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Test your basic knowledge |
FRM: Foundations Of Risk Management
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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. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Solve for minimum variance portfolio
Uncertainty
Asset transformers
Three main reasons for financial disasters
2. Concave function that extends from minimum variance portfolio to maximum return portfolio
Basic Market risk
Efficient frontier
VaR - Value at Risk
Uncertainty
3. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Efficient frontier
Debt overhang
Settlement risk
Source of need for risk management
4. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
APT for passive portfolio management
Barings
Business risks
Debt overhang
5. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Ways firms can fail to account for risks
Risk Management Irrelevance Proposition
Risk- adjusted performance measure (RAP)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
6. 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
3 main types of operational risk
Importance of communication for risk managers
Treynor measure
7. Need to assess risk and tell management so they can determine which risks to take on
Financial risks
Where is risk coming from
Four major types of risk
Importance of communication for risk managers
8. Rp = XaRa + XbRb
Risk
Credit event
Options motivation on volatility
Expected return of two assets
9. 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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10. 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
Risk types addressed by ERM
Recovery rate
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
11. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Zero- beta CAPM (two factor model)
Drysdale Securities (Chase Manhattan)
Standard deviation of two assets
Tax shield
12. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Efficient frontier
Business risks
CAPM assumption for EMH
Effect of heterogeneous expectations on CAPM
13. Covariance = correlation coefficient std dev(a) std dev(b)
Market risk
Differences in financial risk management for financial companies vs industrial companies
Formula for covariance
APT in active portfolio management
14. Absolute and relative risk - direction and non-directional
Market imperfections that can create value
Forms of Market risk
Risks excluded from operational risk
CAPM with taxes included (equation)
15. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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16. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Shortcomings of risk metrics
3 main types of operational risk
Morningstar Rating System
Shape of portfolio possibilities curve
17. Future price is greater than the spot price
Contango
Parametric VaR
BTR - Below Target Risk
3 main types of operational risk
18. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Standard deviation of two assets
Performance- related metrics
Differences in financial risk management for financial companies vs industrial companies
APT in active portfolio management
19. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Multi- period version of CAPM
Operational risk
CAPM assumption for EMH
Performance- related metrics
20. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Options motivation on volatility
Solve for minimum variance portfolio
Information ratio
Efficient frontier
21. 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
Allied Irish Bank
Basic Market risk
Kidder Peabody
Source of need for risk management
22. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
VaR- based analysis (formula)
Ten assumptions underlying CAPM
Market imperfections that can create value
RAR = relative return of portfolio (RRp)
23. Wrong distribution - Historical sample may not apply
Sharpe measure
Business Risk
Sortino ratio
Ways risk can be mismeasured
24. Prices of risk are common factors and do not change - Sensitivities can change
Prices of risk vs sensitivity
Effect of heterogeneous expectations on CAPM
Risk
Basic Market risk
25. Asset-liability/market-liquidity risk
Sharpe measure
Source of need for risk management
Liquidity risk
Capital market line (CML)
26. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Financial risks
RAR = relative return of portfolio (RRp)
BTR - Below Target Risk
Nonmarketable asset impact on CAPM
27. The need to hedge against risks - for firms need to speculate.
Risk
Differences in financial risk management for financial companies vs industrial companies
Firms becoming more sensitive to changes(bank deregulation)
What lead to the exponential growth to derivatives mkt?
28. 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
Tax shield
Banker's Trust
Derivative contract
Ten assumptions underlying CAPM
29. 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
Zero- beta CAPM (two factor model)
Carry- backs and carry- forwards
Kidder Peabody
Barings
30. 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
3 main types of operational risk
Market imperfections that can create value
Capital market line (CML)
Tracking error
31. Multibeta CAPM Ri - Rf =
Information ratio
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Drysdale Securities (Chase Manhattan)
Basis risk
32. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Basis
VaR - Value at Risk
Ri = ai + bi1l1 + bi2l2....+ei
Business Risk
33. Probability distribution is unknown (ex. A terrorist attack)
CAPM (formula)
Uncertainty
Settlement risk
APT (equation and assumptions)
34. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Traits of ERM
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Models used in ERM framework
Where is risk coming from
35. Derives value from an underlying asset - rate - or index - Derives value from a security
Practical considerations related to ERM implementatio
Derivative contract
Solve for minimum variance portfolio
Importance of communication for risk managers
36. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Basis
Effect of heterogeneous expectations on CAPM
Shortfall risk
Market imperfections that can create value
37. Hazard - Financial - Operational - Strategic
Carry- backs and carry- forwards
Risk types addressed by ERM
Probability of ruin
Tax shield
38. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Firms becoming more sensitive to changes(bank deregulation)
Nonparametric VaR
Funding liquidity risk
Standard deviation of two assets
39. 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
Nonmarketable asset impact on CAPM
Drysdale Securities (Chase Manhattan)
Liquidity risk
Shortcomings of risk metrics
40. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Asset transformers
Sortino ratio
Multi- period version of CAPM
41. Quantile of an empirical distribution
Shortfall risk
Nonparametric VaR
Effect of non- price- taking behavior on CAPM
Firms becoming more sensitive to changes(bank deregulation)
42. When negative taxable income is moved to a different year to offset future or past taxable income
RAR = relative return of portfolio (RRp)
Asset liquidity risk
Carry- backs and carry- forwards
Shape of portfolio possibilities curve
43. Occurs the day when two parties exchange payments same day
Ten assumptions underlying CAPM
Drysdale Securities (Chase Manhattan)
Settlement risk
Debt overhang
44. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Ten assumptions underlying CAPM
Solvency-related metrics
Business Risk
Sharpe measure
45. 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
Uncertainty
Basis
Solve for minimum variance portfolio
Business Risk
46. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Risk- adjusted performance measure (RAP)
Three main reasons for financial disasters
What lead to the exponential growth to derivatives mkt?
Banker's Trust
47. 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
Business risks
Tax shield
Kidder Peabody
What lead to the exponential growth to derivatives mkt?
48. 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
Source of need for risk management
Probability of ruin
RAR = relative return of portfolio (RRp)
Ri = ai + bi1l1 + bi2l2....+ei
49. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Ri = Rz + (gamma)(beta)
Models used in ERM framework
Credit event
Tracking error
50. The lower (closer to - 1) - the higher the payoff from diversification
Asset transformers
Correlation coefficient effect on diversification
Four major types of risk
Basic Market risk