1Which of the following best defines return in a financial context?
A.The gain or loss of a security in a particular period
B.The uncertainty associated with an investment
C.The fixed interest rate provided by a bank
D.The total loss incurred from an investment
Correct Answer: The gain or loss of a security in a particular period
Explanation:
Return consists of the income and the capital gains relative to an investment, representing the total gain or loss over a specific period.
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2What is the formula for calculating the Holding Period Return (HPR) on a stock?
A.
B.
C.
D.
Correct Answer:
Explanation:
HPR is calculated as the sum of capital appreciation () and income (Dividend) divided by the initial investment ().
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3If you bought a share for 110, and received a dividend of $5, what is your percentage return?
A.12%
B.15%
C.10%
D.5%
Correct Answer: 15%
Explanation:
Gain = . Return = .
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4Which statistical measure is most commonly used to quantify the total risk of a single asset?
A.Correlation Coefficient
B.Median
C.Mode
D.Standard Deviation
Correct Answer: Standard Deviation
Explanation:
Standard Deviation measures the dispersion of returns around the mean, representing the total risk (volatility) of the asset.
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5The Expected Return () of a single asset given various economic scenarios is calculated as:
A.The sum of all possible returns
B.The return with the highest probability only
C.The weighted average of possible returns, where weights are the probabilities of occurrence
D.The highest possible return minus the lowest possible return
Correct Answer: The weighted average of possible returns, where weights are the probabilities of occurrence
Explanation:
Expected return is the sum of the product of each possible return and its associated probability: .
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6An investment has a 50% chance of earning a 20% return and a 50% chance of earning a 10% return. What is the Expected Return?
A.15%
B.30%
C.10%
D.12.5%
Correct Answer: 15%
Explanation:
.
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7Which coefficient measures the risk per unit of return, allowing for comparison between assets with different expected returns?
A.Correlation
B.Covariance
C.Coefficient of Variation
D.Beta
Correct Answer: Coefficient of Variation
Explanation:
The Coefficient of Variation (CV) is calculated as . It measures the relative variability or risk per unit of expected return.
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8Risk that represents the portion of an asset's risk that can be eliminated through diversification is called:
A.Unsystematic Risk
B.Systematic Risk
C.Market Risk
D.Beta Risk
Correct Answer: Unsystematic Risk
Explanation:
Unsystematic risk (also known as specific or diversifiable risk) is unique to a specific company or industry and can be reduced through diversification.
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9In financial management, Leverage generally refers to:
A.The use of equity to finance assets
B.Reducing the debt in the capital structure
C.Investing only in risk-free assets
D.The use of fixed-cost assets or funds to magnify returns to owners
Correct Answer: The use of fixed-cost assets or funds to magnify returns to owners
Explanation:
Leverage involves using fixed costs (either operating fixed costs or financial fixed costs like interest) to increase the potential return to shareholders.
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10Which type of leverage is associated with the relationship between Sales and EBIT (Earnings Before Interest and Taxes)?
A.Operating Leverage
B.Working Capital Leverage
C.Combined Leverage
D.Financial Leverage
Correct Answer: Operating Leverage
Explanation:
Operating leverage measures the sensitivity of EBIT to changes in Sales revenue, driven by fixed operating costs.
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11What is the formula for Degree of Operating Leverage (DOL) at a specific level of sales?
A.
B.
C.
D.
Correct Answer:
Explanation:
DOL is calculated as Contribution Margin divided by Operating Income (EBIT). Formula: .
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12If a firm has High Operating Leverage, it implies:
A.A small change in Sales will result in a large change in EBIT
B.A small change in Sales will result in a small change in EBIT
C.The firm has no fixed costs
D.The firm has very high variable costs compared to fixed costs
Correct Answer: A small change in Sales will result in a large change in EBIT
Explanation:
High operating leverage means high fixed costs. Once fixed costs are covered, additional sales contribute significantly to profit, magnifying the impact on EBIT.
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13Calculate the Contribution if Sales are $100,000$ and Variable Costs are $40,000$.
A.$100,000$
B.$60,000$
C.$140,000$
D.$40,000$
Correct Answer: $60,000$
Explanation:
Contribution = Sales - Variable Costs. .
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14A company has Sales of $200,000$, Variable Costs of $100,000$, and Fixed Operating Costs of $50,000$. What is the Degree of Operating Leverage (DOL)?
Financial leverage is created by using sources of funds that carry a fixed cost, such as debt (interest) or preference shares (fixed dividends).
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16The Degree of Financial Leverage (DFL) measures the sensitivity of:
A.Sales to Fixed Costs
B.Market Price to Book Value
C.EBIT to Sales
D.EPS to EBIT
Correct Answer: EPS to EBIT
Explanation:
DFL measures the percentage change in Earnings Per Share (EPS) resulting from a percentage change in EBIT.
