Engineering Economy Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

In Case 1, the capitalized cost (CC) is calculated using the formula CC = FC + ______

P

In Case 2, the capitalized cost (CC) is given by the formula CC = FC + ______

X

The formula for calculating the present worth of a gradient is PG = G(P/G, i%, n) = ______

[(1+i)^n-1/i]-n}(1+i)^-n

A bond is defined as a financial security note issued by businesses, corporations, or ______

<p>government</p> Signup and view all the answers

One method for bond retirement involves creating a ______ fund where periodic deposits are made.

<p>sinking</p> Signup and view all the answers

ENGINEERING ECONOMY is the analysis and evaluation of factors affecting the economic success of engineering ______.

<p>projects</p> Signup and view all the answers

SIMPLE INTEREST is based only on the ______.

<p>principal</p> Signup and view all the answers

The formula for calculating future worth is represented as ______ = P(1+ni).

<p>F</p> Signup and view all the answers

ORDINARY SIMPLE INTEREST is computed on the basis of 12 months of ______ days each.

<p>30</p> Signup and view all the answers

EXACT SIMPLE INTEREST considers the actual number of days in a given year, which is ______ days for a normal year.

<p>365</p> Signup and view all the answers

The formula for discount is represented as D = ______ - P.

<p>F</p> Signup and view all the answers

The interest deducted in advance is known as ______.

<p>discount</p> Signup and view all the answers

Rate of ______ is the discount on one unit of principal for one unit of time.

<p>discount</p> Signup and view all the answers

The formula d = 1 – (1 + ______)^-1 defines the rate of discount in relation to the rate of interest.

<p>i</p> Signup and view all the answers

Compound interest can be described as ‘interest on top of ______.'

<p>interest</p> Signup and view all the answers

In cash flow diagrams, ↑ represents receipts or positive cash flow while ↓ symbolizes ______.

<p>disbursements</p> Signup and view all the answers

The formula F = P(1 + i)^n calculates the future amount of money, where P is the present worth or ______.

<p>principal</p> Signup and view all the answers

The nominal rate of interest specifies the rate of interest and the number of ______ periods in one year.

<p>interest</p> Signup and view all the answers

The effective rate of interest, given by the formula ERi = (1 + i)^m - 1, reflects the actual rate earned on the ______ during a one-year period.

<p>principal</p> Signup and view all the answers

Continuous compounding assumes that cash payments occur once per year but compounding is ______ throughout the year.

<p>continuous</p> Signup and view all the answers

In the formula P = F(1 + i)^-n, P refers to the ______ worth or principal.

<p>present</p> Signup and view all the answers

Annuities are a series of equal payments occurring at equal intervals of time, and there are two types: ordinary annuity and ______ annuity.

<p>deferred</p> Signup and view all the answers

The formula for finding the future worth of an annuity when A is given is F = A{[(1+i)n – 1] / ______}.

<p>i</p> Signup and view all the answers

The equation of value is established by setting the sum of the values of one set of obligations to the sum of the values on the same date of ______ set of obligations.

<p>another</p> Signup and view all the answers

In a perpetual annuity, the payments continue ______.

<p>indefinitely</p> Signup and view all the answers

The capitalized cost of any property includes its first cost and the present worth of all costs for ______, operation, and maintenance.

<p>replacement</p> Signup and view all the answers

The formula for finding the present worth of an annuity when A is given is P = A{[1-(1+i)-n ] / ______}(1+i)-n.

<p>i</p> Signup and view all the answers

The future worth of a deferred annuity when A is given can be calculated using the formula F = A{[(1+i)n – 1] / i}(1+i)______.

<p>n</p> Signup and view all the answers

In financial calculations, F represents the ______ worth of an annuity.

<p>future</p> Signup and view all the answers

This method is also called the constant percentage method or the ______ Formula.

<p>Matheson</p> Signup and view all the answers

The decline rate, k, must always be less than ______.

<p>1</p> Signup and view all the answers

In the Double Declining Balance Method, the decline rate, k, is replaced by ______/L.

<p>2</p> Signup and view all the answers

The Service-Output Method assumes that depreciation is directly proportional to the quantity of ______ of the property.

<p>output</p> Signup and view all the answers

Depletion cost is the reduction of the value of a certain natural resource due to the gradual ______ of its contents.

