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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. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Market risk
APT in active portfolio management
CAPM with taxes included (equation)
RAR = relative return of portfolio (RRp)
2. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
3 main types of operational risk
APT (equation and assumptions)
Importance of communication for risk managers
VaR- based analysis (formula)
3. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Shortfall risk
Effect of non- price- taking behavior on CAPM
Correlation coefficient effect on diversification
Four major types of risk
4. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Basis
LTCM
Financial Risk
Formula for covariance
5. Cannot exit position in market due to size of the position
Asset liquidity risk
Ri = Rz + (gamma)(beta)
Settlement risk
Valuation vs. Risk management
6. Quantile of an empirical distribution
Parametric VaR
VaR- based analysis (formula)
Nonparametric VaR
Roles of risk management
7. The uses of debt to fall into a lower tax rate
Debt overhang
Tax shield
Recovery rate
Importance of communication for risk managers
8. Wrong distribution - Historical sample may not apply
Ways risk can be mismeasured
Barings
Financial Risk
Carry- backs and carry- forwards
9. Multibeta CAPM Ri - Rf =
Settlement risk
Formula for covariance
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Volatility Market risk
10. Probability that a random variable falls below a specified threshold level
Shortfall risk
Solve for minimum variance portfolio
Tracking error
LTCM
11. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Three main reasons for financial disasters
Risk Management Irrelevance Proposition
Security (primary vs secondary)
12. Quantile of a statistical distribution
Basis risk
Parametric VaR
Business Risk
Ten assumptions underlying CAPM
13. Expected value of unfavorable deviations of a random variable from a specified target level
Kidder Peabody
BTR - Below Target Risk
Contango
Differences in financial risk management for financial companies vs industrial companies
14. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Treynor measure
Performance- related metrics
Multi- period version of CAPM
Sovereign risk
15. Losses due to market activities ex. Interest rate changes or defaults
Contango
Asset transformers
Multi- period version of CAPM
Financial risks
16. 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
LTCM
APT for passive portfolio management
Roles of risk management
Firms becoming more sensitive to changes(bank deregulation)
17. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Sovereign risk
Performance- related metrics
Ten assumptions underlying CAPM
Information ratio
18. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Solve for minimum variance portfolio
Traits of ERM
Ri = Rz + (gamma)(beta)
Liquidity risk
19. 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
Debt overhang
APT in active portfolio management
RAR = relative return of portfolio (RRp)
Allied Irish Bank
20. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
VaR - Value at Risk
Performance- related metrics
BTR - Below Target Risk
Parametric VaR
21. 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
Shape of portfolio possibilities curve
Solvency-related metrics
Three main reasons for financial disasters
Business Risk
22. Risk of loses owing to movements in level or volatility of market prices
Zero- beta CAPM (two factor model)
Market risk
VaR- based analysis (formula)
Barings
23. Need to assess risk and tell management so they can determine which risks to take on
Importance of communication for risk managers
Financial Risk
Asset transformers
VaR- based analysis (formula)
24. Absolute and relative risk - direction and non-directional
Forms of Market risk
Ways firms can fail to account for risks
Four major types of risk
Operational risk
25. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Three main reasons for financial disasters
Ten assumptions underlying CAPM
Morningstar Rating System
Carry- backs and carry- forwards
26. 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
Funding liquidity risk
Banker's Trust
Kidder Peabody
Standard deviation of two assets
27. Changes in vol - implied or actual
Traits of ERM
Volatility Market risk
Ways risk can be mismeasured
EPD or ECOR - Expected Policyholder Deficit (EPD)
28. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Zero- beta CAPM (two factor model)
Importance of communication for risk managers
Effect of heterogeneous expectations on CAPM
Ways firms can fail to account for risks
29. 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
Credit event
Jensen's alpha
LTCM
VaR - Value at Risk
30. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Ten assumptions underlying CAPM
Ri = Rz + (gamma)(beta)
Operational risk
Effect of heterogeneous expectations on CAPM
31. 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
Contango
Basis
Performance- related metrics
Traits of ERM
32. CAPM requires the strong form of the Efficient Market Hypothesis = private information
CAPM assumption for EMH
What lead to the exponential growth to derivatives mkt?
Correlation coefficient effect on diversification
Basic Market risk
33. Leeson took large speculative position in Nikkei 225 disguised as safe transactions by fake customers - Earthquake increased volatility and destroyed short put options - Losses of 1.25 billion and forced bankruptcy - Necessity of an independent tradi
Exposure
Barings
Liquidity risk
Capital market line (CML)
34. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
CAPM with taxes included (equation)
Parametric VaR
Nonmarketable asset impact on CAPM
Financial Risk
35. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Shortfall risk
APT in active portfolio management
Three main reasons for financial disasters
Firms becoming more sensitive to changes(bank deregulation)
36. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Financial risks
Credit event
Solve for minimum variance portfolio
Where is risk coming from
37. Modeling approach is typically between statistical analytic models and structural simulation models
What lead to the exponential growth to derivatives mkt?
Asset transformers
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Models used in ERM framework
38. Strategic risk - Business risk - Reputational risk
Information ratio
Prices of risk vs sensitivity
Firms becoming more sensitive to changes(bank deregulation)
Risks excluded from operational risk
39. Inability to make payment obligations (ex. Margin calls)
Prices of risk vs sensitivity
Ways firms can fail to account for risks
Security (primary vs secondary)
Funding liquidity risk
40. Potential amount that can be lost
Solvency-related metrics
Parametric VaR
Exposure
Ri = ai + bi1l1 + bi2l2....+ei
41. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
CAPM (formula)
Liquidity risk
CAPM assumption for EMH
Options motivation on volatility
42. Future price is greater than the spot price
Importance of communication for risk managers
Ri = ai + bi1l1 + bi2l2....+ei
Derivative contract
Contango
43. Concave function that extends from minimum variance portfolio to maximum return portfolio
Debt overhang
Efficient frontier
Liquidity risk
Sharpe measure
44. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Basis
APT for passive portfolio management
Sortino ratio
Tail VaR or TCE - Tail Conditional Expectation(TCE)
45. Occurs the day when two parties exchange payments same day
Kidder Peabody
Settlement risk
CAPM assumption for EMH
Solvency-related metrics
46. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Probability of ruin
APT (equation and assumptions)
Credit event
47. Interest rate movements - derivatives - defaults
Financial Risk
Performance- related metrics
Debt overhang
Barings
48. Market risk - Liquidity risk - Credit risk - Operational risk
Correlation coefficient effect on diversification
Business Risk
Four major types of risk
Basis risk
49. Asset-liability/market-liquidity risk
Jensen's alpha
Liquidity risk
Business risks
Basis risk
50. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Correlation coefficient effect on diversification
Risk
Source of need for risk management
Risk- adjusted performance measure (RAP)