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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. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
APT for passive portfolio management
Liquidity risk
Importance of communication for risk managers
3 main types of operational risk
2. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Debt overhang
Four major types of risk
Tracking error
VaR- based analysis (formula)
3. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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4. Both probability and cost of tail events are considered
Risk types addressed by ERM
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Contango
Allied Irish Bank
5. Asses firm risks - Communicate risks - Manage and monitor risks
Ri = ai + bi1l1 + bi2l2....+ei
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Asset liquidity risk
Roles of risk management
6. Rp = XaRa + XbRb
Sharpe measure
Barings
Expected return of two assets
Ten assumptions underlying CAPM
7. Volatility of unexpected outcomes
CAPM with taxes included (equation)
Risk
Treynor measure
Funding liquidity risk
8. Capital structure (financial distress) - Taxes - Agency and information asymmetries
3 main types of operational risk
BTR - Below Target Risk
Correlation coefficient effect on diversification
Market imperfections that can create value
9. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Roles of risk management
Importance of communication for risk managers
Sharpe measure
Effect of non- price- taking behavior on CAPM
10. 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
Market imperfections that can create value
Risk Management Irrelevance Proposition
Valuation vs. Risk management
Prices of risk vs sensitivity
11. Quantile of an empirical distribution
Nonmarketable asset impact on CAPM
Nonparametric VaR
Risk
Basis
12. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solvency-related metrics
3 main types of operational risk
Effect of non- price- taking behavior on CAPM
VaR- based analysis (formula)
13. Probability distribution is unknown (ex. A terrorist attack)
Settlement risk
Uncertainty
Nonparametric VaR
Jensen's alpha
14. Cannot exit position in market due to size of the position
CAPM with taxes included (equation)
Models used in ERM framework
Parametric VaR
Asset liquidity risk
15. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Correlation coefficient effect on diversification
Ri = ai + bi1l1 + bi2l2....+ei
Multi- period version of CAPM
16. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
RAR = relative return of portfolio (RRp)
Sharpe measure
Ways firms can fail to account for risks
Financial Risk
17. Curve must be concave - Straight line connecting any two points must be under the curve
Tax shield
Debt overhang
Asset liquidity risk
Shape of portfolio possibilities curve
18. Strategic risk - Business risk - Reputational risk
3 main types of operational risk
Risks excluded from operational risk
Market imperfections that can create value
Solve for minimum variance portfolio
19. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
APT for passive portfolio management
Sortino ratio
Risk
Credit event
20. Unanticipated movements in relative prices of assets in hedged position
Basis
Basic Market risk
Asset liquidity risk
Jensen's alpha
21. Relative portfolio risk (RRiskp) - Based on a one- month investment period
RAR = relative return of portfolio (RRp)
Ri = ai + bi1l1 + bi2l2....+ei
Operational risk
Tax shield
22. 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
Asset transformers
Ten assumptions underlying CAPM
Firms becoming more sensitive to changes(bank deregulation)
Risks excluded from operational risk
23. 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
APT (equation and assumptions)
Barings
CAPM (formula)
Derivative contract
24. 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
Ten assumptions underlying CAPM
Expected return of two assets
Risks excluded from operational risk
Capital market line (CML)
25. Probability that a random variable falls below a specified threshold level
Prices of risk vs sensitivity
Source of need for risk management
Sovereign risk
Shortfall risk
26. 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
Settlement risk
Funding liquidity risk
Models used in ERM framework
Allied Irish Bank
27. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Debt overhang
Shortfall risk
Financial risks
28. When two payments are exchanged the same day and one party may default after payment is made
Basic Market risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Four major types of risk
Settlement 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.
Firms becoming more sensitive to changes(bank deregulation)
Security (primary vs secondary)
Risk Management Irrelevance Proposition
Banker's Trust
30. The lower (closer to - 1) - the higher the payoff from diversification
RAR = relative return of portfolio (RRp)
Sovereign risk
Derivative contract
Correlation coefficient effect on diversification
31. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Nonmarketable asset impact on CAPM
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Treynor measure
Roles of risk management
32. 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
Sortino ratio
Practical considerations related to ERM implementatio
Traits of ERM
What lead to the exponential growth to derivatives mkt?
33. Interest rate movements - derivatives - defaults
Financial Risk
CAPM (formula)
Tracking error
Shortcomings of risk metrics
34. 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
Models used in ERM framework
LTCM
Effect of heterogeneous expectations on CAPM
Tax shield
35. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
EPD or ECOR - Expected Policyholder Deficit (EPD)
Effect of heterogeneous expectations on CAPM
Risk- adjusted performance measure (RAP)
Multi- period version of CAPM
36. 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
Exposure
Risks excluded from operational risk
Shape of portfolio possibilities curve
Shortcomings of risk metrics
37. 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
Tracking error
APT for passive portfolio management
Financial risks
Basis risk
38. 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
3 main types of operational risk
Four major types of risk
Kidder Peabody
Business Risk
39. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Solvency-related metrics
Risk- adjusted performance measure (RAP)
Debt overhang
40. Law of one price - Homogeneous expectations - Security returns process
Tail VaR or TCE - Tail Conditional Expectation(TCE)
VaR- based analysis (formula)
APT (equation and assumptions)
APT in active portfolio management
41. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
What lead to the exponential growth to derivatives mkt?
Sortino ratio
Settlement risk
Tax shield
42. The need to hedge against risks - for firms need to speculate.
VaR - Value at Risk
Probability of ruin
What lead to the exponential growth to derivatives mkt?
Market risk
43. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Ri = ai + bi1l1 + bi2l2....+ei
APT for passive portfolio management
Information ratio
APT (equation and assumptions)
44. 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
Settlement risk
Drysdale Securities (Chase Manhattan)
Risk types addressed by ERM
CAPM with taxes included (equation)
45. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Risk types addressed by ERM
APT in active portfolio management
Sortino ratio
Debt overhang
46. Prices of risk are common factors and do not change - Sensitivities can change
Prices of risk vs sensitivity
Derivative contract
3 main types of operational risk
Performance- related metrics
47. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Jensen's alpha
Risk types addressed by ERM
Information ratio
VaR - Value at Risk
48. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
CAPM (formula)
Practical considerations related to ERM implementatio
Standard deviation of two assets
Correlation coefficient effect on diversification
49. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Solve for minimum variance portfolio
Zero- beta CAPM (two factor model)
Ways firms can fail to account for risks
Ways risk can be mismeasured
50. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Financial Risk
Basis risk
Standard deviation of two assets
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)