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Engineering economics presentation 2.pptx
1. What is Engineering Economy?
• Economic decision making for engineering
systems is called engineering economy.
• This definition may seem restricted to
engineering projects and systems only,
engineering economy however is also the
study of industrial economics and the
economic and financial factors which
influence industry.
1
ECON 401: Engineering Economics
2. What is Engineering Economy?
• Engineering economy is a collection of
techniques that simplify comparisons of
alternatives on an economic basis.
• Engineering economy is not a method or
process for determining what the alternatives
are.
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ECON 401: Engineering Economics
3. What is Engineering Economy?
• Engineering economics begins only after the
alternatives have been identified.
• If the best alternative is actually one that the
engineer has not even recognized as an
alternative, then all the engineering economic
analysis tools will not result in its selection.
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ECON 401: Engineering Economics
4. What is Engineering Economy?
Engineers are the people who are familiar
with all the technicalities of machinery and
production therefore they are the best judges
of:
a) the useful lives of an asset, and
b) they also have the technical knowledge to
calculate the number of units a proposed
plant would produce when operational.
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ECON 401: Engineering Economics
5. What is Engineering Economy?
• In today’s competitive world of business it has
become essential that engineers should
practice financial project analysis for
engineering projects and make rational
decisions.
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ECON 401: Engineering Economics
6. What is Engineering Economy?
• Engineering economy also includes the study
of accounting practices for manufacturing
concerns.
• Unique features of accounting for
manufacturing concerns are process costing,
batch costing, cost allocation, etc.
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ECON 401: Engineering Economics
7. What is Engineering Economy?
• Engineering economy deals with justification
and selection of projects.
• Many engineers work on projects which
address a specified activity or a problem.
• Any decision regarding the project must be
justified.
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ECON 401: Engineering Economics
8. What is Engineering Economy?
• In business environments, many if not all,
decisions are justified using monetary criteria
such as “profit”.
• Such decisions are made at the managerial
level and many engineers become managers
in manufacturing environment.
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ECON 401: Engineering Economics
9. What is Engineering Economy?
• Therefore, all engineers, regardless of their
employment, should know methods and tools
used in evaluation of projects.
• The purpose of engineering economy is to
expose all engineering students to the
methods which are widely used for evaluation
of projects.
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ECON 401: Engineering Economics
10. What is Engineering Economy?
• Even though, engineering economy deals
mostly with selection of projects in business
environment, the tools and methods can be
and are used by individuals and non-profit
organizations such as government, hospitals,
and charitable entities, etc.
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ECON 401: Engineering Economics
11. SOME EXAMPLES
Let us present few examples in different
environments where engineering economy can
facilitate the decision making process.
• Business Environment:
A small manufacturing company needs to buy a
forklift truck for material handling. Two different
brands, say A and B, are being considered. Which
truck should be bought? The decision will
probably be based on minimization of cost.
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ECON 401: Engineering Economics
12. SOME EXAMPLES
• Individuals:
A new college graduate needs a new car.
Should this new car be bought or leased?
Methods from engineering economy can be
used for determining the best choice.
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ECON 401: Engineering Economics
13. SOME EXAMPLES
The following figure shows how engineering is
composed of physical and economic components:
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ECON 401: Engineering Economics
ENGINEERING
Economic
Environment
Physical
Environment
Produce products and services based
on physical laws (e.g. Newton’s Law)
Assessing the worth of these
products/services in economic terms
Production / Construction
Total Environment
14. SOME EXAMPLES
Physical Environment:
Engineers produce products and services
depending on physical laws. Physical efficiency
takes the form:
System output(s)
Physical (efficiency) = ------------------------
System input(s)
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ECON 401: Engineering Economics
15. SOME EXAMPLES
• Economic Environment:
Much less of a quantitative nature is known about
economic environments -- this is due to economics
being involved with the actions of people, and the
structure of organizations.
System worth
Economic (efficiency) = ------------------------
System cost
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ECON 401: Engineering Economics
16. SOME EXAMPLES
• Satisfaction of the physical and economic
environments is linked through production
and construction processes.
• Engineers need to control systems to achieve
a balance in both the physical and economic
environments, and within the bounds of
limited resources.
