Assume that the default probability for a company in a year, conditional on no earlier defaults is

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Assume that the default probability for a company in a year, conditional on no earlier defaults is and the recovery rate is . The risk-free interest rate is 5% per annum. Default always occur half way through a year. The spread for a five-year plain vanilla CDS where payments are made annually is 120 basis points and the spread for a five-year binary CDS where payments are made annually is 160 basis points. Estimate and .

Assume that the default probability for a company in a
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