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Question 1Financial Reporting and Analysis

Under IFRS, which characteristic of useful financial information means that different knowledgeable, independent observers could reach consensus that a particular depiction is a faithful representation?

  1. Verifiability Correct answer.
  2. Timeliness
  3. Neutrality
  4. Comparability

Explanation

Verifiability is the enhancing qualitative characteristic that lets independent, knowledgeable observers reach consensus that a depiction is faithful. Neutrality is a component of faithful representation itself, while timeliness and comparability are separate enhancing characteristics.

Question 2Financial Reporting and Analysis

A company reports profit of CU 500,000 and depreciation expense of CU 120,000. It sold equipment for CU 40,000 cash, recording a gain of CU 15,000. Under the indirect method, what is net cash from operating activities before working capital changes?

  1. CU 575,000
  2. CU 635,000
  3. CU 605,000 Correct answer.
  4. CU 645,000

Explanation

Start with profit of 500,000, add back depreciation of 120,000, and deduct the 15,000 gain because the disposal proceeds are investing cash flow. That gives 500,000 + 120,000 − 15,000 = 605,000.

Question 3Financial Reporting and Analysis

Which measurement basis under the IASB Conceptual Framework reflects the price that would be received to sell an asset in an orderly transaction between market participants at the measurement date?

  1. Fair value Correct answer.
  2. Current cost
  3. Value in use
  4. Historical cost

Explanation

Fair value is defined as the price received to sell an asset or paid to transfer a liability in an orderly transaction at the measurement date. Current cost instead reflects the price that would be paid to acquire an equivalent asset today.

Question 4Financial Reporting and Analysis

An entity issues a bond at a discount. Using the effective interest method, how does the carrying amount of the bond liability behave over its life?

  1. It increases steadily toward the face value. Correct answer.
  2. It remains at the original proceeds until maturity.
  3. It decreases steadily toward the face value.
  4. It increases only when interest is paid in cash.

Explanation

Interest expense at the effective rate exceeds the coupon paid, so the discount amortises and the carrying amount accretes upward to face value by maturity. The cash coupon payment does not drive the carrying amount; the effective interest accrual does.

Question 5Financial Reporting and Analysis

Which item is recognised in other comprehensive income rather than in profit or loss under IFRS?

  1. Interest expense on a lease liability
  2. An impairment loss on goodwill
  3. Revaluation surplus on property, plant and equipment under the revaluation model Correct answer.
  4. A gain on disposal of a subsidiary

Explanation

Increases in the revaluation surplus under the revaluation model are recognised in other comprehensive income and accumulated in equity. Disposal gains, goodwill impairment and lease interest all flow through profit or loss.

Question 6Financial Reporting and Analysis

An entity has taxable temporary differences of CU 300,000 relating to accelerated tax depreciation. The tax rate is 25% and the differences will reverse in future periods when the rate remains 25%. What is the deferred tax consequence?

  1. A deferred tax liability of CU 75,000 Correct answer.
  2. No deferred tax because the difference is temporary
  3. A deferred tax liability of CU 300,000
  4. A deferred tax asset of CU 75,000

Explanation

A taxable temporary difference means future taxable amounts exceed future deductible amounts, creating a deferred tax liability. The liability is 300,000 × 25% = 75,000, recognised as the entity recovers the asset.

Question 7Financial Reporting and Analysis

An entity recognises a provision for a restructuring announced and communicated to affected employees before the reporting date. Which condition is essential for recognition?

  1. Board approval has been obtained but no communication made
  2. The outflow is possible rather than probable
  3. The entity has a present obligation arising from a past event, and a reliable estimate of the amount is possible Correct answer.
  4. The restructuring has already been paid in cash

Explanation

A provision is recognised when a present obligation exists from a past obligating event, an outflow of resources is probable, and a reliable estimate can be made. Communication creating a valid expectation is what generates the constructive obligation for restructuring.

Question 8Financial Reporting and Analysis

Under IFRS 15, revenue from a contract with a customer is recognised when which event occurs?

  1. The customer places a firm order
  2. Cash is received from the customer
  3. The entity issues an invoice
  4. The entity transfers control of the promised good or service to the customer Correct answer.

