
Explanation:
The recovery rate in the context of CDS valuation indicates the percentage of the bond's face value expected to be recovered after a default. When a financial risk manager calculates the expected payoff from a default event, they factor in the loss given default, which is the portion of the bond's face value not recovered. This is represented by (1 - recovery rate). Hence, to adjust the payoff amount, they multiply the default probability by (1 - recovery rate), effectively calculating the expected loss, which is critical for the accurate valuation of a CDS.
B is incorrect. Adding the recovery rate to the default probability would not correctly reflect the anticipated unrecovered amount.
C is incorrect. Adjusting the default probability for conservatism is not the purpose of the recovery rate.
D is incorrect. The recovery rate is not applied directly to the expected payments but to the expected loss in case of default.
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Q.6068 In the context of CDS valuation, incorporating the recovery rate is a critical step. Given a recovery rate of 40%, how would a financial risk manager use this rate to adjust the expected payoff from a default event during the valuation of a CDS?
A
Multiplying the default probability by (1 - recovery rate) to adjust the payoff amount.
B
Adding the recovery rate to the default probability to reflect increased potential returns.
C
Using the recovery rate as a direct multiplier of the default probability.
D
Applying the recovery rate to the expected payments to estimate the actual cash flows.
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