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Question: using panjer recursion please...

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1.24 A diversified portfolio of bonds consists of investment-grade and noninvestment-grade bonds. The number of defaults of investment- grade bonds in each month is Poisson distributed with parameter 0.2 and the number of defaults of noninvestment-grade bonds in each month is independently Poisson distributed with parameter 1. When there is a default, whether it is an investment-grade or noninvestment- grade bond, the loss is $1 million or $2 million with equal probability. Derive the recursive formula for calculating the distribution of the losses of the portfolio in a month.


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