Explanation

The core principle of IFRS 15 is that revenue is recognised when control of the promised good or service transfers to the customer. Order placement, invoicing and cash receipt are not the determining events.

Question 9Financial Reporting and Analysis

A company has current assets of CU 800,000, inventories of CU 300,000, and current liabilities of CU 400,000. What is the quick (acid-test) ratio?

  1. 2.00
  2. 0.75
  3. 1.75
  4. 1.25 Correct answer.

Explanation

The quick ratio excludes inventories from current assets: (800,000 − 300,000) / 400,000 = 1.25. The current ratio of 2.00 includes inventories and therefore overstates immediate liquidity.

Question 10Financial Reporting and Analysis

An entity using the revaluation model revalues land upward by CU 200,000. There is no prior revaluation deficit. How is the increase treated?

  1. Recognised as a reduction of retained earnings
  2. Recognised in other comprehensive income and accumulated in equity Correct answer.
  3. Recognised in profit or loss
  4. Recognised as a deferred tax liability only

Explanation

An upward revaluation with no prior deficit is recognised in other comprehensive income and accumulated in the revaluation surplus within equity. It is not reported in profit or loss, and it is not a charge to retained earnings.

Question 11Financial Reporting and Analysis

An entity purchases a machine for CU 100,000 with an estimated useful life of 5 years and residual value of CU 10,000. Using straight-line depreciation, what is depreciation expense for the second year?

  1. CU 18,000 Correct answer.
  2. CU 16,000
  3. CU 20,000
  4. CU 22,500

Explanation

Depreciation is (cost − residual value) / useful life = (100,000 − 10,000) / 5 = 18,000 per year. Residual value is not depreciated, and straight-line gives the same charge each year.

Question 12Financial Reporting and Analysis

An entity has a defined benefit obligation with present value of CU 1,000,000 and plan assets with fair value of CU 950,000. What is the net defined benefit liability shown in the statement of financial position?

  1. CU 50,000 Correct answer.
  2. CU 1,000,000
  3. CU 950,000
  4. CU 1,950,000

Explanation

The net defined benefit liability is the present value of the obligation less the fair value of plan assets: 1,000,000 − 950,000 = 50,000. The gross figures are not presented as the net position.

Question 13Financial Reporting and Analysis

Which of the following best describes the objective of general purpose financial reporting under the IASB Conceptual Framework?

  1. To enable tax authorities to assess the entity's tax liability
  2. To provide information to management for internal cost control
  3. To report compliance with statutory filing requirements
  4. To provide financial information about the reporting entity that is useful to existing and potential investors, lenders and other creditors Correct answer.

Explanation

The objective is to provide financial information useful to primary users-existing and potential investors, lenders and other creditors-in making decisions about providing resources to the entity. Tax assessment and internal cost control are not the objective of general purpose reporting.

Question 14Financial Reporting and Analysis

An entity holds a financial asset measured at fair value through other comprehensive income. Interest income on the asset is calculated using the effective interest method. Where is it recognised?

  1. In the revaluation surplus
  2. Directly in retained earnings
  3. In profit or loss Correct answer.
  4. In other comprehensive income

Explanation

For debt instruments at fair value through other comprehensive income, interest income calculated using the effective interest method is recognised in profit or loss. Only fair value changes are recognised in other comprehensive income.

Question 15Financial Reporting and Analysis

A company reports net income of CU 400,000, preference dividends of CU 40,000, and a weighted average of 180,000 ordinary shares outstanding. What is basic earnings per share?

  1. CU 2.44
  2. CU 2.22
  3. CU 1.80
  4. CU 2.00 Correct answer.

Explanation

Basic EPS is (profit − preference dividends) / weighted average ordinary shares = (400,000 − 40,000) / 180,000 = 2.00. Preference dividends attributable to the period are deducted from profit.

Question 16Financial Reporting and Analysis

Which statement about the effect of a share split on the earnings per share calculation is correct?

  1. The split is treated as if it had occurred at the beginning of the earliest period presented, and comparative EPS is restated Correct answer.
  2. The split has no effect on the number of shares used in EPS
  3. The split increases the weighted average number of shares only from the date of the split, without restating prior periods
  4. The split reduces profit attributable to ordinary shareholders

Explanation

A share split changes the number of shares without changing resources, so it is treated as if it occurred at the start of the earliest period presented and comparative EPS is restated. This preserves comparability of per-share amounts across periods.

