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PRM Certification - Exam III: Risk Management Frameworks, Operational Risk, Credit Risk, Counterparty Risk, Market Risk, ALM, FTP - 2015 Edition

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Question # 1

A portfolio has two loans, A and B, each worth $1m. The probability of default of loan A is 10% and that of loan B is 15%. The probability of both loans defaulting together is 1%. Calculate the expected loss on the portfolio.

Options:

A.  

500000

B.  

250000

C.  

1000000

D.  

240000

Discussion 0
Question # 2

Which of the following is not true about the ISDA master agreement (ISDA MA):

Options:

A.  

All transactions under the ISDA MA are considered separate obligations

B.  

The ISDA MA describes the close out process

C.  

The CSA (Credit Support Annex) is one of the parts of the ISDA MA

D.  

The ISDA MA describes events of default, and termination events

Discussion 0
Question # 3

If A and B be two uncorrelated securities, VaR(A) and VaR(B) be their values-at-risk, then which of the following is true for a portfolio that includes A and B in any proportion. Assume the prices of A and B are log-normally distributed.

Options:

A.  

VaR(A+B) > VaR(A) + VaR(B)

B.  

VaR(A+B) = VaR(A) + VaR(B)

C.  

VaR(A+B) < VaR(A) + VaR(B)

D.  

The combined VaR cannot be predicted till the correlation is known

Discussion 0
Question # 4

Which of the following is NOT true in respect of bilateral close out netting:

Options:

A.  

The net amount due is immediately receivable or payable

B.  

All transactions are immediately closed out upon the occurrence of a credit event for either of the counterparties

C.  

All transactions are netted against each other

D.  

Transactions are separated by transaction type and immediately settled separately at each's replacement value

Discussion 0
Question # 5

Which of the following should be included when calculating the Gross Income indicator used to calculate operational risk capital under the basic indicator and standardized approaches under Basel II?

Options:

A.  

Insurance income

B.  

Operating expenses

C.  

Fees paid to outsourcing service proviers

D.  

Net non-interest income

Discussion 0
Question # 6

Which of the following statements is true in relation to a normal mixture distribution:

I. The mixture will always have a kurtosis greater than a normal distribution with the same mean and variance

II. A normal mixture density function is derived by summing two or more normal distributions

III. VaR estimates for normal mixtures can be calculated using a closed form analytic formula

Options:

A.  

I and III

B.  

I, II and III

C.  

II and III

D.  

I and II

Discussion 0
Question # 7

Which of the following event types is hacking damage classified under Basel II operational risk classifications?

Options:

A.  

Damage to physical assets

B.  

External fraud

C.  

Information security

D.  

Technology risk

Discussion 0
Question # 8

A bank holds a portfolio of corporate bonds. Corporate bond spreads widen, resulting in a loss of value for the portfolio. This loss arises due to:

Options:

A.  

Liquidity risk

B.  

Credit risk

C.  

Market risk

D.  

Counterparty risk

Discussion 0
Question # 9

If the annual variance for a portfolio is 0.0256, what is the daily volatility assuming there are 250 days in a year.

Options:

A.  

0.0101

B.  

0.4048

C.  

0.0006

D.  

0.0016

Discussion 0
Question # 10

Which of the following correctly describes a reverse stress test:

Options:

A.  

Stress tests that start from a known stress test outcome and then ask what events could lead to such an outcome for the bank

B.  

A stress test that considers only qualitative factors that go beyond mathematical modeling to examine feedback loops and the effect of macro-economic fundamentals

C.  

Stress tests that are prescribed and conducted by a regulator in addition to the tests done by a bank

D.  

A stress test that requires a role reversal between risk managers and the risk taking business units in order to determine credible scenarios

Discussion 0
Question # 11

The standard error of a Monte Carlo simulation is:

Options:

Discussion 0
Question # 12

Which of the following statements are true in relation to Monte Carlo based VaR calculations:

I. Monte Carlo VaR relies upon a full revalution of the portfolio for each simulation

II. Monte Carlo VaR relies upon the delta or delta-gamma approximation for valuation

III. Monte Carlo VaR can capture a wide range of distributional assumptions for asset returns

IV. Monte Carlo VaR is less compute intensive than Historical VaR

Options:

A.  

I and III

B.  

II and IV

C.  

I, III and IV

D.  

All of the above

Discussion 0
Question # 13

Conditional VaR refers to:

Options:

A.  

expected average losses conditional on the VaR estimates not being exceeded

B.  

value at risk when certain conditions are satisfied

C.  

expected average losses above a given VaR estimate

D.  

the value at risk estimate for non-normal distributions

Discussion 0
Question # 14

Which of the following losses can be attributed to credit risk:

I. Losses in a bond's value from a credit downgrade

II. Losses in a bond's value from an increase in bond yields

III. Losses arising from a bond issuer's default

IV. Losses from an increase in corporate bond spreads

Options:

A.  