<p>extraction</p> Signup and view all the answers

The Unit or Factor Method depends on the initial cost of the property and the number of ______ in the property.

<p>units</p> Signup and view all the answers

The Rate of Return (ROR) Method measures the effectiveness of an ______ of capital.

<p>investment</p> Signup and view all the answers

If the computed ROR is greater than the ROR______, the proposed investment is justified.

<p>req'd</p> Signup and view all the answers

If the excess of annual cash inflows over annual cash outflows is 0, the proposed investment is justified using the ______ method.

<p>annual worth</p> Signup and view all the answers

The Payback Period is the length of time required to recover the first cost of an investment from the net cash flow, calculated in ______ years.

<p>years</p> Signup and view all the answers

In the ROR on additional investment method, if the ROR on additional investment is ______ than the ROR required, the alternative is more economical.

<p>greater</p> Signup and view all the answers

The alternative with the least ______ cost is usually chosen in the Annual Cost method.

<p>annual</p> Signup and view all the answers

All cash flows must be converted to an equivalent uniform annual cost in the ______ method.

<p>Equivalent Uniform Annual Cost</p> Signup and view all the answers

In the Present Worth Cost method, the alternative with the least ______ should be selected.

<p>present worth</p> Signup and view all the answers

The alternative with the shortest payback period is adopted, as per the ______ method.

<p>Payback Period</p> Signup and view all the answers

The break-even point is the value of the variable for which the costs of the ______ will be equal.

<p>alternatives</p> Signup and view all the answers

Flashcards

What is Engineering Economy?

Engineering economy analyzes and evaluates economic factors that impact engineering projects, aiming to recommend the best use of capital for success.

What is Simple Interest?

Simple interest is calculated solely on the principal amount, common for short-term loans.

How is Simple Interest Calculated?

Interest is calculated based on the principal amount and the number of interest periods.

What is Ordinary Simple Interest?

Ordinary simple interest uses a 360-day year, with 12 months of 30 days each.

Signup and view all the flashcards

What is Exact Simple Interest?

Exact simple interest uses the actual number of days in a year, accounting for leap years.

Signup and view all the flashcards

What is Discount?

Discount is the interest deducted from the principal upfront, resulting in a smaller present value.

Signup and view all the flashcards

What is the Rate of Discount?

The rate of discount is the percentage of interest deducted from one unit of principal for one unit of time.

Signup and view all the flashcards

How is Discount Calculated?

Discount is the difference between the future worth and the present worth.

Signup and view all the flashcards

Compound Interest

The interest earned on the principal and previously accumulated interest. It's like interest on top of interest.

Signup and view all the flashcards

Cash Flow Diagram

A visual representation of cash flows over time. Arrows indicate the direction of money (in or out).

Signup and view all the flashcards

Future Value (F)

The future amount of money to be received or paid out.

Signup and view all the flashcards

Present Value (P)

The present worth or principal amount of money.

Signup and view all the flashcards

Rate of Interest (i)

The cost of borrowing money or the return earned on a principal per unit time.

Signup and view all the flashcards

Nominal Rate of Interest (r)

The basic annual rate of interest. It includes both the interest rate and the number of compounding periods per year.

Signup and view all the flashcards

Effective Rate of Interest (ERi)

The exact interest rate earned on a principal over a one-year period. Considers the compounding effect.

Signup and view all the flashcards

Continuous Compounding

Interest calculated continuously throughout the year rather than at discrete periods.

Signup and view all the flashcards

What is 'P' in the capitalized cost formula for Case 1?

The present worth of perpetual operation and maintenance costs for an asset.

Signup and view all the flashcards

What does 'X' represent in the capitalized cost formula for Case 2?

The present worth of an infinite series of replacements, assuming no operation or maintenance costs.

Signup and view all the flashcards

What is a 'gradient' in engineering economy?

A sequence of cash flows that increase or decrease by a constant amount in each period.

Signup and view all the flashcards

What is a bond?

A long-term debt security issued to raise funds for a project or business.

Signup and view all the flashcards

What are methods of bond retirement?

The process of using a sinking fund, issuing new bonds, or other methods to ensure funds are available to retire bonds at maturity.

Signup and view all the flashcards

What is an annuity?

A series of equal payments made at regular intervals over time.

Signup and view all the flashcards

What is an ordinary annuity?

An annuity where payments are made at the end of each period, starting with the first period.

Signup and view all the flashcards

What is a deferred annuity?

