Podcast
Questions and Answers
From the borrower's perspective, what financial term is most closely associated with the cost of borrowing money?
From the borrower's perspective, what financial term is most closely associated with the cost of borrowing money?
- Net Cash Flow
- Present Value
- Interest Rate (correct)
- Rate of Return
What does 'P' commonly represent in financial calculations?
What does 'P' commonly represent in financial calculations?
- Number of Periods
- Annual Cash Flow
- Future Value
- Present Value (correct)
If revenues for a project are $200,000 and disbursements are $150,000, what is the Net Cash Flow (NCF)?
If revenues for a project are $200,000 and disbursements are $150,000, what is the Net Cash Flow (NCF)?
- \$150,000
- \$350,000
- \$50,000 (correct)
- \$200,000
What is the primary difference between a point estimate and a range estimate in cash flow estimation?
What is the primary difference between a point estimate and a range estimate in cash flow estimation?
An investor earned $50 in interest on an investment of $1000 over one year. What is the rate of return on the investment?
An investor earned $50 in interest on an investment of $1000 over one year. What is the rate of return on the investment?
What does the variable 'A' represent in the context of financial calculations?
What does the variable 'A' represent in the context of financial calculations?
What is the 'end-of-period assumption' in financial analysis?
What is the 'end-of-period assumption' in financial analysis?
Which of the following provides a better understanding of the variability of economic parameters when making financial decisions?
Which of the following provides a better understanding of the variability of economic parameters when making financial decisions?
Which of the following best describes the primary reason engineering economy is crucial for engineers?
Which of the following best describes the primary reason engineering economy is crucial for engineers?
What is the MOST important concept in engineering economy?
What is the MOST important concept in engineering economy?
In the context of engineering economy, what does 'economic equivalence' primarily address?
In the context of engineering economy, what does 'economic equivalence' primarily address?
Which of the listed steps is NOT a part of the general decision-making process in engineering economy?
Which of the listed steps is NOT a part of the general decision-making process in engineering economy?
Which activity is NOT directly included in the scope of Engineering Economy?
Which activity is NOT directly included in the scope of Engineering Economy?
An engineer is considering two mutually exclusive projects. Project A has a higher initial cost but promises greater long-term savings. Project B has a lower initial cost but offers less savings. Which of the following steps should the engineer take to make a sound economic decision?
An engineer is considering two mutually exclusive projects. Project A has a higher initial cost but promises greater long-term savings. Project B has a lower initial cost but offers less savings. Which of the following steps should the engineer take to make a sound economic decision?
When evaluating different engineering project alternatives, why is sensitivity analysis performed?
When evaluating different engineering project alternatives, why is sensitivity analysis performed?
A company is deciding whether to invest in new equipment that reduces labor costs. Which of the following factors should be considered in an engineering economic analysis?
A company is deciding whether to invest in new equipment that reduces labor costs. Which of the following factors should be considered in an engineering economic analysis?
Which factor is most critical in establishing economic equivalence between two sums of money at different points in time?
Which factor is most critical in establishing economic equivalence between two sums of money at different points in time?
Consider an investment where the future value is economically equivalent to the present value. As the interest rate increases, what happens to the present value required to maintain equivalence?
Consider an investment where the future value is economically equivalent to the present value. As the interest rate increases, what happens to the present value required to maintain equivalence?
What distinguishes compound interest from simple interest?
What distinguishes compound interest from simple interest?
Suppose you have two investment options: one with simple interest and one with compound interest, both at the same annual interest rate. Under what condition would the compound interest investment yield a higher return?
Suppose you have two investment options: one with simple interest and one with compound interest, both at the same annual interest rate. Under what condition would the compound interest investment yield a higher return?
If $5,000 is invested for 5 years at a simple interest rate of 8% per year, what is the total interest earned at the end of the 5 years?
If $5,000 is invested for 5 years at a simple interest rate of 8% per year, what is the total interest earned at the end of the 5 years?
You borrow $10,000 at an annual interest rate of 6% compounded annually. What is the amount of interest accrued after 2 years?
You borrow $10,000 at an annual interest rate of 6% compounded annually. What is the amount of interest accrued after 2 years?
What is the primary purpose of creating a cash flow diagram in economic analysis?
What is the primary purpose of creating a cash flow diagram in economic analysis?
An investor is considering two projects. Project A returns $10,000 in simple interest over 5 years and Project B returns $9,000 in compound interest over the same period. Which project has the higher annual interest rate, assuming the same principal investment?
