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PRMIA 8010 exam covers a wide range of topics related to operational risk management, including risk identification, assessment and measurement, risk reporting and monitoring, and risk mitigation and control. It also covers regulatory requirements and industry best practices related to operational risk management. 8010 exam is designed to test candidates' practical knowledge and skills, as well as their ability to apply them in real-world scenarios.
PRMIA 8010 certification exam is targeted at professionals who are responsible for managing operational risks in banks, insurance companies, and other financial institutions. It is also suitable for individuals who work in consulting firms, regulatory bodies, and other organizations that deal with operational risk. 8010 exam covers various aspects of operational risk management, such as risk identification, assessment, mitigation, and reporting.
NEW QUESTION # 76
A Bank Holding Company (BHC) is invested in an investment bank and a retail bank. The BHC defaults for certain if either the investment bank or the retail bank defaults. However, the BHC can also default on its own without either the investment bank or the retail bank defaulting. The investment bank and the retail bank's defaults are independent of each other, with a probability of default of 0.05 each. The BHC's probability of default is 0.11.
What is the probabilityof default of both the BHC and the investment bank? What is the probability of the BHC's default provided both the investment bank and the retail bank survive?
- A. 0.08 and 0.0475
- B. 0.0475 and 0.10
- C. 0.11 and 0
- D. 0.05 and 0.0125
Answer: D
Explanation:
Explanation
Since the BHC always fails when the investment bank fails, the joint probability of default of the two is merely the probability of the investment bank failing, ie 0.05.
The probability of just the BHC failing, given that both the investment bank and the retail bank have survived will be equal to 0.11 - (0.05+0.05-0.05*0.05) = 0.0125. (The easiest way to understand this would be to consider a venn diagram, where the area under the largest circle is 0.11, and there are two intersecting circles inside this larger circle, each with an area of 0.05 and their intersection accounting for 0.05*0.05. We need to calculate the area outside of the two smaller circles, but within the larger circle representing the BHC).
Refer diagram below, please excuse the awful colors.
NEW QUESTION # 77
Which of the following statements is true
I. If no loss data is available, good quality scenarios can be used to model operational risk II. Scenario data can be mixed with observed loss data for modeling severity and frequency estimates III. Severity estimates should not be created by fitting models to scenario generated loss data points alone IV. Scenario assessments should only be used as modifiers to ILD or ELD severity models.
- A. I
- B. III and IV
- C. I and II
- D. All statements are true
Answer: C
Explanation:
Explanation
There are multiple ways to incorporate scenario analysis for modeling operational risk capital - and the exact approach used depends upon thequantity of loss data available, and the quality of scenario assessments.
Generally:
- If there is no past loss data available, scenarios are the only practical means to model operational risk loss distributions. Both frequency and severity estimates can be modeled based on scenario data.
- If there is plenty of past data available, scenarios can be used as a modifier for estimates that are based solely on data (for example, consider the MAX of the loss estimates at the desired quantile as provided bythe data, and as indicated by scenarios)
- If high quality scenario data is available, and there is sufficient past data, one could mix scenario assessments with the loss data and fit the combined data set to create the loss distribution. Alternatively, both could be fitted with severity estimates and then the two severities could be parametrically combined.
In short, there is considerable flexibility in how scenarios can be used.
Statement I is therefore correct, and so is statement II as both indicate valid uses of scenarios.
Statement III is not correct because it may be okay to create severity estimates based on scenario data alone.
Statement IV is not correct because while using scenarios as modifiers to other means of estimation is acceptable, that isnot the only use of scenarios.
NEW QUESTION # 78
There are two bonds in a portfolio, each with a market value of $50m. The probability of default of the two bonds are 0.03 and 0.08 respectively, over a one year horizon. If the default correlation is 25%, what is the one year expected loss on this portfolio?
- A. $5.5mc
- B. $5.26m
- C. $1.38m
- D. $11m
Answer: A
Explanation:
Explanation
We will need to calculate the joint probability distribution of the portfolio as follows.Probability of the joint default of both A and B =
The marginal probabilities (ie the standalone probabilities of default of the two bonds) are known, and if we can calculate the probability of joint defaults of the two bonds, we can calculate the rest of the entries. We thenmultiply the probabilities with the expected loss under each scenario and add them up to get the total expected loss.
The calculations are shown below. The expected loss is $5.5m, and therefore the correct answer is Choice 'd'.
NEW QUESTION # 79
For creditrisk calculations, correlation between the asset values of two issuers is often proxied with:
- A. Transition probabilities
- B. Default correlations
- C. Equity correlations
- D. Credit migration matrices
Answer: C
Explanation:
Explanation
Asset returns are relevant for credit risk models where a default is related to the value of the assets of the firm falling below the default threshold. When assessing credit risk for portfolios with multiple credit assets, it becomes necessary to know the asset correlations of the different firms. Since this data is rarely available, it is very common to approximate asset correlations using equity prices. Equity correlations are used as proxies for asset correlation, therefore Choice 'c' is the correct answer.
