Engineering Economy & Corporate Finance
ePrep Course for
University Preparation

Corporate finance eprep course textbook
“Engineering Economy and Corporate Finance” is one of the ten ePrep courses, specially designed by NTU to help NSFs, NSMen, and others to better prepare themselves, for studies in universities, either in Singapore or foreign universities.
The Corporate Finance portion of the course is developed in collaboration with the publishers of the popular textbook “Introduction to Corporate Finance”, by John Graham et al. The course comes with this textbook at no additional cost.
The Engineering Economy (or Economics) portion of the course is added to complement the Corporate Finance, with engineering and production perspectives. Engineering Economy is not only useful to engineers, but it is also very useful to those responsible for the management of finance of a corporation as well.
There are also lots of materials on other subjects such as business finance, economics,  business ethics, psychology, statistics, mathematics, physics, mechanics, biotechnology, life science, Python programming, discrete mathematics, etc., so that the students not only get to build up a strong foundation on corporate finance and engineering economy, they also get to strengthen their knowledge on many other subjects as well.  Samples of materials provided can be found below.  Most of these materials can be downloaded for later studies.
The same retired NTU professor is acting as the tutor, to both portions of the course. He was trained as an engineer and was a general manager of a corporation before joining the academic world.

Audio:  Intro to Engineering Economy and Corporate Finance ePrep Course

Engineering Economy and Corporate Finance ePrep Course Contents

I. Engineering Economy

1 Introduction to Engineering Economy (or Engineering Economics)

1 Introduction

2 The Principles of Engineering Economy

3. Engineering Economy and the Design Process

4 Using Spreadsheets in Engineering Economic Analysis

2 Cost Concepts and Design Economics

1 Cost Terminology

2 The General Economic Environment

3 Cost-Driven Design Optimization

4 Present Economy Studies

5 Case Study—The Economics of Daytime Running Lights

3 Cost-Estimation Techniques

1 Introduction

2 An Integrated Approach

3 Selected Estimating Techniques (Models)

4 Parametric Cost Estimating

5 Case Study—Demanufacturing of Computers

6 Electronic Spreadsheet Modeling: Learning Curve

4 The Time Value of Money

1 Introduction

2 Simple Interest

3 Compound Interest

4 The Concept of Equivalence

5 Notation and Cash-Flow Diagrams and Tables

6 Relating Present and Future Equivalent Values of Single Cash Flows

7 Relating a Uniform Series (Annuity) to Its Present and Future Equivalent Values

8 Summary of Interest Formulas and Relationships for Discrete Compounding,

9 Deferred Annuities (Uniform Series)

10 Equivalence Calculations Involving Multiple Interest Formulas

11 Uniform (Arithmetic) Gradient of Cash Flows

12 Geometric Sequences of Cash Flows

13 Interest Rates that Vary with Time

14 Nominal and Effective Interest Rates

15 Compounding More Often than Once per Year

16 Interest Formulas for Continuous Compounding and Discrete Cash Flows

17 Case Study—Understanding Economic “Equivalence”

5 Evaluating a Single Project

1 Introduction

2 Determining the Minimum Attractive Rate of Retum (MARR)

3. The Present Worth Method

4 The Future Worth Method

5 The Annual Worth Method

6 The Internal Rate of Return Method

7 The External Rate of Return Method

8 The Payback (Payout) Period Method

9 Case Study—A Proposed Capital Investment to Improve Process Yield

10 Electronic Spreadsheet Modeling: Payback Period Method

The complete topic details for Engineering Economy are given here

II. Corporate Finance

1 The Scope of Corporate Finance

1 appreciate how finance interacts with other functional areas of any business and see the diverse career opportunities available to finance majors

2 describe how companies obtain funding from financial intermediaries and markets and discuss the five basic functions that financial managers perform

3 assess the costs and benefits of the principal forms of business organization and explain why limited liability companies, with publicly traded shares, dominate economic life in most countries

4 define agency costs and explain how shareholders monitor and encourage corporate managers to maximize shareholder wealth.

