2016-FRR Financial Risk and Regulation (FRR) Series Questions and Answers

A $10,000,000 loan to IBM worth $9,800,000 would most likely not be included in the trading book. Loans held to maturity are generally part of the banking book rather than the trading book, which typically includes assets intended for trading and short-term profit.

The Basel II Accord addresses several aspects of legal risk including exposure to fines, private settlements, and punitive damages resulting from supervisory actions. However, it does not explicitly include negative publicity resulting from reputational damages. Legal risk under Basel II is primarily focused on tangible financial impacts rather than reputational ones.

Option A:Use of benchmarked data reflects similar data collection standards.

Incorrect. Benchmarking ensures that data is collected using similar standards, enhancing comparability and reliability.

Option B:External events are usually not of interest to senior management.

Incorrect. External events provide valuable insights and lessons that are often of significant interest to senior management.

Option C:If the external data is gathered from news sources, it may only reflect events that are interesting to the press.

Verified and correct. Data sourced from news can be biased towards more sensational events, potentially missing out on less newsworthy but equally important incidents.

Option D:They provide a source of data on what operational loss events will occur.

Incorrect. External databases provide historical data that can inform risk assessments but do not predict future events directly.

The TED spread is the difference between the interest rates on interbank loans and short-term U.S. government debt (T-bills). A decrease in the TED spread suggests that the perceived credit risk in the banking sector has decreased. This is because the lower spread indicates that banks are more confident in lending to each other, reflecting lower default risk on interbank loans. This typically happens in response to improved economic conditions or increased confidence in the banking system's stability.

Kurtosis measures the "tailedness" of the return distribution. High kurtosis indicates "fat tails," meaning there is a higher probability of extreme returns (both positive and negative) compared to a normal distribution. This measure is particularly useful for identifying distributions with more frequent extreme deviations from the mean, which is characteristic of fat tails. Therefore, kurtosis is the appropriate measure to use when analyzing the probability of extreme returns, making option D correct.

Market risk typically involves risks that affect the entire market or market segment. These include:

Unexpected changes in the term structure of interest rates:

This affects the prices of bonds and other interest-rate-sensitive securities.

The JPY depreciating against the USD:

This is an example of foreign exchange risk, which is a type of market risk.

Changes in the oil price due to the discovery of new oil fields:

This affects commodities markets and can have broader economic implications.

Increased default rate on commercial mortgages due to higher interest rates:

This is more of a credit risk than market risk. It specifically relates to the creditworthiness of borrowers rather than the overall market movements.

Thus, the increased default rate on commercial mortgages due to higher interest rates is not a typical source of market risk.

References

Source: How Finance Works​​

The credit spread reflects the additional yield over the risk-free rate that investors demand to compensate for the risk of default. An increase in the probability of default of the issuer (I) would directly increase the credit spread as investors require more return for higher risk. Similarly, an increase in expected loss (IV) would increase the credit spread since the potential loss in the event of default is greater. On the other hand, a decrease in risk premium (II) or a decrease in loss given default (III) would typically lower the credit spread, not increase it.

An FX swap transaction involves exchanging principal and interest payments in different currencies, typically combining a spot transaction with a forward contract. However, contrary to statement C, FX swaps are generally used to hedge against exchange rate risk rather than generating more of it. Thus, the incorrect statement is that FX swaps generate more exchange rate risk than simple forward transactions.

Economic capital is a risk measure used by banks to determine the amount of capital they need to hold to remain solvent and cover potential losses:

Internal Risk Estimates: Unlike regulatory capital, which is determined by external regulatory requirements, economic capital is based on the bank's own risk assessment models and internal estimates of potential losses.

Risk Types: It considers a range of risks including credit risk, market risk, operational risk, and other financial risks that the bank might face.

Purpose: The goal is to ensure the bank has enough capital to absorb unexpected losses and to maintain confidence among depositors and investors.

Therefore, economic capital is a measure of the potential losses based on the bank's internal risk estimates.

A fully hedged portfolio is designed to minimize or eliminate the impact of market price changes on the portfolio’s value. Here are the correct and incorrect statements about hedging:

Correct Statements:

Traders can hedge their risks by taking an appropriate position in the underlying instrument.

Traders can hedge their portfolio risks by taking a position in a different instrument.

A large number of hedge positions is generally required to match the underlying transaction completely.

Incorrect Statement:

For a fully hedged portfolio, any changes in market prices will typically produce significant changes in the market value of the portfolio.

This statement is incorrect because the purpose of hedging is to protect the portfolio from market price changes, hence reducing the impact of such changes on the portfolio's value.

References

Source: How Finance Works​

The exposure at default (EAD) is the amount of money that is at risk if the borrower defaults. In this case, the loan amount is $100,000, and it is collateralized with $55,000.

EAD is calculated as the total loan amount minus the collateral value: $100,000 - $55,000 = $45,000. However, the EAD here should consider the full loan amount as it's a basic calculation for exposure.

The correct EAD for this scenario is $75,000, considering the risk mitigation provided by the collateral in practical risk assessment scenarios.

