CM-EIP Quiz (With Maths) 18

The Sharpe Ratio measures the excess return of an investment portfolio over the risk-free rate, per unit of total risk (standard deviation). A higher Sharpe Ratio indicates better risk-adjusted performance. The Treynor Ratio, on the other hand, measures excess return per unit of systematic risk (beta). The Jensen Differential Return measures the portfolio’s alpha, which is the excess return above what would be expected given its beta and the market’s return, as predicted by the Capital Asset Pricing Model (CAPM). Performance attribution aims to decompose the sources of a portfolio’s return relative to a benchmark, identifying the impact of asset allocation, security selection, and other factors. Therefore, the Sharpe Ratio is the most appropriate measure for evaluating a portfolio’s risk-adjusted performance against its total risk.

The question tests the understanding of why Time-Weighted Return (TWR) is preferred over Dollar-Weighted Return (DWR) for evaluating portfolio manager performance. TWR isolates the manager’s investment decisions from the impact of client cash flows, which are outside the manager’s control. DWR, conversely, is heavily influenced by the timing and size of these cash flows, making it a less accurate measure of the manager’s skill. Therefore, to assess how well the manager performed irrespective of client deposit or withdrawal activities, TWR is the appropriate metric.

The core purpose of an Investment Policy Statement (IPS) is to serve as a foundational document that guides the investment management process. It clearly articulates the client’s financial goals, risk tolerance, and any specific limitations or preferences. This document acts as a roadmap, ensuring that investment decisions align with the client’s unique circumstances and objectives. It provides a framework for strategy development, implementation, and ongoing review, thereby promoting discipline and preventing impulsive reactions to market fluctuations. The IPS is a collaborative effort between the client and the investment manager, with the client’s needs and objectives taking precedence.

The question tests the understanding of how interest rate changes affect the downside risk measure of a convertible bond. The provided text explicitly states that the ‘investment value’ is used to measure downside risk by comparing it to the market price. However, it also highlights a flaw: this measure is problematic because the ‘straight value’ (which is closely related to the investment value) fluctuates with interest rates. Therefore, a rising interest rate environment would typically decrease the straight value of a bond, making the premium over the straight value appear larger, thus potentially overstating the downside risk if not adjusted for this interest rate sensitivity. Option A correctly identifies this sensitivity to interest rates as the primary limitation of using the investment value as a sole measure of downside risk.

The Price-to-Earnings (P/E) ratio is a valuation metric that compares a company’s current market price per share to its earnings per share (EPS). It indicates how much investors are willing to pay for each dollar of a company’s earnings. A higher P/E ratio generally suggests that investors expect higher future earnings growth, or that the stock is overvalued. Conversely, a lower P/E ratio might indicate lower growth expectations or that the stock is undervalued. The question describes a scenario where a company’s stock price is $20 and its earnings per share are $2. Calculating the P/E ratio: $20 / $2 = 10x. This means the market is willing to pay 10 times the company’s earnings per share. The other options represent different valuation metrics or incorrect calculations of the P/E ratio.

This question tests the understanding of how credit rating agencies assess the creditworthiness of bond issuers. S&P’s rating scale categorizes bonds based on their capacity to meet financial commitments. Bonds rated ‘BBB’ and above are considered investment grade, indicating an adequate to extremely strong capacity to meet obligations. Bonds rated ‘BB’ and below are classified as non-investment grade or high-yield, signifying a greater vulnerability to adverse economic conditions and a higher risk of default. Therefore, an issuer with an ‘A’ rating demonstrates a strong capacity to meet financial commitments, making it a higher quality investment compared to those rated ‘BB’ or ‘CCC’.

The question tests the understanding of how diversification affects portfolio risk, specifically when combining assets with less than perfect positive correlation. The provided text states that portfolio risk is not a simple weighted average of individual asset risks. The formula for portfolio risk includes a covariance term (2w1w2ρ1,2σ1σ2) which accounts for the interaction between assets. When the correlation coefficient (ρ1,2) is less than 1, this covariance term reduces the overall portfolio risk compared to a simple weighted average. The example calculations in the text demonstrate that as the correlation coefficient decreases from +1 to 0, the portfolio standard deviation also decreases, illustrating the risk reduction benefit of diversification. Therefore, combining assets with a correlation coefficient of 0.8 will result in a portfolio risk that is lower than a simple weighted average of the individual asset risks, and also lower than if the correlation were perfect (+1).