2 Financial Statement and Cash Flow Analysis

1 understand the key financial statements that companies are required to provide to their shareholders

2 evaluate the company’s cash flows using its financial statements, including the statement of cash flows

3 calculate and interpret liquidity, activity and debt ratios

4 review the popular profitability ratios and the role of the DuPont system in analyzing the company’s returns

5 compute and interpret the price/earnings and market/book ratios

3 The Time Value of Money

1 understand how to find the future value of a lump sum invested today

2 calculate the present value of a lump sum to be received in the future

3 find the future value of cash flow streams, both mixed streams, and annuities

4 determine the present value of future cash flow streams, including mixed streams, annuities and perpetuities

5 apply time-value techniques that account for compounding more frequently than annually, stated versus effective annual interest rates, and deposits needed to accumulate a future sum

4 Valuing Bonds

1 understand how to find the future value of a lump sum invested today

2 calculate the present value of a lump sum to be received in the future

3 find the future value of cash flow streams, both mixed streams, and annuities

4 determine the present value of future cash flow streams, including mixed streams, annuities, and perpetuities

5 apply time-value techniques that account for compounding more frequently than annually, stated versus effective annual interest rates, and deposits needed to accumulate a future sum

6 use time-value techniques to find implied interest or growth rates for lump sums, annuities, and mixed streams, and an unknown number of periods for both lump sums and annuities.

5 Valuing Shares

1 describe the differences between preferred and ordinary shares

2 calculate the estimated value of preferred and ordinary shares using zero, constant and variable growth models

3 value an entire company using the free cash flow approach

4 apply alternative approaches for pricing shares that do not rely on discounted cash flow analysis

5 understand how investment bankers help companies issue equity securities in the primary market

6 be aware of the Australian secondary securities exchange markets in which investors trade shares.

III. Corporate Finance – Optional Chapters

To conserve space, the complete learning objectives for Corporate Finance are given on a separate page

  • The Trade-Off Between Risk and Return
  • Risk, Return and The Capital Asset Pricing Model
  • Options
  • Capital Budgeting Process and Decision Criteria
  • Cash Flow and Capital Budgeting
  • Risk and Capital Budgeting
  • Raising Long-Term Financing
  • Capital Structure
  • Long-Term Debt and Leasing
  • Payout Policy
  • Financial Planning
  • International Investment Decisions
  • Cash Conversion, Inventory and Receivables Management
  • Cash, Payables and Liquidity Management
  • Entrepreneurial Finance and Venture Capital
  • Mergers, Acquisitions and Corporate Control
  • Insolvency and Financial Distress
  • Introduction to Financial Risk Management

Engineering Economy and Corporate Finance

What You Get in this ePrep Course

I. Free Textbook

“Introduction to Corporate Finance” is a very popular introductory corporate finance textbook, authored by JR Graham, SB Smart, C Adam, and B Gunasingham, 2nd Asia-Pacific Ed. It is based on the very popular American version of the textbook.
II. Free Consultation
A retired NTU professor is acting as the tutor. You can consult him via email or WhatsApp.
III. Materials Online
1  Notes, video lessons and PowerPoint files.
2  Answers/solutions to all questions/problems in the textbook.
3  Online exercises.
4  Problems and solutions in files.
(All the above materials are on both corporate finance and engineering economy or economics)
5  Bonus learning materials in various branches of mathematics, including calculus, statistics, algebra, geometry, and trigonometry, discrete mathematics, as well as on other subjects such as business finance, economics, biotechnology, life science, physics, mechanics, ethics, psychology, and Python rogramming.
IV. Digital Certificate
A digital certificate will be issued if you have completed the course and passing all the tests at the end of each of the ten compulsory chapters.

Engineering Economy & Corporate Finance

Sample Course Materials

1.  Video Lesson (Pricing Assets)

This video lesson teaches the fundamental concept in finance that the price of an asset is the sum of the present values of future cash flows, which in turn is affected by the discount rates.

2. Question and Answer (Opportunity Costs)

Question

Suppose your father has given you a 21st Birthday gift of S$100,000. You have come up with three options.

  1. Buy a new car which you can do without.
  2. Invest in a high-tech company that is expected to increase its value by 25% per year, but this option is relatively risky.
  3. Invest in a strong and friendly local bank and earns 6.5% return per year with little risk.

(a) If you decide to buy the new car, what is your opportunity cost?

(b) If you invest in the high-tech company, what is your opportunity cost?

