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FRM: Foundations Of Risk Management
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Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Morningstar Rating System
Formula for covariance
RAR = relative return of portfolio (RRp)
Risk Management Irrelevance Proposition
2. Multibeta CAPM Ri - Rf =
Asset liquidity risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Barings
Risk Management Irrelevance Proposition
3. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Information ratio
Models used in ERM framework
Importance of communication for risk managers
Asset liquidity risk
4. Covariance = correlation coefficient std dev(a) std dev(b)
Solvency-related metrics
Formula for covariance
Settlement risk
Market risk
5. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Forms of Market risk
Risks excluded from operational risk
Information ratio
Security (primary vs secondary)
6. The need to hedge against risks - for firms need to speculate.
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Operational risk
What lead to the exponential growth to derivatives mkt?
Practical considerations related to ERM implementatio
7. Expected value of unfavorable deviations of a random variable from a specified target level
BTR - Below Target Risk
Morningstar Rating System
Market risk
Risk
8. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Asset liquidity risk
Effect of non- price- taking behavior on CAPM
Solve for minimum variance portfolio
Market imperfections that can create value
9. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Basis risk
Differences in financial risk management for financial companies vs industrial companies
Parametric VaR
Ri = ai + bi1l1 + bi2l2....+ei
10. When two payments are exchanged the same day and one party may default after payment is made
Tracking error
Parametric VaR
Models used in ERM framework
Settlement risk
11. Probability that a random variable falls below a specified threshold level
Shortfall risk
Efficient frontier
Recovery rate
Carry- backs and carry- forwards
12. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Standard deviation of two assets
Business risks
Derivative contract
13. Return is linearly related to growth rate in consumption
CAPM assumption for EMH
Liquidity risk
Multi- period version of CAPM
Zero- beta CAPM (two factor model)
14. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Source of need for risk management
Ri = Rz + (gamma)(beta)
Nonmarketable asset impact on CAPM
Tax shield
15. Losses due to market activities ex. Interest rate changes or defaults
Effect of heterogeneous expectations on CAPM
Tax shield
Financial risks
Settlement risk
16. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Information ratio
Market imperfections that can create value
Treynor measure
Basic Market risk
17. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Ri = ai + bi1l1 + bi2l2....+ei
EPD or ECOR - Expected Policyholder Deficit (EPD)
Effect of non- price- taking behavior on CAPM
Market imperfections that can create value
18. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Formula for covariance
Recovery rate
Allied Irish Bank
Practical considerations related to ERM implementatio
19. Probability distribution is unknown (ex. A terrorist attack)
Information ratio
Barings
EPD or ECOR - Expected Policyholder Deficit (EPD)
Uncertainty
20. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Shortcomings of risk metrics
Four major types of risk
Financial risks
Credit event
21. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
3 main types of operational risk
Ways risk can be mismeasured
Solvency-related metrics
Basic Market risk
22. The uses of debt to fall into a lower tax rate
Tax shield
CAPM (formula)
Solvency-related metrics
Financial risks
23. Interest rate movements - derivatives - defaults
Drysdale Securities (Chase Manhattan)
Financial Risk
Recovery rate
Liquidity risk
24. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Where is risk coming from
APT for passive portfolio management
Prices of risk vs sensitivity
25. Both probability and cost of tail events are considered
VaR- based analysis (formula)
Ri = ai + bi1l1 + bi2l2....+ei
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Operational risk
26. Risk of loses owing to movements in level or volatility of market prices
Source of need for risk management
Market risk
Roles of risk management
EPD or ECOR - Expected Policyholder Deficit (EPD)
27. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Contango
Debt overhang
Efficient frontier
Differences in financial risk management for financial companies vs industrial companies
28. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Settlement risk
VaR- based analysis (formula)
Contango
Capital market line (CML)
29. Relative portfolio risk (RRiskp) - Based on a one- month investment period
What lead to the exponential growth to derivatives mkt?
Zero- beta CAPM (two factor model)
APT (equation and assumptions)
RAR = relative return of portfolio (RRp)
30. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Contango
Expected return of two assets
Basis
Standard deviation of two assets
31. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Traits of ERM
Firms becoming more sensitive to changes(bank deregulation)
Liquidity risk
Shortfall risk
32. Rp = XaRa + XbRb
Shortcomings of risk metrics
Expected return of two assets
Business Risk
Risk Management Irrelevance Proposition
33. Changes in vol - implied or actual
Volatility Market risk
Basic Market risk
What lead to the exponential growth to derivatives mkt?
Risk Management Irrelevance Proposition
34. CAPM requires the strong form of the Efficient Market Hypothesis = private information
RAR = relative return of portfolio (RRp)
CAPM assumption for EMH
Options motivation on volatility
Operational risk
35. 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
Ten assumptions underlying CAPM
APT for passive portfolio management
Roles of risk management
Sharpe measure
36. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Practical considerations related to ERM implementatio
CAPM (formula)
Sortino ratio
Correlation coefficient effect on diversification
37. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Security (primary vs secondary)
Sortino ratio
APT in active portfolio management
Debt overhang
38. Asset-liability/market-liquidity risk
Correlation coefficient effect on diversification
Liquidity risk
Settlement risk
Basis
39. Modeling approach is typically between statistical analytic models and structural simulation models
Settlement risk
Ri = Rz + (gamma)(beta)
Models used in ERM framework
Asset liquidity risk
40. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Performance- related metrics
APT in active portfolio management
Nonmarketable asset impact on CAPM
Security (primary vs secondary)
41. Curve must be concave - Straight line connecting any two points must be under the curve
Firms becoming more sensitive to changes(bank deregulation)
Three main reasons for financial disasters
Shape of portfolio possibilities curve
Ri = Rz + (gamma)(beta)
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
Tracking error
Sovereign risk
Operational risk
Ten assumptions underlying CAPM
43. Potential amount that can be lost
Prices of risk vs sensitivity
EPD or ECOR - Expected Policyholder Deficit (EPD)
Exposure
Zero- beta CAPM (two factor model)
44. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
3 main types of operational risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Standard deviation of two assets
Recovery rate
45. 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
Jensen's alpha
Debt overhang
EPD or ECOR - Expected Policyholder Deficit (EPD)
46. Quantile of a statistical distribution
Drysdale Securities (Chase Manhattan)
Parametric VaR
Traits of ERM
Performance- related metrics
47. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
LTCM
Basic Market risk
Debt overhang
48. Inability to make payment obligations (ex. Margin calls)
Risk
Funding liquidity risk
Correlation coefficient effect on diversification
Parametric VaR
49. Unanticipated movements in relative prices of assets in hedged position
Where is risk coming from
Multi- period version of CAPM
Basic Market risk
Options motivation on volatility
50. 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
Differences in financial risk management for financial companies vs industrial companies
Operational risk
Allied Irish Bank
Ways firms can fail to account for risks
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