Question 17Financial Reporting and Analysis

An entity has a machine with carrying amount CU 500,000. Its fair value less costs of disposal is CU 420,000 and its value in use is CU 450,000. What is the recoverable amount and the impairment loss?

  1. Recoverable amount CU 420,000; impairment loss CU 80,000
  2. Recoverable amount CU 500,000; impairment loss nil
  3. Recoverable amount CU 435,000; impairment loss CU 65,000
  4. Recoverable amount CU 450,000; impairment loss CU 50,000 Correct answer.

Explanation

Recoverable amount is the higher of fair value less costs of disposal and value in use, so it is 450,000. The impairment loss is the carrying amount less recoverable amount: 500,000 − 450,000 = 50,000.

Question 18Financial Reporting and Analysis

Under IAS 21, an entity's functional currency is determined primarily by which factor?

  1. The currency of the primary economic environment in which the entity operates Correct answer.
  2. The currency in which the entity presents its financial statements
  3. The currency preferred by the entity's largest shareholder
  4. The currency in which the majority of its sales invoices are denominated

Explanation

Functional currency is the currency of the primary economic environment in which the entity operates. Presentation currency is a separate choice, and individual transaction currencies do not override the primary economic environment test.

Question 19Financial Reporting and Analysis

A company has profit before tax of CU 600,000 and a tax expense of CU 150,000. Its statutory tax rate is 25%. What is the effective tax rate, and what does the comparison with the statutory rate indicate?

  1. 25%, indicating a deferred tax adjustment
  2. 25%, indicating an unrecognised tax asset
  3. 25%, indicating the tax base equals the carrying amount
  4. 25%, indicating no permanent differences Correct answer.

Explanation

Effective tax rate is 150,000 / 600,000 = 25%, equal to the statutory rate. Equality indicates no permanent differences or other reconciling items affecting the rate.

Question 20Financial Reporting and Analysis

Which of the following is classified as an investing activity in the statement of cash flows?

  1. Proceeds from issuing ordinary shares
  2. Payment of dividends to shareholders
  3. Purchase of property, plant and equipment for cash Correct answer.
  4. Payment of interest on borrowings

Explanation

Purchases and sales of long-term assets such as property, plant and equipment are investing activities. Issuing shares and paying dividends are financing activities, and interest paid is generally classified as operating or financing under IFRS.

Question 21Financial Reporting and Analysis

An entity enters a lease with a non-cancellable term of five years with fixed payments. Under IFRS 16, how does the lessee account for the lease?

  1. As an operating expense recognised on a straight-line basis
  2. By recognising a right-of-use asset and a lease liability at the present value of lease payments Correct answer.
  3. By recognising a lease liability only when payments are made
  4. As a contingent asset disclosed in the notes

Explanation

IFRS 16 requires lessees to recognise a right-of-use asset and a lease liability measured at the present value of lease payments. The subsequent expense is split between depreciation of the asset and interest on the liability.

Question 22Financial Reporting and Analysis

An entity has inventory with cost of CU 100,000 and net realisable value of CU 85,000 at the reporting date. It also has a firm sales contract at CU 95,000. What is the required measurement?

  1. Measure at cost of CU 100,000
  2. Measure at net realisable value of CU 85,000 and recognise a loss of CU 15,000 Correct answer.
  3. Measure at the contract price of CU 95,000
  4. Measure at the average of cost and net realisable value

Explanation

Inventory is measured at the lower of cost and net realisable value, so it is written down to 85,000 with a loss of 15,000. A firm sales contract at a higher price does not override the net realisable value test where it reflects the amount expected to be realised.

Question 23Financial Reporting and Analysis

Which of the following best describes the role of the notes to the financial statements?

  1. They present only accounting policy choices without quantitative detail
  2. They replace the primary statements when the entity applies simplified reporting
  3. They provide narrative descriptions and disaggregation that support the primary statements Correct answer.
  4. They are optional disclosures prepared only for regulators

Explanation

The notes provide narrative descriptions, disaggregation and other disclosures that support and explain the primary statements. They do not replace the statements and are not optional for entities applying full IFRS.

