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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. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Risk
Where is risk coming from
Drysdale Securities (Chase Manhattan)
Correlation coefficient effect on diversification
2. 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.
Ways risk can be mismeasured
Differences in financial risk management for financial companies vs industrial companies
Risk Management Irrelevance Proposition
Roles of risk management
3. 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
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Sortino ratio
Probability of ruin
Basic Market risk
4. Potential amount that can be lost
Risks excluded from operational risk
Ri = ai + bi1l1 + bi2l2....+ei
Exposure
Recovery rate
5. Both probability and cost of tail events are considered
VaR- based analysis (formula)
Drysdale Securities (Chase Manhattan)
Prices of risk vs sensitivity
Tail VaR or TCE - Tail Conditional Expectation(TCE)
6. 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
Practical considerations related to ERM implementatio
Nonparametric VaR
Settlement risk
Debt overhang
7. Curve must be concave - Straight line connecting any two points must be under the curve
Traits of ERM
Banker's Trust
Forms of Market risk
Shape of portfolio possibilities curve
8. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Probability of ruin
Business risks
Solve for minimum variance portfolio
Risk types addressed by ERM
9. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Correlation coefficient effect on diversification
Market imperfections that can create value
Carry- backs and carry- forwards
Recovery rate
10. Changes in vol - implied or actual
Sovereign risk
Ten assumptions underlying CAPM
Volatility Market risk
Probability of ruin
11. 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
APT for passive portfolio management
Standard deviation of two assets
Where is risk coming from
Ten assumptions underlying CAPM
12. Quantile of a statistical distribution
Formula for covariance
Source of need for risk management
Parametric VaR
Tax shield
13. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Differences in financial risk management for financial companies vs industrial companies
Tracking error
Shape of portfolio possibilities curve
Multi- period version of CAPM
14. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Sharpe measure
3 main types of operational risk
Kidder Peabody
15. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Practical considerations related to ERM implementatio
VaR- based analysis (formula)
Market imperfections that can create value
Security (primary vs secondary)
16. Covariance = correlation coefficient std dev(a) std dev(b)
Models used in ERM framework
Formula for covariance
Volatility Market risk
Probability of ruin
17. 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
Asset transformers
Recovery rate
Capital market line (CML)
Differences in financial risk management for financial companies vs industrial companies
18. Interest rate movements - derivatives - defaults
Basis
Shortcomings of risk metrics
Financial Risk
APT (equation and assumptions)
19. 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
Ten assumptions underlying CAPM
VaR - Value at Risk
Risk
LTCM
20. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Sovereign risk
Zero- beta CAPM (two factor model)
Carry- backs and carry- forwards
Ri = Rz + (gamma)(beta)
21. Return is linearly related to growth rate in consumption
Financial risks
Solve for minimum variance portfolio
Multi- period version of CAPM
Asset liquidity risk
22. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Three main reasons for financial disasters
Ri = ai + bi1l1 + bi2l2....+ei
Practical considerations related to ERM implementatio
Solve for minimum variance portfolio
23. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
VaR - Value at Risk
Ri = Rz + (gamma)(beta)
Multi- period version of CAPM
24. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Asset transformers
Drysdale Securities (Chase Manhattan)
Risk types addressed by ERM
Tracking error
25. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Nonmarketable asset impact on CAPM
Valuation vs. Risk management
Banker's Trust
Expected return of two assets
26. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Shortcomings of risk metrics
Sortino ratio
Formula for covariance
Efficient frontier
27. Need to assess risk and tell management so they can determine which risks to take on
Models used in ERM framework
Sharpe measure
Nonmarketable asset impact on CAPM
Importance of communication for risk managers
28. Asset-liability/market-liquidity risk
Risk
Performance- related metrics
Liquidity risk
Prices of risk vs sensitivity
29. Cannot exit position in market due to size of the position
Asset liquidity risk
Shortcomings of risk metrics
Sovereign risk
BTR - Below Target Risk
30. 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
Correlation coefficient effect on diversification
Sharpe measure
Kidder Peabody
CAPM with taxes included (equation)
31. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Treynor measure
Shortcomings of risk metrics
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Exposure
32. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Shortfall risk
APT in active portfolio management
Tracking error
Three main reasons for financial disasters
33. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Debt overhang
Credit event
Options motivation on volatility
Sovereign risk
34. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Recovery rate
Basic Market risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Risk
35. Absolute and relative risk - direction and non-directional
Forms of Market risk
Funding liquidity risk
Where is risk coming from
APT for passive portfolio management
36. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Firms becoming more sensitive to changes(bank deregulation)
CAPM assumption for EMH
Settlement risk
APT in active portfolio management
37. Concave function that extends from minimum variance portfolio to maximum return portfolio
Parametric VaR
Capital market line (CML)
Liquidity risk
Efficient frontier
38. When two payments are exchanged the same day and one party may default after payment is made
3 main types of operational risk
RAR = relative return of portfolio (RRp)
Settlement risk
VaR - Value at Risk
39. The need to hedge against risks - for firms need to speculate.
What lead to the exponential growth to derivatives mkt?
Solve for minimum variance portfolio
Solvency-related metrics
Financial risks
40. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Probability of ruin
Practical considerations related to ERM implementatio
Security (primary vs secondary)
Morningstar Rating System
41. 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
RAR = relative return of portfolio (RRp)
Barings
Ri = ai + bi1l1 + bi2l2....+ei
42. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Sortino ratio
3 main types of operational risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Multi- period version of CAPM
43. The uses of debt to fall into a lower tax rate
Business risks
Practical considerations related to ERM implementatio
Market imperfections that can create value
Tax shield
44. Risk of loses owing to movements in level or volatility of market prices
Market risk
Volatility Market risk
Practical considerations related to ERM implementatio
Correlation coefficient effect on diversification
45. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Shortcomings of risk metrics
Information ratio
Risk- adjusted performance measure (RAP)
Standard deviation of two assets
46. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Ri = ai + bi1l1 + bi2l2....+ei
Importance of communication for risk managers
Risk- adjusted performance measure (RAP)
Shape of portfolio possibilities curve
47. Rp = XaRa + XbRb
Probability of ruin
Debt overhang
Efficient frontier
Expected return of two assets
48. Unanticipated movements in relative prices of assets in hedged position
Basic Market risk
3 main types of operational risk
Risk- adjusted performance measure (RAP)
Exposure
49. Occurs the day when two parties exchange payments same day
Settlement risk
Traits of ERM
Uncertainty
RAR = relative return of portfolio (RRp)
50. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
VaR - Value at Risk
Effect of heterogeneous expectations on CAPM
Tax shield
Basic Market risk
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