I, III and IV

B.  

II and IV

C.  

I and II

D.  

I and III

Discussion 0
Question # 15

In the case of historical volatility weighted VaR, a higher current volatility when compared to historical volatility:

Options:

A.  

will not affect the VaR estimate

B.  

will increase the confidence interval

C.  

will decrease the VaR estimate

D.  

will increase the VaR estimate

Discussion 0
Question # 16

Which of the following statements is true in relation to the Supervisory Capital Assessment Program (SCAP):

I. The SCAP is an annual exercise conducted by the Treasury Department to determine the health of key financial institutions in the US economy

II. The SCAP was essentially a stress test where the stress scenarios were specified by the regulators

III. Capital buffers calculated under the SCAP represented the amount of capital that the institutions covered by SCAP held in excess of Basel II requirements

IV. The SCAP focused on both total Tier 1 capital as well as Tier 1 common capital

Options:

A.  

I, II and IV

B.  

I and III

C.  

II and IV

D.  

I and III

Discussion 0
Question # 17

What percentage of average annual gross income is to be held as capital for operational risk under the basic indicator approach specified under Basel II?

Options:

A.  

0.125

B.  

0.08

C.  

0.12

D.  

0.15

Discussion 0
Question # 18

Which of the following represent the parameters that define a VaR estimate?

Options:

A.  

trading position and distribution assumption

B.  

confidence level and the underlying stochastic process

C.  

confidence level, the holding period and expected volatility

D.  

confidence level and the holding period

Discussion 0
Question # 19

According to the Basel II framework, subordinated term debt that was originally issued 4 years ago with a maturity of 6 years is considered a part of:

Options:

A.  

Tier 2 capital

B.  

Tier 1 capital

C.  

Tier 3 capital

D.  

None of the above

Discussion 0
Question # 20

The probability of default of a security over a 1 year period is 3%. What is the probability that it would not have defaulted at the end of four years from now?

Options:

A.  

11.47%

B.  

88.53%

C.  

12.00%

D.  

88.00%

Discussion 0
Question # 21

The generalized Pareto distribution, when used in the context of operational risk, is used to model:

Options:

A.  

Tail events

B.  

Average losses

C.  

Unexpected losses

D.  

Expected losses

Discussion 0
Question # 22

Which of the following statements are true:

I. Liquidity risks during time of crisis may be exacerbated by large collateral calls continuing over a period of time.

II. Stress tests are always separately modeled from VaR computations which cannot deal with stress scenarios of the kind considered in stress tests.

III. A maximum loss scenario considers the maximum possible loss given a 'plausibility constraint' that is based upon the joint probability of such a loss happening

Options:

A.  

I, II and III

B.  

I and II

C.  

II and III

D.  

I and III

Discussion 0
Question # 23

When pricing credit risk for an exposure, which of the following is a better measure than the others:

Options:

A.  

Expected Exposure (EE)

B.  

Notional amount

C.  

Potential Future Exposure (PFE)

D.  

Mark-to-market

Discussion 0
Question # 24

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?

Options:

A.  

$1.38m

B.  

$11m

C.  

$5.26m

D.  

$5.5mc

Discussion 0
Question # 25

Which of the following statements is true in respect of different approaches to calculating VaR?

I. Linear or parametric VaR does not take correlations into account

II. For large portfolios with little or no optionality or other non-linear attributes, parametric VaR is an efficient approach to calculating VaR

III. For large portfolios with complex sources of risk and embedded optionalities, the full revaluation method of calculating VaR should be preferred

IV. Delta normal local revaluation based VaR is suitable for fixed income and option portfolios only

Options:

A.  

I, II, III and IV

B.  

I and IV

C.  

II and III

D.  

III only

Discussion 0
Question # 26

According to the implied capital model, operational risk capital is estimated as:

Options:

A.  

Operational risk capital held by similar firms, appropriately scaled

B.  

Total capital less market risk capital less credit risk capital

C.  

Capital implied from known risk premiums and the firm's earnings

D.  

Total capital based on the capital asset pricing model

Discussion 0
Question # 27

For a loan portfolio, expected losses are charged against:

Options:

A.  

Economic capital

B.  

Regulatory capital

C.  

Credit reserves

D.  

Economic credit capital

Discussion 0
Question # 28

Ex-ante VaR estimates may differ from realized P&L due to:

I. the effect of intra day trading

II. timing differences in the accounting systems

III. incorrect estimation of VaR parameters

IV. security returns exhibiting mean reversion

Options:

A.  

I and III

B.  

II, III and IV

C.  

I, II and III

D.  

