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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.
If you are not ready to take this test, you can
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. 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
Standard deviation of two assets
Tracking error
Ways risk can be mismeasured
Ways firms can fail to account for risks
2. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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3. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
CAPM assumption for EMH
Ways firms can fail to account for risks
Expected return of two assets
Sharpe measure
4. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Effect of heterogeneous expectations on CAPM
Shortfall risk
Probability of ruin
Shortcomings of risk metrics
5. The lower (closer to - 1) - the higher the payoff from diversification
Effect of non- price- taking behavior on CAPM
Sharpe measure
Risk- adjusted performance measure (RAP)
Correlation coefficient effect on diversification
6. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Traits of ERM
Settlement risk
Models used in ERM framework
Treynor measure
7. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Basis
Four major types of risk
Sortino ratio
Contango
8. Curve must be concave - Straight line connecting any two points must be under the curve
Allied Irish Bank
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
3 main types of operational risk
Shape of portfolio possibilities curve
9. 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 -
Solvency-related metrics
Drysdale Securities (Chase Manhattan)
Jensen's alpha
Source of need for risk management
10. Return is linearly related to growth rate in consumption
Multi- period version of CAPM
Barings
Drysdale Securities (Chase Manhattan)
RAR = relative return of portfolio (RRp)
11. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Roles of risk management
Morningstar Rating System
RAR = relative return of portfolio (RRp)
Barings
12. Covariance = correlation coefficient std dev(a) std dev(b)
Liquidity risk
Asset transformers
Allied Irish Bank
Formula for covariance
13. Hazard - Financial - Operational - Strategic
Jensen's alpha
Source of need for risk management
CAPM assumption for EMH
Risk types addressed by ERM
14. Losses due to market activities ex. Interest rate changes or defaults
Effect of non- price- taking behavior on CAPM
Traits of ERM
Financial risks
Debt overhang
15. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Three main reasons for financial disasters
Business risks
EPD or ECOR - Expected Policyholder Deficit (EPD)
Correlation coefficient effect on diversification
16. 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
Settlement risk
Solve for minimum variance portfolio
Risk
LTCM
17. Changes in vol - implied or actual
Ways risk can be mismeasured
Volatility Market risk
Sovereign risk
Correlation coefficient effect on diversification
18. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Drysdale Securities (Chase Manhattan)
Contango
Valuation vs. Risk management
19. Expected value of unfavorable deviations of a random variable from a specified target level
Valuation vs. Risk management
EPD or ECOR - Expected Policyholder Deficit (EPD)
What lead to the exponential growth to derivatives mkt?
BTR - Below Target Risk
20. Rp = XaRa + XbRb
Financial risks
Liquidity risk
Differences in financial risk management for financial companies vs industrial companies
Expected return of two assets
21. The need to hedge against risks - for firms need to speculate.
Ways risk can be mismeasured
Ways firms can fail to account for risks
Importance of communication for risk managers
What lead to the exponential growth to derivatives mkt?
22. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Effect of non- price- taking behavior on CAPM
Valuation vs. Risk management
Allied Irish Bank
VaR - Value at Risk
23. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Three main reasons for financial disasters
Effect of non- price- taking behavior on CAPM
Recovery rate
Settlement risk
24. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Sovereign risk
Efficient frontier
Models used in ERM framework
APT (equation and assumptions)
25. Probability distribution is unknown (ex. A terrorist attack)
Derivative contract
Financial risks
Uncertainty
Sortino ratio
26. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Solvency-related metrics
Basis risk
Tracking error
APT in active portfolio management
27. Need to assess risk and tell management so they can determine which risks to take on
Volatility Market risk
Business risks
Tax shield
Importance of communication for risk managers
28. Asset-liability/market-liquidity risk
APT in active portfolio management
Carry- backs and carry- forwards
Debt overhang
Liquidity risk
29. Cannot exit position in market due to size of the position
Performance- related metrics
Asset liquidity risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Settlement risk
30. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Ten assumptions underlying CAPM
Basis
RAR = relative return of portfolio (RRp)
Market imperfections that can create value
31. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Basis risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Four major types of risk
Ways risk can be mismeasured
32. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Standard deviation of two assets
Nonparametric VaR
Recovery rate
Practical considerations related to ERM implementatio
33. Capital structure (financial distress) - Taxes - Agency and information asymmetries
LTCM
Sortino ratio
Debt overhang
Market imperfections that can create value
34. Wrong distribution - Historical sample may not apply
APT (equation and assumptions)
Financial Risk
Ways risk can be mismeasured
Models used in ERM framework
35. Multibeta CAPM Ri - Rf =
Shape of portfolio possibilities curve
Sharpe measure
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Forms of Market risk
36. Absolute and relative risk - direction and non-directional
Business risks
Security (primary vs secondary)
Settlement risk
Forms of Market risk
37. Law of one price - Homogeneous expectations - Security returns process
APT (equation and assumptions)
Ways firms can fail to account for risks
Settlement risk
Solvency-related metrics
38. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Zero- beta CAPM (two factor model)
CAPM with taxes included (equation)
Barings
Market imperfections that can create value
39. Both probability and cost of tail events are considered
Market risk
Forms of Market risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
RAR = relative return of portfolio (RRp)
40. Probability that a random variable falls below a specified threshold level
Importance of communication for risk managers
Models used in ERM framework
Shortfall risk
Treynor measure
41. Strategic risk - Business risk - Reputational risk
Effect of non- price- taking behavior on CAPM
LTCM
Risks excluded from operational risk
Ri = Rz + (gamma)(beta)
42. Quantile of a statistical distribution
Ways firms can fail to account for risks
RAR = relative return of portfolio (RRp)
Parametric VaR
Liquidity risk
43. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
VaR- based analysis (formula)
Forms of Market risk
Risk types addressed by ERM
Nonmarketable asset impact on CAPM
44. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Jensen's alpha
LTCM
Three main reasons for financial disasters
Basic Market risk
45. 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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46. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Correlation coefficient effect on diversification
CAPM assumption for EMH
Debt overhang
Risk Management Irrelevance Proposition
47. When two payments are exchanged the same day and one party may default after payment is made
Settlement risk
Efficient frontier
Four major types of risk
APT for passive portfolio management
48. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
CAPM with taxes included (equation)
Source of need for risk management
Effect of non- price- taking behavior on CAPM
Solve for minimum variance portfolio
49. 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
LTCM
Importance of communication for risk managers
Business Risk
Standard deviation of two assets
50. Asses firm risks - Communicate risks - Manage and monitor risks
BTR - Below Target Risk
Jensen's alpha
Roles of risk management
Treynor measure