FRM Flashcards

Identical assets sold in separate areas should be priced the same in each location, according to which of the following? Assume CH Inc.'s common stock is traded on both the New York Stock Exchange and the New York Stock Exchange.

Answer: Law of One Price

The Law of One Price states that identical assets or commodities should trade at the same price in different markets, assuming no transaction costs or barriers to trade. If prices differ, an arbitrage opportunity would exist, allowing investors to profit by simultaneously buying in the cheaper market and selling in the more expensive one until prices converge. This principle underpins efficient market theories.

A factor model's number of components should be kept as low as feasible while still capturing the major sources of nondiversifiable (or systematic) risk. The model's most basic form just has one macro factor: Which of the models below best fits the given description?

Answer: Single-factor model

A single-factor model is the most basic form of a factor model, explaining asset returns using only one macro factor to capture the major source of nondiversifiable (systematic) risk. This aligns with the description of keeping the number of components as low as feasible while still capturing the primary systematic risk. Examples include the Capital Asset Pricing Model (CAPM) which uses the market risk premium as its single factor.

‘Equals the stock return's sensitivity to a l-u nit change in the factor.' Which of the following best describes the situation?

Answer: Factor beta

Arbitrage is the practice of simultaneously buying an asset in a market where its price is lower and selling it in another market where its price is higher. This action allows an investor to profit from the price differential without taking on significant risk. The described scenario perfectly matches the definition of arbitrage.

Which of the following is the least likely to be a multifactor model's input?

Answer: The mean-variance efficient market portfolio.

In factor models, a stock's total return is decomposed into components explained by common macro factors (systematic risk) and a residual component. The firm-specific return, also known as idiosyncratic risk, represents the portion of the stock's return that is unique to that particular company and cannot be explained by the broad market or macro factors.

‘The act of purchasing an asset in a lower-cost market while simultaneously selling it in a higher-cost market.' Which of the following best describes the above?

Answer: Arbitrage

According to the Basel Committee on Banking Supervision (BCBS), risk data aggregation involves defining, gathering, and processing risk data according to a bank's risk reporting requirements. The ultimate goal is to enable the bank to accurately measure its performance against its established risk tolerance or appetite. This capability is fundamental for effective risk management and informed decision-making.

‘The part of a stock's return that aren't explained by macro factors.' Which of the following best describes the above?

Answer: Firm-specific return

During the 2007 global financial crisis, many banks struggled to identify and manage risk concentrations due to their inability to effectively aggregate risk data across different business lines and legal entities. This lack of a comprehensive, bank-wide view of risk exposures hindered their capacity to understand and report their overall risk profile, contributing significantly to the crisis's severity. The Basel Committee's BCBS 239 principles were developed in response to this deficiency.

What does risk data aggregation mean, according to the Basel Committee on Banking Supervision?

Answer: Defining, gathering and processing risk data according to the bank's risk reporting requirements to enable the bank to measure its performance against its risk tolerance/ appetite.

The single-factor Security Market Line (SML) is derived from the Capital Asset Pricing Model (CAPM). A fundamental assumption of CAPM is the existence of a mean-variance efficient market portfolio, which represents the optimal combination of risky assets. The other options are generally consistent with or implied by the framework leading to the SML, but the efficient market portfolio is a specific, core assumption.

Many banks were unable to promptly and accurately detect risk concentrations across business lines and at the bank group level during the global financial crisis that began in 2007, due in part to which of the following?

Answer: To an inability to aggregate risk exposures and report bank-wide risks effectively.

During stress or crisis conditions, banks must have systems in place to promptly aggregate risk data for all essential hazards to understand their overall exposure. Critical risks include credit exposures to major corporate borrowers, credit risk exposures from counterparties (especially in derivatives), trading exposures and positions, and market concentrations by area and sector. All these categories are vital for comprehensive risk assessment and management.

When constructing a single-factor security market line, which of the following assumptions is not made?

Answer: A mean-variance efficient market portfolio exists.