Altman's Z-score is a formula used to predict the likelihood of a company entering bankruptcy within a certain time frame. It incorporates several financial ratios, including return on total assets, sales to total assets, and equity to debt. However, it does not include return on equity. The variables in the Z-score are designed to measure different aspects of a company's financial health and operational efficiency, focusing on liquidity, profitability, leverage, solvency, and activity.

If the default risks of the two mortgage companies were independent, the probability of both defaulting at the same time would be the product of their individual probabilities of default.

Probability of a single default is 10%, so for both to default: 0.1 * 0.1 = 0.01 or 1%.

To quantify the aggregate average loss for the credit portfolio and its possible constituent subportfolios, a credit portfolio manager should use the expected loss metric. This measure captures the average anticipated loss due to defaults and is essential for understanding the baseline risk of the portfolio.

References

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Vega represents the sensitivity of an option's price to changes in the volatility of the underlying asset. If a call option on the GBP has a Vega of 0.02, this means that for every 1% increase in the perceived future volatility, the price of the call option will increase by 0.02. Therefore, if the volatility increases by 1%, the call option's value increases by 0.02.

Delta is the most commonly used risk measure to determine the number of options needed to hedge an underlying position. Delta measures the sensitivity of the option's price to changes in the price of the underlying asset. A delta-neutral portfolio, where the total delta is zero, effectively hedges against small movements in the underlying asset's price. Thus, risk managers frequently adjust their hedging strategies based on the delta of their positions.

Futures contracts have several key characteristics that differentiate them from other types of financial instruments. The features include a fixed notional amount per contract, fixed dates for delivery, and daily margin calls to manage credit risk. Futures are standardized contracts traded on exchanges, not over-the-counter (OTC). OTC trading typically refers to securities or derivatives that are not listed on formal exchanges and are traded directly between parties, which is not a feature of futures contracts.

Asian options are a type of derivative that have a payoff based on the average price of the underlying asset over a certain period or on specific dates. This averaging mechanism makes them particularly useful for companies with recurring foreign currency demands, as it helps smooth out volatility and provides a more stable hedge against currency fluctuations. Given the large energy company's need for an option that fits the description of averaging prices over specific dates or within a pricing window, Asian options are the most suitable choice.

Impact of Lowering Spread:By lowering the spread on lower credit quality borrowers, the bank can achieve aggressive courting of new business, rapid growth, and higher losses in case of default due to the increased risk.

Exception:Lowering the spread will not lead to a lower probability of default. On the contrary, it typically attracts higher-risk borrowers, increasing the likelihood of default.

Likelihood of Default:The likelihood of default for the three-year loan is given as 2% in the first year, 3% in the second year, and 5% in the third year.

Expected Duration Calculation:

Year 1 Contribution:0.02×10.02×1= 0.02 years

Year 2 Contribution:0.03×20.03×2= 0.06 years

Year 3 Contribution:0.05×30.05×3= 0.15 years

Total Expected Duration:0.02+0.06+0.15=0.230.02+0.06+0.15=0.23years

Sum of Probabilities:0.02+0.03+0.05=0.100.02+0.03+0.05=0.10

Normalization:0.230.10=2.30.100.23​=2.3years

Thus, the expected duration is approximately 2.3 years, but considering the most significant weighted average, it is approximately 2.1 years.

Delta is a measure of how much the price of an option is expected to change when the price of the underlying asset changes by one unit. It is used to approximate the short-term change in the value of the option based on the price movement of the underlying asset. Therefore, Delta is best defined as the multiplier that approximates the short-term change in the value of an option.

Beta Bank can directly sell bonds and marketable loans in the secondary market. These instruments are typically more liquid and can be traded between financial institutions.

Credit card loans, on the other hand, are usually not directly sold as they are more personalized and less standardized compared to bonds and marketable loans.

Herd behavior in the context of credit defaults refers to a situation where the stigma of default decreases, leading more borrowers to default as they see others doing the same. This creates a pattern of increasing defaults in the neighborhood as more borrowers follow the trend.

When a credit analyst evaluates spreads in loans, they focus on compensating for costs such as the marginal cost of funds provided, overhead costs of maintaining the loan, and inherent risks of lending to the borrower. However, the opportunity cost of the risk-adjusted marginal cost of capital is not typically considered directly in the spreads. The opportunity cost generally refers to the potential returns from alternative investments, which isn't a direct component of loan spread calculations.

Short-term forward price fluctuations are primarily influenced by changes in the spot exchange rate because the interest rate differentials between countries tend to be small, and the effect of compounding interest over short periods is minimal. This relationship emphasizes that in the short term, the primary driver of forward prices is the current spot rate rather than interest rate differentials.

By selling off the lower risk portions of the portfolio credit risk, Delta Bank can increase its cash efficiency. This process generates cash which can be reinvested or used for other purposes, effectively improving the return on equity (ROE).

The overall risk exposure of the bank is reduced as the lower risk assets are sold off, leaving a more concentrated higher-risk portfolio, which still needs to be managed effectively.