An investor is considering two projects. Project A returns $10,000 in simple interest over 5 years and Project B returns $9,000 in compound interest over the same period. Which project has the higher annual interest rate, assuming the same principal investment?
What is the primary purpose of the Minimum Attractive Rate of Return (MARR) in project evaluation?
What is the primary purpose of the Minimum Attractive Rate of Return (MARR) in project evaluation?
Which of the following is NOT a key characteristic of the Minimum Attractive Rate of Return (MARR)?
Which of the following is NOT a key characteristic of the Minimum Attractive Rate of Return (MARR)?
A company is evaluating a project with a Weighted Average Cost of Capital (WACC) of 8% and a risk premium of 3%. What is the Minimum Attractive Rate of Return (MARR) for this project?
A company is evaluating a project with a Weighted Average Cost of Capital (WACC) of 8% and a risk premium of 3%. What is the Minimum Attractive Rate of Return (MARR) for this project?
A project has an expected Rate of Return (ROR) of 10%, and the Minimum Attractive Rate of Return (MARR) has been set at 12%. Based on this information, what is the best course of action?
A project has an expected Rate of Return (ROR) of 10%, and the Minimum Attractive Rate of Return (MARR) has been set at 12%. Based on this information, what is the best course of action?
Which type of financing involves using funds from retained earnings or new stock issues?
Which type of financing involves using funds from retained earnings or new stock issues?
What is the best definition of 'Opportunity Cost' in the context of investment decisions?
What is the best definition of 'Opportunity Cost' in the context of investment decisions?
Which of the following actions primarily reflects the application of professional engineering ethics?
Which of the following actions primarily reflects the application of professional engineering ethics?
An engineer discovers a potential safety flaw in a completed project that, while unlikely to cause harm, does not meet current safety regulations. Applying universal morals, what is the MOST ETHICAL course of action?
An engineer discovers a potential safety flaw in a completed project that, while unlikely to cause harm, does not meet current safety regulations. Applying universal morals, what is the MOST ETHICAL course of action?
A company is funded by 60% equity and 40% debt. The cost of equity is 12%, and the cost of debt is 6%. Calculate the Weighted Average Cost of Capital (WACC).
A company is funded by 60% equity and 40% debt. The cost of equity is 12%, and the cost of debt is 6%. Calculate the Weighted Average Cost of Capital (WACC).
Which of the following conditions must be met for an economically justified project?
Which of the following conditions must be met for an economically justified project?
LaserKinetics.com borrows $20,000 with a repayment of $21,400 one year later. Calculate the interest rate paid on the loan.
LaserKinetics.com borrows $20,000 with a repayment of $21,400 one year later. Calculate the interest rate paid on the loan.
Stereophonics, Inc., borrows $40,000 at a simple annual interest rate of 8%. If they repay $46,400 at the end of the year, how much MORE than the agreed interest did they pay?
Stereophonics, Inc., borrows $40,000 at a simple annual interest rate of 8%. If they repay $46,400 at the end of the year, how much MORE than the agreed interest did they pay?
Alpha Technologies invested $500,000 in a new project. After one year, they received a total of $545,000 (principal + interest). What is the rate of return on their investment?
Alpha Technologies invested $500,000 in a new project. After one year, they received a total of $545,000 (principal + interest). What is the rate of return on their investment?
An engineer is offered a substantial gift from a vendor in exchange for specifying the vendor's product in a project. Which aspect of ethics would MOST DIRECTLY address the acceptance of this gift?
An engineer is offered a substantial gift from a vendor in exchange for specifying the vendor's product in a project. Which aspect of ethics would MOST DIRECTLY address the acceptance of this gift?
A company invests $1,000,000 in a project. After one year, the project yields $1,150,000. Determine the rate of return on this investment.
A company invests $1,000,000 in a project. After one year, the project yields $1,150,000. Determine the rate of return on this investment.
If $5,000 is borrowed and $5,400 is repaid after one year, calculate the interest rate for the loan.
If $5,000 is borrowed and $5,400 is repaid after one year, calculate the interest rate for the loan.
A company with $200,000 of available capital is evaluating four independent projects. Project W requires $210,000 and has ROR of 16%. Project X requires $180,000 and has a ROR of 14%. Project Y requires $190,000 and a ROR of 15%. Project Z requires $170,000 and a ROR of 13%. Assuming no MARR is set, what is the opportunity cost?
A company with $200,000 of available capital is evaluating four independent projects. Project W requires $210,000 and has ROR of 16%. Project X requires $180,000 and has a ROR of 14%. Project Y requires $190,000 and a ROR of 15%. Project Z requires $170,000 and a ROR of 13%. Assuming no MARR is set, what is the opportunity cost?