An annuity where the first payment is made several periods after the beginning of the annuity.

Signup and view all the flashcards

What is a perpetuity?

An annuity where payments continue indefinitely.

Signup and view all the flashcards

What is capitalized cost?

The sum of the first cost and the present worth of all future costs (replacement, operation, and maintenance) for a long period or forever.

Signup and view all the flashcards

What is the equation of value?

The process of setting the sum of values of one set of obligations equal to the sum of values of another set of obligations at a specific date.

Signup and view all the flashcards

How do you calculate the future worth (F) of an ordinary annuity?

The future worth (F) of an annuity can be calculated using the formula: F = A{[(1+i) n - 1] / i}, where A is the periodic payment, i is the interest rate, and n is the number of periods.

Signup and view all the flashcards

How do you calculate the present worth (P) of an ordinary annuity?

The present worth (P) of an ordinary annuity can be calculated using the formula: P = A{[1 - (1+i)-n] / i}, where A is the periodic payment, i is the interest rate, and n is the number of periods.

Signup and view all the flashcards

Declining Balance Method

A depreciation method where the asset's value decreases by a constant percentage each year. The decline rate (k) is less than 1 and the salvage value must be non-zero.

Signup and view all the flashcards

Double Declining Balance Method

A depreciation method similar to Declining Balance, but the decline rate is doubled (2/L, where L is the asset's life). The asset's value quickly decreases in the early years.

Signup and view all the flashcards

Service-Output Method

A depreciation method where the depreciation cost is calculated based on the asset's total units of output and the units produced in each year. The depreciation is proportional to the output.

Signup and view all the flashcards

Percentage or Depletion Allowance Method

A depreciation method where the depreciation charge is a fixed percentage of the gross income generated by the asset.

Signup and view all the flashcards

Unit or Factor Method

A depletion method where the depletion cost is calculated based on the initial cost of the resource and the amount of resource extracted (units sold) during the year.

Signup and view all the flashcards

Depletion

The reduction in the value of a natural resource such as mines, oil, or quarries due to the extraction of its contents during production.

Signup and view all the flashcards

Rate of Return (ROR) Method

A financial method used to evaluate investments by calculating the rate of return on an investment. This rate is compared to a required rate of return to determine profitability.

Signup and view all the flashcards

Sum-of-the-Years' Digit Method (SYD)

A common depreciation method that allocates depreciation expense based on a fraction (a declining year's digit divided by the sum of all year's digits). This method depreciates the asset at a decreasing rate over its life.

Signup and view all the flashcards

Annual Worth Method

A method used to evaluate an investment's profitability based on the annual cash flows it generates, including interest on the initial investment. If the annual cash inflows exceed the annual cash outflows, the investment is considered justified.

Signup and view all the flashcards

Payback Period

The length of time required to recover the initial investment cost from the net cash flows generated by a project. It is calculated by dividing the initial investment cost by the net annual cash flow.

Signup and view all the flashcards

ROR on Additional Investment

A method for comparing multiple investment alternatives by calculating the rate of return on the additional investment required for one alternative over another. The alternative with a higher rate of return on the additional investment is preferred.

Signup and view all the flashcards

Annual Cost Method

A method for comparing investment alternatives by calculating the annual cost of each alternative, including interest on capital. The alternative with the lowest annual cost is the most economical.

Signup and view all the flashcards

Equivalent Uniform Annual Cost (EUAC)

A method for comparing investment alternatives by converting all cash flows to an equivalent uniform annual cost (EUAC). The alternative with the lowest EUAC is preferred. This method is versatile and can be used for diverse selection problems.

Signup and view all the flashcards

Present Worth Cost (PWC) Method

A method for comparing investment alternatives by calculating the present worth of net cash outflows for each alternative over the same period. The alternative with the lowest present worth is preferred.

Signup and view all the flashcards

Break-Even Analysis

A comparison tool used when the cost of two or more alternatives is influenced by a common variable. It helps determine the value of that variable where the costs of the alternatives become equal.

Signup and view all the flashcards

Break-Even Point

The specific value of the variable in break-even analysis where the costs of the alternatives are equal. It represents the point where one alternative becomes more cost-effective than the other.

Signup and view all the flashcards

Study Notes

Engineering Economy

  • Engineering economy is the analysis and evaluation of factors affecting the economic success of engineering projects. Its goal is to make recommendations for the best use of capital.

