The same approach as question 29 is applied here but focuses on the straightforward default calculation without collateral consideration:

Loan Amount (EAD): $100,000

Loss Given Default (LGD): 50% of EAD ???? ???? ???? =50%×$100,000=$50,000 LGD =50%×$100,000=$50,000

Annual Expected Default Rate: 2%

Expected Loss: Annual Expected Default Rate × LGD Expected Loss=2%×$50,000=0.02×50,000=$1,000Expected Loss=2%×$50,000=0.02×50,000=$1,000

Hence, the expected loss due to default is $1,000 without considering the collateral. If considering the collateral explicitly, it would be slightly different as the collateral reduces the direct exposure.

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.

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.

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.

This statement is incorrect because it is generally observed that longer-term contracts can be less volatile due to the smoothing effect over time, whereas short-term contracts can be more sensitive to immediate market conditions and supply-demand imbalances.

References

Verified with information on the volatility of term contracts in commodity derivatives discussed in the book "How Finance Works"​​.

Initial Margin Calculation : The bank takes a long position requiring a 2% margin. For futures contracts priced at $50 per barrel, the margin required per barrel is 0.02×50=10.02 \times 50 = 10.02×50=1 dollar.

Profit Calculation : The price rises from $50 to $55 per barrel, making a profit of 55−50=555 - 50 = 555−50=5 dollars per barrel.

Return Calculation :

Return on Investment (ROI) without considering risk: 51=5\frac{5}{1} = 515​=5 or 500%.

Risk-Adjusted Return:

VaR (Value at Risk) on the position is estimated to be $10.

Risk-adjusted return formula: ProfitVaR=510=0.5\frac{Profit}{VaR} = \frac{5}{10} = 0.5VaRProfit​=105​=0.5 or 50%.

References

Source: How Finance Works​

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.

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 not typically increase the cost of credit. Instead, it often signals a healthy economy, which can lower the perceived risk and cost of borrowing.

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.

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.