Answer

(a) If you are a risk taker, your opportunity cost is 25% (i.e. S$25,000) per year because you forgo that opportunity. 

If you are risk averse, your opportunity cost is 6.5% (i.e. S$6,500) per year because you forgo that opportunity.


(b) Your opportunity cost is 6.5% (i.e. S$6,500) per year because your next best return is 6.5%.

3. Problem and Solution (Cost Estimation)

Problem:

A foreman supervises A, B, and eight other employees. The foreman states that he spends twice as much time supervising A and half as much time supervising B, compared with the average time spent  supervising his other subordinates. All employees have the same production rate. Based on equal cost per unit production, what monthly salary is justified for B if the foreman gets $3,800 per month and A gets $3,000 per month?

Solution:

Let x = average time spent supervising the average employee.

Then the time spent supervising employee A = 2x and the time spent supervising employee B = 0.5x.

The total time units spent by the supervisor is then 2x + 0.5x + (8)x = 10.5x.

The monthly cost of the supervisor is $3,800 and can be allocated among the employees in the following manner: $3,800/10.5x = $361.90 / x time units.

Employee A (when compared to employee B) costs (2x – 0.5x)($361.90/x) = $542.85 more for the same units of production.

If employee B is compensated accordingly, the monthly salary for employee B should be $3,000 + $542.85 = $3,542.85.

Engineering Economy and Corporate Finance

Sample Bonus Materials

1. Video Lesson on Statistics (Percentile)

This short video lesson is about the definition of percentile and how it can be computed.

2. Video Lesson on Physics (Electric Field and Flux)

This short video lesson defines electric flux and how it depends on the orientation of the surface with respect to the electric field.

3. Cross Word Puzzle Solution on Biotechnology 
Biotechnology ePrep word puzzle
4. Video Lesson on Business Finance (Solving Problem Relating Sales and Fixed Assets)

This problem walk-through discusses the relationship between fixed assets and sales, and how we can use it to determine the amount of additional fixed assets needed for a projected increase in sales.

5. Objective Question on Physics (Conservation of Energy)

Question: An athlete jumping vertically on a trampoline leaves the surface with a velocity of 8.5 m/s upward. What maximum height does she reach?

1.  13 m

2.  2.3 m

3.  3.7 m

4.  0.27 m

5.  The answer can’t be determined because the mass of the athlete isn’t given.

Answer: (3). Once the athlete leaves the surface of the trampoline, only a conservative force (her weight) acts on her. Therefore, the total mechanical energy of the athlete-Earth system is constant during her flight: Kf + Uf = Ki + Ui.

Taking the y = 0 at the surface of the trampoline, Ui = mgyi = 0.

Also, her speed when she reaches maximum height is zero, or Kf = 0.

This leaves us with Uf = Ki, or mgymax = ½ mvi2, which gives the maximum height as

ymax = vi2/2g = (8.5 m/s)2/(2(9.8 m/s2)) = 3.7 m.

6. Glossary on Psychology (Sensation and Perception)

 

analgesia

Reduction in the sensation of pain in the presence of a normally painful stimulus.

cutaneous senses

Senses including touch, temperature, pain, and kinesthetic perception that are spread throughout the body. Also called somatosensory systems.

dark adaptation

The increasing ability to see in the dark as time passes.

depth perception

Perception of distance, allowing us to experience the world in three dimensions.

encoding

Translation of the physical properties of a stimulus into a specific pattern of neural activity.

feature detectors

Cells in the cerebral cortex that respond to a specific feature of an object.

7. Python Programming (Coding “map”)

Code:
def Capitals (n):
  if n == ‘Malaysia’:
    return “Kuala Limpur”
  elif n == “Indonesia”:
    return “Jarkata”
  elif n == “Thailand”:
    return ‘Banglok’

 

Nations = [‘Malaysia’, ‘Indonesia’, ‘Thailand’]
NationalCapitals = map(Capitals, Nations)
print(list(NationalCapitals))

Output:
[‘Kuala Limpur’, ‘Jarkata’, ‘Banglok’]

8. Economics (Cost Curves and Their Shapes)

Average Cost Curves

1. Rising Marginal Cost

  • This occurs because of diminishing marginal product.
  • At a low level of output, there are few workers and there is a lot of idle equipment. But as output increases, the lemonade stand (or factory) gets crowded and the cost of producing another unit of output becomes high.

