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FRM: Foundations Of Risk Management
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Instructions:
Answer 50 questions in 15 minutes.
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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. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Models used in ERM framework
Ri = ai + bi1l1 + bi2l2....+ei
Exposure
Sharpe measure
2. Rp = XaRa + XbRb
Uncertainty
Operational risk
APT (equation and assumptions)
Expected return of two assets
3. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Solvency-related metrics
Three main reasons for financial disasters
Market risk
Effect of non- price- taking behavior on CAPM
4. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Business risks
Solvency-related metrics
Contango
Information ratio
5. Risk of loses owing to movements in level or volatility of market prices
Correlation coefficient effect on diversification
Nonmarketable asset impact on CAPM
Market risk
Zero- beta CAPM (two factor model)
6. The uses of debt to fall into a lower tax rate
BTR - Below Target Risk
Basis risk
Tax shield
Sortino ratio
7. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Market risk
Sortino ratio
Risk
Effect of non- price- taking behavior on CAPM
8. 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
What lead to the exponential growth to derivatives mkt?
Practical considerations related to ERM implementatio
Probability of ruin
Jensen's alpha
9. 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
Ri = ai + bi1l1 + bi2l2....+ei
Risk
Liquidity risk
Traits of ERM
10. Law of one price - Homogeneous expectations - Security returns process
Ways risk can be mismeasured
Information ratio
APT (equation and assumptions)
Four major types of risk
11. Cannot exit position in market due to size of the position
Treynor measure
EPD or ECOR - Expected Policyholder Deficit (EPD)
Asset liquidity risk
CAPM assumption for EMH
12. Inability to make payment obligations (ex. Margin calls)
What lead to the exponential growth to derivatives mkt?
Funding liquidity risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Financial risks
13. Wrong distribution - Historical sample may not apply
Basis risk
Importance of communication for risk managers
Ways risk can be mismeasured
Firms becoming more sensitive to changes(bank deregulation)
14. 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
CAPM with taxes included (equation)
Liquidity risk
Formula for covariance
Ten assumptions underlying CAPM
15. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Where is risk coming from
Performance- related metrics
Barings
Standard deviation of two assets
16. Occurs the day when two parties exchange payments same day
Settlement risk
Funding liquidity risk
VaR- based analysis (formula)
Valuation vs. Risk management
17. 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
Kidder Peabody
Roles of risk management
Barings
Market risk
18. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Efficient frontier
Effect of non- price- taking behavior on CAPM
Risk Management Irrelevance Proposition
19. Potential amount that can be lost
Tax shield
Tracking error
Exposure
Options motivation on volatility
20. 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
Ways firms can fail to account for risks
Basic Market risk
Derivative contract
Shortcomings of risk metrics
21. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Allied Irish Bank
Treynor measure
EPD or ECOR - Expected Policyholder Deficit (EPD)
Ways risk can be mismeasured
22. Return is linearly related to growth rate in consumption
Carry- backs and carry- forwards
Multi- period version of CAPM
Business Risk
Allied Irish Bank
23. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Debt overhang
Tracking error
Funding liquidity risk
Security (primary vs secondary)
24. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Recovery rate
Market imperfections that can create value
Sovereign risk
Firms becoming more sensitive to changes(bank deregulation)
25. Volatility of unexpected outcomes
Risk- adjusted performance measure (RAP)
Risk
Credit event
Business Risk
26. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Business Risk
Sortino ratio
Options motivation on volatility
Derivative contract
27. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Market imperfections that can create value
Volatility Market risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
BTR - Below Target Risk
28. When two payments are exchanged the same day and one party may default after payment is made
Settlement risk
Financial risks
APT in active portfolio management
EPD or ECOR - Expected Policyholder Deficit (EPD)
29. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
APT in active portfolio management
Debt overhang
Tracking error
Financial Risk
30. Hazard - Financial - Operational - Strategic
Differences in financial risk management for financial companies vs industrial companies
Solvency-related metrics
Sovereign risk
Risk types addressed by ERM
31. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Morningstar Rating System
3 main types of operational risk
Shortcomings of risk metrics
Risk
32. Probability that a random variable falls below a specified threshold level
Correlation coefficient effect on diversification
Valuation vs. Risk management
Shortfall risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
33. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Traits of ERM
Volatility Market risk
Performance- related metrics
Morningstar Rating System
34. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Shortcomings of risk metrics
Asset liquidity risk
Ri = Rz + (gamma)(beta)
VaR - Value at Risk
35. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Expected return of two assets
Treynor measure
Risk types addressed by ERM
Where is risk coming from
36. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Differences in financial risk management for financial companies vs industrial companies
Allied Irish Bank
VaR- based analysis (formula)
Ri = Rz + (gamma)(beta)
37. 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
Four major types of risk
Ten assumptions underlying CAPM
Drysdale Securities (Chase Manhattan)
Multi- period version of CAPM
38. When negative taxable income is moved to a different year to offset future or past taxable income
Asset liquidity risk
Carry- backs and carry- forwards
APT for passive portfolio management
Tracking error
39. Future price is greater than the spot price
Shape of portfolio possibilities curve
Contango
Drysdale Securities (Chase Manhattan)
Uncertainty
40. Relative portfolio risk (RRiskp) - Based on a one- month investment period
What lead to the exponential growth to derivatives mkt?
RAR = relative return of portfolio (RRp)
Risk
Exposure
41. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Credit event
Where is risk coming from
Tax shield
Business risks
42. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Ways firms can fail to account for risks
Source of need for risk management
Solvency-related metrics
Capital market line (CML)
43. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Security (primary vs secondary)
Risk
Three main reasons for financial disasters
Options motivation on volatility
44. The lower (closer to - 1) - the higher the payoff from diversification
RAR = relative return of portfolio (RRp)
Correlation coefficient effect on diversification
Traits of ERM
Volatility Market risk
45. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Risk Management Irrelevance Proposition
3 main types of operational risk
Forms of Market risk
Three main reasons for financial disasters
46. 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
Risk types addressed by ERM
Security (primary vs secondary)
APT for passive portfolio management
Valuation vs. Risk management
47. 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
Business risks
Formula for covariance
Zero- beta CAPM (two factor model)
48. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Nonmarketable asset impact on CAPM
Practical considerations related to ERM implementatio
Ways firms can fail to account for risks
VaR - Value at Risk
49. Need to assess risk and tell management so they can determine which risks to take on
Treynor measure
Ways firms can fail to account for risks
Business Risk
Importance of communication for risk managers
50. Expected value of unfavorable deviations of a random variable from a specified target level
Ri = Rz + (gamma)(beta)
Morningstar Rating System
Jensen's alpha
BTR - Below Target Risk
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