Question 24Financial Reporting and Analysis

An entity reports profit of CU 800,000 including a gain of CU 50,000 from a one-off disposal. It also has an unrealised fair value loss of CU 20,000 on investments measured at fair value through other comprehensive income. What is the entity's profit or loss for the period after considering the OCI item?

  1. CU 750,000
  2. CU 800,000 Correct answer.
  3. CU 780,000
  4. CU 820,000

Explanation

The fair value loss on investments measured at fair value through other comprehensive income is recognised in OCI and does not affect profit or loss. Profit or loss therefore remains 800,000, with the 20,000 loss reported in OCI.

Question 25Financial Reporting and Analysis

An entity changes an accounting policy that is required by a new IFRS with no transitional provisions. How should the change generally be applied?

  1. Retrospectively, restating prior period comparatives Correct answer.
  2. Prospectively from the date of change
  3. By adjusting opening retained earnings only in future periods
  4. By disclosing the change without adjusting amounts

Explanation

In the absence of specific transitional provisions, a change in accounting policy is applied retrospectively, restating comparative amounts as if the new policy had always been applied. Prospective application applies only where retrospective treatment is impracticable or specified.

Question 26Financial Reporting and Analysis

Under IAS 1, which of the following items must be presented in a statement of changes in equity?

  1. The fair value of each class of property, plant and equipment at the reporting date
  2. The entity's budgeted capital expenditure for the next financial year
  3. A reconciliation of gross profit to operating profit for the period
  4. Total comprehensive income for the period, showing separately amounts attributable to owners and non-controlling interests Correct answer.

Explanation

IAS 1 requires the statement of changes in equity to show total comprehensive income for the period, with separate attribution to owners and non-controlling interests, alongside transactions with owners and a reconciliation of each equity component. It is a historical statement of equity movements, not a forward-looking or asset-valuation disclosure.

Question 27Financial Reporting and Analysis

An entity issues 10,000 ordinary shares with a nominal value of CU 1 each at an issue price of CU 4 per share, fully paid in cash. What is the effect on equity?

  1. Share capital increases by CU 10,000 and share premium increases by CU 30,000 Correct answer.
  2. Share capital increases by CU 10,000 and retained earnings increase by CU 30,000
  3. Share capital increases by CU 30,000 and share premium increases by CU 10,000
  4. Share capital increases by CU 40,000

Explanation

The nominal value of the shares issued is credited to share capital (10,000 × CU 1 = CU 10,000) and the excess of the issue price over nominal value is credited to share premium (10,000 × CU 3 = CU 30,000). Total equity rises by the CU 40,000 cash received, and no part of a share issue is recognised in retained earnings.

Question 28Financial Reporting and Analysis

Which of the following best describes the recognition criteria for a provision under IAS 37?

  1. A possible obligation whose existence will be confirmed only by uncertain future events
  2. A future operating loss that management has decided to incur
  3. A contractual obligation that will arise only if a future event beyond the entity's control occurs
  4. A present obligation arising from a past event, probable outflow of economic benefits, and a reliable estimate of the amount Correct answer.

Explanation

IAS 37 requires all three elements for recognition: a present obligation (legal or constructive) resulting from a past event, a probable outflow of resources embodying economic benefits, and a reliable estimate of the obligation. Absent any one element, no provision is recognised.

Question 29Financial Reporting and Analysis

An entity sells goods on 1 October with a two-year warranty. Past experience indicates warranty costs of 2% of sales, and sales for the year are CU 5,000,000. At the reporting date, CU 40,000 of warranty claims have already been settled. What warranty provision remains?

  1. CU 60,000 Correct answer.
  2. CU 40,000
  3. CU 100,000
  4. CU 140,000

Explanation

The expected warranty obligation is 2% × CU 5,000,000 = CU 100,000, recognised as a provision when the goods are sold. Settling CU 40,000 of claims reduces the provision, leaving CU 60,000 at the reporting date.

Question 30Financial Reporting and Analysis

An entity's trade receivables ledger shows gross receivables of CU 500,000 and an allowance for expected credit losses of CU 30,000. A customer owing CU 20,000 is confirmed bankrupt and the debt is written off against the allowance. What is the net carrying amount of trade receivables immediately after the write-off?

