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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. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Ways firms can fail to account for risks
Ten assumptions underlying CAPM
Three main reasons for financial disasters
Valuation vs. Risk management
2. The lower (closer to - 1) - the higher the payoff from diversification
Basis
CAPM with taxes included (equation)
Correlation coefficient effect on diversification
Prices of risk vs sensitivity
3. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Business Risk
Information ratio
CAPM assumption for EMH
Business risks
4. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Financial risks
Options motivation on volatility
Drysdale Securities (Chase Manhattan)
Sovereign risk
5. Returns on any stock are linearly related to a set of indexes
Traits of ERM
Formula for covariance
Ri = ai + bi1l1 + bi2l2....+ei
Settlement risk
6. 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
APT for passive portfolio management
Zero- beta CAPM (two factor model)
APT (equation and assumptions)
Debt overhang
7. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Risk
Effect of heterogeneous expectations on CAPM
EPD or ECOR - Expected Policyholder Deficit (EPD)
Uncertainty
8. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Asset liquidity risk
Ri = ai + bi1l1 + bi2l2....+ei
Performance- related metrics
Information ratio
9. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Shortcomings of risk metrics
Ri = ai + bi1l1 + bi2l2....+ei
VaR - Value at Risk
Where is risk coming from
10. The need to hedge against risks - for firms need to speculate.
What lead to the exponential growth to derivatives mkt?
VaR- based analysis (formula)
Solve for minimum variance portfolio
Debt overhang
11. 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
Ri = Rz + (gamma)(beta)
Sovereign risk
LTCM
Ri = ai + bi1l1 + bi2l2....+ei
12. The uses of debt to fall into a lower tax rate
Banker's Trust
Debt overhang
Contango
Tax shield
13. Wrong distribution - Historical sample may not apply
Risks excluded from operational risk
Debt overhang
Market imperfections that can create value
Ways risk can be mismeasured
14. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solvency-related metrics
Probability of ruin
Zero- beta CAPM (two factor model)
Funding liquidity risk
15. Multibeta CAPM Ri - Rf =
Volatility Market risk
Ways firms can fail to account for risks
Jensen's alpha
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
16. Losses due to market activities ex. Interest rate changes or defaults
Security (primary vs secondary)
Risk- adjusted performance measure (RAP)
Financial risks
What lead to the exponential growth to derivatives mkt?
17. Curve must be concave - Straight line connecting any two points must be under the curve
Debt overhang
Expected return of two assets
Shape of portfolio possibilities curve
Probability of ruin
18. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Kidder Peabody
Performance- related metrics
Ten assumptions underlying CAPM
Sharpe measure
19. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Firms becoming more sensitive to changes(bank deregulation)
Liquidity risk
Sovereign risk
Ways firms can fail to account for risks
20. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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21. Prices of risk are common factors and do not change - Sensitivities can change
Allied Irish Bank
Formula for covariance
Prices of risk vs sensitivity
APT for passive portfolio management
22. Both probability and cost of tail events are considered
LTCM
Asset transformers
Funding liquidity risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
23. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
What lead to the exponential growth to derivatives mkt?
Contango
Tax shield
CAPM (formula)
24. 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
Three main reasons for financial disasters
Ten assumptions underlying CAPM
Solvency-related metrics
Performance- related metrics
25. Expected value of unfavorable deviations of a random variable from a specified target level
BTR - Below Target Risk
Risk
Credit event
Shortfall risk
26. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Ways firms can fail to account for risks
Zero- beta CAPM (two factor model)
Treynor measure
APT for passive portfolio management
27. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Tax shield
Solve for minimum variance portfolio
Ways risk can be mismeasured
Risk
28. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
CAPM assumption for EMH
Basic Market risk
Where is risk coming from
Risk- adjusted performance measure (RAP)
29. 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
Sovereign risk
CAPM with taxes included (equation)
Ways firms can fail to account for risks
Treynor measure
30. Probability that a random variable falls below a specified threshold level
VaR - Value at Risk
Risk Management Irrelevance Proposition
Information ratio
Shortfall risk
31. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Volatility Market risk
Expected return of two assets
Market risk
32. When negative taxable income is moved to a different year to offset future or past taxable income
VaR- based analysis (formula)
Practical considerations related to ERM implementatio
Carry- backs and carry- forwards
Models used in ERM framework
33. Inability to make payment obligations (ex. Margin calls)
Drysdale Securities (Chase Manhattan)
Prices of risk vs sensitivity
Basic Market risk
Funding liquidity risk
34. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Business Risk
Basis
Three main reasons for financial disasters
What lead to the exponential growth to derivatives mkt?
35. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Solve for minimum variance portfolio
Basis
CAPM with taxes included (equation)
Allied Irish Bank
36. Modeling approach is typically between statistical analytic models and structural simulation models
Derivative contract
Models used in ERM framework
Asset liquidity risk
Basis
37. Volatility of unexpected outcomes
Basis risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Shortcomings of risk metrics
Risk
38. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Sharpe measure
Risk Management Irrelevance Proposition
RAR = relative return of portfolio (RRp)
Operational risk
39. Changes in vol - implied or actual
Debt overhang
Financial risks
Volatility Market risk
Nonparametric VaR
40. 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
Jensen's alpha
Kidder Peabody
Practical considerations related to ERM implementatio
Forms of Market risk
41. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Performance- related metrics
Risk
Tax shield
3 main types of operational risk
42. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Differences in financial risk management for financial companies vs industrial companies
Market imperfections that can create value
Sharpe measure
Tracking error
43. 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
LTCM
Probability of ruin
Treynor measure
Security (primary vs secondary)
44. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
VaR- based analysis (formula)
Risk Management Irrelevance Proposition
Carry- backs and carry- forwards
EPD or ECOR - Expected Policyholder Deficit (EPD)
45. When two payments are exchanged the same day and one party may default after payment is made
Settlement risk
Exposure
Basis
Solvency-related metrics
46. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Effect of heterogeneous expectations on CAPM
Tracking error
Market imperfections that can create value
Practical considerations related to ERM implementatio
47. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
BTR - Below Target Risk
Barings
Differences in financial risk management for financial companies vs industrial companies
Debt overhang
48. 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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49. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Asset liquidity risk
VaR - Value at Risk
APT (equation and assumptions)
Information ratio
50. Hazard - Financial - Operational - Strategic
Solvency-related metrics
Risk types addressed by ERM
Treynor measure
Risk
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