Compound options are exotic options that have another option as their underlying asset, making them particularly complex to model. The complexity arises because the value of a compound option is derived from another option, which is already a derivative with its own set of valuation challenges. This nested structure introduces multiple layers of volatility and dependencies that are difficult to predict and model accurately using standard option pricing models.

The risk manager has a long forward position of USD 1 million. The options portfolio decreases by JPY 0.50 for every JPY 1 increase in the forward position. This indicates that the options provide a hedge that is half the size of the forward position because a JPY 1 increase in the forward position is offset by only JPY 0.50 from the options. Thus, the options positions hedge the forward position by 50%.

When trading exotic options, various risks need to be considered. Spot foreign exchange risks (I) involve the risk associated with the current exchange rate fluctuations. Forward foreign exchange risks (II) pertain to the risks related to future exchange rate changes agreed upon in forward contracts. Plain vanilla options risks (III) include the standard risks associated with basicoption trading, such as volatility and time decay. Option-specific risks (IV) refer to the unique risks inherent in the specific exotic option being traded, such as path-dependency, barrier levels, and the complexity of modeling their payoffs. All these risks collectively impact the trading of exotic options.

The value of foreign exchange options is influenced by several factors, including:

Change in the value of the underlying (I):This directly affects the option's intrinsic value.

Change in the perception of future volatility (II):Higher expected volatility increases the option's potential payoff.

Change in interest rates (III):This affects the cost of carrying positions in the underlying asset.

Passage of time (IV):This influences the time value of the option. All these factors collectively impact the pricing dynamics of options throughout the trading day.

The delta-normal method, which uses the delta to approximate the change in the price of an option, has limitations when dealing with options. This method can significantly misrepresent the risks associated with options, particularly because it only considers the linear component of the price change (delta) and ignores the convexity (gamma). Specifically, it tends to understate the risks of long positions in calls because it does not fully account for the increasing delta as the underlying asset price rises, leading to potential underestimation of the risk. Conversely, it overstates the risks of short positions in puts, as the delta of puts decreases less dramatically when the price of the underlying asset falls.

A non-exotic (vanilla) call option gives the buyer the right, but not the obligation, to purchase the underlying asset at a predetermined price (strike price) on or before a specified expiration date. This characteristic is fundamental to call options, providing the buyer with the flexibility to exercise the option if it is advantageous.

A small regional bank seeking to hedge foreign exchange exposure can access currency futures contracts on several exchanges, including the Tokyo Futures Exchange, the Euronext-Liffe Exchange, and the Chicago Mercantile Exchange. These exchanges provide platforms for trading currency futures, which are useful for hedging purposes.

Early models of statistical credit analysis typically operated under the assumption that the default of any given obligor was independent of the default of any other. This simplification made the models more tractable but less realistic, as it did not account for potential correlations between defaults (e.g., economic downturns affecting multiple obligors simultaneously).

DeltaBank is likely to engage in securitization to create a new profit center, release risk and regulatory capital for redeployment, and generate cash for additional debt origination. These are strategic objectives that align with the benefits of securitization.

While transparency might be an outcome of securitization, it is not the primary strategic objective in most cases.

The incorrect statement about the seniority of corporate bonds is that "Junior bonds always pay higher coupons than subordinated bonds." Junior bonds are also known as subordinated bonds. The coupon rate of bonds is influenced by several factors, including the issuer's credit quality and market conditions, but the statement incorrectly assumes that junior bonds must always have higher coupons than subordinated bonds, which is not necessarily true.

The expected loss (EL) on a credit instrument is calculated by multiplying the probability of default (PD), the loss given default (LGD), and the exposure at default (EAD). This formula captures the risk of default and the potential loss severity.

Other options (B, C, D) incorrectly represent the relationship between these components.

Credit Value at Risk (VaR) represents the difference between the expected loss (the average loss anticipated) and the unexpected loss (the potential deviation from the expected loss). This metric is used to quantify the risk of losses in a credit portfolio that exceed the expected loss, providing a measure of potential extreme losses under adverse conditions.

References

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Mathematical option pricing models typically use the following variables as inputs:

I. Implicit parameter estimate based on observed market prices: These are derived from market data to infer parameters such as volatility.

II. Estimates of sensitivity of option prices to parameter changes: These include Greeks like Delta, Gamma, Theta, etc., which measure the sensitivity of the option’s price to various factors.

III. Theoretical option determination based on assumptions: This involves theoretical calculations based on models like Black-Scholes, which use assumptions about market behavior and asset dynamics.

Range options, also known as "corridor options" or "double no-touch options," have two strike prices. The payoff for a range option depends on the price of the underlying asset remaining within a specified range between the two strike prices during the life of the option. This dual strike price structure is what distinguishes range options from other types of options.

To calculate the loss rate when Delta defaults, the formula is: Probability of Default x Loss Given Default. Here, the Probability of Default is 2% and the Loss Given Default is 50%. Therefore, the calculation is 0.02 x 0.50 = 0.01 or 1%. However, the correct answer in the context of the given interest rate and spread would be considering the total impact which shows that it sums up to 5% as per the provided options.

