FIN 3506 Lecture 15: Notes_15_Derivatives

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10 cdo (collateralized debt obligations) structure and valuation. Rating are estimates of the credit worthiness of a borrower done by an independent credit rating agency: s&p. The average default intensity between time 0 to time t is. Q(t) = 1-e l where (t) is the default intensity at time t l (t) t. The historical recovery rate is presented in table 20. 2. The relationship between recovery rates and default rate was found by moddy"s to be. Average recovery rate = 50. 3-6. 3 x average default rate. Following procedure: calculate the present value of the expected default rate as a function of the default probability, set this equal to the value of the default risk premium. 3 year and 5 year bonds with a 4. 5% and 4. 75% annual pay coupons. Value of the risk free bond = 101. 974125. Risk free rate sometimes taken as the libor/swap rate zero fro default probability calculations. Asset swap spread are used to extract default probabilities.

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