RSK4805 Assignment 4 (COMPLETE ANSWERS) 2024 - DUE September 2024 ; 100% TRUSTED Complete, trusted solutions and explanations.
RSK4805 Assignment 4 (COMPLETE ANSWERS) 2024 - DUE September 2024 ; 100% TRUSTED Complete, trusted solutions and explanations.
RSK4805 Assignment 4 (COMPLETE ANSWERS) 2024 - DUE September 2024 ; 100% TRUSTED Complete, trusted solutions and explanations.
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Market Risk Management
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, RSK4805 Assignment 4 (COMPLETE ANSWERS) 2024 -
DUE September 2024 ; 100% TRUSTED Complete, trusted
solutions and explanations.
Q1 Suppose that each of two investments has a 4% chance of a
loss of R15 million, a 1% chance of a loss of R1.5 million and a
95% chance of a profit of R1.5 million. They are independent of
each other. Calculate the expected shortfall (ES) when the
confidence level is 95%? The expected shortfall for one of the
investments is the expected loss conditional that the loss is in the
5% tail. Given that we are in the tail, there is a Answer %
chance than the loss is R1.5 million and an Answer % chance
that the loss is R15 million. The expected loss is equal to R
Answer million. Round your answer to two decimal places (e.g.,
10.15 million)
To calculate the Expected Shortfall (ES) for one of the
investments at a 95% confidence level, we first need to
calculate the expected loss given that the loss is in the 5% tail
of the distribution. The tail consists of two possible losses: R1.5
million and R15 million. Here's the step-by-step solution:
1. Understanding the probabilities
• There is a 4% chance of a loss of R15 million.
• There is a 1% chance of a loss of R1.5 million.
• The 5% tail consists of the cases where the loss is either
R1.5 million or R15 million. Since we're interested in the
tail, we ignore the 95% chance of profit.
2. Conditional probabilities in the tail
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