Engineering Economics

Description: This quiz is designed to test your understanding of the fundamental concepts and principles of Engineering Economics.
Number of Questions: 15
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Tags: engineering economics time value of money cash flow analysis capital budgeting cost-benefit analysis
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Which of the following is NOT a component of cash flow analysis?

  1. Initial investment

  2. Annual operating costs

  3. Depreciation

  4. Sunk cost


Correct Option: D
Explanation:

Sunk cost is a cost that has already been incurred and cannot be recovered. It is therefore not included in cash flow analysis, which focuses on future cash flows.

What is the formula for calculating the present value of a single cash flow?

  1. PV = CF / (1 + r)^n

  2. PV = CF * (1 + r)^n

  3. PV = CF * r^n

  4. PV = CF / r^n


Correct Option: A
Explanation:

The formula for calculating the present value of a single cash flow is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

Which of the following is NOT a method for evaluating capital budgeting projects?

  1. Net present value (NPV)

  2. Internal rate of return (IRR)

  3. Payback period

  4. Profitability index


Correct Option: C
Explanation:

The payback period is not a method for evaluating capital budgeting projects because it does not consider the time value of money.

What is the formula for calculating the internal rate of return (IRR) of a project?

  1. IRR = (CF1 + CF2 + ... + CFn) / (Initial investment)

  2. IRR = (CF1 * (1 + r)^n + CF2 * (1 + r)^(n-1) + ... + CFn) / (Initial investment)

  3. IRR = (CF1 / (1 + r)^n + CF2 / (1 + r)^(n-1) + ... + CFn / (1 + r)) / (Initial investment)

  4. IRR = (CF1 + CF2 + ... + CFn) / (Initial investment * (1 + r)^n)


Correct Option: B
Explanation:

The formula for calculating the internal rate of return (IRR) of a project is IRR = (CF1 * (1 + r)^n + CF2 * (1 + r)^(n-1) + ... + CFn) / (Initial investment), where CF1, CF2, ..., CFn are the cash flows in each year, r is the discount rate, and n is the number of years.

Which of the following is NOT a benefit of using cost-benefit analysis?

  1. It helps decision-makers allocate resources efficiently.

  2. It allows decision-makers to compare different projects on a common basis.

  3. It takes into account the time value of money.

  4. It is easy to understand and implement.


Correct Option: D
Explanation:

Cost-benefit analysis can be complex and difficult to understand and implement, especially for large and complex projects.

What is the formula for calculating the benefit-cost ratio (BCR) of a project?

  1. BCR = (Total benefits) / (Total costs)

  2. BCR = (Total benefits - Total costs) / (Total costs)

  3. BCR = (Total benefits) / (Initial investment)

  4. BCR = (Total benefits - Total costs) / (Initial investment)


Correct Option: A
Explanation:

The formula for calculating the benefit-cost ratio (BCR) of a project is BCR = (Total benefits) / (Total costs), where total benefits are the sum of all benefits over the life of the project and total costs are the sum of all costs over the life of the project.

Which of the following is NOT a type of cost-benefit analysis?

  1. Cost-effectiveness analysis

  2. Cost-utility analysis

  3. Multi-criteria decision analysis

  4. Sensitivity analysis


Correct Option: D
Explanation:

Sensitivity analysis is a technique used to assess the impact of changes in input parameters on the results of a cost-benefit analysis. It is not a type of cost-benefit analysis itself.

What is the difference between an annuity and a perpetuity?

  1. An annuity is a series of equal cash flows that occur at regular intervals for a finite period of time, while a perpetuity is a series of equal cash flows that occur at regular intervals forever.

  2. An annuity is a series of equal cash flows that occur at regular intervals for an infinite period of time, while a perpetuity is a series of equal cash flows that occur at regular intervals for a finite period of time.

  3. An annuity is a series of unequal cash flows that occur at regular intervals for a finite period of time, while a perpetuity is a series of equal cash flows that occur at regular intervals forever.