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ECON 401: Engineering Economics
17. 17
Rational Decision-Making Process
1. Recognize a decision problem
2. Define the goals or objectives
3. Collect all the relevant
information
4. Identify a set of feasible
decision alternatives
5. Select the decision criterion to
use
6. Select the best alternative
ECON 401: Engineering Economics
18. Rational Decision Making Process
Rational decision making is a complex process
that contains a number of essential elements.
1. Recognize
a decision
problem
2. Define
the goals
and
objectives
3. Collect all
relevant
information
4. Identify a
set of
feasible
decision
alternatives
5. Select the
decision
criterion to
use
6. Select the
best
alternative
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ECON 401: Engineering Economics
19. 19
Which Car to Lease?
Saturn vs. Honda
1. Recognize a decision problem
2. Define the goals or objectives
3. Collect all the relevant
information
4. Identify a set of feasible
decision alternatives
5. Select the decision criterion
to use
6. Select the best alternative
• Need a car
• Want mechanical security
• Gather technical as well
as financial data
• Choose between Saturn
and Honda
• Want minimum total cash
outlay
• Select Honda
ECON 401: Engineering Economics
22. 22
Predicting the Future
• Estimating a Required
investment
• Forecasting a product
demand
• Estimating a selling price
• Estimating a
manufacturing cost
• Estimating a product life
ECON 401: Engineering Economics
23. Role of Engineers in Business
An Engineer should know the nature of the various business organizations,
especially related with his specialization/ profession.
As the business grew, they became partnerships and were eventually
converted to corporations.
The present day Computer and Software companies (Apple Computer,
Microsoft Corporation, Sun Microsystems) were all started in the late 1970s
and 1980s by the young college students with engineering background.
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ECON 401: Engineering Economics
24. Types of Business Organizations
• A business owned by one person
1.
Proprietorships
• A business owned by more than one
person (partners) through a contract
2. Partnerships
• A legal entity created under the
government law
3. Corporations
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ECON 401: Engineering Economics
25. Proprietorships
Advantages Disadvantages
• Formed easily and
inexpensively
• Earnings are taxed at
owner’s personal income
tax, which will be lower
than corporate income tax
• Personal liability
• Difficult to raise capital
(cannot issue stocks bonds)
for business expansion
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ECON 401: Engineering Economics
26. Partnerships
Advantages Disadvantages
• Low cost (one person’s
contribution is lesser)
• Ease of formation as the
personal assets of all the
partners stand behind the
business
• Each partner is liable for a
business’s debts
• Partnership has a limited
life, as when one partner
quits, partnership is to be
reorganized
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ECON 401: Engineering Economics
27. Corporations
Advantages Disadvantages
• Can raise capital from large
number of investors
• Easy transfer of ownership
interest by trading shares of
stock
• Personal liability is limited
(to the individual
investment)
• Expensive
• Subject to numerous
government rules and
regulations
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ECON 401: Engineering Economics
28. 28
Create & Design
• Engineering Projects
Evaluate
• Expected
Profitability
• Timing of
Cash Flows
• Degree of
Financial Risk
Analyze
• Production Methods
• Engineering Safety
• Environmental Impacts
• Market Assessment
Evaluate
• Impact on
Financial Statements
• Firm’s Market Value
• Stock Price
Role of Engineers in Business
ECON 401: Engineering Economics
29. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
PRINCIPLE 1:
A nearby penny is worth a distant dollar
• A fundamental concept in engineering
economics is that money has a time value
associated with it.
• It is better to receive money earlier
than later.
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ECON 401: Engineering Economics
30. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
• If you receive $100 now, you can invest it and
have more money available six months from
now.
• This concept will be the basic foundation for
all engineering project evaluation.
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ECON 401: Engineering Economics
31. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
Time Value of Money
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ECON 401: Engineering Economics
32. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
PRINCIPLE 2:
All that counts are the differences among
alternatives.
• An economic decision should be based on the
differences among the alternatives considered.
• All that is common is irrelevant to the decision.
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ECON 401: Engineering Economics
33. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
Option
Monthly
Fuel Cost
Monthly
Maintenance
Cash
Outlay at
Signing
Monthly
Payment
Salvage
Value at
the End of
Year 3
Buy $960 $550 $6,500 $350 $9,000
Lease $960 $550 $2,400 $550 0
Irrelevant items in decision
making
Differential Analysis
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ECON 401: Engineering Economics
34. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
PRINCIPLE 3:
Marginal Revenue must exceed Marginal Cost.