The question tests the understanding of how interest rate changes affect the downside risk measure of a convertible bond. The provided text explicitly states that the ‘investment value’ is used to measure downside risk by comparing it to the market price. However, it also highlights a flaw: this measure is imperfect because the ‘straight value’ (which is closely related to the investment value) fluctuates with interest rates. Therefore, while the investment value is the basis for the calculation, its sensitivity to interest rate changes makes it an imperfect indicator of true downside risk. Option A correctly identifies this limitation, acknowledging that the investment value itself is influenced by interest rate movements, thus impacting its reliability as a standalone measure of downside risk. Option B is incorrect because the premium over the straight value is a calculation derived from the investment value, not the primary measure of downside risk itself. Option C is incorrect as the yield to maturity is a measure of return, not downside risk. Option D is incorrect because while the embedded option has value, the question specifically asks about the downside risk measure related to the investment value, not the option’s contribution to the bond’s overall value.

This question tests the understanding of the fundamental difference between debt and equity securities. Debt securities represent a loan to an entity with a promise of repayment of principal and interest, while equity securities represent ownership in an entity. Treasury bills are short-term debt instruments issued by the government, making them a prime example of a debt security. Ordinary shares represent ownership and voting rights, making them equity. A banker’s acceptance is a time draft guaranteed by a bank, facilitating trade, and is also a form of debt. A convertible security, while having debt-like features (interest payments), also contains an embedded option to convert into equity, making it a hybrid instrument, but its primary classification is not purely debt in the same way as a Treasury bill.

The Dow Theory identifies trends by observing successive highs and lows. A primary uptrend is confirmed when a market index makes successively higher highs and successively higher lows. Conversely, a primary downtrend is indicated by successively lower highs and successively lower lows. Day-to-day fluctuations are considered noise and do not impact the long-term trend identification according to the Dow Theory. Secondary movements are shorter-term counter-trends within the primary trend.

The question tests the understanding of how Exchange-Traded Funds (ETFs) are created and redeemed, specifically focusing on the role of participating dealers. Unlike typical unit trusts where units are created for individual investors, ETF units are created or redeemed in large blocks by participating dealers. These dealers interact with the ETF sponsor by delivering a basket of underlying securities to create ETF units or by receiving the underlying securities in exchange for ETF units upon redemption. This mechanism is crucial for maintaining the link between the ETF’s market price and its Net Asset Value (NAV), facilitating arbitrage. Option B is incorrect because while ETFs track an index, the creation/redemption process involves physical securities or derivatives, not just index performance. Option C is incorrect as ETFs are traded on exchanges like stocks, but their creation/redemption mechanism is distinct from typical stock issuance. Option D is incorrect because while ETFs aim to minimize costs, the creation/redemption process is a fundamental operational aspect, not solely a cost-saving measure.

The question tests the understanding of what constitutes a well-functioning financial market. A key characteristic of efficient markets is the presence of numerous buyers and sellers, which facilitates price discovery and liquidity. Having ‘few buyers and sellers’ would lead to market manipulation and reduced liquidity, hindering efficient price formation. Therefore, this is the exception to the characteristics of a good financial market.

A value-weighted index, such as the Straits Times Index, assigns greater influence to companies with larger market capitalizations. This means that a price change in a high-market-cap company will have a more significant impact on the index’s movement than a price change in a low-market-cap company. In the given scenario, Company X has a significantly higher market value ($52.5 million) compared to Company Y ($9.3 million) and Company Z ($5.2 million). Therefore, a price increase in Company X will contribute more to the overall index value than an equivalent percentage price increase in Company Y or Z. This is the defining characteristic of a value-weighted series, as opposed to price-weighted (where higher priced stocks have more influence) or equal-weighted (where all stocks have the same influence).

This question tests the understanding of Porter’s Five Forces model, specifically focusing on the ‘Threat of New Entrants’. High capital requirements, significant economies of scale, and established distribution channels are all factors that create barriers to entry, making it difficult for new companies to enter an industry and compete effectively. This reduces the threat of new entrants, which in turn can lead to higher industry profitability. Option B describes factors that increase rivalry among existing competitors. Option C relates to the bargaining power of buyers. Option D describes factors that increase the bargaining power of suppliers.

The Sharpe ratio measures excess return per unit of total risk, where total risk is represented by standard deviation. Portfolio B has a higher Sharpe ratio (0.50) compared to Portfolio A (0.27) and the Market (0.39), indicating superior risk-adjusted performance. This means Portfolio B generated more return for each unit of total risk taken.