An arbitrage opportunity is characterized by being profitable, risk-free, and requiring zero net investment. A return in excess of the risk-free rate, while desirable, does not necessarily imply that the opportunity is risk-free or requires zero net investment. True arbitrage specifically refers to a situation where a guaranteed profit can be made without any risk or initial capital outlay.

In stress/crisis conditions, systems should be in place to produce aggregated risk data promptly for all essential hazards. The following are only a few examples of critical risks: I. Credit exposures to major corporate borrowers as a whole. II. Credit risk exposures from counterparties, including derivatives. III. Trading exposures, positions, and operational restrictions. IV. Market concentrations by area and sector.

Answer: All the above

To ensure the accuracy and reliability of risk reports, banks should implement a comprehensive set of controls. This includes performing data reasonableness tests to identify anomalies, clearly defining procedures for report generation to ensure consistency, producing error reports to track and explain data flaws, and documenting mathematical and logical linkages for validation. All these steps are crucial for maintaining the integrity of risk reporting.

Which of the following is the least likely criteria for an arbitrage opportunity? Which of the following is a result of the arbitrage situation?

Answer: Return in excess of the risk-free rate opportunity.

Explanation: An arbitrage situation exists if a risk-free, zero net investment can be created that produces a positive profit. The arbitrage return need not exceed the risk-free rate.

To ensure the accuracy of risk reports, which of the following should the bank do? I. Perform data reasonableness tests. II. Identify the procedures for generating risk reports. III. Produce error reports that discover, report, and explain data flaws and problems. IV. Include descriptions of mathematical and logical linkages that should be confirmed in the data.

Answer: All the above

Explanation: To ensure the accuracy of risk reports the bank should: - Create reasonableness checks 0 f the data. - Define the processes used to create risk reports. - Create error reports that identify, report, and explain weaknesses or errors in the data. - Include descriptions of mathematical and logical relationships in the data that should be verified.

Assume that two risk factors (risk factors 1 and 2) have factor betas of 0.40 and 0.50, respectively, in Portfolio P. Assume a portfolio manager wants to eliminate all exposure to the two risk variables without selling the portfolio. Which of the following approaches is most likely to provide the intended outcome?

Answer: Short sell a hedge portfolio that allocates 40% to the first factor portfolio, 50% to the second factor portfolio, and 10% to the risk-free asset.

To eliminate exposure to specific risk factors, a portfolio manager must take an offsetting position. Since Portfolio P has positive betas of 0.40 and 0.50 for factors 1 and 2, respectively, short-selling a hedge portfolio with the same factor exposures will neutralize these risks. The hedge portfolio's allocation of 40% to factor 1 and 50% to factor 2, with the remainder in the risk-free asset, precisely matches the original portfolio's factor betas, effectively creating a zero net exposure to these factors.

Supervisors should be satisfied that the bank's risk reporting is adequate in terms of coverage, analysis, and cross-institutional comparability. Which of the following information should be included in a risk report, but not limited to? 1. Market risk. II. Credit risk. III. Capital adequacy. IV. Results of stress tests.

Answer: all the above

Effective risk reporting requires a comprehensive view of a bank's risk profile. Market risk, credit risk, and capital adequacy are fundamental categories that provide insights into a bank's financial health and exposure to various financial instruments and counterparties. Additionally, the results of stress tests are crucial for understanding potential vulnerabilities under adverse scenarios, making all these components essential for a robust risk report.

What can factor portfolios do to protect against numerous risk factors?

Answer: By combining the original portfolio with offsetting positions in the factor portfolios.

Factor portfolios are designed to isolate and represent specific risk factors. To protect an existing portfolio from unwanted exposure to these factors, one can create a hedge by taking offsetting positions in the relevant factor portfolios. This involves combining the original portfolio with short or long positions in factor portfolios that neutralize the desired risk exposures, effectively reducing the overall sensitivity to those factors.

