Suppose that the risk-free zero curve is flat at 3% per annum with continuous compounding and that defaults can occur at times 0.25, 0.75, 1.25, and 1.75 years in a two-year plain vanilla credit default swap with semiannual payments. Suppose, further, that the recovery rate is 25% and the unconditional probabilities of default (as seen at time zero) are 1.5% at times 0.25 years and 0.75 years, and 2.0% at times 1.25 years and 1.75 years.
What is the credit default swap spread?
What would the credit default spread be if the instrument were a binary credit default swap with a payoff of $1?