Consider a $5-$year credit default swap with annual payments. Assume that defaults can happen only halfway through each year. The hazard rate is $5\%$ with continuous compounding and the recovery rate is $30\%.$The risk$-$frae rate is $4\%$ with continuous compounding, for all maturities. C$)$ What is the unconditional probability of default in year $5?$ D$)$ What is the present value of all expected payoffs $($per dollar of notional principal$)?$ E$)$ What is the expected accrual payment in year $5,$ expressed as a multiple of the CDS Spread? F$)$ What is the credit default swap spread $($in basis points$)?$ G$)$ What is the fixed annual CDS payment $($in $$)?$H$)$ What is the value of the swap to the protection buyer if the credit default swap spread is $180$ basis points instead $($per dollar of notional principal$)?$ I$)$ What is the value of the swap to the protection buyer if the credit default swap spread is $180$ basis points $($in $$)?$