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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. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Kidder Peabody
Volatility Market risk
Zero- beta CAPM (two factor model)
Standard deviation of two assets
2. Leeson took large speculative position in Nikkei 225 disguised as safe transactions by fake customers - Earthquake increased volatility and destroyed short put options - Losses of 1.25 billion and forced bankruptcy - Necessity of an independent tradi
Differences in financial risk management for financial companies vs industrial companies
Barings
APT in active portfolio management
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
3. Occurs the day when two parties exchange payments same day
Basis
Settlement risk
Options motivation on volatility
Kidder Peabody
4. 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
Business risks
Ten assumptions underlying CAPM
Security (primary vs secondary)
Basis
5. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Models used in ERM framework
Solvency-related metrics
Basis
VaR- based analysis (formula)
6. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
What lead to the exponential growth to derivatives mkt?
Standard deviation of two assets
Efficient frontier
Recovery rate
7. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Nonparametric VaR
Roles of risk management
Standard deviation of two assets
Firms becoming more sensitive to changes(bank deregulation)
8. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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9. 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
APT in active portfolio management
Capital market line (CML)
CAPM assumption for EMH
CAPM with taxes included (equation)
10. The uses of debt to fall into a lower tax rate
Tracking error
Tax shield
Valuation vs. Risk management
CAPM assumption for EMH
11. Changes in vol - implied or actual
Settlement risk
Volatility Market risk
What lead to the exponential growth to derivatives mkt?
Expected return of two assets
12. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Contango
Business Risk
Market imperfections that can create value
Sovereign risk
13. 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
Ways firms can fail to account for risks
Valuation vs. Risk management
CAPM (formula)
CAPM assumption for EMH
14. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Drysdale Securities (Chase Manhattan)
Asset transformers
Sortino ratio
Sharpe measure
15. Potential amount that can be lost
BTR - Below Target Risk
Settlement risk
Shape of portfolio possibilities curve
Exposure
16. Losses due to market activities ex. Interest rate changes or defaults
Solve for minimum variance portfolio
Business Risk
Financial risks
Basis
17. 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
APT (equation and assumptions)
Traits of ERM
APT for passive portfolio management
Business Risk
18. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Carry- backs and carry- forwards
Multi- period version of CAPM
CAPM (formula)
Information ratio
19. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Solvency-related metrics
Risk- adjusted performance measure (RAP)
Treynor measure
Capital market line (CML)
20. Curve must be concave - Straight line connecting any two points must be under the curve
Standard deviation of two assets
Shortcomings of risk metrics
Market imperfections that can create value
Shape of portfolio possibilities curve
21. Both probability and cost of tail events are considered
Ri = ai + bi1l1 + bi2l2....+ei
Settlement risk
Formula for covariance
Tail VaR or TCE - Tail Conditional Expectation(TCE)
22. 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
Capital market line (CML)
Volatility Market risk
Business Risk
Ri = Rz + (gamma)(beta)
23. CAPM requires the strong form of the Efficient Market Hypothesis = private information
CAPM assumption for EMH
3 main types of operational risk
Sovereign risk
Ways risk can be mismeasured
24. Quantile of a statistical distribution
Parametric VaR
Debt overhang
Operational risk
Zero- beta CAPM (two factor model)
25. The lower (closer to - 1) - the higher the payoff from diversification
Settlement risk
Correlation coefficient effect on diversification
APT for passive portfolio management
VaR- based analysis (formula)
26. Quantile of an empirical distribution
RAR = relative return of portfolio (RRp)
Nonparametric VaR
BTR - Below Target Risk
Risk- adjusted performance measure (RAP)
27. 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
EPD or ECOR - Expected Policyholder Deficit (EPD)
APT for passive portfolio management
Jensen's alpha
Efficient frontier
28. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
VaR - Value at Risk
Tracking error
Funding liquidity risk
3 main types of operational risk
29. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Shortfall risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Drysdale Securities (Chase Manhattan)
Performance- related metrics
30. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Nonmarketable asset impact on CAPM
Tax shield
Market risk
Risk
31. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Standard deviation of two assets
Tax shield
Settlement risk
CAPM with taxes included (equation)
32. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
EPD or ECOR - Expected Policyholder Deficit (EPD)
Probability of ruin
Risk
Three main reasons for financial disasters
33. Prices of risk are common factors and do not change - Sensitivities can change
Business risks
3 main types of operational risk
Prices of risk vs sensitivity
Ri = ai + bi1l1 + bi2l2....+ei
34. 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
What lead to the exponential growth to derivatives mkt?
Risk
Shortcomings of risk metrics
Correlation coefficient effect on diversification
35. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
Drysdale Securities (Chase Manhattan)
Solve for minimum variance portfolio
Valuation vs. Risk management
36. 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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37. Market risk - Liquidity risk - Credit risk - Operational risk
Effect of non- price- taking behavior on CAPM
Risk
Settlement risk
Four major types of risk
38. 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
What lead to the exponential growth to derivatives mkt?
Ways firms can fail to account for risks
Practical considerations related to ERM implementatio
Risk Management Irrelevance Proposition
39. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Jensen's alpha
Basic Market risk
VaR - Value at Risk
Market imperfections that can create value
40. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Contango
Credit event
Business risks
Risk
41. Hazard - Financial - Operational - Strategic
CAPM (formula)
APT in active portfolio management
Risk types addressed by ERM
Solvency-related metrics
42. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Options motivation on volatility
Differences in financial risk management for financial companies vs industrial companies
Multi- period version of CAPM
Prices of risk vs sensitivity
43. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Treynor measure
Roles of risk management
Forms of Market risk
Three main reasons for financial disasters
44. Asset-liability/market-liquidity risk
Risks excluded from operational risk
Liquidity risk
Ri = ai + bi1l1 + bi2l2....+ei
Market imperfections that can create value
45. Need to assess risk and tell management so they can determine which risks to take on
Prices of risk vs sensitivity
Importance of communication for risk managers
Source of need for risk management
Tax shield
46. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Debt overhang
Funding liquidity risk
Models used in ERM framework
Settlement risk
47. Absolute and relative risk - direction and non-directional
VaR - Value at Risk
Differences in financial risk management for financial companies vs industrial companies
Forms of Market risk
Uncertainty
48. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Models used in ERM framework
Forms of Market risk
Ways firms can fail to account for risks
49. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Three main reasons for financial disasters
Financial Risk
APT in active portfolio management
VaR- based analysis (formula)
50. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
What lead to the exponential growth to derivatives mkt?
Ways risk can be mismeasured
Jensen's alpha
Credit event