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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.
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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. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Derivative contract
Correlation coefficient effect on diversification
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Ri = Rz + (gamma)(beta)
2. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Shortfall risk
Tracking error
Basis
APT (equation and assumptions)
3. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Risk- adjusted performance measure (RAP)
Valuation vs. Risk management
Capital market line (CML)
Nonmarketable asset impact on CAPM
4. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Sharpe measure
Treynor measure
APT in active portfolio management
Shortcomings of risk metrics
5. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Business risks
Four major types of risk
CAPM (formula)
Recovery rate
6. 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
Efficient frontier
Operational risk
Capital market line (CML)
Solvency-related metrics
7. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Risk Management Irrelevance Proposition
Business Risk
Treynor measure
RAR = relative return of portfolio (RRp)
8. Interest rate movements - derivatives - defaults
Information ratio
Financial Risk
Security (primary vs secondary)
Risk Management Irrelevance Proposition
9. 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
Market risk
Shortcomings of risk metrics
Practical considerations related to ERM implementatio
What lead to the exponential growth to derivatives mkt?
10. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Operational risk
Ways risk can be mismeasured
Jensen's alpha
3 main types of operational risk
11. When two payments are exchanged the same day and one party may default after payment is made
Settlement risk
Financial Risk
Information ratio
Nonmarketable asset impact on CAPM
12. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Sortino ratio
Risks excluded from operational risk
Forms of Market risk
Importance of communication for risk managers
13. CAPM requires the strong form of the Efficient Market Hypothesis = private information
CAPM assumption for EMH
Zero- beta CAPM (two factor model)
Sovereign risk
Risk Management Irrelevance Proposition
14. 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
15. Strategic risk - Business risk - Reputational risk
Risks excluded from operational risk
Traits of ERM
Capital market line (CML)
Financial Risk
16. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Morningstar Rating System
Solve for minimum variance portfolio
Treynor measure
Nonparametric VaR
17. Absolute and relative risk - direction and non-directional
Liquidity risk
Forms of Market risk
Business Risk
Models used in ERM framework
18. 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)
Treynor measure
BTR - Below Target Risk
Financial Risk
19. Wrong distribution - Historical sample may not apply
Operational risk
CAPM with taxes included (equation)
Ways risk can be mismeasured
Uncertainty
20. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Drysdale Securities (Chase Manhattan)
Asset transformers
Funding liquidity risk
Probability of ruin
21. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Multi- period version of CAPM
Uncertainty
Debt overhang
Three main reasons for financial disasters
22. Rp = XaRa + XbRb
Source of need for risk management
Expected return of two assets
Shortfall risk
Risk Management Irrelevance Proposition
23. 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
APT in active portfolio management
Solve for minimum variance portfolio
Debt overhang
Kidder Peabody
24. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Four major types of risk
Where is risk coming from
Security (primary vs secondary)
Asset liquidity risk
25. Market risk - Liquidity risk - Credit risk - Operational risk
Carry- backs and carry- forwards
Four major types of risk
Treynor measure
Financial risks
26. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Source of need for risk management
Credit event
Financial risks
Three main reasons for financial disasters
27. Changes in vol - implied or actual
Volatility Market risk
CAPM with taxes included (equation)
Basic Market risk
Efficient frontier
28. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
VaR - Value at Risk
Four major types of risk
Sharpe measure
Uncertainty
29. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Three main reasons for financial disasters
CAPM with taxes included (equation)
Probability of ruin
APT for passive portfolio management
30. 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
Multi- period version of CAPM
Carry- backs and carry- forwards
Risk
31. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Shortfall risk
Performance- related metrics
Models used in ERM framework
Traits of ERM
32. 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 -
Derivative contract
Probability of ruin
Source of need for risk management
Capital market line (CML)
33. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Carry- backs and carry- forwards
Tracking error
Settlement risk
Multi- period version of CAPM
34. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Nonparametric VaR
Firms becoming more sensitive to changes(bank deregulation)
Prices of risk vs sensitivity
Options motivation on volatility
35. The uses of debt to fall into a lower tax rate
Tax shield
Barings
Derivative contract
What lead to the exponential growth to derivatives mkt?
36. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
Liquidity risk
Allied Irish Bank
Shortcomings of risk metrics
37. Multibeta CAPM Ri - Rf =
Ri = ai + bi1l1 + bi2l2....+ei
APT (equation and assumptions)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Funding liquidity risk
38. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Performance- related metrics
BTR - Below Target Risk
Debt overhang
39. 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
Debt overhang
Liquidity risk
Ten assumptions underlying CAPM
Effect of non- price- taking behavior on CAPM
40. Concave function that extends from minimum variance portfolio to maximum return portfolio
Exposure
Shortfall risk
Efficient frontier
Recovery rate
41. 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
Prices of risk vs sensitivity
Debt overhang
Valuation vs. Risk management
42. 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
Effect of heterogeneous expectations on CAPM
Zero- beta CAPM (two factor model)
Barings
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
43. Returns on any stock are linearly related to a set of indexes
Settlement risk
Ri = ai + bi1l1 + bi2l2....+ei
Treynor measure
CAPM with taxes included (equation)
44. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Expected return of two assets
Differences in financial risk management for financial companies vs industrial companies
Importance of communication for risk managers
Valuation vs. Risk management
45. 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.
EPD or ECOR - Expected Policyholder Deficit (EPD)
Firms becoming more sensitive to changes(bank deregulation)
Risk Management Irrelevance Proposition
APT (equation and assumptions)
46. Risk of loses owing to movements in level or volatility of market prices
Market imperfections that can create value
Market risk
LTCM
VaR- based analysis (formula)
47. Potential amount that can be lost
Exposure
Derivative contract
Morningstar Rating System
Recovery rate
48. Probability that a random variable falls below a specified threshold level
Allied Irish Bank
Shortfall risk
Kidder Peabody
Sharpe measure
49. The need to hedge against risks - for firms need to speculate.
Market risk
Asset liquidity risk
What lead to the exponential growth to derivatives mkt?
Liquidity risk
50. Law of one price - Homogeneous expectations - Security returns process
APT (equation and assumptions)
CAPM (formula)
VaR- based analysis (formula)
Drysdale Securities (Chase Manhattan)