Financial Risk Manager Part 2

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Explanation:

Correct Answer: B

Option B is the false statement. When stress testing Bilateral Credit Valuation Adjustment (BCVA), forward-looking expected exposures (EE) are not replaced by observable current exposures. Stress testing requires applying shocks to the underlying market risk factors to simulate future expected exposure profiles under stressed conditions. Replacing them with current exposures would completely eliminate the forward-looking, path-dependent nature of CCR and CVA. Furthermore, CVA relies on risk-neutral, market-implied expected exposures ( $EE^*$ ), not "subjective" (real-world) measures.

Why the other options are true:

Option A is true: BCVA incorporates Debit Valuation Adjustment (DVA), which represents the theoretical benefit to the bank of its own default risk (i.e., its debt becomes cheaper to settle if its credit quality drops). If Acme's credit quality improves (spread narrows), the probability of Acme defaulting decreases, reducing this DVA benefit. This reduction translates directly into a mark-to-market loss on the BCVA.
Option C is true (conceptually): Unlike a basic unilateral CVA—which typically assumes the calculating institution is completely default-free—BCVA explicitly accounts for the joint survival probability of both the institution and the counterparty up to time $t$ . (Note: $S(l)$ is a typographical artifact in the source text intended to represent $S_i$ ).
Option D is true: Because CVA and BCVA adjust the pricing of derivatives to account for counterparty default risk, they effectively transform Counterparty Credit Risk (CCR) into a dynamic, mark-to-market risk factor (CVA risk). This enables institutions to shock CVA just like any other market risk factor, integrating it cohesively into market risk stress testing frameworks.

(Note: The answer key block provided in the source text ("708.1 C. False...") corresponds to a missing question regarding Expected Loss ( $EL$ ) formulas and EAD/EPE parameters, and is not applicable to this BCVA question.)

Explanation:

Correct Answer: B

Why the other options are true:

Option A is true: BCVA incorporates Debit Valuation Adjustment (DVA), which represents the theoretical benefit to the bank of its own default risk (i.e., its debt becomes cheaper to settle if its credit quality drops). If Acme's credit quality improves (spread narrows), the probability of Acme defaulting decreases, reducing this DVA benefit. This reduction translates directly into a mark-to-market loss on the BCVA.
Option C is true (conceptually): Unlike a basic unilateral CVA—which typically assumes the calculating institution is completely default-free—BCVA explicitly accounts for the joint survival probability of both the institution and the counterparty up to time $t$ . (Note: $S(l)$ is a typographical artifact in the source text intended to represent $S_i$ ).
Option D is true: Because CVA and BCVA adjust the pricing of derivatives to account for counterparty default risk, they effectively transform Counterparty Credit Risk (CCR) into a dynamic, mark-to-market risk factor (CVA risk). This enables institutions to shock CVA just like any other market risk factor, integrating it cohesively into market risk stress testing frameworks.

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$BCVA = \sum_{n=1}^{N} LGD_n^* \cdot \sum_{j=1}^{T} EE_n^(t_j) \cdot q_n^(t_{j-1}, t_j) \cdot S_i^(t_{j-1}) \\ - \sum_{n=1}^{N} LGD_i^ \cdot \sum_{j=1}^{T} NEE_n^(t_j) \cdot q_i^(t_{n-1}, t_j) \cdot S_n^*(t_{j-1})$
Acme Bank is applying this BCVA formula in regard to measuring credit counterparty exposure to its counterparty, and, further, Acme will stress test this BCVA. Each of the following statements is true EXCEPT, which is false?

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Last updated: July 5, 2026 at 07:03

If Acme's own credit quality improves, Acme experiences a loss on the BCVA

For stress testing this BCVA, subjective expected exposures should be replaced by observable current exposures