• Each decision alternative must be justified on
its own economic merits before being
compared with other alternatives.
• Marginal revenue means the additional
revenue made possible by increasing the
activity by one unit.
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ECON 401: Engineering Economics
35. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
• Marginal cost means that productive resources like
natural resources, human resources, capital goods
available to make goods and services are limited.
Therefore, people can not have all the goods and
services they want.
• As a result, they must choose some things and give
up others.
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ECON 401: Engineering Economics
36. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
Cost of Goods Sold $2 per unit
Gross Revenue $4 per unit
Marginal
Cost
Marginal
Revenue
Marginal Analysis
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ECON 401: Engineering Economics
37. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
PRINCIPLE 4:
Additional Risk is not taken without the
Expected Additional Return.
• Investors demand a minimum return that
must be greater than the anticipated rate of
inflation or any perceived risk.
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ECON 401: Engineering Economics
38. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
• Expected returns from bonds and stocks are
normally higher than the expected return
from a savings account.
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ECON 401: Engineering Economics
39. FUNDAMENTAL PRINCIPLES OF ENGINEERING
ECONOMICS
Investment Class Potential Risk Expected Return
Savings account (Cash) Low/None 1.5%
Bond (Debt) Moderate 4.8%
Stock (Equity) High 11.5%
Risk and Return Trade Off
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ECON 401: Engineering Economics
40. Types of Strategic Engineering
Economic Decisions
1) Equipment and process selection
2) Equipment replacement
3) New product and product expansion
4) Cost reduction, and
5) Service or quality improvement
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ECON 401: Engineering Economics
41. Types of Strategic Engineering
Economic Decisions
• Selecting the best course of action
from various alternatives to get best
returns
1. Equipment &
process selection
• Decision involves considering the
expenditure necessary to replace
worn-out or obsolete equipments
2. Equipment
replacement
• To increase the revenue
• Two common types:
• Through existing production/distribution,
• Through new product or expand to a new
geographical area
3. New product &
product expansion
41
ECON 401: Engineering Economics
42. Types of Strategic Engineering
Economic Decisions
• Attempts to lower operating costs
of the company
• Whether a company should buy
equipment to perform an
operation currently done manually
or spend money now in order to
save more money later
4. Cost
Reduction
• To improve of the quality of
products/ services
5. Service
improvement
42
ECON 401: Engineering Economics
43. 43
Two Factors in Engineering Economic
Decisions
The factors of time and uncertainty are
the defining aspects of any engineering
economic decision.
ECON 401: Engineering Economics
45. Chapter Outline
• Time value associated with money
• Determining future value at given interest rate
• Present value based on current value of funds
to be received
• Determining Yield on an Investment.
• Compounding or discounting occurring on a
less than annual basis
46. Relationship to
The Capital Outlay Decision
• The time value of money is used to determine
whether future benefits are sufficiently large
to justify current outlays
• Mathematical tools of the time value of
money are used in making capital allocation
decisions
47. Future Value – Single Amount
• Measuring value of an amount that is allowed
to grow at a given interest over a period of
time
– Assuming that the worth of $1,000 needs to be
calculated after 4 years at a 10% interest per year,
we have:
1st year……$1,000 X 1.10 = $1,100
2nd year…...$1,100 X 1.10 = $1,210
3rd year……$1,210 X 1.10 = $1,331
4th year……$1,331 X 1.10 = $1,464
48. Future Value – Single Amount
(Cont’d)
A generalized formula for Future Value:
Where
FV = Future value
PV = Present value
i = Interest rate
n = Number of periods;
In the previous case, PV = $1,000, i = 10%, n = 4, hence;
50. Future Value – Single Amount
(Cont’d)
• In determining future value, the following can be used:
Where = the interest factor
• If $10,000 were invested for 10 years at 8%, the future value
would be:
51. Present Value – Single Amount
• A sum payable in the future is worth less today
than the stated amount
– The formula for the present value is derived from the original formula for
future value:
– The present value can be determined by solving for a mathematical
solution to the formula above, thus restating the formula as:
– Assuming
54. Future Value – Annuity
• Annuity:
– A series of consecutive payments or receipts of equal
amount
• Future Value of an Annuity:
