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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. 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
LTCM
Performance- related metrics
Sortino ratio
2. Future price is greater than the spot price
Security (primary vs secondary)
Financial Risk
Banker's Trust
Contango
3. Absolute and relative risk - direction and non-directional
Sharpe measure
Forms of Market risk
Nonparametric VaR
Firms becoming more sensitive to changes(bank deregulation)
4. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Settlement risk
Credit event
Performance- related metrics
Solve for minimum variance portfolio
5. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Operational risk
Debt overhang
Differences in financial risk management for financial companies vs industrial companies
Options motivation on volatility
6. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Shortcomings of risk metrics
EPD or ECOR - Expected Policyholder Deficit (EPD)
CAPM (formula)
Uncertainty
7. Cannot exit position in market due to size of the position
Asset liquidity risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Drysdale Securities (Chase Manhattan)
Credit event
8. Modeling approach is typically between statistical analytic models and structural simulation models
Allied Irish Bank
Risk types addressed by ERM
Models used in ERM framework
Where is risk coming from
9. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
EPD or ECOR - Expected Policyholder Deficit (EPD)
Nonparametric VaR
Liquidity risk
Zero- beta CAPM (two factor model)
10. Probability that a random variable falls below a specified threshold level
Ten assumptions underlying CAPM
Business Risk
Shortfall risk
Financial risks
11. Both probability and cost of tail events are considered
Four major types of risk
APT for passive portfolio management
Ri = Rz + (gamma)(beta)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
12. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Practical considerations related to ERM implementatio
Traits of ERM
Four major types of risk
VaR - Value at Risk
13. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Nonparametric VaR
Sharpe measure
APT (equation and assumptions)
Three main reasons for financial disasters
14. 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
EPD or ECOR - Expected Policyholder Deficit (EPD)
Solve for minimum variance portfolio
Parametric VaR
15. The lower (closer to - 1) - the higher the payoff from diversification
Correlation coefficient effect on diversification
Information ratio
Multi- period version of CAPM
Capital market line (CML)
16. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Barings
Jensen's alpha
Firms becoming more sensitive to changes(bank deregulation)
Basis
17. 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
Three main reasons for financial disasters
Drysdale Securities (Chase Manhattan)
Prices of risk vs sensitivity
18. Hazard - Financial - Operational - Strategic
Roles of risk management
Multi- period version of CAPM
Risk types addressed by ERM
Financial Risk
19. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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20. Risk of loses owing to movements in level or volatility of market prices
Shape of portfolio possibilities curve
Market risk
Settlement risk
LTCM
21. Derives value from an underlying asset - rate - or index - Derives value from a security
Expected return of two assets
Derivative contract
Credit event
Prices of risk vs sensitivity
22. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
VaR- based analysis (formula)
Parametric VaR
Liquidity risk
Tracking error
23. Asset-liability/market-liquidity risk
Roles of risk management
Expected return of two assets
Liquidity risk
Forms of Market risk
24. Occurs the day when two parties exchange payments same day
Parametric VaR
Uncertainty
Settlement risk
Jensen's alpha
25. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Effect of heterogeneous expectations on CAPM
Liquidity risk
Nonmarketable asset impact on CAPM
APT in active portfolio management
26. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Derivative contract
Effect of non- price- taking behavior on CAPM
Ri = ai + bi1l1 + bi2l2....+ei
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
27. 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
Importance of communication for risk managers
Risks excluded from operational risk
VaR- based analysis (formula)
28. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
APT for passive portfolio management
VaR - Value at Risk
APT in active portfolio management
Sortino ratio
29. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Sortino ratio
Exposure
Treynor measure
Expected return of two assets
30. The need to hedge against risks - for firms need to speculate.
Practical considerations related to ERM implementatio
What lead to the exponential growth to derivatives mkt?
CAPM assumption for EMH
Uncertainty
31. 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
Risks excluded from operational risk
Debt overhang
Shortcomings of risk metrics
Barings
32. Multibeta CAPM Ri - Rf =
Source of need for risk management
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Security (primary vs secondary)
Risk
33. 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
Derivative contract
Risk
Practical considerations related to ERM implementatio
VaR - Value at Risk
34. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Recovery rate
Nonmarketable asset impact on CAPM
Financial Risk
Business risks
35. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Correlation coefficient effect on diversification
Morningstar Rating System
Multi- period version of CAPM
Tracking error
36. The uses of debt to fall into a lower tax rate
Forms of Market risk
Tax shield
Nonmarketable asset impact on CAPM
Nonparametric VaR
37. 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
Sharpe measure
Ways firms can fail to account for risks
Expected return of two assets
Sovereign risk
38. Return is linearly related to growth rate in consumption
Correlation coefficient effect on diversification
Asset transformers
Funding liquidity risk
Multi- period version of CAPM
39. 1971: Fixed Exchange rate system broke down and was replaced by more volatile floating rate - 1973: Oil price shocks - - >high inflation - - >interest rate swings - 1987: Black Monday - OCt 19 - mkt fell 23% - 1989: Japanese stock price bubble -
Correlation coefficient effect on diversification
Morningstar Rating System
Ri = ai + bi1l1 + bi2l2....+ei
Source of need for risk management
40. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Formula for covariance
Ways risk can be mismeasured
Traits of ERM
Risk
41. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Operational risk
Tracking error
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
42. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Carry- backs and carry- forwards
Market imperfections that can create value
Settlement risk
LTCM
43. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
Allied Irish Bank
Liquidity risk
Shortfall risk
44. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Efficient frontier
RAR = relative return of portfolio (RRp)
Firms becoming more sensitive to changes(bank deregulation)
Information ratio
45. RM cannot increase firm value when it costs the same to bear a risk w/in the firm or outside the firm - For RM to increase firm value it must be more expensive to bear risks internally than to pay capital markets to bear them.
Shortcomings of risk metrics
Exposure
Risk Management Irrelevance Proposition
Risk
46. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Contango
Barings
Sharpe measure
Debt overhang
47. Inability to make payment obligations (ex. Margin calls)
Recovery rate
Funding liquidity risk
BTR - Below Target Risk
Carry- backs and carry- forwards
48. Curve must be concave - Straight line connecting any two points must be under the curve
Shape of portfolio possibilities curve
Nonparametric VaR
Shortcomings of risk metrics
Debt overhang
49. Expected value of unfavorable deviations of a random variable from a specified target level
BTR - Below Target Risk
Solvency-related metrics
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Three main reasons for financial disasters
50. 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
Traits of ERM
Business risks
Uncertainty
Shortfall risk
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