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Test your basic knowledge |
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.
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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. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Nonparametric VaR
APT (equation and assumptions)
Derivative contract
Sortino ratio
2. Relative portfolio risk (RRiskp) - Based on a one- month investment period
RAR = relative return of portfolio (RRp)
Basis
Ri = Rz + (gamma)(beta)
Business risks
3. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Performance- related metrics
Recovery rate
APT for passive portfolio management
Asset transformers
4. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Zero- beta CAPM (two factor model)
Risk
Options motivation on volatility
APT in active portfolio management
5. Interest rate movements - derivatives - defaults
Tracking error
Settlement risk
Financial Risk
CAPM with taxes included (equation)
6. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Options motivation on volatility
Banker's Trust
Information ratio
Ways firms can fail to account for risks
7. Return is linearly related to growth rate in consumption
Sortino ratio
Risk
Multi- period version of CAPM
Market risk
8. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Forms of Market risk
Differences in financial risk management for financial companies vs industrial companies
Funding liquidity risk
Kidder Peabody
9. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Treynor measure
Debt overhang
Traits of ERM
Risk
10. Derives value from an underlying asset - rate - or index - Derives value from a security
Three main reasons for financial disasters
Multi- period version of CAPM
Derivative contract
Shape of portfolio possibilities curve
11. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Standard deviation of two assets
Prices of risk vs sensitivity
Ten assumptions underlying CAPM
Sharpe measure
12. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Volatility Market risk
Jensen's alpha
Standard deviation of two assets
Zero- beta CAPM (two factor model)
13. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Nonparametric VaR
Source of need for risk management
Debt overhang
Parametric VaR
14. Unanticipated movements in relative prices of assets in hedged position
Forms of Market risk
Basic Market risk
Information ratio
Treynor measure
15. Absolute and relative risk - direction and non-directional
Debt overhang
Forms of Market risk
Market imperfections that can create value
Risk types addressed by ERM
16. Probability that a random variable falls below a specified threshold level
Models used in ERM framework
Shortfall risk
Formula for covariance
Asset liquidity risk
17. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
APT in active portfolio management
Financial Risk
Business risks
Risk- adjusted performance measure (RAP)
18. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
APT in active portfolio management
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Exposure
Settlement risk
19. Strategic risk - Business risk - Reputational risk
Risks excluded from operational risk
Market risk
Nonparametric VaR
Morningstar Rating System
20. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Zero- beta CAPM (two factor model)
Kidder Peabody
Liquidity risk
Volatility Market risk
21. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Tracking error
EPD or ECOR - Expected Policyholder Deficit (EPD)
APT (equation and assumptions)
Kidder Peabody
22. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Carry- backs and carry- forwards
Ri = Rz + (gamma)(beta)
CAPM (formula)
Basis
23. 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
Nonparametric VaR
Shortfall risk
Capital market line (CML)
Market imperfections that can create value
24. Changes in vol - implied or actual
Volatility Market risk
Business risks
Models used in ERM framework
VaR- based analysis (formula)
25. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Market risk
Capital market line (CML)
3 main types of operational risk
Funding liquidity risk
26. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Models used in ERM framework
Tracking error
EPD or ECOR - Expected Policyholder Deficit (EPD)
Risk
27. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Valuation vs. Risk management
Performance- related metrics
Market imperfections that can create value
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
28. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Solve for minimum variance portfolio
Business risks
Volatility Market risk
Ri = ai + bi1l1 + bi2l2....+ei
29. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
CAPM with taxes included (equation)
Three main reasons for financial disasters
Funding liquidity risk
Risk Management Irrelevance Proposition
30. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Probability of ruin
Asset liquidity risk
Market imperfections that can create value
Shortcomings of risk metrics
31. 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.
Prices of risk vs sensitivity
Volatility Market risk
Ways risk can be mismeasured
Risk Management Irrelevance Proposition
32. Losses due to market activities ex. Interest rate changes or defaults
Market risk
VaR- based analysis (formula)
Ways firms can fail to account for risks
Financial risks
33. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
Prices of risk vs sensitivity
Options motivation on volatility
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
34. Both probability and cost of tail events are considered
Tax shield
Source of need for risk management
Settlement risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
35. 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
Probability of ruin
Ways risk can be mismeasured
Risk types addressed by ERM
36. Expected value of unfavorable deviations of a random variable from a specified target level
BTR - Below Target Risk
Efficient frontier
Ways firms can fail to account for risks
Zero- beta CAPM (two factor model)
37. When two payments are exchanged the same day and one party may default after payment is made
Asset transformers
Settlement risk
Kidder Peabody
Ways firms can fail to account for risks
38. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ways risk can be mismeasured
Ri = Rz + (gamma)(beta)
Contango
Business risks
39. The need to hedge against risks - for firms need to speculate.
Contango
VaR - Value at Risk
Ten assumptions underlying CAPM
What lead to the exponential growth to derivatives mkt?
40. Curve must be concave - Straight line connecting any two points must be under the curve
Shape of portfolio possibilities curve
Uncertainty
Financial risks
Business risks
41. Asses firm risks - Communicate risks - Manage and monitor risks
Roles of risk management
Ten assumptions underlying CAPM
Nonparametric VaR
Capital market line (CML)
42. 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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43. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Settlement risk
Asset transformers
Banker's Trust
Liquidity risk
44. Hazard - Financial - Operational - Strategic
RAR = relative return of portfolio (RRp)
Firms becoming more sensitive to changes(bank deregulation)
Risk types addressed by ERM
Where is risk coming from
45. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Ten assumptions underlying CAPM
Security (primary vs secondary)
Operational risk
Ri = Rz + (gamma)(beta)
46. Probability distribution is unknown (ex. A terrorist attack)
Kidder Peabody
Performance- related metrics
Uncertainty
VaR - Value at Risk
47. When negative taxable income is moved to a different year to offset future or past taxable income
Basis risk
Models used in ERM framework
Practical considerations related to ERM implementatio
Carry- backs and carry- forwards
48. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Parametric VaR
Solvency-related metrics
Risk- adjusted performance measure (RAP)
Nonparametric VaR
49. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Operational risk
Effect of heterogeneous expectations on CAPM
Nonparametric VaR
Uncertainty
50. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Jensen's alpha
Basis
Financial Risk
Parametric VaR
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