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Q5) (10 marks) Consider an asset which annual return, R, is exponentially distributed with mean 5%. Find expressions and evaluate for: a) the variance b)

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Q5) (10 marks) Consider an asset which annual return, R, is exponentially distributed with mean 5%. Find expressions and evaluate for: a) the variance b) the downside semi-variance for value of k = 3. c) Define the 5% Value at Risk for this asset. d) the expected shortfall below a return of k conditional on a shortfall occurring for value of k = 3. (02 marks) (02 marks) (02 marks) (04 marks) Q5) (10 marks) Consider an asset which annual return, R, is exponentially distributed with mean 5%. Find expressions and evaluate for: a) the variance b) the downside semi-variance for value of k = 3. c) Define the 5% Value at Risk for this asset. d) the expected shortfall below a return of k conditional on a shortfall occurring for value of k = 3. (02 marks) (02 marks) (02 marks) (04 marks)

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