I, II and IV

Discussion 0
Question # 29

If the returns of an asset display a strong tendency for mean reversion, what is the relationship between annualized volatility calculated based on daily versus weekly volatilities (using the square root of time rule)?

Options:

A.  

Either daily or weekly volatility will be greater, depending upon how the week went

B.  

Daily and weekly volatilities will be the same

C.  

Daily volatility will be greater than weekly volatility

D.  

Weekly volatility will be greater than daily volatility

Discussion 0
Question # 30

For a hypotherical UoM, the number of losses in two non-overlapping datasets is 24 and 32 respectively. The Pareto tail parameters for the two datasets calculated using the maximum likelihood estimation method are 2 and 3. What is an estimate of the tail parameter of the combined dataset?

Options:

A.  

2.57

B.  

2.23

C.  

3

D.  

Cannot be determined

Discussion 0
Question # 31

For a 10 year interest rate swap, what would be the worst time for a counterparty to default (in terms of the maximum likely credit exposure)

Options:

A.  

10 years

B.  

Right after inception

C.  

2 years

D.  

7 years

Discussion 0
Question # 32

Which of the following statements is true in respect of a non financial manufacturing firm?

I. Market risk is not relevant to the manufacturing firm as it does not take proprietary positions

II. The firm faces market risks as an externality which it must bear and has no control over

III. Market risks can make a comparative assessment of profitability over time difficult

IV. Market risks for a manufacturing firm are not directionally biased and do not increase the overall risk of the firm as they net to zero over a long term time horizon

Options:

A.  

III only

B.  

IV only

C.  

I and II

D.  

III and IV

Discussion 0
Question # 33

Assuming all other factors remain the same, an increase in the volatility of the returns on the assets of a firm causes which of the following outcomes?

Options:

A.  

An increase in the value of the equity of the firm

B.  

An increase in the value of the callable debt of the firm

C.  

A decrease in the value of the implicit put in in the debt of the firm

D.  

A decrease in the value of the non-callable debt issued by the firm

Discussion 0
Question # 34

For a security with a daily standard deviation of 2%, calculate the 10-day VaR at the 95% confidence level. Assume expected daily returns to be nil.

Options:

A.  

0.02

B.  

0.104

C.  

0.1471

D.  

None of the above.

Discussion 0
Question # 35

Consider a portfolio with a large number of uncorrelated assets, each carrying an equal weight in the portfolio. Which of the following statements accurately describes the volatility of the portfolio?

Options:

A.  

The volatility of the portfolio is the same as that of the market

B.  

The volatility of the portfolio will be close to zero

C.  

The volatility of the portfolio will be equal to the square root of the sum of the variances of the assets in the portfolio weighted by the square of their weights

D.  

The volatility of the portfolio will be equal to the weighted average of the volatility of the assets in the portfolio

Discussion 0
Question # 36

Which of the following are considered asset based credit enhancements?

I. Collateral

II. Credit default swaps

III. Close out netting arrangements

IV. Cash reserves

Options:

A.  

II and IV

B.  

I, II and IV

C.  

I and IV

D.  

I and III

Discussion 0
Question # 37

Financial institutions need to take volatility clustering into account:

I. To avoid taking on an undesirable level of risk

II. To know the right level of capital they need to hold

III. To meet regulatory requirements

IV. To account for mean reversion in returns

Options:

A.  

II, III and IV

B.  

I & II

C.  

I, II and III

D.  

I, II and IV

Discussion 0
Question # 38

Company A issues bonds with a face value of $100m, sold at issuance at $98. Bank B holds $10m in face of these bonds acquired at a price of $70. What is Bank B's exposure to the debt issued by Company A?

Options:

A.  

$10m

B.  

$9.8m

C.  

$7m

D.  

$6.86m

Discussion 0
Question # 39

The VaR of a portfolio at the 99% confidence level is $250,000 when mean return is assumed to be zero. If the assumption of zero returns is changed to an assumption of returns of $10,000, what is the revised VaR?

Options:

A.  

240000

B.  

226740

C.  

273260

D.  

260000

Discussion 0
Question # 40

Which of the following are valid methods for selecting an appropriate model from the model space for severity estimation:

I. Cross-validation method

II. Bootstrap method

III. Complexity penalty method

IV. Maximum likelihood estimation method

Options:

A.  

II and III

B.  

I, II and III

C.  

I and IV

D.  

All of the above

Discussion 0
Question # 41

If P be the transition matrix for 1 year, how can we find the transition matrix for 4 months?

Options:

A.  

By calculating the cube root of P

B.  

By numerically calculating a matrix M such that M x M x M is equal to P

C.  

By dividing P by 3

D.  

By calculating the matrix P x P x P

Discussion 0
Question # 42

Which of the following is the most accurate description of EPE (Expected Positive Exposure):

Options:

A.  