  4. An annuity is a series of unequal cash flows that occur at regular intervals for an infinite period of time, while a perpetuity is a series of equal cash flows that occur at regular intervals for a finite period of time.


Correct Option: A
Explanation:

An annuity is a series of equal cash flows that occur at regular intervals for a finite period of time, while a perpetuity is a series of equal cash flows that occur at regular intervals forever.

What is the formula for calculating the present value of an annuity?

  1. PV = CF * [(1 - (1 + r)^-n) / r]

  2. PV = CF * [(1 + r)^n - 1] / r

  3. PV = CF * [(1 + r)^n - 1] / (1 + r)^n

  4. PV = CF * [(1 - (1 + r)^-n) / (1 + r)^n]


Correct Option: A
Explanation:

The formula for calculating the present value of an annuity is PV = CF * [(1 - (1 + r)^-n) / r], where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

Which of the following is NOT a type of depreciation?

  1. Straight-line depreciation

  2. Declining-balance depreciation

  3. Sum-of-the-years'-digits depreciation

  4. Annuity depreciation


Correct Option: D
Explanation:

Annuity depreciation is not a type of depreciation. The three main types of depreciation are straight-line depreciation, declining-balance depreciation, and sum-of-the-years'-digits depreciation.

What is the formula for calculating the annual depreciation expense using the straight-line method?

  1. Depreciation expense = (Initial cost - Salvage value) / Useful life

  2. Depreciation expense = (Initial cost + Salvage value) / Useful life

  3. Depreciation expense = (Initial cost - Salvage value) * Useful life

  4. Depreciation expense = (Initial cost + Salvage value) * Useful life


Correct Option: A
Explanation:

The formula for calculating the annual depreciation expense using the straight-line method is Depreciation expense = (Initial cost - Salvage value) / Useful life, where initial cost is the cost of the asset, salvage value is the estimated value of the asset at the end of its useful life, and useful life is the number of years the asset is expected to be used.

Which of the following is NOT a factor that affects the cost of capital?

  1. Risk

  2. Inflation

  3. Taxes

  4. Depreciation


Correct Option: D
Explanation:

Depreciation is not a factor that affects the cost of capital. The three main factors that affect the cost of capital are risk, inflation, and taxes.

What is the formula for calculating the weighted average cost of capital (WACC)?

  1. WACC = (Cost of debt * Debt ratio) + (Cost of equity * Equity ratio)

  2. WACC = (Cost of debt * Debt ratio) + (Cost of equity * (1 - Debt ratio))

  3. WACC = (Cost of debt * (1 - Debt ratio)) + (Cost of equity * Equity ratio)

  4. WACC = (Cost of debt * (1 - Debt ratio)) + (Cost of equity * (1 - Equity ratio))


Correct Option: A
Explanation:

The formula for calculating the weighted average cost of capital (WACC) is WACC = (Cost of debt * Debt ratio) + (Cost of equity * Equity ratio), where cost of debt is the interest rate on the company's debt, debt ratio is the proportion of the company's capital structure that is debt, cost of equity is the required rate of return on the company's equity, and equity ratio is the proportion of the company's capital structure that is equity.

Which of the following is NOT a type of financial statement?

  1. Balance sheet

  2. Income statement

  3. Statement of cash flows

  4. Statement of retained earnings


Correct Option: D
Explanation:

The statement of retained earnings is not a type of financial statement. The three main types of financial statements are the balance sheet, the income statement, and the statement of cash flows.

What is the purpose of a balance sheet?

  1. To show the company's financial position at a specific point in time.

  2. To show the company's financial performance over a period of time.

  3. To show the company's cash flows over a period of time.

  4. To show the company's retained earnings over a period of time.


Correct Option: A
Explanation:

The purpose of a balance sheet is to show the company's financial position at a specific point in time. It shows the company's assets, liabilities, and equity.

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