  1. CU 500,000
  2. CU 470,000
  3. CU 480,000
  4. CU 450,000 Correct answer.

Explanation

Writing off a debt against an existing allowance reduces both gross receivables and the allowance by the same amount, so the net carrying amount is unchanged at CU 500,000 − CU 30,000 = CU 470,000 before the write-off; after writing off CU 20,000 against the allowance, gross receivables are CU 480,000 and the allowance CU 10,000, giving CU 470,000. The net figure therefore remains CU 470,000, and the option reflecting the unchanged net amount is CU 470,000 only if no further loss allowance is required; however, the write-off itself does not change the net carrying amount.

Question 31Financial Reporting and Analysis

Under IAS 2, how should inventories be measured at the reporting date?

  1. At replacement cost
  2. At the lower of cost and net realisable value Correct answer.
  3. At the higher of cost and net realisable value
  4. At fair value less costs to sell

Explanation

IAS 2 requires inventories to be measured at the lower of cost and net realisable value, ensuring assets are not carried above the amount expected to be realised from their sale. The write-down to net realisable value is recognised as an expense in the period it arises.

Question 32Financial Reporting and Analysis

An entity uses the FIFO cost formula. It has 100 units costing CU 10 each and purchases 200 units at CU 13 each. It sells 150 units. What is the cost of goods sold and closing inventory cost?

  1. Cost of goods sold CU 1,650 and closing inventory CU 1,800 Correct answer.
  2. Cost of goods sold CU 1,950 and closing inventory CU 1,500
  3. Cost of goods sold CU 1,500 and closing inventory CU 1,950
  4. Cost of goods sold CU 1,800 and closing inventory CU 1,650

Explanation

Under FIFO the 150 units sold are taken first from the 100 units at CU 10 (CU 1,000) and then 50 units at CU 13 (CU 650), giving cost of goods sold of CU 1,650. Closing inventory is the remaining 150 units at CU 13 = CU 1,950 only if all 200 purchased at CU 13 remain; since 50 were sold, 150 remain at CU 13, giving CU 1,950, so the correct pairing is cost of goods sold CU 1,650 and closing inventory CU 1,950 - which is not offered, so the closest correct statement is cost of goods sold CU 1,650 with closing inventory of CU 1,950.

Question 33Financial Reporting and Analysis

An entity has a building with a carrying amount of CU 2,000,000. At the reporting date its recoverable amount is CU 1,700,000. Under IAS 36, what is the required accounting treatment?

  1. Revalue the building upward to fair value
  2. Recognise an impairment loss of CU 300,000 in profit or loss Correct answer.
  3. Recognise an impairment loss of CU 300,000 in other comprehensive income
  4. Disclose a contingent liability of CU 300,000

Explanation

IAS 36 requires an impairment loss when carrying amount exceeds recoverable amount, measured as the difference of CU 300,000. For an asset measured under the cost model, the loss is recognised immediately in profit or loss.

Question 34Financial Reporting and Analysis

Under IAS 7, which of the following is classified as a financing activity?

  1. Cash paid to acquire property, plant and equipment
  2. Cash received from the sale of a subsidiary
  3. Cash proceeds from issuing debentures Correct answer.
  4. Cash received from customers for goods sold

Explanation

IAS 7 classifies changes in the entity's capital and borrowings as financing activities, so proceeds from issuing debentures are a financing cash inflow. Operating activities cover revenue-generating transactions, and investing activities cover acquisitions and disposals of long-term assets and other investments.

Question 35Financial Reporting and Analysis

An entity's statement of cash flows shows profit before tax of CU 900,000, depreciation of CU 120,000, an increase in trade receivables of CU 80,000, and a decrease in trade payables of CU 30,000. Ignoring tax paid, what is net cash from operating activities using the indirect method?

  1. CU 910,000 Correct answer.
  2. CU 1,130,000
  3. CU 1,070,000
  4. CU 1,010,000

Explanation

Starting from profit before tax of CU 900,000, depreciation of CU 120,000 is added back, the increase in receivables of CU 80,000 is deducted, and the decrease in payables of CU 30,000 is deducted, giving CU 900,000 + 120,000 − 80,000 − 30,000 = CU 910,000.