A firm has $500,000 to invest and is considering five projects. Which project's ROR should be used to substitute the firms' MARR, if no MARR is specified?
A firm has $500,000 to invest and is considering five projects. Which project's ROR should be used to substitute the firms' MARR, if no MARR is specified?
Which Excel function is used to calculate the number of periods required for an investment to reach a specific future value, given the interest rate, periodic payment, and present value?
Which Excel function is used to calculate the number of periods required for an investment to reach a specific future value, given the interest rate, periodic payment, and present value?
An investment of $10,000 is expected to generate the following cash flows over the next three years: $3,000 in Year 1, $4,000 in Year 2, and $5,000 in Year 3. Using an interest rate of 6%, which Excel formula calculates the present value of this series of cash flows?
An investment of $10,000 is expected to generate the following cash flows over the next three years: $3,000 in Year 1, $4,000 in Year 2, and $5,000 in Year 3. Using an interest rate of 6%, which Excel formula calculates the present value of this series of cash flows?
An engineer is evaluating a project with an initial investment of $25,000. The project is expected to generate uniform annual revenues of $8,000 for 5 years. Using an interest rate of 8%, which Excel function can be used to verify the economic viability, by determining the project's internal rate of return (IRR)?
An engineer is evaluating a project with an initial investment of $25,000. The project is expected to generate uniform annual revenues of $8,000 for 5 years. Using an interest rate of 8%, which Excel function can be used to verify the economic viability, by determining the project's internal rate of return (IRR)?
Flashcards
Why is Engineering Economy Important?
Why is Engineering Economy Important?
Incorporates economic analysis into creative efforts, selects from multiple alternatives, and applies time value of money.
Time Value of Money (TVM)
Time Value of Money (TVM)
The concept that money changes in amount/value over time due to earning potential.
Engineering Economy Involves:
Engineering Economy Involves:
Formulating, Estimating, and Evaluating the economic outcomes of alternatives.
Steps for Decision Making:
Steps for Decision Making:
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Economics
Economics
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Interest Rate
Interest Rate
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Cash Flows
Cash Flows
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Economic Equivalence
Economic Equivalence
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Interest Rate / Rate of Return
Interest Rate / Rate of Return
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Principal
Principal
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t
t
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P
P
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F
F
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A
A
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n
n
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i
i
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Engineering Economy Study
Engineering Economy Study
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Universal Morals/Ethics
Universal Morals/Ethics
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Personal Morals/Ethics
Personal Morals/Ethics
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Professional/Engineering Ethics
Professional/Engineering Ethics
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Interest
Interest
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Rate of Return
Rate of Return
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Total amount due after 1 year
Total amount due after 1 year
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Cash Flow Diagram
Cash Flow Diagram
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Simple Interest
Simple Interest
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Compound Interest
Compound Interest
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Simple Interest Formula
Simple Interest Formula
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Compound Interest Formula
Compound Interest Formula
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Time Value Adjustment
Time Value Adjustment
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Minimum Attractive Rate of Return (MARR)
Minimum Attractive Rate of Return (MARR)
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MARR Characteristics
MARR Characteristics
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Equity Financing
Equity Financing
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Debt Financing
Debt Financing
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Economically Justified Project
Economically Justified Project
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Opportunity Cost (in Investment)
Opportunity Cost (in Investment)
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Weighted Average Cost of Capital (WACC)
Weighted Average Cost of Capital (WACC)
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Minimum Attractive Rate of Return (MARR) formula
Minimum Attractive Rate of Return (MARR) formula
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Opportunity Cost
Opportunity Cost
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Project Rejection (Capital)
Project Rejection (Capital)
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PV Function in Excel
PV Function in Excel
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FV Function in Excel
FV Function in Excel
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PMT Function in Excel
PMT Function in Excel
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Study Notes
Introduction to Engineering Economy
- Engineering involves designing and creating.
- Engineers use economic analysis to integrate creative efforts.
- Engineers often select and implement from multiple options.
- Essential for engineers: understanding time value of money, economic equivalence, and cost estimation.
- Economic analysis for selection and execution is fundamental to engineering.
Time Value of Money (TVM)
- TVM explains how money changes over time for corporations or individuals.
- Corporate investments should yield a return.
- Investment always involves money.
- Money possesses a "time value."
- TVM is a core concept in engineering economy.
Engineering Economy
- Engineering Economy Includes formulating, estimating, and evaluating expected economic outcomes of alternatives for a defined purpose.
