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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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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. 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
Capital market line (CML)
Risks excluded from operational risk
Differences in financial risk management for financial companies vs industrial companies
Effect of heterogeneous expectations on CAPM
2. 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
Parametric VaR
Contango
Nonparametric VaR
3. Designate ERM champion - usually CRO - Make ERM part of firm culture - Determining all possible risks - Quantifying operational and strategic risks - Integrating risks (dependencies) - Lack of risk transfer mechanisms - Monitoring
CAPM with taxes included (equation)
Forms of Market risk
Practical considerations related to ERM implementatio
Risk Management Irrelevance Proposition
4. Unanticipated movements in relative prices of assets in hedged position
Derivative contract
Correlation coefficient effect on diversification
Volatility Market risk
Basic Market risk
5. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Solve for minimum variance portfolio
Business risks
Effect of non- price- taking behavior on CAPM
Tail VaR or TCE - Tail Conditional Expectation(TCE)
6. 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
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Carry- backs and carry- forwards
Capital market line (CML)
7. Absolute and relative risk - direction and non-directional
Forms of Market risk
Capital market line (CML)
Basic Market risk
Information ratio
8. The uses of debt to fall into a lower tax rate
Differences in financial risk management for financial companies vs industrial companies
Practical considerations related to ERM implementatio
Tax shield
Tail VaR or TCE - Tail Conditional Expectation(TCE)
9. 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
Ten assumptions underlying CAPM
APT in active portfolio management
RAR = relative return of portfolio (RRp)
Importance of communication for risk managers
10. Need to assess risk and tell management so they can determine which risks to take on
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Operational risk
Treynor measure
Importance of communication for risk managers
11. Occurs the day when two parties exchange payments same day
Zero- beta CAPM (two factor model)
Jensen's alpha
Risk
Settlement risk
12. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Basis risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Options motivation on volatility
Parametric VaR
13. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Probability of ruin
Expected return of two assets
Tax shield
14. The need to hedge against risks - for firms need to speculate.
What lead to the exponential growth to derivatives mkt?
Three main reasons for financial disasters
Ways risk can be mismeasured
Efficient frontier
15. Quantile of a statistical distribution
Parametric VaR
Exposure
Financial risks
Probability of ruin
16. Probability that a random variable falls below a specified threshold level
Shortfall risk
Morningstar Rating System
Banker's Trust
Shape of portfolio possibilities curve
17. Asses firm risks - Communicate risks - Manage and monitor risks
Source of need for risk management
Roles of risk management
Credit event
Sovereign risk
18. When two payments are exchanged the same day and one party may default after payment is made
Sovereign risk
Recovery rate
Settlement risk
Ten assumptions underlying CAPM
19. Firms became multinational - - >watched xchange rates more - deregulation and globalization
CAPM with taxes included (equation)
Financial Risk
Firms becoming more sensitive to changes(bank deregulation)
Standard deviation of two assets
20. Future price is greater than the spot price
Risks excluded from operational risk
Information ratio
VaR - Value at Risk
Contango
21. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Performance- related metrics
Derivative contract
Ten assumptions underlying CAPM
Zero- beta CAPM (two factor model)
22. 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
APT (equation and assumptions)
Kidder Peabody
Carry- backs and carry- forwards
LTCM
23. Losses due to market activities ex. Interest rate changes or defaults
Financial risks
Information ratio
Ri = ai + bi1l1 + bi2l2....+ei
Financial Risk
24. Quantile of an empirical distribution
APT (equation and assumptions)
Nonparametric VaR
APT in active portfolio management
Solvency-related metrics
25. Modeling approach is typically between statistical analytic models and structural simulation models
Zero- beta CAPM (two factor model)
Debt overhang
Models used in ERM framework
LTCM
26. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Banker's Trust
Zero- beta CAPM (two factor model)
Standard deviation of two assets
Treynor measure
27. The lower (closer to - 1) - the higher the payoff from diversification
Morningstar Rating System
Where is risk coming from
Sharpe measure
Correlation coefficient effect on diversification
28. Asset-liability/market-liquidity risk
Market imperfections that can create value
APT in active portfolio management
Ri = ai + bi1l1 + bi2l2....+ei
Liquidity risk
29. 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
Differences in financial risk management for financial companies vs industrial companies
Drysdale Securities (Chase Manhattan)
Parametric VaR
Risk Management Irrelevance Proposition
30. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Kidder Peabody
Ways firms can fail to account for risks
APT in active portfolio management
Sharpe measure
31. Expected value of unfavorable deviations of a random variable from a specified target level
Prices of risk vs sensitivity
Four major types of risk
BTR - Below Target Risk
3 main types of operational risk
32. Relative portfolio risk (RRiskp) - Based on a one- month investment period
RAR = relative return of portfolio (RRp)
Risk
Tax shield
Carry- backs and carry- forwards
33. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Where is risk coming from
EPD or ECOR - Expected Policyholder Deficit (EPD)
Ri = ai + bi1l1 + bi2l2....+ei
Credit event
34. 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- adjusted performance measure (RAP)
Valuation vs. Risk management
Shortfall risk
Contango
35. Inability to make payment obligations (ex. Margin calls)
CAPM assumption for EMH
Debt overhang
Asset transformers
Funding liquidity risk
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
Risks excluded from operational risk
Probability of ruin
Source of need for risk management
Shortcomings of risk metrics
37. Probability distribution is unknown (ex. A terrorist attack)
Market imperfections that can create value
Asset transformers
Uncertainty
Roles of risk management
38. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Contango
Sharpe measure
Traits of ERM
Standard deviation of two assets
39. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
CAPM (formula)
Effect of heterogeneous expectations on CAPM
Solve for minimum variance portfolio
Basis
40. Concave function that extends from minimum variance portfolio to maximum return portfolio
Market risk
Asset liquidity risk
Efficient frontier
Information ratio
41. 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
Ways firms can fail to account for risks
Morningstar Rating System
RAR = relative return of portfolio (RRp)
Risk
42. Risk of loses owing to movements in level or volatility of market prices
Exposure
Security (primary vs secondary)
Market risk
Contango
43. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Risk- adjusted performance measure (RAP)
Risk
Practical considerations related to ERM implementatio
Information ratio
44. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Recovery rate
Financial Risk
Tracking error
Carry- backs and carry- forwards
45. Potential amount that can be lost
Exposure
Morningstar Rating System
Financial Risk
Drysdale Securities (Chase Manhattan)
46. Volatility of unexpected outcomes
Asset liquidity risk
RAR = relative return of portfolio (RRp)
Effect of heterogeneous expectations on CAPM
Risk
47. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Risk Management Irrelevance Proposition
Tail VaR or TCE - Tail Conditional Expectation(TCE)
3 main types of operational risk
APT (equation and assumptions)
48. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Importance of communication for risk managers
LTCM
Shape of portfolio possibilities curve
Ri = Rz + (gamma)(beta)
49. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Operational risk
Sovereign risk
Carry- backs and carry- forwards
Settlement risk
50. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Expected return of two assets
Risk
Debt overhang
3 main types of operational risk