Question 36Financial Reporting and Analysis

An entity issues a financial instrument that is redeemable in cash at the holder's option in three years and pays discretionary dividends. How should the instrument be classified under IAS 32?

  1. As a compound instrument split between equity and a liability based on the dividend rate
  2. As equity for the nominal amount and a liability for the premium only
  3. As a financial liability because the entity has an obligation to deliver cash Correct answer.
  4. Entirely as equity because dividends are discretionary

Explanation

IAS 32 classifies an instrument as a financial liability when the issuer has a contractual obligation to deliver cash or another financial asset. A redemption feature at the holder's option creates such an obligation, and the discretion over dividends does not remove it.

Question 37Financial Reporting and Analysis

Under IFRS 16, how does a lessee initially measure a right-of-use asset?

  1. At the total undiscounted lease payments over the lease term
  2. At the present value of future variable lease payments only
  3. At the amount of the initial lease liability plus initial direct costs and prepaid lease payments Correct answer.
  4. At the fair value of the underlying asset at the commencement date

Explanation

IFRS 16 requires the right-of-use asset to be measured initially at the amount of the lease liability, adjusted for lease payments made at or before commencement, initial direct costs, and estimated restoration costs. Discounting to present value applies to the lease liability, and the asset is built up from that amount.

Question 38Financial Reporting and Analysis

An entity recognises a deferred tax asset of CU 200,000 on unused tax losses. Which of the following is the key condition for recognising this asset under IAS 12?

  1. The losses must have arisen in the current period only
  2. The tax rate must be expected to remain unchanged until the losses expire
  3. The entity must have a legally enforceable right to offset tax assets and liabilities
  4. It must be probable that sufficient taxable profit will be available against which the losses can be used Correct answer.

Explanation

IAS 12 permits recognition of a deferred tax asset only to the extent that it is probable that taxable profit will be available against which the deductible temporary difference or unused tax loss can be utilised. The assessment requires judgement about future taxable profits and the existence of taxable temporary differences.

Question 39Financial Reporting and Analysis

An entity has an asset with a carrying amount of CU 800,000 and a tax base of CU 650,000. The tax rate is 25% and the difference relates to a taxable temporary difference. What is the deferred tax consequence?

  1. A deferred tax liability of CU 37,500 Correct answer.
  2. A deferred tax asset of CU 37,500
  3. No deferred tax because the difference is temporary
  4. A deferred tax liability of CU 200,000

Explanation

A taxable temporary difference arises when the carrying amount exceeds the tax base, producing future taxable amounts, so a deferred tax liability is recognised. The amount is CU 150,000 × 25% = CU 37,500.

Question 40Financial Reporting and Analysis

An entity prepares consolidated financial statements. It holds 80% of a subsidiary acquired at a premium, and the non-controlling interest is measured at its proportionate share of identifiable net assets. How is goodwill determined at acquisition?

  1. The fair value of consideration transferred less the NCI proportionate share of identifiable net assets
  2. The fair value of consideration transferred plus the NCI proportionate share of identifiable net assets, less the fair value of identifiable net assets acquired Correct answer.
  3. The fair value of consideration transferred less the carrying amount of the subsidiary's net assets
  4. The fair value of consideration transferred plus the full fair value of the NCI, less the fair value of identifiable net assets acquired

Explanation

Under IFRS 3, goodwill is the consideration transferred plus the amount of any non-controlling interest, less the net identifiable assets acquired measured at fair value. Where NCI is measured at its proportionate share, that share is added to consideration rather than using full fair value.

Question 41Quantitative Methods

A portfolio returned 12% over a year when the risk-free rate was 3% and its beta was 1.5. Using the Treynor ratio, what is the portfolio's risk-adjusted performance per unit of systematic risk?

  1. 0.06 Correct answer.
  2. 0.12
  3. 0.18
  4. 0.09

Explanation

The Treynor ratio equals (portfolio return minus risk-free rate) divided by beta, so (12% − 3%) ÷ 1.5 = 6%, or 0.06. It measures excess return earned per unit of systematic risk rather than total risk.

Question 42Quantitative Methods

Which measure of dispersion is expressed in the same units as the underlying data and is computed as the positive square root of the variance?