The maximum average credit exposure over a period of time

B.  

The price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date

C.  

Weighted average of the future positive expected exposure across a time horizon.

D.  

The average of the distribution of positive exposures at a specified future date

Discussion 0
Question # 43

When compared to a low severity high frequency risk, the operational risk capital requirement for a medium severity medium frequency risk is likely to be:

Options:

A.  

Zero

B.  

Lower

C.  

Higher

D.  

Unaffected by differences in frequency or severity

Discussion 0
Question # 44

Which of the following statements are true in relation to Principal Component Analysis (PCA) as applied to a system of term structures?

I. The factor weights on the first principal component will show whether there is common trend in the system

II. The factors to be applied to principal components are obtained from eigenvectors of the correlation matrix

III. PCA is a standard method for reducing dimensionality in data when considering a large number of correlated variables

IV. The smallest absolute eigenvalues and their associated eigenvectors are the most useful for explaining most of the variation

Options:

A.  

I and IV

B.  

I, II and III

C.  

I and III

D.  

II and IV

Discussion 0
Question # 45

A bank expects the error rate in transaction data entry for a particular business process to be 0.005%. What is the range of expected errors in a day within +/- 2 standard deviations if there are 2,000,000 such transactions each day?

Options:

A.  

80 to 120 errors in a day

B.  

60 to 80 errors in a day

C.  

0 to 200 errors in a day

D.  

90 to 110 errors in a day

Discussion 0
Question # 46

Which of the following statements is the most appropriate description of feedback effects:

Options:

A.  

The amplification of smaller initial shocks to one risk factor creating larger subsequent shocks through system-wide interactions between other risks, creating self-perpetuating downward stresses in the markets

B.  

The lack of a comprehensive view of risk across credit, market and liquidity risks leading to an underestimation of correlations that tend to spike up in the event of a crisis

C.  

The spread of contagion from the bankruptcy of one participant leading to a similar outcome for other market participants

D.  

The revision of stress testing scenarios based upon management, business unit and regulatory feedback on the plausibility or otherwise of stress scenarios.

Discussion 0
Question # 47

If a borrower has a default probability of 12% over one year, what is the probability of default over a month?

Options:

A.  

12.00%

B.  

1.00%

C.  

2.00%

D.  

1.06%

Discussion 0
Question # 48

For a corporate bond, which of the following statements is true:

I. The credit spread is equal to the default rate times the recovery rate

II. The spread widens when the ratings of the corporate experience an upgrade

III. Both recovery rates and probabilities of default are related to the business cycle and move in opposite directions to each other

IV. Corporate bond spreads are affected by both the risk of default and the liquidity of the particular issue

Options:

A.  

I, II and IV

B.  

III and IV

C.  

III only

D.  

IV only

Discussion 0
Question # 49

Which of the following are considered counterparty based credit enhancements?

I. Collateral

II. Credit default swaps

III. Close out netting arrangements

IV. Guarantees

Options:

A.  

I and III

B.  

II and IV

C.  

I, II and IV

D.  

I and IV

Discussion 0
Question # 50

Who has the ultimate responsibility for the overall stress testing programme of an institution?

Options:

A.  

Business Unit leaders

B.  

The Risk Committee

C.  

The Board

D.  

Senior Management

Discussion 0
Question # 51

The definition of operational risk per Basel II includes which of the following:

I. Risk of loss resulting from inadequate or failed internal processes, people and systems or from external events

II. Legal risk

III. Strategic risk

IV. Reputational risk

Options:

A.  

I, II, III and IV

B.  

II and III

C.  

I and III

D.  

I and II

Discussion 0
Question # 52

Which of the following are measures of liquidity risk

I. Liquidity Coverage Ratio

II. Net Stable Funding Ratio

III. Book Value to Share Price

IV. Earnings Per Share

Options:

A.  

III and IV

B.  

I and II

C.  

II and III

D.  

I and IV

Discussion 0
Question # 53

Which of the following are valid objectives of a reverse stress test:

I. Ensure that a firm can survive for long enough after risks have materialized for it to either regain market confidence, restructure or be sold, or be closed down in an orderly manner,

II. Discover the vulnerabilities of the current business plan,

III. Better integrate business and capital planning,

IV. Create a 'zero-failure' environment at the systemic level in the financial sector

Options:

A.  

I and IV

B.  

I, II and III

C.  

II and III

D.  

All of the above

Discussion 0
Question # 54

What is the combined VaR of two securities that are perfectly positively correlated.

Options:

A.  

The difference of the two VaRs.

B.  

The sum of the individual VaRs of the two securities.

C.  

The root of the sum of squares of the individual VaRs of the two securities.

D.  

Combined VaR cannot be derived using the available information.

Discussion 0
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