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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. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Risk
Solve for minimum variance portfolio
Performance- related metrics
VaR - Value at Risk
2. Potential amount that can be lost
Basis risk
Source of need for risk management
Exposure
Forms of Market risk
3. Probability that a random variable falls below a specified threshold level
Practical considerations related to ERM implementatio
Shortfall risk
APT for passive portfolio management
Basis
4. Need to assess risk and tell management so they can determine which risks to take on
Options motivation on volatility
Asset liquidity risk
Importance of communication for risk managers
Risk types addressed by ERM
5. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Business risks
Information ratio
What lead to the exponential growth to derivatives mkt?
RAR = relative return of portfolio (RRp)
6. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Sortino ratio
Settlement risk
Tracking error
Volatility Market risk
7. Volatility of unexpected outcomes
Financial risks
Source of need for risk management
Risk
Shortfall risk
8. Rp = XaRa + XbRb
Contango
Expected return of two assets
Effect of non- price- taking behavior on CAPM
Models used in ERM framework
9. 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
Volatility Market risk
Shortcomings of risk metrics
Models used in ERM framework
Asset transformers
10. Cannot exit position in market due to size of the position
Debt overhang
Ways firms can fail to account for risks
EPD or ECOR - Expected Policyholder Deficit (EPD)
Asset liquidity risk
11. 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
Standard deviation of two assets
Drysdale Securities (Chase Manhattan)
Recovery rate
Nonparametric VaR
12. 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
Volatility Market risk
Uncertainty
Solvency-related metrics
Probability of ruin
13. Multibeta CAPM Ri - Rf =
Probability of ruin
Basis
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
3 main types of operational risk
14. Strategic risk - Business risk - Reputational risk
Risks excluded from operational risk
Asset liquidity risk
Security (primary vs secondary)
Basic Market risk
15. Risk of loses owing to movements in level or volatility of market prices
Market risk
Solve for minimum variance portfolio
Risk types addressed by ERM
Standard deviation of two assets
16. Changes in vol - implied or actual
Ri = Rz + (gamma)(beta)
Volatility Market risk
Morningstar Rating System
Treynor measure
17. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Ways firms can fail to account for risks
BTR - Below Target Risk
Asset transformers
Standard deviation of two assets
18. Inability to make payment obligations (ex. Margin calls)
Shape of portfolio possibilities curve
Basis risk
Funding liquidity risk
Forms of Market risk
19. Occurs the day when two parties exchange payments same day
Morningstar Rating System
Tail VaR or TCE - Tail Conditional Expectation(TCE)
LTCM
Settlement risk
20. Both probability and cost of tail events are considered
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Sovereign risk
Efficient frontier
APT (equation and assumptions)
21. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Roles of risk management
Ri = Rz + (gamma)(beta)
Ways risk can be mismeasured
Debt overhang
22. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
Business risks
Efficient frontier
Barings
23. Future price is greater than the spot price
Ways risk can be mismeasured
Contango
Business risks
Uncertainty
24. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Solvency-related metrics
Tail VaR or TCE - Tail Conditional Expectation(TCE)
CAPM assumption for EMH
Sharpe measure
25. Quantile of a statistical distribution
Shape of portfolio possibilities curve
Sovereign risk
Basis risk
Parametric VaR
26. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Operational risk
Banker's Trust
APT in active portfolio management
CAPM with taxes included (equation)
27. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
CAPM (formula)
Where is risk coming from
Zero- beta CAPM (two factor model)
3 main types of operational risk
28. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Asset liquidity risk
Sovereign risk
Firms becoming more sensitive to changes(bank deregulation)
Ways firms can fail to account for risks
29. 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
Ways firms can fail to account for risks
Drysdale Securities (Chase Manhattan)
Shortcomings of risk metrics
Practical considerations related to ERM implementatio
30. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Four major types of risk
Basis
Shape of portfolio possibilities curve
Banker's Trust
31. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solvency-related metrics
Funding liquidity risk
LTCM
Differences in financial risk management for financial companies vs industrial companies
32. The uses of debt to fall into a lower tax rate
Risk
Tax shield
APT for passive portfolio management
Where is risk coming from
33. 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
Forms of Market risk
VaR - Value at Risk
Ways risk can be mismeasured
APT for passive portfolio management
34. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Tax shield
Shape of portfolio possibilities curve
Performance- related metrics
Risk- adjusted performance measure (RAP)
35. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Contango
Asset liquidity risk
Forms of Market risk
Information ratio
36. Expected value of unfavorable deviations of a random variable from a specified target level
Risk
Firms becoming more sensitive to changes(bank deregulation)
BTR - Below Target Risk
Effect of heterogeneous expectations on CAPM
37. 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
Asset transformers
Nonmarketable asset impact on CAPM
Kidder Peabody
Basic Market risk
38. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Settlement risk
Importance of communication for risk managers
Where is risk coming from
Treynor measure
39. 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
Valuation vs. Risk management
APT (equation and assumptions)
Tracking error
Expected return of two assets
40. Prices of risk are common factors and do not change - Sensitivities can change
Treynor measure
Morningstar Rating System
Prices of risk vs sensitivity
Kidder Peabody
41. Law of one price - Homogeneous expectations - Security returns process
APT (equation and assumptions)
Traits of ERM
Probability of ruin
Basis
42. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
BTR - Below Target Risk
Standard deviation of two assets
Sharpe measure
Zero- beta CAPM (two factor model)
43. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Jensen's alpha
Effect of non- price- taking behavior on CAPM
Source of need for risk management
Zero- beta CAPM (two factor model)
44. 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
Basic Market risk
Shortfall risk
Information ratio
45. Return is linearly related to growth rate in consumption
BTR - Below Target Risk
Four major types of risk
Multi- period version of CAPM
Basic Market risk
46. Absolute and relative risk - direction and non-directional
Forms of Market risk
Allied Irish Bank
Capital market line (CML)
Risk Management Irrelevance Proposition
47. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Basis risk
Ri = Rz + (gamma)(beta)
Volatility Market risk
Market imperfections that can create value
48. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Derivative contract
Tracking error
Settlement risk
Debt overhang
49. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Information ratio
Risk Management Irrelevance Proposition
Prices of risk vs sensitivity
Differences in financial risk management for financial companies vs industrial companies
50. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Allied Irish Bank
Asset liquidity risk
Options motivation on volatility
Four major types of risk