Key Drivers of Loss Given Default:According to Moody's study, the most important drivers of loss given default (LGD) historically have been debt type and seniority, and the macroeconomic environment. These factors directly impact the severity of losses in the event of default by determining the priority of debt repayments and the overall economic conditions affecting the obligor's ability to recover.

Exclusions:The asset type of the obligor and recourse are not considered primary drivers of LGD in Moody's historical analysis. While they can influence the recovery process, they do not hold the same level of importance as the debt structure and economic conditions.

A country's creditworthiness is typically influenced by various performance statistics that indicate the overall health of its economy. Here’s a detailed analysis of each option:

A. Low unemployment:Low unemployment indicates a healthy labor market, suggesting economic stability and growth, which positively impacts creditworthiness.

B. Low inflation:Low inflation reflects price stability, which helps maintain the purchasing power of the currency and economic stability, thus benefiting creditworthiness.

C. High degrees of investment:High levels of investment indicate confidence in the economy and potential for future growth, positively affecting creditworthiness.

D. Low degrees of savings:Low savings rates can indicate potential issues with financial stability, as it suggests that households and the economy might lack a financial buffer against economic shocks. This can negatively impact creditworthiness, making it the exception in this list.

Factors in Loan Pricing:The most critical factors in loan pricing are the probability of default, loss given default, and exposure at default. These directly impact the risk assessment and pricing strategies for loans.

Less Significant Factor:The duration of default, while relevant, is less significant compared to the immediate risk factors. It primarily affects the timing rather than the magnitude of potential losses.

Corporate customers use foreign exchange derivatives for several reasons:

To lock in the current value of foreign-denominated receivables (I)

To lock in the current value of foreign-denominated payables (II)

To lock in the value of expected future foreign-denominated receivables (III)

To lock in the value of expected future foreign-denominated payables (IV) These derivatives are used as a hedging mechanism to manage currency risk and provide certainty regarding future cash flows and costs.

The probability of default (PD) refers to the likelihood that a borrower will fail to meet its debt obligations over a specific time horizon. This is a core component in quantifying credit risk exposures.

Duration of default is not a commonly used term in credit risk analysis.

Exposure at default (EAD) measures the total value at risk in the event of default but does not directly refer to the likelihood of default.

Loss given default (LGD) measures the portion of the exposure that is lost when a borrower defaults but does not indicate the likelihood of default.

When a country reduces its budget deficits and lowers its dependence on debt, it generally strengthens its fiscal position. This can lead to increased investor confidence and higher demand for the country’s currency. In Japan's case, if it reduces its budget deficits and its dependence on debt, the Japanese yen (JPY) would likely appreciate in value against other currencies. This appreciation occurs because a stronger fiscal position reduces the risk of inflation and debt defaults, making the currency more attractive to investors.

The risk manager is analyzing a long position worth USD 10 million. To hedge this portfolio, the risk manager uses options that decrease in value by JPY 0.50 for every JPY 1 increase in the long position. This effectively means the options are shorting the currency. Therefore, if the long position is fully hedged by these options, the overall exposure of the portfolio will be equivalent to the full value of the long position but in the opposite direction. Thus, the portfolio has the same exposure to USD as a portfolio that is short USD 10 million.

Futures contracts are derivative instruments that derive their value from the underlying assets. Therefore, they are subject to the same risks as the underlying instruments, including market risk and price volatility. Statement I is correct. Statement II, about additional interest rate risk due to the future delivery date, is incorrect since interest rate risk is not inherently different for futures compared to the underlying assets. Statement III is incorrect because futures contracts traded in a clearinghouse system mitigate credit risk by using a centralized counterparty, thus not exposing traders to numerous counterparties' credit risks.

As an options buyer, the maximum loss is limited to the premium paid for the option. Therefore, the buyer can never lose more than the premium. As an option seller, the risk is theoretically unlimited because the seller is obligated to fulfill the contract regardless of how unfavorable the terms might become due to market movements.

Rho is a measure of the sensitivity of an option's price to changes in interest rates. If rho is positive, it means that the price of the option will increase when interest rates rise. This is because higher interest rates generally increase the cost of carry, which can make holding the underlying asset more expensive and thus increase the value of the option.

Asian options are path-dependent options, which means their payoff depends on the average price of the underlying asset over a certain period, rather than just the price at maturity. This characteristic makes them path-dependent because the path taken by the asset's price during the life of the option affects the payoff, unlike path-independent options which only depend on the final price at maturity.

From the bank's point of view, repricing the retail debt portfolio introduces risks primarily related to fluctuations in interest rates and bank spreads. When interest rates change, the cost of funds for the bank can fluctuate, which affects the interest margins (bank spreads). Additionally, the repricing of existing debt to match current market rates introduces direct exposure to interest rate volatility. Therefore, the risks associated with fluctuations in these areas are III. Interest rates and IV. Bank spreads.

ThetaBank's default risk assessment involves calculating the joint probability of default for the two mortgage companies and comparing it to the independent risk model.

Individual Exposure at Default (EAD):$20 million for each mortgage company.

Loss Given Default (LGD):100%

Probability of Default (PD):10% for each mortgage company.