- Easy math techniques simplify evaluation.
- Economic outcome estimates can be deterministic or stochastic.
Decision Making
- Steps for general decision-making:
- Problem understanding and objective definition.
- Gather relevant data.
- Designate viable alternatives.
- Define decision-making criteria.
- Evaluate options using sensitivity analysis.
- Choose the optimal alternative.
- Implement and monitor.
Ethics in Engineering
- Universal morals or ethics involve fundamental beliefs like not stealing, lying, harming, or murdering.
- Personal morals or ethics: individual beliefs that evolve; interpretation of universal morals.
- Professional or engineering ethics: standards to guide work and decisions.
- Engineers disciplines possess a formal ethics code.
- National Society of Professional Engineers (NSPE) have specific codes, and many societies have their own codes.
- Engineers must hold the public safety and welfare to very high standards.
- Serve only in areas where they are competent.
- Issue honest and unbiased public statements.
- Act as faithful agents for employers/clients.
- Avoid misleading or fraudulent actions.
- Conduct ethically and lawfully.
Interest and Interest Rate
- Interest reflects the time value of money.
- Interest is the fee for using someone else's money or the difference between the ending and beginning amounts.
- Formula: Interest = amount owed – principal.
- Interest rate: Interest per time period, expressed as percentage.
- Interest rate (%) = (Interest accrued per time unit / Principal) * 100%.
Rate of Return
- Rate of Return: Interest earned over time, as percentage of the original principal.
- Formula: Rate of return (%) = (Interest accrued per time unit / Original amount) * 100%.
- Borrower: this is the interest rate paid.
- Lender/investor: rate of return earned.
Commonly Used Symbols
- t = time (years, months).
- P = present value or amount at time t (present or time 0).
- F = future value at time t = n.
- A = series of equal, consecutive, end-of-period money amounts.
- n = number of interest periods (years, months).
- i = interest rate/rate of return per period (percent per year/month).
Cash Flow Terms
- Cash Inflows: Revenues (R), and incomes generated (plus sign).
- Cash Outflows: Disbursements (D), costs, expenses, taxes (minus sign).
- Net Cash Flow (NCF): Cash inflows – Cash outflows = R - D.
- End-of-period assumption: Funds flow at period's end.
Cash Flows Types of Estimations
- Point Estimate: One value for cash flow, like Income = $150,000 per month.
- Range Estimate: Min and max bounds like Cost is between $2.5 M and $3.2 M
- Range estimates with probabilities give better understanding.
Economic Equivalence
- Economic Equivalence: Combines interest rate and time value to find equivalent money amounts at different times.
- Rate i and time t are used to equate money (P, F, A) across time points.
Simple and Compound Interest
- Simple Interest: Interest calculated on principal only.
- Formula: Interest = (principal) * (number of periods) * (interest rate) or I = Pni.
- Compound Interest: Interest on principal plus all past interest.
- Formula: Interest = (principal + all accrued interest) * (interest rate).
Minimum Attractive Rate of Return
- MARR (percent) gauges and chooses alternatives, and is established.
- An investment is feasible if its return meets or exceeds the MARR.
- Terms for MARR include the hurdle/benchmark/cutoff rate.
- Financial managers set the MARR.
- MARR links to the capital cost.
- Capital financing determines WACC and MARR.
- MARR factors in project risk.
Types of Financing
- Equity Financing: Uses Earnings, owner's money, or stock.
- Debt Financing: Borrows from loans, bonds, etc.
- Interest should be paid to the lender on these funds.
- Economically sound ROR, MARR, WACC projects should be like this: ROR > MARR > WACC.
Opportunity Cost
- Opportunity cost: The rate of return of projects not funded due to lack of capital, and is the largest Rate of Return (ROR) that is not accepted.
- Unset MARR: the highest non-funded project ROR becomes the opportunity cost.
- With a limited budget: if a project costs too much, it is rejected.
Spreadsheet Functions for:
- Present Value (P) = PV(i%,n,A,F)
- Future Value (F) = FV(i%,n,A,P)
- Equal, periodic value (A) = PMT(i%,n,P,F)
- Number of periods, n = NPER(i%,A,P,F)
- Compound interest rate, i = RATE(n,A,P,F)
- Compound interest rate, i = IRR(first_cell:last_cell)
- Present value, any series,P = NPV(i%,second_cell:last_cell)+first_cell
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Description
Explore key concepts in engineering economy, including borrowing costs and cash flow. Understand rate of return, point vs. range estimates, and the importance of variability in financial decisions. Learn why engineering economy is crucial for engineers.