
Explanation:
The parameter alpha (α) is used to scale Expected Positive Exposure (EPE) to an Exposure at Default (EAD) for the purpose of calculating capital (Unexpected Loss) in Counterparty Credit Risk (CCR). Expected loss for CCR is essentially the Credit Value Adjustment (CVA), which relies on Expected Exposure (EE) or EPE but does not include the alpha multiplier. Therefore, it is inappropriate to include alpha when modifying the formula to calculate a stressed expected loss. Options A, C, and D represent valid approaches to stressing components for expected loss calculations.
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708.1. Thomas is your firm's Counterparty Credit Risk (CCR) Manager, and he is analyzing the credit risk of a portfolio that consists of two sub-portfolios: a traditional pool of funded loans plus a sub-portfolio consisting of unfunded but collateralized credit derivative positions. For each traditional loan, he calculates the expected loss (EL) as the product of its probability of default, p(i), exposure at default, EAD(i), and loss given default, LGD(i). Consequently, expected loss for the sub-pool of (n) traditional loans is given by:
In addition to estimating expected loss for the traditional loan pool and the credit derivative portfolio, Thomas wants to estimate the "stress loss" for the entire portfolio where the "stress loss," SL, is the difference between the portfolio's stressed expected loss, EL(s), and its expected loss; i.e., SL = EL(s) - EL. This exercise will require developing an expected loss and a stressed expected loss for the credit derivatives sub-portfolio in order that expected losses and stressed expected losses can be summed across the two sub-portfolios. If he begins with the traditional expected loss (EL) calculation above and modifies it in order to produce a CCR-type version of the stressed EL, EL(s), for the derivatives sub-portfolio, then he is likely to make each of the following modifications to the formula EXCEPT which is probably NOT appropriate?
A
For both sub-portfolios, he can retain default probability, p(i), and stress it to higher stressed default probability, p(i)^s
B
For the derivatives sub-portfolio, replace EAD(i) with alpha multiplied by expected positive exposure, α*EPE(i)
C
For the derivatives sub-portfolio, stress exposure at default EAD(i) to higher stressed exposure at default, EAD(i)^s
D
For the derivatives sub-portfolio, stress expected positive exposure, EPE(i), to higher stressed expected positive exposure, EPE(i)^s