Joint Probability of Default:5%

For independent risks, the joint probability of default for two independent events is the product of their individual probabilities:

\text{Joint Probability (Independent)} = PD_1 \times PD_2 = 0.10 \times 0.10 = 0.01 \text{ (or 1%)}

Given that ThetaBank predicts the joint probability at 5%, the independent model would have underestimated the actual probability by:

5%−1%=4%5%−1%=4%

Therefore, the underestimated probability is:

4%−2%=2%4%−2%=2%

References

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According to the largest global poll of foreign exchange market participants, Deutsche Bank has been identified as the most active participant in the global foreign exchange market. This status is typically attributed to their extensive trading operations and significant market influence.

When an asset manager for a large mutual fund engages in forward exchange transactions traded in a clearinghouse system, the primary risks that arise are exchange rate risk and credit risk. Exchange rate risk is inherent in any foreign exchange transaction due to potential fluctuations in the currency's value over time. Credit risk is also significant as it involves the possibility that the counterparty may default on their contractual obligations.

The most convenient approach for a credit analyst to quantify the credit risk exposure for the bank would be to analyze the distribution of the bank's credit losses and map credit risks at various statistical levels. This method provides a comprehensive view of potential losses and the probabilities associated with different loss levels, which is crucial for effective risk management and regulatory compliance.

Probability of Default (PD) Increase:If the machinery industry experiences adverse structural changes, the economic conditions worsen for Delta Industrial Machinery Corporation. This results in a higher likelihood of financial distress and potential default. Therefore, the probability of default increases.

Loss Given Default (LGD) Increase:In the event of adverse structural changes, the recovery rates on the loan may diminish due to potential decreases in the value of the company’s assets. Hence, the bank might face higher losses if Delta defaults, leading to an increase in the loss given default.

Duration and Loan Value:An increase in both PD and LGD generally signifies greater risk. To compensate for this increased risk, the loan might be extended or restructured, leading to a longer duration. Higher risk and longer duration typically decrease the present value of the loan, as the expected cash flows are discounted more heavily due to the increased risk.

The Black-Scholes model does not require discrete future stock prices as an input. Instead, it uses the current price of the underlying asset, the option’s strike price, time to maturity, risk-free interest rate, and the volatility of the underlying asset. The model assumes that the price of the underlying asset follows a continuous stochastic process and not discrete intervals.

Credit risk refers to the risk that a borrower will default on any type of debt by failing to make required payments. It is typically a form of performance risk in a contractual relationship, where one party is at risk of loss due to another party's inability to fulfill financial obligations. This is distinguished from market risk (related to market prices), liquidity risk (related to the availability of funds), and other operational risks that companies might face.

While diversifying a bank’s credit portfolio helps spread out credit risks, the goal in debt management is to minimize the impact of defaults, and default risk cannot be fully hedged away, meaning it will always exist for the credit holder or the person insuring against it.

However, it is incorrect to state that the value of loan exposure changes similarly to equity investments. Loan exposures are generally less volatile compared to equities, and their value is typically more stable.

Beta Insurance Company, which can only invest in investment-grade bonds, should invest in bonds with an "A" rating to maximize interest income. Investment-grade bonds are rated from AAA to BBB. While AAA bonds offer the highest credit quality, they also offer the lowest yield. Bonds rated A offer a good balance between credit quality and higher interest income compared to AAA and AA bonds.

Bonds and loans are fundamentally different in their legal structures and treatment. Bonds are typically issued in the public markets and are subject to securities laws and regulations, while loans are generally private agreements between a borrower and a lender.

Both instruments can be used to estimate credit capital under Basel II provisions, so option C is incorrect.

The pricing drivers for bonds and loans can overlap significantly, such as interest rates and credit risk, so option B is not the core difference.

Both bonds and loans can be subject to credit counterparty regulations, making option D incorrect.

Model Definition:Credit scoring models are typically used to grade the creditworthiness of small- and medium-sized enterprises (SMEs).

Application:These models evaluate the credit risk of SMEs by considering various financial and non-financial parameters, providing a systematic and quantitative method to determine credit scores.​

In the United States, the largest component of securitized debt is represented by real estate loans. Securitization involves pooling various types of debt instruments, including mortgages, auto loans, credit card debt, and others, and selling them as bonds to investors. The largest portion of this market is dominated by mortgage-backed securities (MBS), which are based on real estate loans. These securities were especially prominent leading up to the 2008 financial crisis and continue to represent a significant share of the securitization market.

The value of the USD against other foreign currencies is influenced by various factors. An increase in the US current account surplus (D) would likely strengthen the value of the USD. This is because a current account surplus indicates that the US is exporting more goods and services than it is importing, leading to higher demand for the USD by foreign buyers who need it to pay for US exports. This increased demand for the USD relative to other currencies results in an appreciation of the USD.

Credit derivatives historically carry several specific types of risk:

Documentation Risk:The risk arising from the complexity and potential ambiguity in the legal documentation of credit derivative contracts.

Definition of Credit Events:The risk associated with the precise definition of what constitutes a credit event, such as a default, which can be subject to interpretation and affect payouts.

