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Test your basic knowledge |
FRM: Foundations Of Risk Management
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business-skills
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certifications
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frm
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
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. Changes in vol - implied or actual
Derivative contract
Ways firms can fail to account for risks
Volatility Market risk
Sharpe measure
2. Hazard - Financial - Operational - Strategic
Risk types addressed by ERM
Settlement risk
Tracking error
EPD or ECOR - Expected Policyholder Deficit (EPD)
3. Market risk - Liquidity risk - Credit risk - Operational risk
Importance of communication for risk managers
Risk
Four major types of risk
Financial risks
4. 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
Traits of ERM
Four major types of risk
CAPM (formula)
Drysdale Securities (Chase Manhattan)
5. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Derivative contract
Practical considerations related to ERM implementatio
Effect of heterogeneous expectations on CAPM
Options motivation on volatility
6. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Traits of ERM
CAPM with taxes included (equation)
Treynor measure
CAPM (formula)
7. Modeling approach is typically between statistical analytic models and structural simulation models
Effect of heterogeneous expectations on CAPM
Sortino ratio
Zero- beta CAPM (two factor model)
Models used in ERM framework
8. Derives value from an underlying asset - rate - or index - Derives value from a security
Exposure
Ways risk can be mismeasured
VaR- based analysis (formula)
Derivative contract
9. Quantile of an empirical distribution
Risk- adjusted performance measure (RAP)
Exposure
Nonparametric VaR
LTCM
10. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
EPD or ECOR - Expected Policyholder Deficit (EPD)
Business Risk
Business risks
CAPM (formula)
11. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Morningstar Rating System
Effect of heterogeneous expectations on CAPM
Risk
Allied Irish Bank
12. 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
Shape of portfolio possibilities curve
Probability of ruin
Effect of heterogeneous expectations on CAPM
Valuation vs. Risk management
13. 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
Sharpe measure
Solve for minimum variance portfolio
Capital market line (CML)
CAPM (formula)
14. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Shortcomings of risk metrics
Risks excluded from operational risk
Sovereign risk
VaR - Value at Risk
15. Losses due to market activities ex. Interest rate changes or defaults
Performance- related metrics
Options motivation on volatility
Financial risks
Ten assumptions underlying CAPM
16. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
APT in active portfolio management
Valuation vs. Risk management
Solvency-related metrics
Shortcomings of risk metrics
17. Quantile of a statistical distribution
Credit event
Parametric VaR
CAPM (formula)
Ri = Rz + (gamma)(beta)
18. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Capital market line (CML)
Practical considerations related to ERM implementatio
Nonmarketable asset impact on CAPM
Basis
19. Expected value of unfavorable deviations of a random variable from a specified target level
Shortcomings of risk metrics
Performance- related metrics
Risk
BTR - Below Target Risk
20. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Banker's Trust
Allied Irish Bank
Firms becoming more sensitive to changes(bank deregulation)
Debt overhang
21. 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
Performance- related metrics
Asset transformers
LTCM
Differences in financial risk management for financial companies vs industrial companies
22. Absolute and relative risk - direction and non-directional
Prices of risk vs sensitivity
Tail VaR or TCE - Tail Conditional Expectation(TCE)
APT for passive portfolio management
Forms of Market risk
23. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Prices of risk vs sensitivity
Financial Risk
Three main reasons for financial disasters
Settlement risk
24. 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
Models used in ERM framework
Probability of ruin
BTR - Below Target Risk
APT (equation and assumptions)
25. CAPM requires the strong form of the Efficient Market Hypothesis = private information
CAPM assumption for EMH
Risk types addressed by ERM
Market risk
APT in active portfolio management
26. Need to assess risk and tell management so they can determine which risks to take on
Expected return of two assets
Risk types addressed by ERM
Importance of communication for risk managers
CAPM (formula)
27. The lower (closer to - 1) - the higher the payoff from diversification
Shortfall risk
Settlement risk
Correlation coefficient effect on diversification
Prices of risk vs sensitivity
28. 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
Nonparametric VaR
Shortfall risk
Shortcomings of risk metrics
Capital market line (CML)
29. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Jensen's alpha
Risk types addressed by ERM
Business risks
Firms becoming more sensitive to changes(bank deregulation)
30. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Zero- beta CAPM (two factor model)
Effect of non- price- taking behavior on CAPM
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Forms of Market risk
31. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Risk Management Irrelevance Proposition
APT in active portfolio management
Business Risk
Security (primary vs secondary)
32. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Tracking error
Options motivation on volatility
Shape of portfolio possibilities curve
Effect of heterogeneous expectations on CAPM
33. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
EPD or ECOR - Expected Policyholder Deficit (EPD)
Jensen's alpha
Traits of ERM
Kidder Peabody
34. 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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35. Risk of loses owing to movements in level or volatility of market prices
Recovery rate
What lead to the exponential growth to derivatives mkt?
Multi- period version of CAPM
Market risk
36. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Correlation coefficient effect on diversification
Settlement risk
APT for passive portfolio management
Standard deviation of two assets
37. Asset-liability/market-liquidity risk
Market risk
Liquidity risk
RAR = relative return of portfolio (RRp)
VaR - Value at Risk
38. Rp = XaRa + XbRb
Risk types addressed by ERM
Expected return of two assets
APT for passive portfolio management
Barings
39. 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
Barings
Formula for covariance
Business risks
Models used in ERM framework
40. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Four major types of risk
Expected return of two assets
Business Risk
Risk- adjusted performance measure (RAP)
41. Concave function that extends from minimum variance portfolio to maximum return portfolio
Efficient frontier
Prices of risk vs sensitivity
RAR = relative return of portfolio (RRp)
APT for passive portfolio management
42. Wrong distribution - Historical sample may not apply
Basis risk
Three main reasons for financial disasters
APT for passive portfolio management
Ways risk can be mismeasured
43. Covariance = correlation coefficient std dev(a) std dev(b)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Formula for covariance
Options motivation on volatility
Shape of portfolio possibilities curve
44. 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
Efficient frontier
Credit event
Basic Market risk
Ways firms can fail to account for risks
45. Future price is greater than the spot price
Exposure
Contango
Firms becoming more sensitive to changes(bank deregulation)
Business risks
46. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Derivative contract
Basic Market risk
Options motivation on volatility
CAPM (formula)
47. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
Options motivation on volatility
Basic Market risk
Information ratio
48. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ten assumptions underlying CAPM
Ri = Rz + (gamma)(beta)
Treynor measure
Effect of non- price- taking behavior on CAPM
49. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Ten assumptions underlying CAPM
Market imperfections that can create value
Correlation coefficient effect on diversification
Nonmarketable asset impact on CAPM
50. Strategic risk - Business risk - Reputational risk
Zero- beta CAPM (two factor model)
Importance of communication for risk managers
Risks excluded from operational risk
Exposure