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Test your basic knowledge |
FRM: Foundations Of Risk Management
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Instructions:
Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Allied Irish Bank
Risk- adjusted performance measure (RAP)
Expected return of two assets
CAPM (formula)
2. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Tracking error
Basic Market risk
Basis
Correlation coefficient effect on diversification
3. Quantile of an empirical distribution
Where is risk coming from
Allied Irish Bank
Nonparametric VaR
Derivative contract
4. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Banker's Trust
Three main reasons for financial disasters
Zero- beta CAPM (two factor model)
APT for passive portfolio management
5. Both probability and cost of tail events are considered
Ri = ai + bi1l1 + bi2l2....+ei
Traits of ERM
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Roles of risk management
6. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Business risks
LTCM
Firms becoming more sensitive to changes(bank deregulation)
VaR - Value at Risk
7. Strategic risk - Business risk - Reputational risk
Risks excluded from operational risk
Information ratio
Jensen's alpha
Three main reasons for financial disasters
8. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Business risks
Asset transformers
Volatility Market risk
CAPM assumption for EMH
9. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Effect of heterogeneous expectations on CAPM
Importance of communication for risk managers
Zero- beta CAPM (two factor model)
Credit event
10. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Kidder Peabody
Source of need for risk management
Effect of non- price- taking behavior on CAPM
APT in active portfolio management
11. Long Term Capital Management - Renowned quants produced great returns with arbitrage- type trades - Unexpected and extreme events resulted in devaluation of Russian Rouble - resulting in a 3.65 billion dollar bailout - Failure to account for illiquid
Solve for minimum variance portfolio
Ri = Rz + (gamma)(beta)
LTCM
Risk- adjusted performance measure (RAP)
12. The uses of debt to fall into a lower tax rate
Prices of risk vs sensitivity
Tax shield
Shortcomings of risk metrics
EPD or ECOR - Expected Policyholder Deficit (EPD)
13. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Credit event
Operational risk
Jensen's alpha
Liquidity risk
14. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Tax shield
Volatility Market risk
Effect of heterogeneous expectations on CAPM
Asset transformers
15. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Standard deviation of two assets
Sortino ratio
Firms becoming more sensitive to changes(bank deregulation)
Business Risk
16. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Risk types addressed by ERM
Firms becoming more sensitive to changes(bank deregulation)
Ri = ai + bi1l1 + bi2l2....+ei
CAPM (formula)
17. Quantile of a statistical distribution
Market risk
CAPM with taxes included (equation)
Business risks
Parametric VaR
18. Sold complex derivatives to Proctor & Gamble and Gibson - Were sued due to claims that they deceived buyers - Need for better controls for matching complexity of trade with client sophistication - Need for price quotes independent of front office Met
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19. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Solvency-related metrics
Source of need for risk management
Differences in financial risk management for financial companies vs industrial companies
Funding liquidity risk
20. The lower (closer to - 1) - the higher the payoff from diversification
Correlation coefficient effect on diversification
Operational risk
Source of need for risk management
Valuation vs. Risk management
21. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
APT (equation and assumptions)
Risk
CAPM with taxes included (equation)
Practical considerations related to ERM implementatio
22. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Asset liquidity risk
Drysdale Securities (Chase Manhattan)
Tracking error
Settlement risk
23. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Expected return of two assets
CAPM (formula)
Debt overhang
Importance of communication for risk managers
24. Designate ERM champion - usually CRO - Make ERM part of firm culture - Determining all possible risks - Quantifying operational and strategic risks - Integrating risks (dependencies) - Lack of risk transfer mechanisms - Monitoring
Tax shield
Models used in ERM framework
Volatility Market risk
Practical considerations related to ERM implementatio
25. Multibeta CAPM Ri - Rf =
Banker's Trust
Probability of ruin
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Shortfall risk
26. Percentile of the distribution corresponding to the point which capital is exhausted - Typically - a minimum acceptable probability of ruin is specified - and economic capital is derived from it
Shape of portfolio possibilities curve
Risk
Probability of ruin
Valuation vs. Risk management
27. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Ways risk can be mismeasured
Risk
Efficient frontier
Treynor measure
28. Obtained unsecured borrowing of 300 million by exploiting flaw in computing US government bond collateral - Had only 20 million in capital - Chase absorbed losses since they brokered deal - Called for better process control and more precise methods f
Risks excluded from operational risk
Multi- period version of CAPM
Tax shield
Drysdale Securities (Chase Manhattan)
29. Changes in vol - implied or actual
Volatility Market risk
Asset liquidity risk
Shortcomings of risk metrics
Ri = ai + bi1l1 + bi2l2....+ei
30. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
VaR- based analysis (formula)
Effect of non- price- taking behavior on CAPM
Performance- related metrics
Business risks
31. Modeling approach is typically between statistical analytic models and structural simulation models
RAR = relative return of portfolio (RRp)
Ways firms can fail to account for risks
Risk
Models used in ERM framework
32. Rp = XaRa + XbRb
Where is risk coming from
Drysdale Securities (Chase Manhattan)
Expected return of two assets
Firms becoming more sensitive to changes(bank deregulation)
33. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Three main reasons for financial disasters
Roles of risk management
Risk
Credit event
34. Future price is greater than the spot price
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Ri = ai + bi1l1 + bi2l2....+ei
Contango
Settlement risk
35. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Information ratio
Risks excluded from operational risk
LTCM
Business Risk
36. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Risk
Differences in financial risk management for financial companies vs industrial companies
Nonmarketable asset impact on CAPM
Market imperfections that can create value
37. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Solvency-related metrics
Effect of heterogeneous expectations on CAPM
Recovery rate
Shortfall risk
38. Efficient frontier with inclusion of risk free rate - Straight line with formula Rc = Rf + ((Ra - Rf)/std dev(a))*std dev(c) - c is the total portfolio - a is the risky asset
Capital market line (CML)
Uncertainty
Exposure
Ten assumptions underlying CAPM
39. Probability that a random variable falls below a specified threshold level
VaR- based analysis (formula)
Derivative contract
Practical considerations related to ERM implementatio
Shortfall risk
40. Enterprise Risk Management - ERM is a discipline - culture of enterprise - ERM applies to all industries - ERM is not just defensive - adds value - ERM encompasses all risks - ERM addresses all stakeholders
Risk- adjusted performance measure (RAP)
Traits of ERM
Nonmarketable asset impact on CAPM
Firms becoming more sensitive to changes(bank deregulation)
41. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Kidder Peabody
Uncertainty
Debt overhang
Tail VaR or TCE - Tail Conditional Expectation(TCE)
42. Potential amount that can be lost
Correlation coefficient effect on diversification
Risk Management Irrelevance Proposition
Exposure
Financial risks
43. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Basis
Sortino ratio
Barings
44. Covariance = correlation coefficient std dev(a) std dev(b)
CAPM assumption for EMH
Performance- related metrics
Options motivation on volatility
Formula for covariance
45. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
3 main types of operational risk
Treynor measure
CAPM (formula)
Morningstar Rating System
46. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
VaR- based analysis (formula)
Effect of non- price- taking behavior on CAPM
Credit event
Solve for minimum variance portfolio
47. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Funding liquidity risk
3 main types of operational risk
Carry- backs and carry- forwards
Ways risk can be mismeasured
48. Asset-liability/market-liquidity risk
Risk Management Irrelevance Proposition
Liquidity risk
APT for passive portfolio management
Risk
49. Return is linearly related to growth rate in consumption
Barings
Asset transformers
Multi- period version of CAPM
VaR - Value at Risk
50. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Solvency-related metrics
Formula for covariance
Security (primary vs secondary)