NEW QUESTION # 80
An investor enters into a 5-year total return swap with Bank A, with the investor paying a fixed rate of 6% annually on a notional value of $100m to the bank and receiving thereturns of the S&P500 index with an identical notional value. The swap is reset monthly, ie the payments are exchanged monthly. On Jan 1 of the fourth year, after settling the last month's payments, the bank enters bankruptcy. What is the legal claim thatthe hedge fund has against the bank in the bankruptcy court?
- A. $100m
- B. The replacement value of the swap
- C. $6m
- D. $0, as all payments on the swap are current
Answer: B
Explanation:
Explanation
According to ISDA standard definitions, the legal claim for OTCderivatives is the current replacement value of the contract. Therefore Choice 'c' is the correct answer. None of the other choices are correct.
NEW QUESTION # 81
If the marginal probabilities of default for a corporate bond for years 1, 2 and 3 are 2%, 3% and 4% respectively, what is the cumulative probability of default at the end of year 3?
- A. 91.26%
- B. 9.58%
- C. 9.00%
- D. 8.74%
Answer: D
Explanation:
Explanation
Marginal probabilities of default are the probabilities for default for a given period, conditional on survival till the end of the previous period. Cumulative probabilities of default are probabilities of default by a point in time, regardless of when the default occurs. If the marginal probabilities of default for periods 1, 2... n are p1, p2...pn, then cumulative probability of default can be calculated as Cn = 1 - (1 - p1)(1-p2)...(1-pn). For this question, we can calculate the probability of default for year 3 as =1 - (1-2%)*(1-3%)*(1-4%) = 8.74%
NEW QUESTION # 82
In respect of operational risk capital calculations, the Basel II accord recommends a confidence leveland time horizon of:
- A. 99% confidence level over a 10 year time horizon
- B. 99% confidence level over a 1 year time horizon
- C. 99.9% confidence level over a 10 day time horizon
- D. 99.9% confidence level over a 1 year time horizon
Answer: D
Explanation:
Explanation
Choice 'd' represents the Basel II requirement, all other choices are incorrect.
NEW QUESTION # 83
Which of the following contributed to the systemic failure during the credit crisis that began in 2007?
- A. Stress tests that did not stress enough
- B. All of the above
- C. Inadequate attentionpaid to liquidity risk
- D. Moral hazard from the strategy of 'originate and distribute'
Answer: B
Explanation:
Explanation
All the factors listed above contributed to systemic failure. Liquidity risk was not on the radar of regulators, and was a second priority for risk managers, and most of the focus was oncapital adequacy as liquidity was thought to be an unlikely problem. Liquidity, regardless of capital adequacy, was the primary cause of failure of a number of institutions during the crisis.
Similarly, stress tests proved to be much milder than the shocks that were actually experienced, and the strategy of 'originate and distribute' implied that the mortgage and other debt originators had no interest in any due diligence as they intended to package and sell the debt to other investors.
Therefore Choice 'd' is the correct answer.
NEW QUESTION # 84
The sum of the stand alone economic capital of all the business units of a bank is:
- A. less than the economic capital for the firm as a whole
- B. more than the economic capital for the firm as a whole
- C. equalto the economic capital for the firm as a whole
- D. unrelated to the economic capital for the firm as a whole
Answer: B
Explanation:
Explanation
Economic capital is sub-additive, ie, because of the correlation being less than perfect between the risks of thedifferent business units, the total economic capital for the firm will be less than the sum of the EC for the individual business units. Therefore Choice 'b' is the correct answer.
In practice, correlations are difficult to estimate reliably, and banks often use estimates and corroborate their capital calculations with reference to a number of data points.
NEW QUESTION # 85
Which of the following statements are true ?
I.Risk governance structures distribute rights and responsibilities among stakeholders in the corporation II. Cybernetics is the multidisciplinary study of cyber risk and control systems underlying information systems in an organization III. Corporate governance is a subset of the larger subject of risk governance IV. The Cadbury report was issued in the early 90s and was one of the early frameworks for corporate governance
- A. I and IV
- B. II and III
- C. All of the above
- D. I, II and IV
Answer: A
Explanation:
Explanation
Governance structures specify the policies, principles and procedures for making decisions about corporate direction. They distribute rights and responsibiliies among stakeholders that typically include executive management, employees, the board etc. Statement I is therefore correct.
"Cybernetics is a transdisciplinary approach for exploring regulatory systems, their structures, constraints, and possibilities. In the 21st century, the term is often used in a rather loose way to imply "controlof any system using technology" (Wikipedia). Governance literature has been affected by cybernetics, which is not the same thing as information security or cyber security. Statement II is incorrect.
