Explanation:
At time (the start of the margin period of risk), the value of the derivative transaction to the bank is -$55 million. Since there is a zero-threshold collateral agreement, the bank is required to post $55 million in collateral to the counterparty.
At time (the time of default), the value of the transaction to the bank is -$50 million, meaning the bank owes $50 million to the counterparty based on current market conditions.
However, the bank has already posted $55 million in collateral 20 days prior. The problem stipulates that in the event of default, none of the previously posted collateral is returned to the bank. Thus, the counterparty will retain the full $55 million.
The bank's financial exposure (the amount lost due to the counterparty's default) is the difference between the collateral posted and the actual liability at the time of default:
Exposure = Collateral Posted - Actual Liability = $55 million - $50 million = $5 million.
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Q.6215 Consider a derivative transaction between a bank and a counterparty, where the bank has entered into a collateral agreement with a zero-threshold and a margin period of risk of 20 days. In this agreement, both parties are required to post collateral equivalent to the value of their exposure. On a simulation trial, it is found that the value of the outstanding transactions to the bank at time T is -$50 million, and the value 20 days earlier is -$55 million. Assume it is stipulated that in the event of a default at time T, none of the collateral previously posted is returned to the bank. Given this information, what's the bank’s financial exposure in the event of the counterparty’s default at time T?
A
$0
B
$5 million
C
$50 million
D
$55 million
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