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Test your basic knowledge |
FRM: Foundations Of Risk Management
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frm
Instructions:
Answer 50 questions in 15 minutes.
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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. 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
Prices of risk vs sensitivity
Shortfall risk
Jensen's alpha
Ten assumptions underlying CAPM
2. Multibeta CAPM Ri - Rf =
CAPM with taxes included (equation)
Drysdale Securities (Chase Manhattan)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Four major types of risk
3. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Zero- beta CAPM (two factor model)
3 main types of operational risk
Solvency-related metrics
4. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Sharpe measure
Roles of risk management
Nonmarketable asset impact on CAPM
Shape of portfolio possibilities curve
5. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
RAR = relative return of portfolio (RRp)
Risk
CAPM assumption for EMH
Shape of portfolio possibilities curve
6. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Volatility Market risk
VaR- based analysis (formula)
Formula for covariance
Nonmarketable asset impact on CAPM
7. 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
Forms of Market risk
LTCM
CAPM with taxes included (equation)
Risk types addressed by ERM
8. Asses firm risks - Communicate risks - Manage and monitor risks
Firms becoming more sensitive to changes(bank deregulation)
EPD or ECOR - Expected Policyholder Deficit (EPD)
Ri = ai + bi1l1 + bi2l2....+ei
Roles of risk management
9. 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 in active portfolio management
Operational risk
Kidder Peabody
VaR- based analysis (formula)
10. Derives value from an underlying asset - rate - or index - Derives value from a security
Derivative contract
Prices of risk vs sensitivity
Ways risk can be mismeasured
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
11. The lower (closer to - 1) - the higher the payoff from diversification
Valuation vs. Risk management
Barings
Correlation coefficient effect on diversification
Solvency-related metrics
12. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Sharpe measure
Debt overhang
Firms becoming more sensitive to changes(bank deregulation)
CAPM with taxes included (equation)
13. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
3 main types of operational risk
Nonmarketable asset impact on CAPM
Volatility Market risk
Treynor measure
14. Concave function that extends from minimum variance portfolio to maximum return portfolio
Risks excluded from operational risk
Sharpe measure
Efficient frontier
Performance- related metrics
15. Quantile of a statistical distribution
APT for passive portfolio management
Parametric VaR
Debt overhang
Shortcomings of risk metrics
16. Strategic risk - Business risk - Reputational risk
Risks excluded from operational risk
Effect of non- price- taking behavior on CAPM
Shortfall risk
Ten assumptions underlying CAPM
17. Covariance = correlation coefficient std dev(a) std dev(b)
Risk Management Irrelevance Proposition
Drysdale Securities (Chase Manhattan)
Risk types addressed by ERM
Formula for covariance
18. 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
Debt overhang
Practical considerations related to ERM implementatio
Source of need for risk management
Risks excluded from operational risk
19. Valuation focuses on mean of distribution vs risk mgmt focuses on potential variation in payoffs - needs more precision for pricing - VAR doesn't b/c noise cancels out
VaR- based analysis (formula)
Valuation vs. Risk management
Traits of ERM
Asset transformers
20. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
3 main types of operational risk
Performance- related metrics
Volatility Market risk
Solve for minimum variance portfolio
21. Cannot exit position in market due to size of the position
Derivative contract
Asset liquidity risk
CAPM with taxes included (equation)
APT (equation and assumptions)
22. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Shortcomings of risk metrics
Kidder Peabody
Performance- related metrics
Three main reasons for financial disasters
23. Volatility of unexpected outcomes
Risk
Multi- period version of CAPM
Where is risk coming from
Shape of portfolio possibilities curve
24. Prices of risk are common factors and do not change - Sensitivities can change
CAPM (formula)
Prices of risk vs sensitivity
Security (primary vs secondary)
Firms becoming more sensitive to changes(bank deregulation)
25. 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
Exposure
Nonmarketable asset impact on CAPM
Morningstar Rating System
APT for passive portfolio management
26. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Recovery rate
Effect of heterogeneous expectations on CAPM
Firms becoming more sensitive to changes(bank deregulation)
Sortino ratio
27. Both probability and cost of tail events are considered
Shortfall risk
Formula for covariance
Banker's Trust
Tail VaR or TCE - Tail Conditional Expectation(TCE)
28. Interest rate movements - derivatives - defaults
CAPM with taxes included (equation)
Settlement risk
Financial Risk
Sovereign risk
29. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Market imperfections that can create value
Risk
Sharpe measure
Asset transformers
30. 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 -
Asset liquidity risk
Liquidity risk
Source of need for risk management
Zero- beta CAPM (two factor model)
31. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Basis
Drysdale Securities (Chase Manhattan)
APT in active portfolio management
Nonparametric VaR
32. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Liquidity risk
Sharpe measure
Risk- adjusted performance measure (RAP)
Settlement risk
33. Modeling approach is typically between statistical analytic models and structural simulation models
APT (equation and assumptions)
Risks excluded from operational risk
Models used in ERM framework
Effect of non- price- taking behavior on CAPM
34. Risk of loses owing to movements in level or volatility of market prices
Carry- backs and carry- forwards
APT for passive portfolio management
Market risk
Morningstar Rating System
35. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solvency-related metrics
Kidder Peabody
Morningstar Rating System
Barings
36. Unanticipated movements in relative prices of assets in hedged position
Differences in financial risk management for financial companies vs industrial companies
RAR = relative return of portfolio (RRp)
Basic Market risk
Probability of ruin
37. Quantile of an empirical distribution
Solvency-related metrics
Nonparametric VaR
3 main types of operational risk
Basis
38. The need to hedge against risks - for firms need to speculate.
Source of need for risk management
RAR = relative return of portfolio (RRp)
Ri = Rz + (gamma)(beta)
What lead to the exponential growth to derivatives mkt?
39. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Ways risk can be mismeasured
CAPM with taxes included (equation)
Business risks
CAPM (formula)
40. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Debt overhang
Effect of non- price- taking behavior on CAPM
Probability of ruin
Nonparametric VaR
41. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Performance- related metrics
Zero- beta CAPM (two factor model)
Firms becoming more sensitive to changes(bank deregulation)
Treynor measure
42. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Operational risk
CAPM with taxes included (equation)
Three main reasons for financial disasters
Allied Irish Bank
43. Probability that a random variable falls below a specified threshold level
Shortfall risk
Parametric VaR
Kidder Peabody
CAPM assumption for EMH
44. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Four major types of risk
CAPM (formula)
Solve for minimum variance portfolio
Parametric VaR
45. Probability distribution is unknown (ex. A terrorist attack)
Uncertainty
Forms of Market risk
Risk types addressed by ERM
Expected return of two assets
46. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Valuation vs. Risk management
Security (primary vs secondary)
LTCM
Market risk
47. 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
Treynor measure
CAPM (formula)
Traits of ERM
Risk types addressed by ERM
48. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Credit event
Effect of heterogeneous expectations on CAPM
Operational risk
Tracking error
49. 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
Performance- related metrics
Ways firms can fail to account for risks
Capital market line (CML)
Risk
50. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Importance of communication for risk managers
Debt overhang
Asset liquidity risk
Tracking error