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In risk management, to calculate the contingency budget for risks, we use the Expected Monetary Value (EMV) formula: EMV=Probability of Risk×Impact of Risk\text{EMV} = \text{Probability of Risk} \times \text{Impact of Risk}EMV=Probability of Risk×Impact of Risk

For Risk A:

Probability: 40% or 0.40

Impact: US$100,000\text{EMV of Risk A} = 0.40 \times 100,000 = US$40,000

For Risk B:

Probability: 60% or 0.60

Impact: US$20,000\text{EMV of Risk B} = 0.60 \times 20,000 = US$12,000

Total contingency budget = EMV of Risk A + EMV of Risk B

40,000 + 12,000 = US$52,000

Thus, the total contingency budget required for both risks is US$52,000. This approach follows PMI’s risk management guidelines, specifically under the "Quantitative Risk Analysis" process. This process focuses on determining numerical probabilities and monetary impacts to compute the expected financial impact of identified risks​​.

According to the PMBOK® Guide1, the risk management plan is a component of the project management plan that describes how risk management activities will be structured and performed. It provides guidance on how the project team will identify, analyze, respond, monitor, and control risks throughout the project life cycle. The risk management plan should be reviewed and updated whenever there are changes in the project scope, schedule, budget, or objectives, as these changes may introduce new risks or affect the existing ones. In this case, the organization’s decision to accelerate a key project is a significant change that may alter the risk profile of the project. Therefore, the first action for the project risk manager to take is to revise the risk management plan to reflect the new situation and ensure that the risk management processes are aligned with the project objectives and constraints. This is part of the Plan Risk Management process in the PMBOK® Guide1. References: 1: A Guide to the Project Management Body of Knowledge (PMBOK® Guide) – Sixth Edition

The risk manager should increase stakeholder risk appetite by explaining risk handling and mitigation strategies, which will help stakeholders understand how risks can be managed and reduced, making them more comfortable with the risk process.

The best way to increase stakeholder risk appetite is to explain risk handling and mitigation strategies, which are the actions taken to reduce the probability and/or impact of risks, or to enhance the opportunities. By doing so, the risk manager can help the stakeholders understand how the risks can be managed effectively and efficiently, and how the potential benefits can outweigh the potential costs. This can also increase the stakeholder confidence and trust in the risk process and the project outcomes. The other options are not appropriate ways to increase stakeholder risk appetite. Excluding risk averse stakeholders from future risk discussions can alienate them and create conflicts. Increasing the impact of all risks in the risk breakdown structure (RBS) can exaggerate the risk exposure and create unnecessary fear and anxiety. Developing a generous probabilistic cash flow model can create unrealistic expectations and lead to poor decision making. References: PMI Risk Management Professional (PMI-RMP) Examination Content Outline and Specifications, page 81. A Guide to the Project Management Body of Knowledge (PMBOK® Guide) – Sixth Edition, pages 403-4042.

Adding correlation to the model accounts for the relationship between activities, which can result in increased variability in the model's outcomes. This will increase the standard deviation, which is a measure of the uncertainty in the model.

 According to the PMBOK Guide, 6th edition, Chapter 11: Project Risk Management1, an effect of adding the correlation to the Monte Carlo schedule risk analysis model is that it increases the standard deviation of the model. This is because:

Correlation is the statistical relationship between two or more variables. In a schedule risk analysis, correlation can be used to model the dependency between the durations of different activities. For example, if two activities are positively correlated, it means that if one activity takes longer than expected, the other activity is also likely to take longer than expected. Conversely, if two activities are negatively correlated, it means that if one activity takes longer than expected, the other activity is likely to take shorter than expected.

A Monte Carlo schedule risk analysis is a simul-ation technique that uses random values for uncertain variables, such as activity durations, to generate possible outcomes for the project schedule. The simul-ation is repeated many times to produce a probability distribution of the project completion date and duration. The standard deviation is a measure of the variability or dispersion of the distribution. A higher standard deviation means that the distribution is more spread out and less predictable.

Adding correlation to the Monte Carlo schedule risk analysis model increases the standard deviation of the model because it introduces more variability and uncertainty to the simul-ation. Correlated activities can have a cumulative effect on the project schedule, either positively or negatively, depending on the direction and strength of the correlation. This can result in more extreme outcomes for the project completion date and duration, which increase the spread of the distribution and the standard deviation.

PMBOK Guide, 6th edition, Chapter 11: Project Risk Management1

Risk Management Professional (PMI-RMP)® Exam Cert Guide2