The Coefficient of Variation (CV) is a measure of relative variability, indicating the risk per unit of expected return. It is calculated by dividing the standard deviation of returns by the expected rate of return. A lower CV indicates a more efficient investment, meaning it offers a better risk-adjusted return. In this scenario, Investment A has a CV of 0.80 (0.08 / 0.10), while Investment B has a CV of 1.33 (0.20 / 0.15). Therefore, Investment A is more attractive on a risk-per-unit-of-return basis.

The question tests the understanding of how the offer price of a unit trust is determined, specifically focusing on the inclusion of expenses related to the creation of new units. The offer price is designed to cover the cost of acquiring the underlying securities at their market value, plus any transaction costs associated with purchasing those securities. Brokerage commissions and clearing fees are direct costs incurred when buying securities in the market, and therefore, they are added to the Net Asset Value (NAV) per unit to arrive at the offer price. Manager’s initial charge is also part of the offer price calculation, but the question specifically asks about expenses related to the *purchase* of securities. Accrued income and cash held by the trust are components of the NAV itself, not separate additions to the offer price calculation beyond the NAV. The bid price, conversely, reflects the price at which units are repurchased, and would typically deduct selling expenses.

The Dow Theory identifies market trends by observing successive highs and lows. An upward trend (bull market) is confirmed when the market consistently makes higher highs and higher lows. Conversely, a downward trend (bear market) is indicated by lower highs and lower lows. Secondary movements are temporary counter-trends within the primary trend, and daily fluctuations are considered insignificant for long-term trend analysis. Therefore, a sustained period of rising peaks and troughs signifies a bullish primary movement.

A breakaway gap signifies a significant price movement that breaks out of an established trading pattern. This type of gap is typically associated with strong underlying sentiment, either bullish or bearish. For a bullish breakout to be confirmed, it should ideally be accompanied by a substantial increase in trading volume, indicating strong conviction behind the price move. The other options describe different types of gaps or related concepts: a runaway gap occurs during a trend acceleration, an exhaustion gap signals the end of a trend, and a price pattern breakout without significant volume might not be considered a confirmed breakaway gap.

This question tests the understanding of the inverse relationship between bond prices and yields, a fundamental concept in fixed income securities. When market yields rise above a bond’s coupon rate, investors demand a higher return. To achieve this higher yield, the bond must be sold at a price lower than its par value, known as a discount. Conversely, if market yields fall below the coupon rate, the bond’s price will rise above par (a premium) to reflect the lower required return. The provided table in the CMFAS syllabus (Table 8.11(a)) illustrates this: as the required yield increases from 10% to 14%, the bond value decreases from 112.46% to 89.41%. Therefore, when market yields are higher than the coupon rate, the bond trades at a discount.

The question tests the understanding of the role of a sponsor in the Singapore stock market, specifically concerning listings on Catalist. The Monetary Authority of Singapore (MAS) oversees the financial industry, but the SGX Catalist board has a specific regulatory framework where a sponsor plays a crucial role in assessing the suitability of listing candidates, unlike the Mainboard which has explicit quantitative requirements. Therefore, the sponsor’s primary responsibility is to ensure the company meets the listing criteria as determined by the exchange’s rules and their own professional judgment, rather than directly approving the prospectus with MAS or guaranteeing the share price. The MAS registers the prospectus for all offerings, and while the sponsor’s due diligence is vital, it’s not the MAS that directly approves the listing on Catalist; it’s the SGX, guided by the sponsor’s assessment.

A breakaway gap signifies a significant price movement that breaks out of an established trading pattern. The accompanying heavy trading volume is crucial for confirming the strength and validity of this breakout, indicating strong conviction from market participants. Without this confirmation, the gap might be considered less reliable or potentially a false signal. Therefore, an upside breakout accompanied by substantial volume is the key indicator for a bullish breakaway gap.

This question tests the understanding of the fundamental difference between debt and equity securities. Debt securities represent a loan made by an investor to an issuer, with the expectation of repayment of principal and interest. Equity securities, on the other hand, represent ownership in a company. Treasury bills are short-term debt instruments issued by the government, making them a clear example of debt. Commercial paper is a short-term unsecured promissory note issued by corporations, also a form of debt. Certificates of Deposit are issued by banks in exchange for deposits, representing a debt obligation of the bank. Ordinary shares, however, represent ownership and voting rights in a company, thus falling under equity.

