For the Merton process: demonstrate that we can recover the Merton equation from the expression: where and

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For the Merton process:

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demonstrate that we can recover the Merton equation from the expression: image text in transcribed where image text in transcribed

and the expectation takes into account the behaviour of the portfolio conditional on a jump, and conditional on no jumps. (This is effectively the original CAPM based argument used by Merton.)

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