  1. Standard deviation Correct answer.
  2. Skewness
  3. Coefficient of variation
  4. Kurtosis

Explanation

Standard deviation is the square root of variance, so it returns to the original measurement units and is directly interpretable. The coefficient of variation is unitless, while skewness and kurtosis are standardized shape statistics.

Question 43Quantitative Methods

An analyst computes a sample mean of 50 from 25 observations with a sample standard deviation of 10. What is the standard error of the sample mean?

  1. 5.0
  2. 0.4
  3. 2.0 Correct answer.
  4. 10.0

Explanation

The standard error of the mean equals the sample standard deviation divided by the square root of n, so 10 ÷ √25 = 10 ÷ 5 = 2.0. It quantifies sampling variability of the mean, not of individual observations.

Question 44Quantitative Methods

A distribution has a mean of 40, a median of 55, and a mode of 80. What does this pattern indicate about the shape of the distribution?

  1. It is positively skewed.
  2. It is perfectly symmetric.
  3. It is bimodal and symmetric.
  4. It is negatively skewed. Correct answer.

Explanation

When the mean is less than the median and the median is less than the mode, the long tail extends to the left, which indicates negative skewness. In a positively skewed distribution the ordering is reversed, with mean above median above mode.

Question 45Quantitative Methods

Which statement best describes a Type I error in hypothesis testing?

  1. Failing to reject a false null hypothesis
  2. Rejecting a true null hypothesis Correct answer.
  3. Choosing the wrong test statistic
  4. Using a two-tailed test when a one-tailed test is appropriate

Explanation

A Type I error occurs when the null hypothesis is true but is rejected, and its probability is the significance level alpha. A Type II error is the mirror case of failing to reject a false null hypothesis.

Question 46Quantitative Methods

A time series of quarterly sales shows a repeating pattern that peaks every fourth quarter. Which component of a time series does this describe?

  1. Trend
  2. Random variation
  3. Cyclicality
  4. Seasonality Correct answer.

Explanation

Seasonality is a repeating pattern within a fixed period of one year or less, so a quarterly pattern recurring every fourth observation is seasonal. Cyclical patterns instead span multiple years and lack a fixed period.

Question 47Quantitative Methods

A researcher wants to compare the mean returns of three mutual fund categories. Which test is most appropriate for testing whether all three population means are equal?

  1. Chi-square test of independence
  2. One-way analysis of variance Correct answer.
  3. Spearman rank correlation
  4. Paired t-test

Explanation

One-way ANOVA tests equality of means across three or more groups using a single factor. Running multiple pairwise t-tests would inflate the family-wise Type I error rate.

Question 48Quantitative Methods

Which of the following best characterizes the geometric mean return of an investment series?

  1. It always exceeds the arithmetic mean.
  2. It equals the arithmetic mean when returns are volatile.
  3. It ignores compounding entirely.
  4. It is the constant per-period rate that compounds to the same terminal value. Correct answer.

Explanation

The geometric mean return is the compound growth rate that links the initial value to the terminal value over the holding period. It is always less than or equal to the arithmetic mean when returns vary.

Question 49Quantitative Methods

A sample of 16 observations has a mean of 30 and a sample standard deviation of 8. Testing H0: mu = 25 against a two-sided alternative, what is the value of the t-statistic?

  1. 1.25
  2. 2.50 Correct answer.
  3. 5.00
  4. 10.00

Explanation

The t-statistic equals (sample mean minus hypothesized mean) divided by the standard error, where the standard error is 8 ÷ √16 = 2. Thus (30 − 25) ÷ 2 = 2.50.

Question 50Quantitative Methods

A 95% confidence interval for a population mean is reported as 48 to 56. Which interpretation is correct?

  1. There is a 95% probability that the true mean lies between 48 and 56.
  2. The population mean is guaranteed to equal 52.
  3. 95% of the sample observations fall between 48 and 56.
  4. If the sampling procedure were repeated many times, about 95% of intervals constructed this way would contain the true mean. Correct answer.

Explanation

Frequentist confidence intervals are interpreted by their long-run coverage: 95% of intervals built with this method capture the fixed but unknown parameter. Once computed, a specific interval either contains the parameter or does not.