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Download manual (631K PDF) - DefaultRisk.com

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CDO models: Opening the black box – Part four<br />

Monte Carlo cookbook recipe..<br />

..a very simple algorithm<br />

►<br />

For pricing purposes, the above described approach is applied on portfolio level<br />

►<br />

For each Monte-Carlo run<br />

‣ Draw a random number for each credit<br />

‣ Generate dependent default times using the copula of choice<br />

‣ A given tranche experiences a default event, resulting in a principal loss, if the total loss corresponding to the number of defaults<br />

occurring before the tranche’s maturity is higher than the attachment point<br />

‣ For each tranche, store the PV of losses<br />

►<br />

Repeat n times, where n is the number of simulations<br />

►<br />

Once finished:<br />

‣ Calculate the expected loss for each tranche, by summing all discounted losses and dividing this by the number of simulations<br />

‣ Calculate the DV01<br />

‣ Divide the tranche EL by the DV01 to arrive at the fair spread<br />

10

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