Corporate governance includes risk governance, and not the other way round. Therefore statement III is incorrect.
The Cadbury Report, titled Financial Aspects of Corporate Governance, was a report issued in the UK in December 1992 by "The Committee on the Financial Aspects of Corporate Governance". The report is eponymous with the chair of the committee, and set out recommendations on the arrangement of company boards and accounting systems to mitigate corporate governance risks and failures. Statement IV is therefore correct.
NEW QUESTION # 86
CreditRisk+, the actuarial model for calculating portfolio credit risk, is based upon:
- A. the log-normal distribution
- B. the normal distribution
- C. the exponential distribution
- D. the Poisson distribution
Answer: D
Explanation:
Explanation
CreditRisk+ treats default as a binary event, ignoring downgrade risk, capital structures of individual firms in the portfolio or the causes of default. It uses a single parameter, or the mean default rate, and derives credit risk based upon the Poisson distribution. Therefore Choice 'c' is the correct answer.
NEW QUESTION # 87
Which of the following best describes economic capital?
- A. Economic capital is the amount of regulatory capital that minimizes the cost ofcapital for firm
- B. Economic capital is the amount of regulatory capital mandated for financial institutions in the OECD countries
- C. Economic capital is a form of provision for market risk losses should adverse conditions arise
- D. Economic capital reflects the amount of capital required to maintain a firm's target credit rating
Answer: D
Explanation:
Explanation
Economic capitalis often calculated with a view to maintaining the credit ratings for a firm. It is the capital available to absorb unexpected losses, and credit ratings are also based upon a certain probability of default.
Economic capital is often calculated at a levelequal to the confidence required for the desired credit rating. For example, if the probability of default for a AA rating is 0.02%, and the firm desires to hold an AA rating, then economic capital maintained at a confidence level of 99.98% would allow for such a rating. In this case, economic capital set at a 99.8% level can be thought of as the level of losses that would not be exceeded with a 99.8% probability, and would help get the firm its desired credit rating.
Choice 'c' is the correct answer. Economic capital does not target minimizing the cost of capital, nor is it a provision for losses arising from market risk. The concept of economic capital is unrelated to where an institution or firm is based, therefore Choice 'a' is incorrect as well.
NEW QUESTION # 88
For a given mean, which distribution would you prefer for frequency modeling where operational risk events are considered dependent, or in other words are seen as clustering together (as opposed to being independent)?
- A. Binomial
- B. Gamma
- C. Negative binomial
- D. Poisson
Answer: C
Explanation:
Explanation
An interesting property that distinguishes the three most used distributions for modeling event frequency is that for a given mean, their variances differ. The ratio of variance to mean (the variance-mean ratio, calculated as variance/mean) can then be used to decide the kind of distribution to use. Both the variance and the mean can be estimated from available data points from the internal or external loss databases, or the scenario exercise.
The variance-mean ratio reflects how dispersed a distribution is. (In the PRMIA handbook, the variance to mean ratio has been described as the "Q-Factor".) The Poisson distribution has its mean equal to its variance, and therefore the variance to mean ratio is 1. For the negative binomial distribution, this ratio is always greater than 1, which means there is greater dispersion compared to the mean - or more intervals with low counts as well as more intervals with high counts. For the binomial distribution, the variance to mean ratio is less than one, which means it is less dispersed than the Poisson distribution with values closer to the mean.
In a situation where operational risk events are seen as clustering together, ordependent, the variance will be higher and it would be more appropriate to use the negative binomial distribution.
NEW QUESTION # 89
Economic capital under the Earnings Volatility approach is calculated as:
- A. Expected earnings/Specific risk premium for the firm
- B. Earnings under the worst case scenario at a given confidence level/Required rate of return for the firm
- C. [Expected earningsless Earnings under the worst case scenario at a given confidence level]/Required rate of return for the firm
- D. Expected earnings/Required rate of return for the firm
Answer: C
Explanation:
Explanation
The Earnings Volatility approach to calculating economic capital is a top down approach that considers economic capital as being the capital required to make for the worst case fall in earnings, and calculates EC as equal to the worst case decrease in earnings capitalized at the rate of return expected of the firm. The worst case decrease in earnings, or the earnings-at-risk can only be stated at a given confidence level, and is equal to the Expected Earnings less Earnings under the worst case scenario.
NEW QUESTION # 90
Which of the following techniques is used to generate multivariate normal random numbers that are correlated?
- A. Markov process
- B. Simulation
- C. Pseudo random number generator
- D. Cholesky decomposition of the correlation matrix
Answer: D
Explanation:
Explanation
A PRNG (pseudorandom number generators of the kind included in statistical packages and Excel) is used to generate random numbers that are not correlated with each other, ie they are random. A Markov process is a stochastic model that depends only upon its current state. Simulation underlies many financial calculations.