Formulas in Engineering Economy

  • Simple Interest: Interest calculated only on the principal. Used for short-term loans.

  • I = Pni (1)

  • F = P(1+ni) (2)

  • I = interest

  • P = principal/present worth

  • n = number of interest periods

  • i = interest rate per period

  • F = future worth/accumulated amount

  • Ordinary Simple Interest: Interest calculated based on 12 months of 30 days each (360 days/year).

  • n = d/360

  • n=number of interest periods

  • d = number of days principal is invested

  • Exact Simple Interest: Interest is computed using the exact number of days in a year (365 for a normal year, 366 for a leap year).

  • n = d/365 (normal year)

  • n = d/366 (leap year)

Discount

  • Discount is the interest deducted in advance.
  • Discount = Future Worth - Present Worth
  • D = F - P (3)
  • Rate of discount = d = 1 - (1+i)⁻¹ (4)
  • i = interest rate
  • d = discount rate

Compound Interest

  • Compound interest is interest calculated on the initial principal plus accumulated interest. Used often for longer periods.

Cash Flow Diagrams

  • Graphical representation of cash flows over time
  • ↑ = cash inflow
  • ↓ = cash outflow

Rate of Interest

  • Cost of borrowing money or amount earned by a unit principal per unit time.
  • Nominal Rate: The basic annual interest rate. Specifies the rate and number of interest periods in a year.
  • i / r / m
  • i = rate of interest per interest period
  • r = nominal rate of interest
  • m = number of compounding periods per year
  • Effective Rate: The true rate of interest earned over a one-year period.
  • ERi = (1+i)m - 1
  • ERi = effective rate of interest

Continuous Compounding

  • Interest is compounded continuously throughout the year.
  • F=Pe^rt

Equation of Value

  • Setting the sum of values of one set of obligations at a date equal to the sum of the values of another set at the same date

Annuities

  • A series of equal payments occurring at equal intervals.

    • Ordinary Annuity: Payments made at the end of each period.
  • Formula examples

  • F = A[(1+i)n-1)/i] (11)

  • P = A[1-(1+i)-n]/i] (12)

    • Deferred Annuity: Payments start after a specified number of periods.

Perpetuity

  • Annuity with payments that continue indefinitely.
  • P = A/i (15)

Capitalized Cost

  • Sum of first cost, and present worth of all replacement, operation, and maintenance costs for a long period or forever.
  • Case 1 (no replacement): CC=FC+P (16)
  • Case 2 (replacement only): CC = FC + X (17)
  • X = S/(1+i) -1 (18)

Gradient

  • A series of payments or receipts increasing or decreasing by a constant amount every period.
  • Example formula: P = PA + PG (19)

Capital Financing with Bonds

  • Businesses borrow long-term funds; notes specifying repayment terms.
  • Bond value = present worth of all future returns
  • Methods of bond retirement: 1.Issuing new bonds 2.Sinking fund

Depreciation

  • Decrease in value of a physical property over time.
    • Types of Depreciation:
      1. Physical
      2. Functional
    • Methods of Depreciation:
      1. Straight-Line Method: loss in value is proportional to the age
  • d = (Co - Cn)/n (22)
  • dn = (Co - Cl)/(Σdigits)(n) (34)

Depletion

  • Reduction in value of natural resources (mines, oil, quarries) due to extraction.
  • Methods of Computing Depletion Charge:
  1. Unit or Factor Method
  2. Percentage or Depletion Allowance Method

Investment of Capital

  • Rate of Return (ROR) Method

    • Measures investment effectiveness. If computed ROR ≥ required ROR, proposed investment is justified.
  • Annual Worth Method

    • includes interest as a cost; if annual cash inflows ≥ annual costs, investment is justified
  • Present Worth(PW) Method**

    • Calculates the present value of cash flows; if PW ≥ 0, investment is justifiable.
  • Payback Period Method

    • Time to recover initial investment from net cash flow.
  • Comparing Alternatives:

    1. ROR on additional investment,
    2. Annual Cost (AC) Method,
    3. Equivalent Uniform Annual Cost (EUAC) Method,
    4. Present Worth Cost (PWC) Method
  • Methods for Break-Even Analysis*

  • Break-even point (BEP)= the value of the variable for which the costs of the alternatives are equal

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Use Quizgecko on...
Browser
Browser