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17What is the formula for Degree of Financial Leverage (DFL) assuming no preference capital?
A.
B.
C.
D.
Correct Answer:
Explanation:
DFL is the ratio of Operating Income (EBIT) to Taxable Income (EBT). Since , the formula is .
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18If a company has EBIT of $100,000$ and Interest expenses of $20,000$, what is the DFL?
A.1.20
B.5.0
C.1.25
D.0.8
Correct Answer: 1.25
Explanation:
DFL = .
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19Combined Leverage (DCL) is calculated as:
A.
B.
C.
D.
Correct Answer:
Explanation:
Combined leverage measures the total effect of operating and financial leverage and is the product of the two degrees.
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20Combined Leverage measures the relationship between changes in Sales and changes in:
A.EPS
B.EBIT
C.Operating Costs
D.EBT
Correct Answer: EPS
Explanation:
Combined leverage looks at the total impact on the bottom line (EPS) resulting from top-line changes (Sales).
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21Which of the following formulas represents the Degree of Combined Leverage (DCL)?
A.
B.
C.
D.
Correct Answer:
Explanation:
Since and , multiplying them cancels out EBIT, resulting in .
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22If DOL is 2.5 and DFL is 2.0, what is the Degree of Combined Leverage?
A.4.5
B.1.25
C.5.0
D.0.5
Correct Answer: 5.0
Explanation:
DCL = .
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23What is the Variance () of returns if the returns are 5%, 10%, and 15% with equal probability (Mean = 10%)?
A.50
B.16.67
C.12.5
D.25
Correct Answer: 16.67
Explanation:
Deviations: , , . Sum = 50. Average (Variance) = .
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24Operating leverage is a measure of:
A.Business Risk
B.Interest Rate Risk
C.Financial Risk
D.Market Risk
Correct Answer: Business Risk
Explanation:
Operating leverage reflects the cost structure of the business (fixed vs variable), which is a core component of Business Risk.
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25Financial leverage is a measure of:
A.Business Risk
B.Financial Risk
C.Systematic Risk
D.Operational Risk
Correct Answer: Financial Risk
Explanation:
Financial leverage introduces the risk of default on fixed financial obligations, which is known as Financial Risk.
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26If a company has no debt and no preference shares, its Financial Leverage will be:
A.Infinite
B.1
C.Negative
D.0
Correct Answer: 1
Explanation:
If there is no interest, EBIT = EBT. Therefore, DFL = . It signifies no magnification of earnings.
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27A firm with high fixed operating costs and low variable costs is said to be:
A.Low Leverage
B.Labor Intensive
C.Capital Intensive
D.Risk Averse
Correct Answer: Capital Intensive
Explanation:
Capital intensive firms (like manufacturing or utilities) rely heavily on machinery/plant (fixed costs) rather than labor (variable costs), resulting in high operating leverage.
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28Which of the following is true regarding Trading on Equity?
A.It refers to using debt to increase the return to equity shareholders
B.It refers to trading shares on the stock exchange
C.It refers to issuing more equity shares
D.It implies avoiding all debt
Correct Answer: It refers to using debt to increase the return to equity shareholders
Explanation:
Trading on equity is a strategy where a company uses debt (fixed cost funds) to finance assets, hoping the return on assets exceeds the interest rate, thus boosting equity returns.
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29In the calculation of DFL, how is Preference Dividend (PD) treated if corporate tax rate is ?
A.Ignored completely
B.Added to Interest
C.Subtracted directly from EBIT
D.Adjusted as and subtracted from EBIT in the denominator
Correct Answer: Adjusted as and subtracted from EBIT in the denominator
Explanation:
Preference dividends are paid out of after-tax income. To make them comparable to pre-tax earnings (EBIT), they must be grossed up: .
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30If Sales increase by 10% and EPS increases by 40%, what is the Degree of Combined Leverage (DCL)?
A.4.0
B.400
C.0.25
D.3.0
Correct Answer: 4.0
Explanation:
DCL = .
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31If the Break-even point is high, the Operating Leverage is generally:
A.High
B.Unrelated
C.Zero
D.Low
Correct Answer: High
Explanation:
A high break-even point implies high fixed costs required to start making a profit, which corresponds to high Operating Leverage.
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32The percentage change in EBIT divided by the percentage change in Sales is the definition of:
A.ROI
B.DFL
C.DCL
D.DOL
Correct Answer: DOL
Explanation:
This is the mathematical definition of the Degree of Operating Leverage.