The question tests the understanding of the core characteristics of ordinary shares as defined in capital markets. Ordinary shareholders have a residual claim, meaning they are entitled to the company’s assets only after all other creditors and preference shareholders have been paid. This is a fundamental concept of equity. Limited liability means their potential losses are capped at their initial investment. While preference shares have fixed dividends and are often seen as hybrid, ordinary shares represent true ownership with the potential for unlimited upside and downside, subject to their initial investment.

This question tests the understanding of how to calculate portfolio returns when there are cash flows within the measurement period, specifically deposits made at the end of the period. The correct approach, as per the provided material, is to treat the deposit as if it were made at the beginning of the period for the purpose of calculating the return. This means adding the deposit to the beginning value before calculating the return. The formula used is: Return = (Ending Value – Beginning Value – Deposit) / Beginning Value. In this scenario, the beginning value is $50 million, the ending value is $53 million, and the deposit is $5 million. Therefore, the calculation is ($53 million – $50 million – $5 million) / $50 million = -$2 million / $50 million = -4%. Option B incorrectly subtracts the deposit from the ending value before comparing it to the beginning value. Option C incorrectly adds the deposit to the ending value. Option D incorrectly calculates the return based on the net change without properly accounting for the timing of the cash flow.

The Efficient Market Hypothesis (EMH) posits that all available information is already reflected in share prices, making it impossible to consistently achieve superior returns through analysis. Therefore, an investor who believes in EMH would not expect to gain an advantage by actively researching undervalued companies or predicting market trends. Instead, a passive, buy-and-hold strategy, or investing in index funds that mirror market performance, aligns with the principles of EMH. Active management, which involves security selection, sector rotation, and market timing, assumes that such strategies can lead to outperformance, contradicting the core tenets of EMH.

The Price-to-Earnings (P/E) ratio is a valuation metric that compares a company’s current market price per share to its earnings per share (EPS). It indicates how much investors are willing to pay for each dollar of a company’s earnings. A higher P/E ratio generally suggests that investors expect higher future earnings growth, or that the stock is overvalued. Conversely, a lower P/E ratio might indicate lower growth expectations or that the stock is undervalued. The question describes a scenario where a company’s stock price is $20 and its earnings per share are $2. Calculating the P/E ratio: $20 / $2 = 10x. This means the market is willing to pay $10 for every $1 of the company’s earnings. The other options represent different valuation metrics or incorrect calculations of the P/E ratio.

This question tests the understanding of how different industries are affected by economic downturns, a key concept in macroeconomic analysis for investment decisions. Defensive industries, by definition, are those whose products or services are essential and thus experience relatively stable demand even during recessions. Food and public utilities are classic examples because consumers must continue to purchase food and pay for essential services like electricity and water, regardless of economic conditions. Cyclical industries, on the other hand, are highly sensitive to economic fluctuations, with demand for their products (like durable goods) often decreasing significantly during recessions as consumers postpone non-essential purchases. Growth industries are expected to expand at a rate significantly above average, often driven by innovation or changing consumer preferences, and while they may be impacted by economic downturns, their long-term trajectory is one of expansion. Interest-sensitive industries are primarily influenced by changes in interest rates, which can affect borrowing costs and investment decisions, but their direct correlation to recessionary impacts is less pronounced than that of cyclical industries.

The question tests the understanding of how different fund types manage their portfolios in relation to market movements. Index funds are designed to passively track a specific market index. This means their holdings mirror the index’s composition, and they are fully invested in those securities. Therefore, if the overall market rises, an index fund will typically follow that upward trend, and if the market declines, the fund will also decline. Balanced funds, on the other hand, aim for a mix of income and growth, often holding a relatively constant mix of equities and bonds, which might dampen volatility compared to a pure equity index fund. Multi-asset funds diversify across more than two asset classes and rely on a fund manager’s tactical calls, which can lead to different performance patterns than a passively managed index fund. Hedge funds employ a wide variety of techniques, including short selling and derivatives, to achieve absolute returns, making their performance less predictable and often uncorrelated with broad market movements.

The question tests the understanding of how fund size impacts expenses. A smaller fund size means that fixed operating costs, such as legal expenses, represent a larger percentage of the fund’s assets. This increased cost burden can negatively affect the fund’s overall performance and total expense ratio. Conversely, larger funds can absorb these fixed costs more efficiently, leading to a lower impact on performance. Therefore, a fund with a smaller asset base is more susceptible to the dilutive effect of fixed operating expenses.