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Test your basic knowledge |
FRM: Foundations Of Risk Management
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business-skills
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frm
Instructions:
Answer 50 questions in 15 minutes.
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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. 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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2. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
Settlement risk
Derivative contract
Market imperfections that can create value
3. Market risk - Liquidity risk - Credit risk - Operational risk
Multi- period version of CAPM
Parametric VaR
Four major types of risk
Contango
4. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
CAPM (formula)
Tax shield
Solve for minimum variance portfolio
Zero- beta CAPM (two factor model)
5. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
Debt overhang
Allied Irish Bank
Financial risks
6. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
3 main types of operational risk
Importance of communication for risk managers
Tracking error
VaR - Value at Risk
7. Multibeta CAPM Ri - Rf =
Carry- backs and carry- forwards
3 main types of operational risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Source of need for risk management
8. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Ri = ai + bi1l1 + bi2l2....+ei
Tracking error
Solve for minimum variance portfolio
Risk- adjusted performance measure (RAP)
9. Returns on any stock are linearly related to a set of indexes
Basis risk
Ri = ai + bi1l1 + bi2l2....+ei
CAPM with taxes included (equation)
3 main types of operational risk
10. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Nonmarketable asset impact on CAPM
Correlation coefficient effect on diversification
Recovery rate
RAR = relative return of portfolio (RRp)
11. Inability to make payment obligations (ex. Margin calls)
Funding liquidity risk
APT for passive portfolio management
Business Risk
Risks excluded from operational risk
12. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Where is risk coming from
VaR- based analysis (formula)
What lead to the exponential growth to derivatives mkt?
APT in active portfolio management
13. Asses firm risks - Communicate risks - Manage and monitor risks
What lead to the exponential growth to derivatives mkt?
Roles of risk management
Contango
Ri = Rz + (gamma)(beta)
14. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Roles of risk management
Correlation coefficient effect on diversification
EPD or ECOR - Expected Policyholder Deficit (EPD)
Forms of Market risk
15. 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 -
What lead to the exponential growth to derivatives mkt?
Source of need for risk management
Importance of communication for risk managers
Forms of Market risk
16. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Firms becoming more sensitive to changes(bank deregulation)
Practical considerations related to ERM implementatio
Asset transformers
Correlation coefficient effect on diversification
17. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Volatility Market risk
APT in active portfolio management
BTR - Below Target Risk
Banker's Trust
18. Changes in vol - implied or actual
Ways firms can fail to account for risks
Ri = Rz + (gamma)(beta)
Risk- adjusted performance measure (RAP)
Volatility Market risk
19. Wrong distribution - Historical sample may not apply
What lead to the exponential growth to derivatives mkt?
Risk types addressed by ERM
Ways risk can be mismeasured
Jensen's alpha
20. 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.
Parametric VaR
Information ratio
Performance- related metrics
Risk Management Irrelevance Proposition
21. Probability distribution is unknown (ex. A terrorist attack)
Firms becoming more sensitive to changes(bank deregulation)
Sovereign risk
Shape of portfolio possibilities curve
Uncertainty
22. Risk of loses owing to movements in level or volatility of market prices
Debt overhang
Sortino ratio
Market risk
Recovery rate
23. The uses of debt to fall into a lower tax rate
Tax shield
Expected return of two assets
Jensen's alpha
Contango
24. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Standard deviation of two assets
Derivative contract
Basis
Tax shield
25. 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
Zero- beta CAPM (two factor model)
Shortcomings of risk metrics
Treynor measure
Allied Irish Bank
26. Interest rate movements - derivatives - defaults
Prices of risk vs sensitivity
Credit event
Financial Risk
Jensen's alpha
27. Rp = XaRa + XbRb
Efficient frontier
Formula for covariance
Security (primary vs secondary)
Expected return of two assets
28. Occurs the day when two parties exchange payments same day
Standard deviation of two assets
Asset transformers
Settlement risk
What lead to the exponential growth to derivatives mkt?
29. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Morningstar Rating System
RAR = relative return of portfolio (RRp)
Nonmarketable asset impact on CAPM
CAPM with taxes included (equation)
30. Both probability and cost of tail events are considered
Jensen's alpha
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Tracking error
Multi- period version of CAPM
31. Potential amount that can be lost
Credit event
Models used in ERM framework
Zero- beta CAPM (two factor model)
Exposure
32. 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
EPD or ECOR - Expected Policyholder Deficit (EPD)
Probability of ruin
Nonmarketable asset impact on CAPM
Credit event
33. Curve must be concave - Straight line connecting any two points must be under the curve
Basis
Information ratio
Shape of portfolio possibilities curve
CAPM (formula)
34. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Exposure
Market imperfections that can create value
Options motivation on volatility
Tracking error
35. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
CAPM (formula)
Sortino ratio
APT for passive portfolio management
36. CAPM requires the strong form of the Efficient Market Hypothesis = private information
CAPM assumption for EMH
Nonparametric VaR
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Ways risk can be mismeasured
37. Return is linearly related to growth rate in consumption
Sortino ratio
Zero- beta CAPM (two factor model)
Exposure
Multi- period version of CAPM
38. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Expected return of two assets
Debt overhang
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
3 main types of operational risk
39. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Where is risk coming from
Differences in financial risk management for financial companies vs industrial companies
Basis
Shortcomings of risk metrics
40. When two payments are exchanged the same day and one party may default after payment is made
Three main reasons for financial disasters
Settlement risk
VaR - Value at Risk
APT in active portfolio management
41. Quantile of a statistical distribution
Capital market line (CML)
Parametric VaR
Risk
Standard deviation of two assets
42. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Solve for minimum variance portfolio
Effect of non- price- taking behavior on CAPM
Performance- related metrics
Ri = Rz + (gamma)(beta)
43. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solve for minimum variance portfolio
EPD or ECOR - Expected Policyholder Deficit (EPD)
Carry- backs and carry- forwards
Solvency-related metrics
44. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Solve for minimum variance portfolio
Traits of ERM
CAPM assumption for EMH
Risk
45. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Capital market line (CML)
Nonmarketable asset impact on CAPM
VaR- based analysis (formula)
46. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Shape of portfolio possibilities curve
Kidder Peabody
Nonmarketable asset impact on CAPM
VaR- based analysis (formula)
47. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Debt overhang
Recovery rate
Credit event
Morningstar Rating System
48. Absolute and relative risk - direction and non-directional
Ways firms can fail to account for risks
Expected return of two assets
Forms of Market risk
Ri = ai + bi1l1 + bi2l2....+ei
49. Losses due to market activities ex. Interest rate changes or defaults
What lead to the exponential growth to derivatives mkt?
Financial risks
Shortcomings of risk metrics
CAPM assumption for EMH
50. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
VaR - Value at Risk
Risks excluded from operational risk
Effect of non- price- taking behavior on CAPM
Ways firms can fail to account for risks