A risk profile is a summary of the key risks that an organization faces, along with the corresponding risk responses, risk owners, and risk indicators1. A risk profile is a useful tool for communicating and reporting the risk status and performance to the management and other stakeholders2. When developing a risk profile for management approval, the most useful information to include is the residual risk and the risk appetite, because:

Residual risk is the level of risk that remains after the implementation of risk responses3. It indicates the degree of exposure or uncertainty that the organization still faces, and the potential impact or consequences of the risk events. Residual risk helps the management to evaluate the effectiveness and adequacy of the risk responses, and to decide whether to accept, reduce, transfer, or avoid the risk4.

Risk appetite is the amount and type of risk that the organization is willing to accept or pursue in order to achieve its objectives5. It reflects the organization’s risk culture, strategy, and priorities, and provides a basis for setting risk thresholds and targets. Risk appetite helps the management to align the risk profile with the organizational goals and values, and to ensure that the risk responses are consistent and proportional to the risk level6.

The other options are not the most useful information when developing a risk profile for management approval, because:

Strength of detective and preventative controls is a measure of how well the controls can identify or prevent the occurrence or impact of the risk events7. It is a part of the risk response information, but it does not provide a comprehensive or holistic view of the risk profile. It does not show the residual risk or the risk appetite, which are more relevant and important for the management approval.

Effectiveness and efficiency of controls is a measure of how well the controls achieve their intended objectives and how well they use the available resources8. It is a part of the risk performance information, but it does not provide a complete or balanced view of the risk profile.It does not show the residual risk or the risk appetite, which are more significant and meaningful for the management approval.

Inherent risk and risk tolerance are related but different concepts from residual risk and risk appetite. Inherent risk is the level of risk that exists before the implementation of risk responses3. Risk tolerance is the acceptable variation or deviation from the risk appetite or the risk objectives5. They are useful for the risk assessment and analysis, but they do not provide the current or desired state of the risk profile. They do not show the residual risk or the risk appetite, which are more critical and valuable for the management approval.

References =

Risk Profile - CIO Wiki

Risk Profile: Definition, Example, and How to Create One

Residual Risk - CIO Wiki

What is Residual Risk? - Definition from Techopedia

Risk Appetite - CIO Wiki

Risk Appetite: What It Is and Why It Matters - Gartner

Preventive and Detective Controls - CIO Wiki

Control Effectiveness and Efficiency - CIO Wiki