银行的违约强度(违约概率)仅影响违约事件的触发,不直接影响非违约状态下的EFV。EFV关注的是市场风险因素,而非交易对手的信用风险本身。

B错误:对称现金流意味着多头与空头风险相互抵消,EFV趋近于零。题目强调EFV显著变化,因此非对称现金流才是合理原因,对称性反而无法解释变动。

C正确:当市场变量存在漂移(例如远期利率显著偏离即期利率)时,投资组合的未来价值会因利率趋势变化而波动。利率的隐含漂移直接影响未来现金流的折现值,导致预期未来价值(EFV)与当前价值出现显著差异。

D错误:EFV的计算无需假设正态分布,且即使分布形态稳定(如正态),其均值仍可能因市场变量漂移而变动。分布假设本身不直接导致EFV变化。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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