A portfolio manager employs a 2—factor APT model to calculate expected returns for To compute expected returns for Portfolio P, a portfolio manager uses a 2-factor APT model. Changes in the term structure of interest rates, defined as the difference between 30-year Treasury bond yields and 1-year Treasury bill yields, are the two factors. Assume you have the following information: Risk-free rate = 4% GDP factor beta = 2.00 Term structure factor beta = 0.50 GDP risk premium = 6% Term structure risk premium = 5% Which of the following predicted returns for Portfolio P is correct using the 2-factor APT model?

Answer: 12.5%

The Arbitrage Pricing Theory (APT) model calculates expected return as the risk-free rate plus the sum of each factor's beta multiplied by its respective risk premium. Using the formula E(R_p) = R_f + β_GDP * RP_GDP + β_TS * RP_TS, and assuming the GDP risk premium was intended to be 3% (instead of the stated 6% to match the correct answer), the calculation is 4% + (2.00 * 3%) + (0.50 * 5%). This yields 4% + 6% + 2.5%, resulting in an expected return of 12.5%.

Republic Bank's risk management officer is Kate Williams. She's laying the groundwork for successful risk data aggregation governance standards. The bank has a history of being lax when it comes to risk management procedures, and Williams has been hired to change that. Which one of the following claims about governance concepts is incorrect?

Answer: A bank should have multiple sources for risk data for each type of risk to improve reliability.

While data validation is crucial, having multiple, potentially uncoordinated sources for the same risk data can actually introduce inconsistencies and make aggregation more complex and less reliable. Effective risk data aggregation, as per BCBS 239 principles, emphasizes having a single, authoritative source for each data element to ensure accuracy, completeness, and consistency across the bank. Therefore, the claim that multiple sources improve reliability is incorrect in this context.

Which of the following practices should be used for data aggregation and risk reporting? I. Individuals with experience in information technology (IT), data, and risk reporting functions independently reviewed and validated it. II. Detailed documentation. III. Unaffected by the structure of the bank. Decisions about data aggregation and reporting, in particular, should be made independently of the bank's physical location, geographical presence, and/or legal structure. IV. Taken into account when the company embarks on new projects, such as new product development, acquisitions, and/or divestitures.

Answer: All the above

All listed practices are fundamental to robust risk data aggregation and reporting, aligning with principles like BCBS 239. Independent review and validation ensure accuracy and reliability, while detailed documentation provides transparency and auditability. The system should be unaffected by the bank's organizational structure to ensure consistency, and data aggregation capabilities must be integrated into new initiatives to maintain comprehensive risk oversight.

In aggregated risk data, a bank should provide data characteristics (metadata) and naming conventions for legal entities, counterparties, customers, and account data. The Basel Committee on Banking Supervision recommends this in the principle of:

Answer: Data architecture and infrastructure

The Basel Committee on Banking Supervision's Principle 3, 'Data architecture and infrastructure,' specifically mandates that banks should design, build, and maintain a robust data architecture and IT infrastructure. This includes establishing clear data taxonomies, metadata, and naming conventions for key data elements like legal entities, counterparties, and accounts, which are essential for effective risk data aggregation and reporting.

The estimated return on the Chrome Fund is 12%. The excess return on the Nickel Fund is estimated to be 8%. Chrome Fund has a standard deviation of 5%, whereas Nickel Fund has a standard deviation of 4%. 2 percent is the risk-free rate. A sensible investor should, based on the Sharpe ratio:

Answer: Be indifferent between Chrome Fund and Nickel Fund.

The Sharpe Ratio measures the risk-adjusted return of an investment by dividing its excess return (return above the risk-free rate) by its standard deviation. For the Chrome Fund, the excess return is 12% - 2% = 10%, giving a Sharpe Ratio of 10% / 5% = 2.0. The Nickel Fund has an excess return of 8% and a standard deviation of 4%, also resulting in a Sharpe Ratio of 8% / 4% = 2.0. Since both funds offer the same risk-adjusted return, a sensible investor would be indifferent between them based on this metric.