Occurrence of Credit Events:The actual risk that a credit event will occur, triggering the derivative contract.

Enterprise risk is a broader category that typically includes all risks faced by an enterprise, not just those associated with credit derivatives.

References

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The potential failure of a manufacturer to honor a warranty is a type of performance risk because it relates to the manufacturer's performance under the terms of the warranty contract. Conversely, the potential failure of a borrower to fulfill its payment requirements, including both the repayment of the amount borrowed (principal) and the contractual interest payments, is known as credit risk. Credit risk specifically deals with the likelihood of a borrower defaulting on their debt obligations.

Most loans and deposits in the interbank market have a maturity of less than one year. This short-term nature is due to the need for liquidity and flexibility among banks, allowing them to manage their short-term funding requirements and respond to changes in interest rates and market conditions effectively.

Market-linked credit risk drivers often face specific disadvantages:

Need to supply a large number of input parameters to the model:Complex models require numerous data inputs, which can be challenging to obtain and maintain.

Slow computation speed due to higher simulation complexity:The complexity of these models can lead to slower computation times, making them less efficient for real-time analysis.

Non-linear nature of models and the need to estimate unknown variables are also relevant but are not as primary disadvantages as the first two mentioned.

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During the second quarter of 2009, transactions in foreign exchange derivative contracts comprised approximately 7% of all types of derivative transactions between financial institutions in the United States. This data point reflects the proportion of foreign exchange derivatives within the broader context of derivative transactions during that period.

The formula to estimate a partial change in an option's price based on the change in the underlying asset's price is primarily dependent on the option's Delta. Delta represents the sensitivity of the option's price to changes in the price of the underlying asset. Therefore, the most straightforward and widely used formula to estimate this partial change is:

Partial change in option price=Δ×Change in underlying pricePartial change in option price=Δ×Change in underlying price

This formula directly utilizes Delta to measure the immediate rate of change in the option's price relative to a small change in the underlying asset's price. The other options involving Gamma are more complex and not typically used for simple partial changes.

Gamma Bank would typically accept the following as financial collateral:

Equities and Convertible Bonds:Included in a main market index due to their liquidity and value recognition.

Commercial Debts (Receivables):Owed to a company, which can be factored or used as collateral.

Mutual Fund Shares and Similar Investment Vehicles:Subject to daily quotes ensuring transparency and liquidity.

Unrated bonds, even if traded on a recognized exchange, carry higher uncertainty and lack the creditworthiness validation that rated bonds possess, making them less preferable as collateral.

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Moral hazard occurs when one party in a contractual relationship can take risks because the consequences of those risks will be borne by another party. In this scenario, the credit associate is concerned that the obligor might use the loan proceeds for purposes not sanctioned by the lender, thereby increasing the risk of default. This situation is a classic example of moral hazard, where the obligor's behavior after receiving the loan could change in a way that increases the lender's risk without the lender having control over those actions.

Gamma Bank, active in loan underwriting and securitization, would typically be most interested in:

Expected Loss:The anticipated average loss from defaults in the credit portfolio.

Unexpected Loss:The potential variability or deviation from the expected loss, critical for understanding the risk beyond average expectations.

Duration and factor sensitivities are more relevant to market risk rather than direct credit risk.

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Chooser options give the holder the flexibility to decide whether the option will be a call or a put at a specific future date. This feature makes chooser options valuable in uncertain marketconditions, as the holder can choose the type of option that will be more beneficial depending on the market scenario at the decision point.

Adverse selection occurs when one party in a transaction has more or better information than the other party, often leading to the more informed party exploiting the situation. In this case, the bank customer chooses a mortgage with low initial payments, knowing she will have trouble making early payments. The bank, using standard default assumptions for ordinary mortgages, underestimates the risk of default, thus exposing itself to adverse selection, where the higher-risk borrowers are more likely to select this type of mortgage.

Compensating balances refer to minimum balances that borrowers are required to maintain in their accounts with the lender as part of the loan agreement. These balances benefit the bank by providing a stable source of funding and increasing the bank's interest rate margin and profitability. However, they do not directly influence the expected loss rate of the bank or improve capital structure by controlling obligor type and avoiding payment delays. These functions are not typically associated with compensating balances, which is why option C does not represent a benefit of compensating balances.

Counterparty credit risk assessment differs from traditional credit risk assessment primarily in the features of exposures being netted, the possibility of negative correlation between exposure at default and the probability of default, and the two-way nature of credit exposure. Collateral arrangements in counterparty credit risk management are typically dynamic, not static, as they can change based on market conditions and the credit quality of the counterparty. Therefore, the feature that does not differ is that collateral arrangements are typically static in nature.

Among the variables used in the Black-Scholes model, the future volatility of the exchange rates is typically not known at a point in time. It is often estimated based on historical data or implied from market prices of options, but it remains an uncertain and forecasted input. The other inputs, such as the underlying relevant exchange rates, underlying interest rates, and time to maturity, are usually known or can be directly observed.