– Calculated by compounding each individual payment
into the future and then adding up all of these
payments
55. Future Value – Annuity (cont’d)
• A generalized formula for Future Value of Annuity:
FVA = A × FVIFA
Where:
FVA = Future value of the Annuity
FVIFA = Annuity Factor = {[(1+i)n – 1] ÷ i}
A = Annuity value
i = Interest rate
n = Number of periods;
• Assuming, A = $1,000, n = 4, and i = 10%
58. Present Value – Annuity
• Calculated by discounting each individual payment back to the
present and then adding up all of these payments
• A generalized formula for Present Value of Annuity:
PVA = A × PVIFA
Where:
PVA = Present value of the Annuity
PVIFA = Annuity Factor = {1 – [1 ÷ (1+i)n] ÷ i}
A = Annuity value
i = Interest rate
n = Number of periods
59. Present Value
of an Annuity of $1(PVIFA)
Assuming that A = $1,000, n = 4, i = 10%, we have:
Table 9–4
60. Time Value Relationships
• Comparisons include:
– The relationship between present value and future value
• Inverse relationship exists between the present value and future
value of a single amount
– The relationship between the Present Value of a single
amount and the Present Value of an Annuity
• The Present Value of an Annuity is the sum of the present values
of single amounts payable at the end of each period
– The relationship between the Future Value and Future
Value of Annuity
• The Future Value of an Annuity is the sum of the future values of
single amounts receivable at the end of each period
61. Determining the Annuity Value
• A re-look at the variables involved in time value of
money:
1. FV/PV : Future/Present value of money
2. N : no. of years
3. I : Interest or YIELD
4. A : Annuity Value / payment per period in an annuity
• Given the first three variables, and determining the
fourth variable “A” (unknown ).
62. Annuity Equaling a Future Value
– Assuming that at a 10% interest rate, after 4 years, an amount
of $4,641 needs to accumulated:
– For n = 4, and i = 10%, is 4.641. Thus, A equals $1,000 as
below :
63. Annuity Equaling a Present Value
– Determining what size of an annuity can be equated to a given
amount:
– Assuming n = 4, i = 6%:
64. Relationship of Present
Value to Annuity
Annual interest is based on the beginning balance
for each year as shown in the following table that
shows flow of funds:
Table 9–5
66. Loan Amortization Table
•In such a case the part of the payments to the mortgage
company will go toward the payment of interest, with the
remainder applied to debt reduction, as indicated in the
following table:
Table 9–6
68. Determining the Yield on
Investment
• Determining the unknown variable “ i “,
given the following variables :
1. FV/PV : Future/Present value of money
2. N : no. of years
3. A : Annuity Value / payment per period in an
annuity
69. Yield – Present Value
of a Single Amount
• To calculate the yield on an investment producing $1,464 after 4
years having a present value of $1,000:
• We see that for n = 4 and = 0.683, the interest rate or yield is
10%
70. Yield – Present Value
of a Single Amount (Cont’d)
• Interpolation may also be used to find a more precise answer
• Difference between the value at the lowest interest rate and the
designated value
• The exact value can be determined as:
71. Yield – Present Value of an Annuity
• To calculate the yield on an investment of $10,000, producing
$1,490 per annum for 10 years:
• Hence:
72. Yield – Present Value of an Annuity
(Cont’d)
• Flip back to the table containing the Present
Value-Annuity factors on Slide 9-16
• Read across the columns for n = 10 periods,
one can see that the yield is 8 percent
• Interpolation applied to a single amount can
also be applied here for a more precise
answer
73. Special Considerations
in Time Value Analysis
• Compounding frequency
– Certain contractual agreements may require
semiannual, quarterly, or monthly compounding
periods
– In such cases,
N = No. of years × No. of compounding periods
during the year
I = Quoted annual interest / No. of
compounding periods during the year
74. Special Considerations
in Time Value Analysis
• Patterns of Payment
– Problems may evolve around a number of
different payment or receipt patterns
– Not every situation involves a single amount or an
annuity
– A contract may call for the payment of a different
amount each year over the stated period or
period of annuity
75. Compounding frequency : Cases
• Case 1: Determine the future value of a $1,000 investment after 5 years at 8%
annual interest compounded semiannually
– Where, n = 5 × 2 = 10; i = 8% / 2 = 4% (using Table 9–1 FVIF = 1.480)
• Case 2: Determine the present value of 20 quarterly payments of $2,000 each
to be received over the next 5 years, where i = 8% per annum
– Where, n = 20; i = 2%
76. Patterns of Payment : Cases
• Assume a contract involving payments of different amounts each year for
a three-year period
• To determine the present value, each payment is discounted to the
present and then totaled
(Assuming 8% discount rate)
77. Deferred Annuity
• Situations involving a combination of single
amounts and an annuity.
