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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. Volatility of unexpected outcomes
Efficient frontier
EPD or ECOR - Expected Policyholder Deficit (EPD)
Risk
CAPM (formula)
2. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Funding liquidity risk
Carry- backs and carry- forwards
Effect of heterogeneous expectations on CAPM
Solve for minimum variance portfolio
3. CAPM requires the strong form of the Efficient Market Hypothesis = private information
3 main types of operational risk
CAPM assumption for EMH
Where is risk coming from
APT in active portfolio management
4. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
Basis
Financial risks
Settlement risk
5. When two payments are exchanged the same day and one party may default after payment is made
Capital market line (CML)
Four major types of risk
Settlement risk
Formula for covariance
6. Concave function that extends from minimum variance portfolio to maximum return portfolio
Liquidity risk
Efficient frontier
BTR - Below Target Risk
Shortcomings of risk metrics
7. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Allied Irish Bank
Three main reasons for financial disasters
Settlement risk
Morningstar Rating System
8. Market risk - Liquidity risk - Credit risk - Operational risk
Recovery rate
Four major types of risk
Ways risk can be mismeasured
Sovereign risk
9. Covariance = correlation coefficient std dev(a) std dev(b)
Financial risks
Tax shield
Formula for covariance
Firms becoming more sensitive to changes(bank deregulation)
10. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Firms becoming more sensitive to changes(bank deregulation)
Risk
Performance- related metrics
Formula for covariance
11. The lower (closer to - 1) - the higher the payoff from diversification
Correlation coefficient effect on diversification
Market imperfections that can create value
Multi- period version of CAPM
LTCM
12. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
BTR - Below Target Risk
Recovery rate
Morningstar Rating System
Risk- adjusted performance measure (RAP)
13. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Risk- adjusted performance measure (RAP)
Risk types addressed by ERM
Standard deviation of two assets
Risks excluded from operational risk
14. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Sharpe measure
Derivative contract
Solve for minimum variance portfolio
Performance- related metrics
15. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
APT in active portfolio management
Ri = Rz + (gamma)(beta)
Where is risk coming from
Zero- beta CAPM (two factor model)
16. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Jensen's alpha
Settlement risk
CAPM (formula)
EPD or ECOR - Expected Policyholder Deficit (EPD)
17. Multibeta CAPM Ri - Rf =
Correlation coefficient effect on diversification
Differences in financial risk management for financial companies vs industrial companies
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
LTCM
18. Both probability and cost of tail events are considered
Models used in ERM framework
Business Risk
Credit event
Tail VaR or TCE - Tail Conditional Expectation(TCE)
19. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Effect of non- price- taking behavior on CAPM
Basis risk
Sovereign risk
Practical considerations related to ERM implementatio
20. Derives value from an underlying asset - rate - or index - Derives value from a security
Derivative contract
Sortino ratio
Ten assumptions underlying CAPM
Risk
21. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
EPD or ECOR - Expected Policyholder Deficit (EPD)
Four major types of risk
Ri = Rz + (gamma)(beta)
Financial risks
22. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Tracking error
Settlement risk
Traits of ERM
What lead to the exponential growth to derivatives mkt?
23. 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
Risk
Probability of ruin
CAPM with taxes included (equation)
Drysdale Securities (Chase Manhattan)
24. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Sharpe measure
Market imperfections that can create value
CAPM assumption for EMH
Multi- period version of CAPM
25. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Financial Risk
Sortino ratio
Ways firms can fail to account for risks
Solvency-related metrics
26. Quantile of a statistical distribution
Parametric VaR
Probability of ruin
Morningstar Rating System
Source of need for risk management
27. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Jensen's alpha
Risk- adjusted performance measure (RAP)
Debt overhang
Risk types addressed by ERM
28. Interest rate movements - derivatives - defaults
Financial risks
Multi- period version of CAPM
Solve for minimum variance portfolio
Financial Risk
29. 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.
Financial risks
EPD or ECOR - Expected Policyholder Deficit (EPD)
Ways risk can be mismeasured
Risk Management Irrelevance Proposition
30. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Forms of Market risk
RAR = relative return of portfolio (RRp)
Differences in financial risk management for financial companies vs industrial companies
Basis risk
31. When negative taxable income is moved to a different year to offset future or past taxable income
Ri = ai + bi1l1 + bi2l2....+ei
What lead to the exponential growth to derivatives mkt?
Differences in financial risk management for financial companies vs industrial companies
Carry- backs and carry- forwards
32. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Nonmarketable asset impact on CAPM
VaR- based analysis (formula)
Differences in financial risk management for financial companies vs industrial companies
Market imperfections that can create value
33. 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
Parametric VaR
Operational risk
Traits of ERM
Shortfall risk
34. Absolute and relative risk - direction and non-directional
Business risks
Forms of Market risk
Uncertainty
Nonparametric VaR
35. Occurs the day when two parties exchange payments same day
Asset liquidity risk
Morningstar Rating System
Prices of risk vs sensitivity
Settlement risk
36. 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
Traits of ERM
LTCM
Derivative contract
CAPM with taxes included (equation)
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
Effect of non- price- taking behavior on CAPM
Kidder Peabody
What lead to the exponential growth to derivatives mkt?
Market risk
38. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Capital market line (CML)
Debt overhang
Business Risk
39. Rp = XaRa + XbRb
Market imperfections that can create value
Where is risk coming from
Settlement risk
Expected return of two assets
40. Prices of risk are common factors and do not change - Sensitivities can change
Prices of risk vs sensitivity
Importance of communication for risk managers
Business risks
Debt overhang
41. Probability that a random variable falls below a specified threshold level
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Business risks
Shortfall risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
42. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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43. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Effect of heterogeneous expectations on CAPM
Sharpe measure
VaR- based analysis (formula)
Treynor measure
44. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Forms of Market risk
Risk- adjusted performance measure (RAP)
Business risks
Credit event
45. Changes in vol - implied or actual
APT (equation and assumptions)
Valuation vs. Risk management
Volatility Market risk
Performance- related metrics
46. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Effect of heterogeneous expectations on CAPM
Models used in ERM framework
Contango
Effect of non- price- taking behavior on CAPM
47. The need to hedge against risks - for firms need to speculate.
What lead to the exponential growth to derivatives mkt?
Shortfall risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Differences in financial risk management for financial companies vs industrial companies
48. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Basis
Information ratio
Contango
Nonmarketable asset impact on CAPM
49. Probability distribution is unknown (ex. A terrorist attack)
CAPM with taxes included (equation)
Uncertainty
APT (equation and assumptions)
Risk- adjusted performance measure (RAP)
50. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Recovery rate
Risk
Ways firms can fail to account for risks
Liquidity risk