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33If a stock price is 2, and the expected growth rate is 5%, what is the expected return using the Gordon Growth Model ()?
A.10%
B.9%
C.5%
D.4%
Correct Answer: 9%
Explanation:
Return = or 9%.
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34Which of the following reduces the Degree of Operating Leverage?
A.Reducing Sales volume
B.Increasing Fixed Costs
C.Increasing Variable Costs per unit
D.Increasing Sales price per unit
Correct Answer: Increasing Sales price per unit
Explanation:
Increasing the sales price increases the contribution margin. A higher contribution margin relative to fixed costs lowers the leverage ratio (sensitivity) as the firm moves further away from the break-even point.
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35What indicates a favorable financial leverage?
A.ROI > Cost of Debt
B.ROI < Cost of Debt
C.ROI = Cost of Debt
D.EBIT is negative
Correct Answer: ROI > Cost of Debt
Explanation:
Financial leverage is favorable (positive) when the return earned on assets (ROI) exceeds the fixed cost of the debt used to finance them.
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36In a probability distribution of returns, a "tight" distribution (peaked curve) implies:
A.No Return
B.Low Risk
C.High Variance
D.High Risk
Correct Answer: Low Risk
Explanation:
A tight distribution means the actual outcomes are likely to be close to the expected return, implying low standard deviation (low risk).
38If a firm has a DOL of 3 and Sales increase by 5%, EBIT will increase by:
A.3%
B.8%
C.15%
D.5%
Correct Answer: 15%
Explanation:
.
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39Systematic risk is measured by:
A.Standard Deviation
B.Beta ()
C.Range
D.Variance
Correct Answer: Beta ()
Explanation:
Beta measures the volatility of an asset relative to the market, representing systematic risk.
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40If an asset's return moves in the exact opposite direction to the market return, the correlation coefficient is:
A.+1
B.0.5
C.-1
D.0
Correct Answer: -1
Explanation:
A correlation coefficient of -1 indicates a perfect negative correlation.
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41Company A has high operating leverage and Company B has low operating leverage. In an economic downturn (falling sales), which company will suffer a sharper decline in EBIT?
A.Company A
B.Both will be equal
C.Neither will suffer
D.Company B
Correct Answer: Company A
Explanation:
High operating leverage magnifies both gains and losses. In a downturn, the high fixed costs of Company A will cause profits to drop more steeply.
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42The Indifference Point in financial management refers to the level of EBIT where:
A.Sales equal Variable Costs
B.Total Revenue equals Total Costs
C.EPS of two different financing plans are equal
D.The firm goes bankrupt
Correct Answer: EPS of two different financing plans are equal
Explanation:
The indifference point is the EBIT level at which the Earnings Per Share (EPS) is the same regardless of the debt-equity mix chosen.
Correct Answer: It is tax-deductible, reducing taxable income
Explanation:
Interest is an expense subtracted before tax is calculated, thereby reducing the actual tax bill paid by the company.
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45Real Return differs from Nominal Return because Real Return adjusts for:
A.Risk
B.Dividends
C.Inflation
D.Taxes
Correct Answer: Inflation
Explanation:
Real Return is the nominal return adjusted for the purchasing power lost due to inflation ().
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46If Probability and . What is the variance?
A.24
B.4.9
C.16
D.20
Correct Answer: 24
Explanation:
. Var = .
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47Which leverage explains the relationship between % change in EBT and % change in EBIT?
A.Total Leverage
B.Financial Leverage
C.Operating Leverage
D.Combined Leverage
Correct Answer: Financial Leverage
Explanation:
Since Tax is usually a flat rate, the % change in EBT is synonymous with % change in Earnings After Tax or EPS (for constant shares). This relationship is defined by Financial Leverage.
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48A firm has a negative DFL. This implies:
A.Sales are zero
B.The firm has no debt
C.EBIT is less than the Interest expense
D.Tax rate is negative
Correct Answer: EBIT is less than the Interest expense
Explanation:
If , the denominator () becomes negative, resulting in a negative DFL, indicating an operating loss after interest.
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49Which of the following is NOT required to calculate Operating Leverage?
A.Variable Costs
B.Sales Revenue
C.Fixed Operating Costs
D.Interest Expense
Correct Answer: Interest Expense
Explanation:
Interest expense is a financial cost, used for Financial Leverage, not Operating Leverage.
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50Total Risk of a firm is composed of:
A.Business Risk + Financial Risk
B.Market Risk + Interest Risk
C.Operating Risk + Sales Risk
D.Internal Risk + External Risk
Correct Answer: Business Risk + Financial Risk
Explanation:
In the context of leverage, Total Risk is the combination of Business Risk (Operating Leverage) and Financial Risk (Financial Leverage).