2. U-Shaped Average Total Cost

  • Average total cost is the sum of average fixed cost and average variable cost

ATC = AFC + AVC

  • AFC declines as output expands and AVC typically increases as output expands. AFC is high when output levels are low. As output expands, AFC declines pulling ATC down. As fixed costs get spread over a larger number of units, the effect of AFC on ATC falls and ATC begins to rise because of diminishing marginal product and rising AVC.
  • Definition of efficient scale: the quantity of output that minimizes average total cost.

3. The Relationship between Marginal Cost and Average Total Cost

  • Whenever marginal cost is less than average total cost, average total cost is falling. Whenever marginal cost is greater than average total cost, average total cost is rising.
  • The marginal cost curve crosses the average total cost curve at minimum average total cost (the efficient scale).

9. Discrete Mathematics (Proof by Contradiction)

Question:

Discreet Mathematics - Proof by Contradiction

Solution:

Proof by Contradiction - Discrete Mathematics

Remarks

Provided above are some sample bonus course materials on other subjects and they illustrate how comprehensive and broad-base this Engineering Economy and Corporate Finance ePrep course is for preparing students for their university studies or careers. While not all the bonus course materials may be of interest to the students who take up this ePrep course on Engineering Economy and Corporate Finance, they can choose these bonus course materials that are of interest to them and ignore the rest. 
Remember not to short-change yourself – do not go for any of those low-grade courses prepared by any “Tom-Dick-And-Harry” who self-claims to be an industry expert, especially if you are preparing for further academic studies or career advancement!  You do not need thousands of such courses.  As you can see, with this single Engineering Economy and Corporate Finance course, you have a good suite of materials on many other subjects as well.  You also get a hard copy Introduction to Corporate Finance textbook.
Go only for a high-quality specially-designed academic course such as this Engineering Economy and Corporate Finance electronic prep course for getting you a head start in university, or your career.

Engineering Economy and Corporate Finance ePrep Course

Who should take this NS ePrep Course

  • It is a very important course for students doing engineering, business, and accounting.
  • The engineering economy and corporate finance are two complementary fields. While many of the topics they cover may be the same, the emphasis and approaches can be somewhat different. For example, the Time Value of Money under Engineering Economy deals more with engineering matters and uses more mathematics in solving problems, while under Corporate Finance the Time value of Money deals more with business transactions and uses little mathematics in solving problems. Also, Engineering Economy covers cost accounting, a very important aspect of management accounting that is not normally emphasized in a typical accounting program.
  • Typically, Corporate Finance is a second-level finance course, with Business Finance course as a pre-requisite. It is, therefore, more demanding and attracts those who want more than just a simple introductory course on finance. However, the course materials are presented in such a way that the basic concepts are also introduced to ease understanding for those who have no prior knowledge in finance,
  • Even for those not going to any university due to various reasons, this is an opportunity to prove that they are capable of completing a university-level course, in addition to knowing about finance for both engineers and those in the financial sector.
  • Everyone is welcome and there is no pre-requisite.

NS ePrep Course Duration

The official course duration is three months which may be extended upon request. You have to complete the course requirement within the course duration to qualify for the certificate. However, support by the tutor is available beyond the official course duration. Also, most of the course materials can be downloaded for later study. Please note that the materials may be proprietary and meant for your own use only.  While you may show them to others, please refrain from making and giving copies to others.

How to Sign Up for NS ePrep Course

1 NSF/NSMen
Please sign up via NS Portal to qualify for NS ePREP subsidy. Select “Access EPREP”, then search for NTU as the training provider.  Among the e-PREP courses listed, select the course “Engineering Economy and Corporate Finance”.  Please note that since the course fee is $385, but the maximum NS e-PREP Credits is $350, after registration for the course you will have to pay $35. For advice on payment matters, please contact the MINDEF ePrep administrator at Tel No: (+65) 63731221,  or eMail: Trg_EPrepEnquiry@defence.gov.sg 
2 Non-NS folks
Please sign up with NTU PaCE directly. The course fee is S$385 inclusive of the textbook.  For students located outside Singapore, you may have to pay for the postage for the textbook.

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