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Test your basic knowledge |
FRM: Foundations Of Risk Management
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business-skills
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certifications
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frm
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
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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. The uses of debt to fall into a lower tax rate
Tax shield
Valuation vs. Risk management
LTCM
Risks excluded from operational risk
2. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Volatility Market risk
Market imperfections that can create value
Ri = ai + bi1l1 + bi2l2....+ei
Drysdale Securities (Chase Manhattan)
3. Strategic risk - Business risk - Reputational risk
Risks excluded from operational risk
Prices of risk vs sensitivity
Importance of communication for risk managers
Tracking error
4. Track an index with a portfolio that excludes certain stocks - Track an index that must include certain stocks - To closely track an index while tailoring the risk exposure
APT for passive portfolio management
Risk
Zero- beta CAPM (two factor model)
Funding liquidity risk
5. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Shortcomings of risk metrics
3 main types of operational risk
Treynor measure
Uncertainty
6. Derives value from an underlying asset - rate - or index - Derives value from a security
Derivative contract
Valuation vs. Risk management
Market risk
Source of need for risk management
7. Law of one price - Homogeneous expectations - Security returns process
Carry- backs and carry- forwards
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
APT (equation and assumptions)
Sovereign risk
8. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Barings
Ways firms can fail to account for risks
Source of need for risk management
Treynor measure
9. When two payments are exchanged the same day and one party may default after payment is made
Ways risk can be mismeasured
Risk Management Irrelevance Proposition
Settlement risk
Jensen's alpha
10. Interest rate movements - derivatives - defaults
CAPM assumption for EMH
Financial Risk
BTR - Below Target Risk
Banker's Trust
11. 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
Debt overhang
What lead to the exponential growth to derivatives mkt?
Drysdale Securities (Chase Manhattan)
Firms becoming more sensitive to changes(bank deregulation)
12. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Carry- backs and carry- forwards
Debt overhang
EPD or ECOR - Expected Policyholder Deficit (EPD)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
13. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Parametric VaR
Ri = ai + bi1l1 + bi2l2....+ei
Asset transformers
Effect of heterogeneous expectations on CAPM
14. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Risk Management Irrelevance Proposition
CAPM (formula)
Nonparametric VaR
Traits of ERM
15. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Basis risk
Tracking error
Roles of risk management
16. Potential amount that can be lost
Exposure
Nonparametric VaR
Forms of Market risk
Tax shield
17. Returns on any stock are linearly related to a set of indexes
Ways firms can fail to account for risks
Ri = ai + bi1l1 + bi2l2....+ei
APT in active portfolio management
Tax shield
18. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Effect of non- price- taking behavior on CAPM
Banker's Trust
APT (equation and assumptions)
Nonmarketable asset impact on CAPM
19. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Security (primary vs secondary)
VaR- based analysis (formula)
Funding liquidity risk
Parametric VaR
20. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Practical considerations related to ERM implementatio
Information ratio
Asset liquidity risk
Effect of heterogeneous expectations on CAPM
21. Curve must be concave - Straight line connecting any two points must be under the curve
Shape of portfolio possibilities curve
Shortfall risk
Forms of Market risk
Tracking error
22. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Operational risk
Ten assumptions underlying CAPM
Drysdale Securities (Chase Manhattan)
Treynor measure
23. 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
Traits of ERM
Ri = Rz + (gamma)(beta)
Practical considerations related to ERM implementatio
Exposure
24. Losses due to market activities ex. Interest rate changes or defaults
Ten assumptions underlying CAPM
Expected return of two assets
Financial risks
Asset transformers
25. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Multi- period version of CAPM
Market risk
Debt overhang
Tracking error
26. 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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27. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Effect of non- price- taking behavior on CAPM
Settlement risk
RAR = relative return of portfolio (RRp)
Financial risks
28. Modeling approach is typically between statistical analytic models and structural simulation models
Parametric VaR
Models used in ERM framework
Basis
Risks excluded from operational risk
29. 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
LTCM
Multi- period version of CAPM
APT (equation and assumptions)
CAPM with taxes included (equation)
30. 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
Business Risk
Risk- adjusted performance measure (RAP)
Business risks
Traits of ERM
31. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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32. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
APT (equation and assumptions)
Four major types of risk
Recovery rate
Solvency-related metrics
33. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Jensen's alpha
Risk
Operational risk
Settlement risk
34. Wrong distribution - Historical sample may not apply
Tracking error
Ways risk can be mismeasured
Practical considerations related to ERM implementatio
Kidder Peabody
35. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Sortino ratio
Ri = Rz + (gamma)(beta)
Recovery rate
BTR - Below Target Risk
36. Probability that a random variable falls below a specified threshold level
Risk- adjusted performance measure (RAP)
VaR- based analysis (formula)
Shortfall risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
37. Quantile of an empirical distribution
Zero- beta CAPM (two factor model)
Nonparametric VaR
Efficient frontier
Risk- adjusted performance measure (RAP)
38. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Allied Irish Bank
Importance of communication for risk managers
Capital market line (CML)
Solve for minimum variance portfolio
39. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Business Risk
Recovery rate
Zero- beta CAPM (two factor model)
Volatility Market risk
40. 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
Probability of ruin
Derivative contract
Tracking error
Models used in ERM framework
41. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Forms of Market risk
3 main types of operational risk
Debt overhang
APT in active portfolio management
42. Firm may ignore known risk - Somebody in firm may know about risk - but it's not captured by models - Realization of a truly unknown risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Risk
Ways firms can fail to account for risks
Effect of heterogeneous expectations on CAPM
43. Both probability and cost of tail events are considered
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Differences in financial risk management for financial companies vs industrial companies
Basis
Funding liquidity risk
44. Absolute and relative risk - direction and non-directional
Forms of Market risk
CAPM with taxes included (equation)
Sovereign risk
Tax shield
45. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Traits of ERM
Options motivation on volatility
Differences in financial risk management for financial companies vs industrial companies
Financial Risk
46. Asses firm risks - Communicate risks - Manage and monitor risks
Ways firms can fail to account for risks
Source of need for risk management
Roles of risk management
Sharpe measure
47. May not scale over time- Historical data may be meaningless - Not designed to account for catastrophes - VaR says nothing about losses in excess of VaR - May not handle sudden illiquidity
Exposure
Recovery rate
Shortcomings of risk metrics
Ten assumptions underlying CAPM
48. Covariance = correlation coefficient std dev(a) std dev(b)
Four major types of risk
Formula for covariance
EPD or ECOR - Expected Policyholder Deficit (EPD)
Valuation vs. Risk management
49. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Sovereign risk
Ri = ai + bi1l1 + bi2l2....+ei
Valuation vs. Risk management
Efficient frontier
50. Return is linearly related to growth rate in consumption
CAPM (formula)
Multi- period version of CAPM
Derivative contract
Standard deviation of two assets