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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. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Shortfall risk
VaR- based analysis (formula)
Risks excluded from operational risk
Operational risk
2. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
BTR - Below Target Risk
VaR - Value at Risk
Risk
Ri = Rz + (gamma)(beta)
3. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Ways risk can be mismeasured
Zero- beta CAPM (two factor model)
RAR = relative return of portfolio (RRp)
Parametric VaR
4. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Traits of ERM
Information ratio
Ri = ai + bi1l1 + bi2l2....+ei
Standard deviation of two assets
5. Return is linearly related to growth rate in consumption
What lead to the exponential growth to derivatives mkt?
Formula for covariance
Multi- period version of CAPM
Volatility Market risk
6. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Financial risks
Three main reasons for financial disasters
Zero- beta CAPM (two factor model)
Funding liquidity risk
7. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Importance of communication for risk managers
Allied Irish Bank
Traits of ERM
Sharpe measure
8. Firm may ignore known risk - Somebody in firm may know about risk - but it's not captured by models - Realization of a truly unknown risk
VaR- based analysis (formula)
Ways firms can fail to account for risks
Performance- related metrics
Probability of ruin
9. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Kidder Peabody
Ways firms can fail to account for risks
Financial Risk
Credit event
10. Absolute and relative risk - direction and non-directional
Exposure
Forms of Market risk
Morningstar Rating System
Settlement risk
11. Quantile of a statistical distribution
Information ratio
What lead to the exponential growth to derivatives mkt?
Parametric VaR
APT (equation and assumptions)
12. 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
Three main reasons for financial disasters
APT for passive portfolio management
Morningstar Rating System
Expected return of two assets
13. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
CAPM assumption for EMH
APT (equation and assumptions)
Ways firms can fail to account for risks
Solvency-related metrics
14. Returns on any stock are linearly related to a set of indexes
Three main reasons for financial disasters
Firms becoming more sensitive to changes(bank deregulation)
Asset transformers
Ri = ai + bi1l1 + bi2l2....+ei
15. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Solvency-related metrics
Business Risk
CAPM with taxes included (equation)
Models used in ERM framework
16. Inability to make payment obligations (ex. Margin calls)
Solvency-related metrics
Funding liquidity risk
Financial risks
Practical considerations related to ERM implementatio
17. The uses of debt to fall into a lower tax rate
Formula for covariance
VaR - Value at Risk
Expected return of two assets
Tax shield
18. Potential amount that can be lost
Shortfall risk
Exposure
Firms becoming more sensitive to changes(bank deregulation)
Multi- period version of CAPM
19. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Ways risk can be mismeasured
Tracking error
Exposure
Three main reasons for financial disasters
20. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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21. When two payments are exchanged the same day and one party may default after payment is made
3 main types of operational risk
Operational risk
Correlation coefficient effect on diversification
Settlement risk
22. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Recovery rate
Settlement risk
Basic Market risk
Roles of risk management
23. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Standard deviation of two assets
What lead to the exponential growth to derivatives mkt?
Information ratio
3 main types of operational risk
24. 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
What lead to the exponential growth to derivatives mkt?
Nonmarketable asset impact on CAPM
Asset liquidity risk
25. 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 -
Solvency-related metrics
Uncertainty
Source of need for risk management
Basis
26. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Sharpe measure
Information ratio
Models used in ERM framework
Effect of heterogeneous expectations on CAPM
27. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Effect of non- price- taking behavior on CAPM
Performance- related metrics
Expected return of two assets
Nonparametric VaR
28. 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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29. Law of one price - Homogeneous expectations - Security returns process
APT (equation and assumptions)
Derivative contract
Solve for minimum variance portfolio
Multi- period version of CAPM
30. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Probability of ruin
Allied Irish Bank
Operational risk
Standard deviation of two assets
31. The lower (closer to - 1) - the higher the payoff from diversification
Ways risk can be mismeasured
Differences in financial risk management for financial companies vs industrial companies
Business Risk
Correlation coefficient effect on diversification
32. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
3 main types of operational risk
Business Risk
CAPM with taxes included (equation)
Multi- period version of CAPM
33. Expected value of unfavorable deviations of a random variable from a specified target level
APT (equation and assumptions)
Allied Irish Bank
Derivative contract
BTR - Below Target Risk
34. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Security (primary vs secondary)
VaR - Value at Risk
Basis
Prices of risk vs sensitivity
35. Both probability and cost of tail events are considered
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Credit event
Nonparametric VaR
Market risk
36. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Sortino ratio
Morningstar Rating System
Roles of risk management
LTCM
37. Losses due to market activities ex. Interest rate changes or defaults
Solvency-related metrics
Zero- beta CAPM (two factor model)
Importance of communication for risk managers
Financial risks
38. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Basis risk
Derivative contract
Differences in financial risk management for financial companies vs industrial companies
Multi- period version of CAPM
39. Probability distribution is unknown (ex. A terrorist attack)
Volatility Market risk
Uncertainty
Formula for covariance
Risk- adjusted performance measure (RAP)
40. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Basis
Risk types addressed by ERM
Morningstar Rating System
Firms becoming more sensitive to changes(bank deregulation)
41. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Ten assumptions underlying CAPM
Ways risk can be mismeasured
Differences in financial risk management for financial companies vs industrial companies
Debt overhang
42. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
RAR = relative return of portfolio (RRp)
Three main reasons for financial disasters
Options motivation on volatility
Source of need for risk management
43. 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
Correlation coefficient effect on diversification
Differences in financial risk management for financial companies vs industrial companies
Exposure
Ten assumptions underlying CAPM
44. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Basis
Risk Management Irrelevance Proposition
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Solve for minimum variance portfolio
45. Modeling approach is typically between statistical analytic models and structural simulation models
Debt overhang
Drysdale Securities (Chase Manhattan)
Models used in ERM framework
Formula for covariance
46. Volatility of unexpected outcomes
Risk
Roles of risk management
Solve for minimum variance portfolio
Sortino ratio
47. Derives value from an underlying asset - rate - or index - Derives value from a security
APT (equation and assumptions)
Derivative contract
Practical considerations related to ERM implementatio
BTR - Below Target Risk
48. 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
Options motivation on volatility
VaR- based analysis (formula)
Drysdale Securities (Chase Manhattan)
49. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Risk Management Irrelevance Proposition
CAPM assumption for EMH
CAPM with taxes included (equation)
Nonmarketable asset impact on CAPM
50. Multibeta CAPM Ri - Rf =
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
CAPM with taxes included (equation)
Basis risk
CAPM assumption for EMH
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