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Test your basic knowledge |
FRM: Foundations Of Risk Management
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business-skills
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frm
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Answer
50
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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. 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 -
Formula for covariance
Effect of heterogeneous expectations on CAPM
Source of need for risk management
Information ratio
2. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Solve for minimum variance portfolio
APT in active portfolio management
Basis
Jensen's alpha
3. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Four major types of risk
Market imperfections that can create value
Ri = ai + bi1l1 + bi2l2....+ei
Differences in financial risk management for financial companies vs industrial companies
4. 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
Contango
Barings
Standard deviation of two assets
3 main types of operational risk
5. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Nonmarketable asset impact on CAPM
Asset transformers
Drysdale Securities (Chase Manhattan)
Basis risk
6. 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.
VaR - Value at Risk
Valuation vs. Risk management
Risk Management Irrelevance Proposition
Models used in ERM framework
7. Quantile of an empirical distribution
Operational risk
Business Risk
Risk types addressed by ERM
Nonparametric VaR
8. Rp = XaRa + XbRb
Effect of heterogeneous expectations on CAPM
RAR = relative return of portfolio (RRp)
Expected return of two assets
Practical considerations related to ERM implementatio
9. 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
Probability of ruin
BTR - Below Target Risk
LTCM
EPD or ECOR - Expected Policyholder Deficit (EPD)
10. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
LTCM
Carry- backs and carry- forwards
Settlement risk
Nonmarketable asset impact on CAPM
11. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Standard deviation of two assets
Tax shield
Differences in financial risk management for financial companies vs industrial companies
Allied Irish Bank
12. 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
Shortcomings of risk metrics
Settlement risk
BTR - Below Target Risk
Practical considerations related to ERM implementatio
13. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Risk- adjusted performance measure (RAP)
Market imperfections that can create value
Security (primary vs secondary)
Market risk
14. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
VaR - Value at Risk
Security (primary vs secondary)
RAR = relative return of portfolio (RRp)
15. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Roles of risk management
EPD or ECOR - Expected Policyholder Deficit (EPD)
Ways risk can be mismeasured
Morningstar Rating System
16. Concave function that extends from minimum variance portfolio to maximum return portfolio
Efficient frontier
Operational risk
Traits of ERM
Multi- period version of CAPM
17. 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
18. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Ri = Rz + (gamma)(beta)
Recovery rate
Tax shield
Debt overhang
19. Strategic risk - Business risk - Reputational risk
Three main reasons for financial disasters
Standard deviation of two assets
Risks excluded from operational risk
Financial Risk
20. Multibeta CAPM Ri - Rf =
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Formula for covariance
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Four major types of risk
21. Asset-liability/market-liquidity risk
Correlation coefficient effect on diversification
LTCM
Volatility Market risk
Liquidity risk
22. Need to assess risk and tell management so they can determine which risks to take on
Tax shield
Risk
Asset liquidity risk
Importance of communication for risk managers
23. The lower (closer to - 1) - the higher the payoff from diversification
Correlation coefficient effect on diversification
Traits of ERM
APT for passive portfolio management
3 main types of operational risk
24. 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)
APT in active portfolio management
Information ratio
APT (equation and assumptions)
25. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Correlation coefficient effect on diversification
Multi- period version of CAPM
3 main types of operational risk
Credit event
26. The uses of debt to fall into a lower tax rate
Tax shield
Solvency-related metrics
Firms becoming more sensitive to changes(bank deregulation)
Morningstar Rating System
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
Capital market line (CML)
Carry- backs and carry- forwards
APT for passive portfolio management
RAR = relative return of portfolio (RRp)
28. 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
Market imperfections that can create value
Parametric VaR
Volatility Market risk
29. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Asset transformers
3 main types of operational risk
Valuation vs. Risk management
Ri = Rz + (gamma)(beta)
30. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
31. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Efficient frontier
Volatility Market risk
Models used in ERM framework
Ri = Rz + (gamma)(beta)
32. Returns on any stock are linearly related to a set of indexes
Ri = ai + bi1l1 + bi2l2....+ei
Efficient frontier
Banker's Trust
Basis risk
33. The need to hedge against risks - for firms need to speculate.
Performance- related metrics
Shape of portfolio possibilities curve
Solvency-related metrics
What lead to the exponential growth to derivatives mkt?
34. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Recovery rate
What lead to the exponential growth to derivatives mkt?
Where is risk coming from
CAPM assumption for EMH
35. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Risk
Sharpe measure
Risk types addressed by ERM
Funding liquidity risk
36. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Firms becoming more sensitive to changes(bank deregulation)
Solve for minimum variance portfolio
Where is risk coming from
CAPM with taxes included (equation)
37. 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
Parametric VaR
Volatility Market risk
APT (equation and assumptions)
Traits of ERM
38. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Nonparametric VaR
Derivative contract
Options motivation on volatility
Financial risks
39. Volatility of unexpected outcomes
Asset liquidity risk
Zero- beta CAPM (two factor model)
Nonparametric VaR
Risk
40. Unanticipated movements in relative prices of assets in hedged position
Basic Market risk
Importance of communication for risk managers
LTCM
Risk
41. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
Asset liquidity risk
Business Risk
Parametric VaR
42. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Liquidity risk
Information ratio
Multi- period version of CAPM
Traits of ERM
43. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solvency-related metrics
Standard deviation of two assets
Firms becoming more sensitive to changes(bank deregulation)
Performance- related metrics
44. Derives value from an underlying asset - rate - or index - Derives value from a security
Basic Market risk
Derivative contract
Business risks
Sharpe measure
45. Wrong distribution - Historical sample may not apply
Expected return of two assets
Practical considerations related to ERM implementatio
Ways risk can be mismeasured
Business Risk
46. Probability that a random variable falls below a specified threshold level
Practical considerations related to ERM implementatio
APT (equation and assumptions)
Shortfall risk
LTCM
47. Curve must be concave - Straight line connecting any two points must be under the curve
Debt overhang
Shape of portfolio possibilities curve
Ri = Rz + (gamma)(beta)
APT for passive portfolio management
48. 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
Market imperfections that can create value
Solve for minimum variance portfolio
Treynor measure
49. Both probability and cost of tail events are considered
Risk Management Irrelevance Proposition
Jensen's alpha
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Solvency-related metrics
50. 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
Valuation vs. Risk management
Uncertainty
Debt overhang
Effect of non- price- taking behavior on CAPM