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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. 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
Differences in financial risk management for financial companies vs industrial companies
Effect of non- price- taking behavior on CAPM
Security (primary vs secondary)
LTCM
2. 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
Jensen's alpha
Valuation vs. Risk management
Drysdale Securities (Chase Manhattan)
CAPM with taxes included (equation)
3. Return is linearly related to growth rate in consumption
Roles of risk management
Risk types addressed by ERM
Tax shield
Multi- period version of CAPM
4. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Ten assumptions underlying CAPM
Morningstar Rating System
Treynor measure
Sovereign risk
5. Occurs the day when two parties exchange payments same day
Nonmarketable asset impact on CAPM
Parametric VaR
Ten assumptions underlying CAPM
Settlement risk
6. When negative taxable income is moved to a different year to offset future or past taxable income
Risks excluded from operational risk
Performance- related metrics
Efficient frontier
Carry- backs and carry- forwards
7. Asset-liability/market-liquidity risk
Effect of non- price- taking behavior on CAPM
Treynor measure
CAPM with taxes included (equation)
Liquidity risk
8. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
APT (equation and assumptions)
APT in active portfolio management
Source of need for risk management
Multi- period version of CAPM
9. 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
Asset transformers
Traits of ERM
Risk- adjusted performance measure (RAP)
Risk
10. Rp = XaRa + XbRb
Banker's Trust
Expected return of two assets
APT for passive portfolio management
Treynor measure
11. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Expected return of two assets
Operational risk
Three main reasons for financial disasters
Kidder Peabody
12. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Forms of Market risk
Importance of communication for risk managers
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
13. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Performance- related metrics
Risk types addressed by ERM
Asset transformers
Treynor measure
14. Probability distribution is unknown (ex. A terrorist attack)
Uncertainty
Differences in financial risk management for financial companies vs industrial companies
CAPM (formula)
Barings
15. Joseph Jett exploited an accounting glitch to book 350 million of false profits (government bonds) - Massive misreporting resulted in loss of confidence in management - Failed to take into account the present value of a forward - Learn to investigate
APT for passive portfolio management
Three main reasons for financial disasters
Kidder Peabody
Uncertainty
16. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Multi- period version of CAPM
Tracking error
Basis risk
Market imperfections that can create value
17. 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
Ri = Rz + (gamma)(beta)
Sovereign risk
Financial Risk
Probability of ruin
18. Quantile of a statistical distribution
Shortfall risk
Sortino ratio
Correlation coefficient effect on diversification
Parametric VaR
19. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
Financial Risk
Funding liquidity risk
LTCM
20. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Options motivation on volatility
VaR - Value at Risk
Treynor measure
Information ratio
21. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Nonparametric VaR
Sortino ratio
Ri = Rz + (gamma)(beta)
Financial risks
22. Capital structure (financial distress) - Taxes - Agency and information asymmetries
BTR - Below Target Risk
Operational risk
Options motivation on volatility
Market imperfections that can create value
23. Modeling approach is typically between statistical analytic models and structural simulation models
Firms becoming more sensitive to changes(bank deregulation)
Models used in ERM framework
Volatility Market risk
Drysdale Securities (Chase Manhattan)
24. When two payments are exchanged the same day and one party may default after payment is made
Basis risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Settlement risk
Allied Irish Bank
25. Law of one price - Homogeneous expectations - Security returns process
Risk Management Irrelevance Proposition
APT (equation and assumptions)
Risks excluded from operational risk
3 main types of operational risk
26. Volatility of unexpected outcomes
Barings
Risk
Business risks
Ten assumptions underlying CAPM
27. Prices of risk are common factors and do not change - Sensitivities can change
Ten assumptions underlying CAPM
Prices of risk vs sensitivity
Traits of ERM
3 main types of operational risk
28. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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29. Asses firm risks - Communicate risks - Manage and monitor risks
Ways risk can be mismeasured
Roles of risk management
Ri = ai + bi1l1 + bi2l2....+ei
LTCM
30. Those which corporations assume whillingly to create competitive advantage/add shareholder value - Business Decisions: investment decisions - prod - dev choices - marketing strategies - organizational struct. - Business Environment: competitive and
Business Risk
Carry- backs and carry- forwards
Effect of non- price- taking behavior on CAPM
Correlation coefficient effect on diversification
31. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Options motivation on volatility
EPD or ECOR - Expected Policyholder Deficit (EPD)
Importance of communication for risk managers
Shape of portfolio possibilities curve
32. The need to hedge against risks - for firms need to speculate.
Tax shield
VaR- based analysis (formula)
What lead to the exponential growth to derivatives mkt?
Credit event
33. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Risk- adjusted performance measure (RAP)
Market risk
RAR = relative return of portfolio (RRp)
Banker's Trust
34. Strategic risk - Business risk - Reputational risk
Risks excluded from operational risk
LTCM
Asset transformers
3 main types of operational risk
35. Changes in vol - implied or actual
Volatility Market risk
Performance- related metrics
Liquidity risk
Risks excluded from operational risk
36. 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
Importance of communication for risk managers
Volatility Market risk
Nonmarketable asset impact on CAPM
Ways firms can fail to account for risks
37. 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
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Prices of risk vs sensitivity
Practical considerations related to ERM implementatio
Shortcomings of risk metrics
38. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Barings
What lead to the exponential growth to derivatives mkt?
APT in active portfolio management
Sharpe measure
39. Curve must be concave - Straight line connecting any two points must be under the curve
Shape of portfolio possibilities curve
Debt overhang
Three main reasons for financial disasters
Sortino ratio
40. 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
Source of need for risk management
Credit event
APT for passive portfolio management
Roles of risk management
41. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
VaR - Value at Risk
Market imperfections that can create value
Security (primary vs secondary)
Effect of heterogeneous expectations on CAPM
42. No transaction costs - assets infinitely divisible - no personal tax - perfect competition - investors only care about mean and variance - short- selling allowed - unlimited lending and borrowing - homogeneity: single period - homogeneity: same mean
Ten assumptions underlying CAPM
Nonparametric VaR
Barings
CAPM assumption for EMH
43. 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
Recovery rate
Practical considerations related to ERM implementatio
Allied Irish Bank
Multi- period version of CAPM
44. Wrong distribution - Historical sample may not apply
Ways risk can be mismeasured
Market risk
Shape of portfolio possibilities curve
Morningstar Rating System
45. Market risk - Liquidity risk - Credit risk - Operational risk
Sovereign risk
Four major types of risk
Firms becoming more sensitive to changes(bank deregulation)
Exposure
46. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Prices of risk vs sensitivity
Funding liquidity risk
Effect of heterogeneous expectations on CAPM
Risk Management Irrelevance Proposition
47. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Security (primary vs secondary)
Operational risk
Tracking error
RAR = relative return of portfolio (RRp)
48. Cannot exit position in market due to size of the position
Jensen's alpha
Probability of ruin
Asset liquidity risk
Security (primary vs secondary)
49. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Solve for minimum variance portfolio
Multi- period version of CAPM
Practical considerations related to ERM implementatio
Basis risk
50. Need to assess risk and tell management so they can determine which risks to take on
Importance of communication for risk managers
Information ratio
Nonparametric VaR
Morningstar Rating System
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