• When annuity is paid sometime in the future
78. Deferred Annuity : Case
• Assuming a contract involving payments of different amounts each year for a
three year period :
– An annuity of $1,000 is paid at the end of each year from the fourth through the
eighth year
– To determine the present value of the cash flows at 8% discount rate
– To determine the annuity
79. Deferred Annuity : Case (Cont’d)
• To discount the $3,993 back to the present, which falls at the beginning of the fourth
period, in effect, the equivalent of the end of the third period, it is discounted back
three periods, at 8% interest rate
81. Alternate Method to Compute
Deferred Annuity
1. Determine the present value factor of an annuity for the total time period, where n =
8, i = 8%, the PVIFA = 5.747
2. Determine the present value factor of an annuity for the total time period (8) minus
the deferred annuity period (5). Here, 8 – 5 = 3; n = 3; i = 8%. Thus the value is 2.577
3. Subtracting the value in step 2 from the value of step 1, and multiplying by A;
82. Alternate Method to Compute
Deferred Annuity (Cont’d)
4. $3,170 is the same answer for the present value of the annuity as that reached by
the first method
5. The present value of the five-year annuity is added up to the present value of the
inflows over the first three years to arrive at:
84. Chapter 3
Learning Objectives
1. Recognize relationships among financial
documents and money management
activities
2. Design a system for maintaining personal
financial records
3. Develop a personal balance sheet and cash
flow statement
4. Create and implement a budget
5. Relate money management and savings
activities to achieve financial goals
3-84
85. Successful Money Management
Objective 1: Recognize relationships among
financial documents and money management
activities
• Daily spending and saving decisions are the
heart of financial planning
• Decisions must be coordinated with needs,
goals, and personal situations
3-85
86. Successful Money Management
• Money management is the day-to-day
financial activities needed to manage personal
economic resources, while working toward
long-term financial security
3-86
87. Successful Money Management
(continued)
OPPORTUNITY COST AND MONEY-MANAGEMENT
• Spending money on current living expenses reduces
the amount you can save and invest
• Saving and investing for the future reduces the
amount you can spend now
• Buying on credit ties up future income
• Using savings for purchases results in lost interest
and depletes savings
• Comparison shopping can save money but takes
valuable time
3-87
89. A System for Personal Financial
Records
Objective 2: Design a system for maintaining
personal financial records
Benefits of an Organized System of Financial Records
– Handling daily business affairs, including payment of
bills on time
– Planning and measuring financial progress
– Completing required tax reports
– Making effective investment decisions
– Determining available resources for current and
future buying
3-89
90. A System for Personal Financial
Records (continued)
ITEMS IN YOUR HOME FILE
– Personal and employment records
– Money management records
– Tax records
– Financial services records
– Consumer purchase, auto and credit records
– Housing records
– Insurance records
– Investment records
– Estate planning and retirement records
3-90
91. A System for Personal Financial
Records (continued)
ITEMS IN THE SAFE DEPOSIT BOX
• Records that would be hard to replace
– Birth, marriage and death certificates, copy of
will
– Citizenship and military papers
– Adoption and custody papers
– Serial numbers and photos of valuables
– CDs and credit and banking account numbers
– Mortgage papers and titles
– List of insurance policy numbers
– Stock and bond certificates
– Coins and other collectibles
3-91
92. A System for Personal Financial
Records (continued)
RECORDS ON YOUR PERSONAL COMPUTER
– Current and past budgets
– Summary of checks written and other banking
transactions
– Past income tax returns prepared with tax
preparation software
– Account summaries and performance
results of investments
– Computerized versions of wills,
estate plans, and other documents
3-92
93. A System for Personal Financial
Records (continued)
HOW LONG SHOULD RECORDS BE KEPT?
