In the years leading up to the global financial crisis, many…
In the years leading up to the global financial crisis, many investors used credit default swaps (CDS) to hedge or speculate on the default risk of large corporations. Imagine you are working as a risk analyst at an investment bank. Your team is evaluating the fair spread of a new 5-year CDS contract on a mid-sized corporation that is rated just below investment grade. You are given data on the company’s annual probabilities of default, as well as assumptions for discount rate and recovery rate. Your task is to compute the fair annual spread of the CDS under the assumption that the protection buyer pays the full coupon only if the firm survives to the end of the year. Then determine whether the quoted spread in the market implies an upfront premium or discount. Type your answer in basis points (bps). Round your result to the nearest whole number (no decimals). Recovery Rate [rr] LGD (1-Recovery Rate) Discount Rate [rf] Spread (s) ??? PV of Expected Loss / SUM(DF_t * Survival_t) Expected Losses Leg Premium Leg Prob Default Present Value Present Value Discount Factor t PD_t LGD*PD (LGD*PD)*DF Survival_t s*Survival_t (s*Survival_t)*DF_t DF_t 1 [pd1]% (1-PD_1) 2 [pd2]% (1-SUM(PD_1:PD_2) 3 [pd3]% (1-SUM(PD_1:PD_3) 4 [pd4]% (1-SUM(PD_1:PD_4) 5 [pd5]% (1-SUM(PD_1:PD_5) Present Value of Expected Loss: (SUM of PVs) Present Value of Premiums: (SUM of PVs)
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