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Suppose that the risk-free zero curve is flat at 6% per annum with continuous compounding and that defaults can occur at times 0.25 years, 0.75

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Suppose that the risk-free zero curve is flat at 6% per annum with continuous compounding and that defaults can occur at times 0.25 years, 0.75 years, 1.25 years, and 1.75 years in a two- year credit default swap with semi-annual payments. Suppose that the recovery rate is 20% in the event of default and the unconditional probabilities of default for each half-year period (as seen at time zero) are 1% at times 0.25 years and 0.75 years, and 1.5% at times 1.25 years and 1.75 years. Required: Use the Hull and White model to calculate the "fair" CDS annual premium assuming that defaults only occur at mid-period at which time accrual fee is payable and notional principal for the contract is $1. You are expected to prepare four tables similar to the ones in the lecture slides. Suppose that the risk-free zero curve is flat at 6% per annum with continuous compounding and that defaults can occur at times 0.25 years, 0.75 years, 1.25 years, and 1.75 years in a two- year credit default swap with semi-annual payments. Suppose that the recovery rate is 20% in the event of default and the unconditional probabilities of default for each half-year period (as seen at time zero) are 1% at times 0.25 years and 0.75 years, and 1.5% at times 1.25 years and 1.75 years. Required: Use the Hull and White model to calculate the "fair" CDS annual premium assuming that defaults only occur at mid-period at which time accrual fee is payable and notional principal for the contract is $1. You are expected to prepare four tables similar to the ones in the lecture slides

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