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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. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
CAPM with taxes included (equation)
Tracking error
Solve for minimum variance portfolio
Ways risk can be mismeasured
2. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
VaR- based analysis (formula)
Sovereign risk
3 main types of operational risk
Settlement risk
3. Risk of loses owing to movements in level or volatility of market prices
Contango
Derivative contract
Market risk
Roles of risk management
4. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Sortino ratio
Kidder Peabody
Risk types addressed by ERM
Shortcomings of risk metrics
5. Occurs the day when two parties exchange payments same day
BTR - Below Target Risk
Settlement risk
Financial Risk
Uncertainty
6. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Risk Management Irrelevance Proposition
Effect of heterogeneous expectations on CAPM
Risk
Probability of ruin
7. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solvency-related metrics
Parametric VaR
Multi- period version of CAPM
Valuation vs. Risk management
8. Volatility of unexpected outcomes
Kidder Peabody
EPD or ECOR - Expected Policyholder Deficit (EPD)
Risk
Nonmarketable asset impact on CAPM
9. Hazard - Financial - Operational - Strategic
Options motivation on volatility
Allied Irish Bank
Risk types addressed by ERM
APT (equation and assumptions)
10. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Ways risk can be mismeasured
Credit event
Three main reasons for financial disasters
Options motivation on volatility
11. 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
Standard deviation of two assets
Traits of ERM
Forms of Market risk
Drysdale Securities (Chase Manhattan)
12. 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
Importance of communication for risk managers
VaR - Value at Risk
Asset transformers
LTCM
13. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Where is risk coming from
Nonmarketable asset impact on CAPM
Source of need for risk management
Efficient frontier
14. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Business Risk
Zero- beta CAPM (two factor model)
Importance of communication for risk managers
Standard deviation of two assets
15. Return is linearly related to growth rate in consumption
Multi- period version of CAPM
Asset transformers
Allied Irish Bank
Efficient frontier
16. Absolute and relative risk - direction and non-directional
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Carry- backs and carry- forwards
Forms of Market risk
Risk types addressed by ERM
17. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Prices of risk vs sensitivity
CAPM (formula)
Liquidity risk
Settlement risk
18. Probability distribution is unknown (ex. A terrorist attack)
Uncertainty
Shortcomings of risk metrics
Financial risks
Business risks
19. 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
Sharpe measure
Valuation vs. Risk management
Traits of ERM
Risks excluded from operational risk
20. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Credit event
Volatility Market risk
Asset liquidity risk
Operational risk
21. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
CAPM with taxes included (equation)
Efficient frontier
Allied Irish Bank
Ri = Rz + (gamma)(beta)
22. Prices of risk are common factors and do not change - Sensitivities can change
Prices of risk vs sensitivity
Exposure
Source of need for risk management
BTR - Below Target Risk
23. 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
Jensen's alpha
Settlement risk
Probability of ruin
Barings
24. Quantile of a statistical distribution
Effect of heterogeneous expectations on CAPM
Sharpe measure
Parametric VaR
Traits of ERM
25. Expected value of unfavorable deviations of a random variable from a specified target level
Efficient frontier
Basis risk
BTR - Below Target Risk
Financial risks
26. The lower (closer to - 1) - the higher the payoff from diversification
Forms of Market risk
Security (primary vs secondary)
Barings
Correlation coefficient effect on diversification
27. Losses due to market activities ex. Interest rate changes or defaults
Settlement risk
Ten assumptions underlying CAPM
Settlement risk
Financial risks
28. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
BTR - Below Target Risk
LTCM
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Debt overhang
29. Derives value from an underlying asset - rate - or index - Derives value from a security
Tax shield
Security (primary vs secondary)
Derivative contract
Shortcomings of risk metrics
30. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Nonmarketable asset impact on CAPM
Three main reasons for financial disasters
Prices of risk vs sensitivity
Debt overhang
31. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Banker's Trust
Effect of non- price- taking behavior on CAPM
Allied Irish Bank
BTR - Below Target Risk
32. 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
Ri = Rz + (gamma)(beta)
Business Risk
VaR- based analysis (formula)
Ways risk can be mismeasured
33. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Three main reasons for financial disasters
APT (equation and assumptions)
Business risks
Shortfall risk
34. Rp = XaRa + XbRb
Barings
Operational risk
Expected return of two assets
Shortfall risk
35. Law of one price - Homogeneous expectations - Security returns process
APT (equation and assumptions)
Risk- adjusted performance measure (RAP)
Models used in ERM framework
Ways firms can fail to account for risks
36. 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
Carry- backs and carry- forwards
Ten assumptions underlying CAPM
BTR - Below Target Risk
Funding liquidity risk
37. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Recovery rate
Asset transformers
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
VaR- based analysis (formula)
38. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
Financial Risk
Volatility Market risk
Solve for minimum variance portfolio
39. Potential amount that can be lost
Settlement risk
Basis
Traits of ERM
Exposure
40. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Kidder Peabody
EPD or ECOR - Expected Policyholder Deficit (EPD)
APT in active portfolio management
Tax shield
41. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Risk- adjusted performance measure (RAP)
Solvency-related metrics
Market imperfections that can create value
Source of need for risk management
42. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Financial Risk
Prices of risk vs sensitivity
Expected return of two assets
Tracking error
43. 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
Credit event
Sovereign risk
Kidder Peabody
Recovery rate
44. Quantile of an empirical distribution
Nonparametric VaR
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Ways risk can be mismeasured
Security (primary vs secondary)
45. 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.
RAR = relative return of portfolio (RRp)
Risk Management Irrelevance Proposition
EPD or ECOR - Expected Policyholder Deficit (EPD)
Funding liquidity risk
46. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Solvency-related metrics
Basic Market risk
Three main reasons for financial disasters
Asset transformers
47. Probability that a random variable falls below a specified threshold level
Drysdale Securities (Chase Manhattan)
Information ratio
Capital market line (CML)
Shortfall risk
48. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Information ratio
EPD or ECOR - Expected Policyholder Deficit (EPD)
Roles of risk management
Risks excluded from operational risk
49. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Banker's Trust
3 main types of operational risk
Risk
Differences in financial risk management for financial companies vs industrial companies
50. Interest rate movements - derivatives - defaults
VaR - Value at Risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Financial Risk
Solve for minimum variance portfolio