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the Zero coupon bond issued by company A today has been modeled according to two-state model. Recovery rate is 60%, the maturity is 9 months

the Zero coupon bond issued by company A today has been modeled according to two-state model. Recovery rate is 60%, the maturity is 9 months and is priced at rs 82 per Rs 100 nominal. the risk free rate is 1.5% p.a continuous compounding for all maturities. a) What is the probability of default? b)Use part a) to calculate the implied default intensity,assuming it is a constant c) A offers to write a derivative security which pays Rs 100,000 at the end of nine months if and only if company A defaults on this debt. the current price for the derivative is Rs 8000. calculate the probability of default as estimated by the broker.

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