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Test your basic knowledge |
FRM: Foundations Of Risk Management
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business-skills
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certifications
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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. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Derivative contract
Sovereign risk
Standard deviation of two assets
Ri = Rz + (gamma)(beta)
2. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Shape of portfolio possibilities curve
Treynor measure
APT (equation and assumptions)
Basis
3. Derives value from an underlying asset - rate - or index - Derives value from a security
Jensen's alpha
Derivative contract
Standard deviation of two assets
Liquidity risk
4. 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
Models used in ERM framework
Basis risk
Efficient frontier
LTCM
5. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
VaR - Value at Risk
Allied Irish Bank
Exposure
Effect of non- price- taking behavior on CAPM
6. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Security (primary vs secondary)
Firms becoming more sensitive to changes(bank deregulation)
Parametric VaR
Allied Irish Bank
7. 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
Firms becoming more sensitive to changes(bank deregulation)
Valuation vs. Risk management
Business risks
8. Both probability and cost of tail events are considered
Market imperfections that can create value
Basis risk
Kidder Peabody
Tail VaR or TCE - Tail Conditional Expectation(TCE)
9. Prices of risk are common factors and do not change - Sensitivities can change
3 main types of operational risk
Firms becoming more sensitive to changes(bank deregulation)
Three main reasons for financial disasters
Prices of risk vs sensitivity
10. John Rusnak - a currency option trader - produced losses of 691 million by using imaginary trades to disguise large naked positions. - Enforced need for back office controls
Credit event
Barings
Sharpe measure
Allied Irish Bank
11. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Zero- beta CAPM (two factor model)
Probability of ruin
Multi- period version of CAPM
Debt overhang
12. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
VaR - Value at Risk
Risk- adjusted performance measure (RAP)
Allied Irish Bank
Drysdale Securities (Chase Manhattan)
13. Returns on any stock are linearly related to a set of indexes
CAPM with taxes included (equation)
Importance of communication for risk managers
Derivative contract
Ri = ai + bi1l1 + bi2l2....+ei
14. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Basis risk
Allied Irish Bank
Settlement risk
Where is risk coming from
15. When negative taxable income is moved to a different year to offset future or past taxable income
Business Risk
Ri = ai + bi1l1 + bi2l2....+ei
Carry- backs and carry- forwards
Ways risk can be mismeasured
16. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Ri = ai + bi1l1 + bi2l2....+ei
Solvency-related metrics
Banker's Trust
Basic Market risk
17. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Multi- period version of CAPM
Shortfall risk
CAPM (formula)
Ri = Rz + (gamma)(beta)
18. Covariance = correlation coefficient std dev(a) std dev(b)
CAPM assumption for EMH
Shortcomings of risk metrics
Funding liquidity risk
Formula for covariance
19. 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
Ways firms can fail to account for risks
Debt overhang
Volatility Market risk
Funding liquidity risk
20. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Zero- beta CAPM (two factor model)
Treynor measure
Effect of non- price- taking behavior on CAPM
Security (primary vs secondary)
21. Changes in vol - implied or actual
Debt overhang
Ri = Rz + (gamma)(beta)
Volatility Market risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
22. 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
Drysdale Securities (Chase Manhattan)
RAR = relative return of portfolio (RRp)
Treynor measure
Uncertainty
23. Market risk - Liquidity risk - Credit risk - Operational risk
Four major types of risk
Valuation vs. Risk management
LTCM
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
24. Occurs the day when two parties exchange payments same day
Settlement risk
Risk Management Irrelevance Proposition
Probability of ruin
Tail VaR or TCE - Tail Conditional Expectation(TCE)
25. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Asset transformers
Ways firms can fail to account for risks
Liquidity risk
VaR- based analysis (formula)
26. Multibeta CAPM Ri - Rf =
Shortfall risk
APT (equation and assumptions)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Basic Market risk
27. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Basic Market risk
Kidder Peabody
Ways firms can fail to account for risks
Sortino ratio
28. Probability distribution is unknown (ex. A terrorist attack)
APT for passive portfolio management
Effect of non- price- taking behavior on CAPM
Multi- period version of CAPM
Uncertainty
29. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Liquidity risk
Formula for covariance
Debt overhang
Risk
30. 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
Valuation vs. Risk management
Business risks
Traits of ERM
CAPM assumption for EMH
31. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Models used in ERM framework
Effect of heterogeneous expectations on CAPM
Recovery rate
Prices of risk vs sensitivity
32. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Recovery rate
Risk
3 main types of operational risk
Effect of non- price- taking behavior on CAPM
33. Rp = XaRa + XbRb
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Market imperfections that can create value
Expected return of two assets
Banker's Trust
34. Cannot exit position in market due to size of the position
Asset liquidity risk
CAPM with taxes included (equation)
Settlement risk
Basis risk
35. 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
Shape of portfolio possibilities curve
Options motivation on volatility
36. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
VaR- based analysis (formula)
Performance- related metrics
Prices of risk vs sensitivity
Derivative contract
37. Need to assess risk and tell management so they can determine which risks to take on
Derivative contract
Financial risks
VaR- based analysis (formula)
Importance of communication for risk managers
38. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Market risk
Security (primary vs secondary)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Risk
39. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
Firms becoming more sensitive to changes(bank deregulation)
Settlement risk
Funding liquidity risk
40. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Morningstar Rating System
Zero- beta CAPM (two factor model)
CAPM (formula)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
41. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Market imperfections that can create value
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Asset liquidity risk
Credit event
42. 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 -
Drysdale Securities (Chase Manhattan)
Prices of risk vs sensitivity
Source of need for risk management
Ways firms can fail to account for risks
43. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Correlation coefficient effect on diversification
Market imperfections that can create value
What lead to the exponential growth to derivatives mkt?
BTR - Below Target Risk
44. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Volatility Market risk
Zero- beta CAPM (two factor model)
BTR - Below Target Risk
Risk- adjusted performance measure (RAP)
45. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Basis
Kidder Peabody
Solve for minimum variance portfolio
Barings
46. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Roles of risk management
Traits of ERM
Carry- backs and carry- forwards
CAPM assumption for EMH
47. Asset-liability/market-liquidity risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Asset transformers
Recovery rate
Liquidity risk
48. The need to hedge against risks - for firms need to speculate.
Asset liquidity risk
Sortino ratio
Risk- adjusted performance measure (RAP)
What lead to the exponential growth to derivatives mkt?
49. 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
APT for passive portfolio management
Ways risk can be mismeasured
Risk- adjusted performance measure (RAP)
Nonparametric VaR
50. Sold complex derivatives to Proctor & Gamble and Gibson - Were sued due to claims that they deceived buyers - Need for better controls for matching complexity of trade with client sophistication - Need for price quotes independent of front office Met
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