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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. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Ri = Rz + (gamma)(beta)
Nonparametric VaR
Contango
Risk
2. 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
Risks excluded from operational risk
Ri = Rz + (gamma)(beta)
Sovereign risk
3. 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
Tracking error
Ten assumptions underlying CAPM
Settlement risk
Practical considerations related to ERM implementatio
4. Unanticipated movements in relative prices of assets in hedged position
Credit event
Basic Market risk
Banker's Trust
Expected return of two assets
5. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
Credit event
Treynor measure
Ten assumptions underlying CAPM
6. Law of one price - Homogeneous expectations - Security returns process
Risk types addressed by ERM
APT (equation and assumptions)
Drysdale Securities (Chase Manhattan)
Ways risk can be mismeasured
7. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Business risks
Carry- backs and carry- forwards
Tax shield
LTCM
8. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Jensen's alpha
Carry- backs and carry- forwards
Financial Risk
3 main types of operational risk
9. When negative taxable income is moved to a different year to offset future or past taxable income
Solvency-related metrics
Prices of risk vs sensitivity
Carry- backs and carry- forwards
Business risks
10. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Risks excluded from operational risk
CAPM (formula)
Recovery rate
Basis
11. Cannot exit position in market due to size of the position
Asset liquidity risk
Multi- period version of CAPM
Probability of ruin
Three main reasons for financial disasters
12. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Risk Management Irrelevance Proposition
CAPM with taxes included (equation)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Basic Market risk
13. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Barings
Security (primary vs secondary)
Treynor measure
Sortino ratio
14. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Formula for covariance
Treynor measure
Tracking error
Ten assumptions underlying CAPM
15. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Nonmarketable asset impact on CAPM
Efficient frontier
Financial risks
CAPM (formula)
16. Concave function that extends from minimum variance portfolio to maximum return portfolio
Efficient frontier
Differences in financial risk management for financial companies vs industrial companies
Carry- backs and carry- forwards
Exposure
17. The lower (closer to - 1) - the higher the payoff from diversification
Risk
Correlation coefficient effect on diversification
Shortcomings of risk metrics
Carry- backs and carry- forwards
18. Hazard - Financial - Operational - Strategic
Risk types addressed by ERM
Tax shield
Source of need for risk management
Contango
19. 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.
Risk Management Irrelevance Proposition
CAPM with taxes included (equation)
BTR - Below Target Risk
Where is risk coming from
20. 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 transformers
Source of need for risk management
Sharpe measure
Banker's Trust
21. 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
Ri = Rz + (gamma)(beta)
Expected return of two assets
Zero- beta CAPM (two factor model)
Valuation vs. Risk management
22. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Carry- backs and carry- forwards
Asset transformers
Zero- beta CAPM (two factor model)
Banker's Trust
23. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Four major types of risk
Exposure
Volatility Market risk
Debt overhang
24. When two payments are exchanged the same day and one party may default after payment is made
Allied Irish Bank
Expected return of two assets
Settlement risk
Differences in financial risk management for financial companies vs industrial companies
25. 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
Basic Market risk
Shortcomings of risk metrics
Settlement risk
What lead to the exponential growth to derivatives mkt?
26. Rp = XaRa + XbRb
Expected return of two assets
CAPM (formula)
Formula for covariance
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
27. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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28. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Shortcomings of risk metrics
Where is risk coming from
Information ratio
Banker's Trust
29. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Forms of Market risk
Debt overhang
Nonmarketable asset impact on CAPM
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
30. Risk of loses owing to movements in level or volatility of market prices
Exposure
Market risk
Solve for minimum variance portfolio
Financial risks
31. Curve must be concave - Straight line connecting any two points must be under the curve
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Asset transformers
Shape of portfolio possibilities curve
Effect of heterogeneous expectations on CAPM
32. Losses due to market activities ex. Interest rate changes or defaults
Financial risks
Market risk
Multi- period version of CAPM
Drysdale Securities (Chase Manhattan)
33. Potential amount that can be lost
Recovery rate
Exposure
Traits of ERM
Importance of communication for risk managers
34. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Ri = ai + bi1l1 + bi2l2....+ei
Traits of ERM
Effect of non- price- taking behavior on CAPM
Correlation coefficient effect on diversification
35. 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
Probability of ruin
LTCM
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Ways firms can fail to account for risks
36. 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
CAPM with taxes included (equation)
Solvency-related metrics
CAPM assumption for EMH
Capital market line (CML)
37. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Risk Management Irrelevance Proposition
Sovereign risk
Firms becoming more sensitive to changes(bank deregulation)
Risk types addressed by ERM
38. Expected value of unfavorable deviations of a random variable from a specified target level
BTR - Below Target Risk
Uncertainty
Capital market line (CML)
Debt overhang
39. Asses firm risks - Communicate risks - Manage and monitor risks
Standard deviation of two assets
Debt overhang
Roles of risk management
Parametric VaR
40. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Tracking error
Sovereign risk
Risks excluded from operational risk
Forms of Market risk
41. Both probability and cost of tail events are considered
Carry- backs and carry- forwards
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Security (primary vs secondary)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
42. 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
Shortcomings of risk metrics
Tracking error
Allied Irish Bank
Kidder Peabody
43. Quantile of an empirical distribution
Basis risk
Efficient frontier
Nonparametric VaR
What lead to the exponential growth to derivatives mkt?
44. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Shortfall risk
Asset transformers
Market imperfections that can create value
Correlation coefficient effect on diversification
45. Modeling approach is typically between statistical analytic models and structural simulation models
Formula for covariance
Models used in ERM framework
Where is risk coming from
Volatility Market risk
46. Derives value from an underlying asset - rate - or index - Derives value from a security
Barings
Basis
Derivative contract
Uncertainty
47. Prices of risk are common factors and do not change - Sensitivities can change
APT in active portfolio management
Prices of risk vs sensitivity
Source of need for risk management
Tail VaR or TCE - Tail Conditional Expectation(TCE)
48. Occurs the day when two parties exchange payments same day
Shortcomings of risk metrics
Market imperfections that can create value
Settlement risk
Ri = ai + bi1l1 + bi2l2....+ei
49. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Kidder Peabody
Ten assumptions underlying CAPM
Asset liquidity risk
Three main reasons for financial disasters
50. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
CAPM (formula)
Uncertainty
Traits of ERM