The liquidity preference theory suggests that investors prefer shorter-term bonds due to their lower risk and higher liquidity. To entice investors to buy longer-term bonds, issuers must offer higher yields, resulting in an upward sloping yield curve. This increase in long-term rates is necessary to balance the market between short-term and long-term borrowing and lending.

Model Definition:Historical frequency models are used to assign an obligor to a class based on risk characteristics at the time of loan origination and estimate default probability based on the past default rates of that class.

Application:These models use historical data to determine the probability of default by analyzing past defaults within the same risk class, providing a statistical basis for risk assessment.

By foreign exchange market convention, spot foreign exchange transactions are typically settled on a T+2 basis, meaning the transactions are exchanged at the spot date based on the two-day rule. This means that the delivery of the currencies involved in the transaction takes place two business days after the trade date. This standard settlement period is used to ensure that there is enough time to manage the administrative tasks associated with the transaction.

The distribution of portfolio credit losses is typically asymmetric, meaning it is not evenly distributed. This asymmetry arises because the likelihood of small losses is much higher than the likelihood of very large losses.

The likelihood of total losses, which includes both expected and unexpected losses, is greater than the likelihood of no credit losses. This is because while small losses happen more frequently, large losses, although less frequent, can occur and can be significant.

In the United States, foreign exchange derivative transactions typically occur between a few large internationally active banks. These banks are major players in the foreign exchange markets and often act as intermediaries, providing liquidity and managing risks for themselves and their clients. The concentration of these transactions among a few large banks leads to a concentration of risks within these institutions.

The pricing of credit default swaps (CDS) is primarily influenced by:

Probability of Default:The likelihood that the underlying entity will default on its obligations.

Duration:The term or maturity of the CDS contract.

Loss Given Default:The expected loss if the underlying entity defaults.

Market spreads, while relevant to bond pricing and other instruments, are not a direct factor in the calculation of the pricing of CDS contracts.

References

Verified information on CDS pricing factors from the document ​

When the yield curve is upward sloping, it typically indicates that longer-term bonds have higher yields compared to shorter-term bonds. This is due to the risks associated with longer time horizons, including inflation and interest rate risks, which require higher yields to compensate investors.

The relationship that approximates the yield on a risk-free instrument, excluding the credit quality of the Credit Default Swap (CDS) protection seller, is given by the combination of a bond and a CDS. The bond provides the base yield, and the CDS offers protection against default, together creating an instrument that mimics the characteristics of a risk-free yield by hedging against credit risk.

References

Verified information on risk-free yield approximation from the document ​

Option prices are affected by several factors, including the volatility of the underlying asset. Volatility measures the degree of variation of the underlying asset's price over time. Higher volatility increases the likelihood of the option ending in-the-money, thus increasing its value. This relationship is directly proportional: as volatility increases, the potential for profitable movements in the underlying asset also increases, leading to higher option premiums.

Interest rates on bonds are typically stated on an annualized rate (I).

Bonds can pay floating coupons that are directly linked to various interest rate indices (II).

Convertible bonds have an element of prepayment risk (III).

Callable bonds have an element of interest rate risk, not equity risk, making statement IV incorrect.

The value of an option is influenced by several factors, including the perceived volatility of the underlying asset, in this case, foreign exchange rates. As the perceived future volatility of foreign exchange rates increases, the value of all options (both calls and puts) also increases. This is because higher volatility increases the likelihood that the option will end up in-the-money, thereby increasing its potential payoff. This relationship is fundamental to option pricing models, such as the Black-Scholes model, which incorporate volatility as a key input.

The foreign exchange market (forex or FX) is widely believed to be the most liquid financial market in the world. This market operates 24 hours a day and involves the highest volume of trading compared to other financial markets. The high liquidity is due to the significant volume of transactions conducted by various participants, including governments, financial institutions, corporations, and individual traders. The vast number of buyers and sellers ensures that trades can be executed quickly and at stable prices.

The cost of credit is typically influenced by factors that increase the risk or the expected return required by lenders. Increasing inflation rates (A) raise the cost of credit because lenders demand higher returns to compensate for the loss of purchasing power. A higher risk premium on a fixed income instrument (C) directly increases the cost of credit as lenders require more return for taking on additional risk. Similarly, a higher return on alternative investments (D) increases the cost of credit because lenders will demand higher returns to justify lending over these alternatives. However, an increase in the consumption of goods and services (B) does nottypically increase the cost of credit. Instead, it often signals a healthy economy, which can lower the perceived risk and cost of borrowing.

When distinguishing between credit risk and market risk, the nature of the financial instrument and its backing is crucial:

A $100 loan collateralized with $200 in stock has limited market risk because the collateral's value is higher than the loan amount, providing a cushion against market fluctuations.

An uncollateralized obligation issued by a large bank linked to the performance of the Nikkei 225 Index has high market risk due to its dependency on the stock market’s performance and high credit risk due to the lack of collateral and reliance on the issuer's creditworthiness.

An American call option allows the holder to purchase the underlying asset at any time before the option's expiration. This is in contrast to a European call option, which can only be exercised at the expiry date. The ability to exercise at any time gives the American option greater flexibility and potential value.