None of these directly relate to generating correlated multivariate normal random numbers. That job is done utilizing a Cholesky decomposition of the correlation matrix.
Specifically, a Cholesky decomposition involves the factorization of the correlation matrix into a lower triangular matrix (a square matrix all of whose entries above the diagonal are zero) and its transpose. This can then be combined with random numbers to generate a set of correlated normal random numbers. This technique is used for calculating Monte Carlo VaR.
NEW QUESTION # 91
Which of the following decisions need to be made as part of laying down a system for calculating VaR:
I. The confidence level and horizon
II. Whether portfolio valuation is based upon a delta-gamma approximation or a full revaluation III. Whether the VaR is to be disclosed in the quarterly financial statements IV. Whether a 10 day VaR will be calculated based on 10-day return periods, or for 1-day and scaled to 10 days
- A. II and IV
- B. I and III
- C. All of the above
- D. I, II and IV
Answer: D
Explanation:
Explanation
While conceptually VaR is a fairly straightforward concept, a number of decisions need to be made to select between the different choices available for the exact mechanism to be used for the calculations.
The Basel framework requires banks toestimate VaR at the 99% confidence level over a 10 day horizon. Yet this is a decision that needs to be explicitly made and documented. Therefore 'I' is a correct choice.
At various stages of the calculations, portfolio values need to be determined. The valuation can be done using a 'full valuation', where each position is explicitly valued; or the portfolio(s) can be reduced to a handful of risk factors, and risk sensitivities such as delta, gamma, convexity etc be used to value the portfolio. The decisionbetween the two approaches is generally based on computational efficiency, complexity of the portfolio, and the degree of exactness desired. 'II' therefore is one of the decisions that needs to be made.
The decision as to disclosing the VaR in financial filings comes after the VaR has been calculated, and is unrelated to the VaR calculation system a bank needs to set up. 'III' is therefore not a correct answer.
Though the Basel framework requires a 10-day VaR to be calculated, it also allows the calculation of the 1-day VaR and and scaling it to 10 days using the square root of time rule. The bank needs to decide whether it wishes to scale the VaR based on a 1-day VaR number, or compute VaR for a 10 day period to begin with. 'IV' therefore is a decision tobe made for setting up the VaR system.
NEW QUESTION # 92
A risk management function is best organized as:
- A. reporting directly to the traders, as to be closest to the point at which risks are being taken
- B. report independently of the risk taking functions
- C. integrated with the risk taking functions as risk management should be a pervasive activity carried out at all levels of theorganization.
- D. a part of the trading desks and other risk taking teams
Answer: B
Explanation:
Explanation
The point that this question is trying to emphasize is the independence of the risk management function. The risk function should be segregated from the risk taking functions as to maintain independence and objectivity.
Choice 'd', Choice 'c' and Choice 'a' run contrary to this requirement of independence, and are therefore not correct. The risk function should report directly to senior levels, for example directly to the audit committee, and not be a part of the risk taking functions.
NEW QUESTION # 93
Which of the following statements are true:
I. Capital adequacy implies the ability of a firm to remain a going concern II. Regulatory capital and economic capital are identical as they target the same objectives III. The role of economic capital is to provide a buffer against expected losses IV. Conservative estimates of economic capital are based upon a confidence level of 100%
- A. I and III
- B. I, III and IV
- C. I
- D. III
Answer: C
Explanation:
Explanation
Statement I is true - capital adequacy indeed is a reference to the ability of the firm to stay a 'going concern'.
(Going concern is an accounting term that means the ability of the firm to continue in business without the stress of liquidation.) Statement II is not true because even though the stated objective of regulatory capital requirements is similar to the purposes for which economic capital is calculated, regulatory capital calculations are based upon a large number of ad-hoc estimates and parameters that are 'hard-coded' into regulation, while economic capital is generally calculated for internal purposes and uses an institution's own estimates and models. They are rarely identical.
Statement II is not true as the purpose of economic capital is to provide a buffer against unexpected losses.
Expected losses are covered by the P&L (or credit reserves), and not capital.
Statement IV is incorrect as even though economic capital may be calculated at very high confidence levels, that is never 100% which would require running a 'risk-free' business, which would mean there are no profits either. The level of confidence is set at a level which is an acceptable balance between the interests of the equity providers and the debt holders.
NEW QUESTION # 94
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PRMIA 8010 Operational Risk Manager (ORM) Exam is an internationally recognized certification that assesses candidates' knowledge and understanding of operational risk management. Operational Risk Manager (ORM) Exam certification is designed to equip individuals with the skills required to identify, assess, and mitigate operational risks in financial institutions. The PRMIA 8010 ORM Exam covers a wide range of topics, including the identification and classification of operational risk events, the implementation of risk management processes, and the development of risk management frameworks.
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