• Birth certificates, wills, and Social Security
information should be kept indefinitely
• Keep records on personal property and
investments as long as you own them
• Keep documents related to the purchase and sale
of real estate indefinitely
• Copies of tax returns and supporting data should
be kept six years
3-93
94. Personal Financial Statements
Objective 3: Develop a personal balance sheet and
cash flow statement
Purpose of Personal Financial Statements
• Report your current financial position in relation to
the value of the items you own and the amounts
you owe
• Measure your progress toward your financial goals
• Maintain information on your financial activities
• Provide data you can use when preparing tax forms
or applying for credit
3-94
95. Personal Financial Statements (continued)
BALANCE SHEET: WHERE ARE YOU NOW?
Also called the Net Worth Statement or Statement of
Financial Planning
Preparation of Balance Sheet requires using the
following Steps
STEP 1: LISTING ITEMS OF VALUE
• Assets - what you own
• Liquid assets
– Real estate
– Personal possessions
– Investment assets
3-95
96. Personal Financial Statements
(continued)
STEP 2: DETERMINING THE AMOUNTS OWED
• Liabilities - what you owe
– Current liabilities (< 1 year)
– Long term liabilities
STEP 3: COMPUTING NET WORTH
• Assets – Liabilities = Net Worth
• Assets = Net Worth + Liabilities
• Insolvency is the inability to pay debts when they
are due
3-96
97. Personal Financial Statements
(continued)
Net Worth is an indication of the financial position
at any given date
Ways to increase Net Worth
• Increasing your savings
• Reducing spending
• Increasing the value of investments and other
possessions
• Reducing the amounts you owe
3-97
98. Personal Financial Statements (continued)
THE CASH FLOW STATEMENT
• Cash Flow is the actual inflow, outflow for a
given time period
• The Cash Flow statement is also called
personal income and expenditure statement
3-98
99. Personal Financial Statements
(continued)
THE CASH FLOW STATEMENT
The process of preparing cash flows statement follows
these steps
STEP 1: RECORD INCOME
– Wages, salaries, and commissions
– Self-employment business income
– Savings and investment income
– Gifts, grants, scholarships and educational loans
– Government payments, such as Social Security, public
assistance, and unemployment benefits
– Amounts received from pension and retirement
programs
– Alimony and child support payments
3-99
100. Personal Financial Statements
(continued)
STEP 2: RECORD CASH OUTFLOWS
– Fixed Expenses
– Variable expenses
STEP 3: DETERMINE NET CASH FLOWS
– The difference between income and outflows can
either be positive or negative
– Cash flow statement provides the foundation for
preparing and implementing a spending, saving, and
investment plan
3-100
101. Budgeting for Skilled Money
Management
Objective 4: Create and implement a budget
• A budget is a spending plan
• The main purposes of a budget are to help you
– Live within your income
– Spend your money wisely
– Reach your financial goals
– Prepare for financial emergencies
– Develop wise financial management habits
3-101
102. Budgeting for Skilled Money
Management (continued)
STARTING THE BUDGETING PROCESS
Insert Exhibit 3-5
3-102
104. Selecting a Budgeting System
Which one works for you?
• Mental budget – it is all in your head
• Physical budget-use envelopes for your
expenses such as food, rent, etc.
• Written budget – use spreadsheets
• Computerized budget – use software such as
Quicken (http://www.quicken.com/)
• Online budget- (http://www.mint.com/)
• Budget App-using your phone to track
expenses.
3-104
105. Money Management and Achieving
Financial Goals
Objective 5: Relate money management and savings
activities to achieve financial goals
Reasons for saving include…
– Setting aside money for irregular and unexpected
expenses
– Paying for the replacement of expensive items,
such as cars or a down payment on a house
– Buying special items like recreational equipment or
to pay for a vacation
– Providing for long-term expenses such as
retirement or the education of children
– Earning income from the interest on savings for use
in paying living expenses
3-105
106. Money Management and Achieving
Financial Goals (continued)
SELECTING A SAVINGS TECHNIQUE
• Payroll deductions into savings accounts
• Automatic payments from checking into savings
accounts or mutual funds
• Saving regularly in 401(k) plans
• Also save coins, make periodic deposits
• Write a check each payday as a % of income and
deposit into savings
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