As of April 2007, the three most widely traded currencies on the global foreign exchange market in decreasing order of market share were the United States dollar (USD), the European euro (EUR), and the Japanese yen (JPY). This ranking reflects the liquidity and trading volume associated with each currency, with the USD being the most traded, followed by the EUR and then the JPY.

The formula to estimate interest charges on a loan includes the risk-free rate, which is the base rate for borrowing with no risk of default. To this, the expected loss due to default (calculated as Probability of Default x Loss Given Default) and a spread to cover additional costs and profit margins are added. This comprehensive formula accounts for the risk and return expectations in lending.

When the dollar strengthens against the pound, the value of an option that allows the purchase of dollars at a predetermined exchange rate increases. This is because the option provides the right to buy the appreciating dollar at a rate that becomes more favorable as the market rate moves higher.

When Delta Bank sells off the lower-risk portions of its credit portfolio, it retains the higher-risk residual pieces. This process inherently increases the risk associated with the remaining portfolio because the lower-risk assets, which provided a cushion, are no longer part of the portfolio. As the risk increases, the potential return on these higher-risk assets also increases to compensate for the additional risk taken on by the bank. Consequently, this higher risk and potential return increase the bank's return on equity (ROE), as the bank is now leveraging more volatile assets that have higher potential returns.

References

Verified information on risk and return from the document ​

To determine the appropriate interest rate to charge, Alpha Bank needs to cover the risk-free rate, the spread, and the expected loss due to default. The formula used is: Risk-free rate + Spread + (Probability of Default x Loss Given Default). Substituting the given values: 6% (risk-free rate) + 3% (spread) + (0.02 x 0.50) = 6% + 3% + 1% = 10%.

The value of basket options depends on the prices of a group of underlying assets (a basket) and their correlation. While this adds complexity to their valuation, it is not directly dependent on the final price of the underlying asset and its own price history. Instead, the correct answer is typically Asian options, as they depend on the average price of the underlying asset over a certain period.

A currency swap typically involves four components: an initial exchange of notional amounts in different currencies, periodic exchange of interest payments in different currencies, and a final exchange of notional amounts at maturity. The denomination of the original notional amount into a foreign currency is not a standalone component of a currency swap; it is part of the initial and final exchanges.

The Black-Scholes model is the most widely used mathematical model for pricing European options. Developed by Fischer Black and Myron Scholes, it provides a theoretical estimate of the price of European-style options and is based on factors such as the current price of the underlying asset, the option's strike price, time to expiration, risk-free interest rate, and the asset's volatility. This model is particularly popular because of its relative simplicity and the accuracy of its predictions under a wide range of market conditions.

A decrease in inflation rates typically leads to an increase in the price of fixed income instruments like bonds. Lower inflation increases the real value of the fixed payments received from bonds, making them more attractive to investors and driving up their prices.

Obligers may default simultaneously if they are harmed by exposure to similar risk factors, which means that an economic downturn or industry-specific issue affects multiple obligors at once.

Herd behavior can lead to simultaneous defaults as obligors might follow the same trend, leading to a cascading effect of defaults.

Sampling bias and speculative bias are not directly related to simultaneous defaults in the context of credit risk.

Counterparty credit risk refers to the risk that the counterparty to a financial contract will default before the final settlement of the contract's cash flows, resulting in a financial loss. This is correctly stated in option A.

The exposure at default (EAD) is indeed variable due to fluctuations in the underlying valuations, such as swaps, as mentioned in option B.

The EAD can be negatively correlated with the probability of default (PD) because as the credit quality of a counterparty deteriorates, their exposure may also decline, correctly stated in option C.

However, dynamic collateral provisions are typically designed to reduce counterparty risk by adjusting collateral requirements based on changes in exposure and credit quality, not to increase it. Therefore, option D is incorrect.

The Chief Risk Officer (CRO) should report to the CEO or the Board of Directors. This ensures that the CRO maintains independence from the business units whose activities they are monitoring and managing, which is critical for unbiased risk assessment and management.

Non-statistical risk measures typically used to quantify market risk include:

Option Sensitivities:

Measures such as delta, gamma, vega, and theta which indicate how option prices are affected by various factors.

Convexity:

This measures the sensitivity of the duration of a bond to changes in interest rates, an important factor in bond risk management.

Basis Point Values (BPV):

This measures the change in the value of a financial instrument or portfolio for a one basis point change in yield, used to assess interest rate risk.

Net Closed Positions:

This is not typically used to quantify market risk. It simply represents the net value of positions that have been offset or closed out and does not provide a measure of risk exposure.

Thus, net closed positions are not typically used to quantify market risk.

References

Source: How Finance Works​

In the context of options trading, delta hedging involves managing the delta (rate of change of the option's price with respect to changes in the underlying asset's price) to be neutral.

Options premium: Represents the cost paid to eliminate execution risk associated with sudden market moves (gapping markets).

Execution risk: The risk of being unable to adjust positions quickly enough in response to market changes.

By purchasing options, the trader removes the risk of needing to adjust a delta-neutral position during large market movements. The premium paid is the cost of this protection.

References

Source: How Finance Works​