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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.
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. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
VaR- based analysis (formula)
Roles of risk management
LTCM
Models used in ERM framework
2. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Capital market line (CML)
Solve for minimum variance portfolio
Credit event
Settlement risk
3. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
Market imperfections that can create value
Drysdale Securities (Chase Manhattan)
Exposure
4. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Settlement risk
Four major types of risk
APT in active portfolio management
Tax shield
5. Interest rate movements - derivatives - defaults
Financial Risk
Business Risk
Carry- backs and carry- forwards
Solvency-related metrics
6. Derives value from an underlying asset - rate - or index - Derives value from a security
Firms becoming more sensitive to changes(bank deregulation)
Derivative contract
Volatility Market risk
Financial Risk
7. Wrong distribution - Historical sample may not apply
Ways risk can be mismeasured
Financial Risk
Tracking error
LTCM
8. 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
Models used in ERM framework
Importance of communication for risk managers
3 main types of operational risk
Valuation vs. Risk management
9. Curve must be concave - Straight line connecting any two points must be under the curve
Models used in ERM framework
Security (primary vs secondary)
Shape of portfolio possibilities curve
EPD or ECOR - Expected Policyholder Deficit (EPD)
10. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Risk Management Irrelevance Proposition
APT (equation and assumptions)
Zero- beta CAPM (two factor model)
Settlement risk
11. 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
Parametric VaR
Capital market line (CML)
Settlement risk
Jensen's alpha
12. The uses of debt to fall into a lower tax rate
Tax shield
Derivative contract
Efficient frontier
Ten assumptions underlying CAPM
13. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Sovereign risk
Solve for minimum variance portfolio
Standard deviation of two assets
Risk Management Irrelevance Proposition
14. 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
Financial Risk
CAPM assumption for EMH
Zero- beta CAPM (two factor model)
15. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Drysdale Securities (Chase Manhattan)
Tax shield
Shape of portfolio possibilities curve
Basis risk
16. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Ri = ai + bi1l1 + bi2l2....+ei
Business Risk
Risk- adjusted performance measure (RAP)
Carry- backs and carry- forwards
17. Probability distribution is unknown (ex. A terrorist attack)
Uncertainty
Nonmarketable asset impact on CAPM
Allied Irish Bank
Ways firms can fail to account for risks
18. Probability that a random variable falls below a specified threshold level
Four major types of risk
CAPM with taxes included (equation)
Efficient frontier
Shortfall risk
19. Market risk - Liquidity risk - Credit risk - Operational risk
Solve for minimum variance portfolio
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Four major types of risk
Barings
20. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Firms becoming more sensitive to changes(bank deregulation)
Roles of risk management
Options motivation on volatility
CAPM with taxes included (equation)
21. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Effect of heterogeneous expectations on CAPM
Settlement risk
CAPM (formula)
APT for passive portfolio management
22. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Nonparametric VaR
Settlement risk
Performance- related metrics
Sortino ratio
23. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Effect of non- price- taking behavior on CAPM
Firms becoming more sensitive to changes(bank deregulation)
Asset liquidity risk
Banker's Trust
24. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Standard deviation of two assets
Market imperfections that can create value
Basis
Effect of heterogeneous expectations on CAPM
25. 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
Ways firms can fail to account for risks
Recovery rate
Kidder Peabody
Sortino ratio
26. Risk of loses owing to movements in level or volatility of market prices
Options motivation on volatility
Risk types addressed by ERM
Prices of risk vs sensitivity
Market risk
27. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Shortfall risk
Contango
Nonmarketable asset impact on CAPM
Ways risk can be mismeasured
28. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Banker's Trust
Debt overhang
Source of need for risk management
Firms becoming more sensitive to changes(bank deregulation)
29. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Financial risks
Asset liquidity risk
Effect of non- price- taking behavior on CAPM
3 main types of operational risk
30. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
Credit event
Market risk
Information ratio
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.
Risk Management Irrelevance Proposition
APT (equation and assumptions)
Practical considerations related to ERM implementatio
Barings
32. Both probability and cost of tail events are considered
Multi- period version of CAPM
Business risks
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Valuation vs. Risk management
33. 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
Performance- related metrics
Recovery rate
Allied Irish Bank
Shortfall risk
34. Law of one price - Homogeneous expectations - Security returns process
Tax shield
Morningstar Rating System
APT (equation and assumptions)
RAR = relative return of portfolio (RRp)
35. Cannot exit position in market due to size of the position
Asset liquidity risk
Operational risk
Jensen's alpha
Financial risks
36. Occurs the day when two parties exchange payments same day
Roles of risk management
Basis risk
Settlement risk
Firms becoming more sensitive to changes(bank deregulation)
37. Inability to make payment obligations (ex. Margin calls)
Asset transformers
Drysdale Securities (Chase Manhattan)
Funding liquidity risk
APT for passive portfolio management
38. Rp = XaRa + XbRb
APT (equation and assumptions)
Security (primary vs secondary)
Funding liquidity risk
Expected return of two assets
39. Future price is greater than the spot price
CAPM (formula)
APT (equation and assumptions)
Contango
Probability of ruin
40. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Standard deviation of two assets
Exposure
What lead to the exponential growth to derivatives mkt?
Performance- related metrics
41. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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42. Covariance = correlation coefficient std dev(a) std dev(b)
Roles of risk management
Formula for covariance
Business Risk
Basis
43. Firms became multinational - - >watched xchange rates more - deregulation and globalization
VaR- based analysis (formula)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Basis
Firms becoming more sensitive to changes(bank deregulation)
44. Quantile of a statistical distribution
EPD or ECOR - Expected Policyholder Deficit (EPD)
Liquidity risk
Shortfall risk
Parametric VaR
45. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
CAPM (formula)
Shortcomings of risk metrics
Valuation vs. Risk management
Practical considerations related to ERM implementatio
46. 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
Shortcomings of risk metrics
Traits of ERM
Risk types addressed by ERM
Shape of portfolio possibilities curve
47. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Risk Management Irrelevance Proposition
CAPM (formula)
VaR - Value at Risk
APT in active portfolio management
48. When two payments are exchanged the same day and one party may default after payment is made
Settlement risk
Three main reasons for financial disasters
Exposure
Derivative contract
49. 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
LTCM
Ways firms can fail to account for risks
Where is risk coming from
VaR - Value at Risk
50. 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 -
Ri = ai + bi1l1 + bi2l2....+ei
Capital market line (CML)
Source of need for risk management
Where is risk coming from
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