Introductions, Cash Flow Patterns, Table & Equation Use

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IENG 301 – FALL 2011
• Meetings:
•Tu, Th:
8:00 – 8:50 AM
• Instructor:
Dr. Dean Jensen
•Phone: 394-1278
•E-mail: dean.jensen@sdsmt.edu
•Office Hrs:
•M*, Tu, W*, F*: 11:00 – 11:50AM
* These offices hours are held in CM 320
• Class website:
http://webpages.sdsmt.edu/~djensen/IENG301
1
Other Course Objectives
1. Solve problems in a manner expected
on the Fundamentals of Engineering
exam.
2. Evaluate personal finance choices.
2
Materials
 Engineering Notebook – 9-3/4" x 7-1/2", 5x5
quad-ruled, 80-100 pp. (approx.).
 FE Supplied-Reference Tables for Eng. Econ.
 Engineering Problems Paper – 8-1/2" x 11", three
hole drilled, ruled five squares/division, 50 pp.
 OPTIONAL: any engineering econ text such as
Blank, L. & Tarquin, A. (2005). Engineering
Economy (6th ed.). New York NY: McGraw –
Hill. 759pp. ISBN 0-07-320382-3.
3
FE Supplied-Reference Tables
 Go to www.ncees.org
 Study Materials
 Fundamentals of Engineering
 FE Supplied-Reference
 Free Preview
 Read & Accept Terms
 FE Supplied-Reference Handbook as multiple PDF
files
 Engineering Economics
 Save the file to your computer
 Print these out, cut & paste into your Eng. Notebook
4
Course Structure
• Grading:
• Weighting:
•Assignments
•Exam I
•Exam II
•Exam III
•Bonus Points
Percentage
25%
25%
25%
25%
5%
5
Policies
• Bonuses: – 105%, but no make-ups
• Assignments:
•Due at class (or earlier), all equal wt. (%)
•No late work – drop lowest scoring HW
• Exams:
•Open engineering notebook
•Closed text, etc.
•Put FE reference tables in notebook
•Make-up Exams
•Sponsored activities schedule ahead of time
•Otherwise, add extra weight to next midterm
•No make-up Final
6
Assignment Structure
• Format for most problems:
•Find (objective)
•Given (organize relevant data, only)
•Cash Flow Diagram (rarely dropped)
•Soln. (steps to solve):
•Write equation in Table Factor Form
•Convert to values (or equation forms)
•Double underline answer to question
• Turn in on EP Paper
•Not graded if illegible!
7
Data Collection
Name
Preferred name
Your SDSM&T E-mail address
Course ID
Term / Year
Your major and anticipated graduation date
Your hometown
Anything else the instructor should know
about you
8
Transport Data Collection
Course: IENG 301
This course meets at Kansas City St. on:
Tuesdays
8:00 to 8:50
Thursdays 8:00 to 8:50
When and where is your next class held at?
Would you likely use a shuttle for $20/mo.?
9
Engineering Econ Process
•
Identify alternative uses for limited resources
•
Obtain needed data
•
Analyze data to determine preferred
alternative:
•Screening decisions
(meets minimum acceptable?)
•Preference decisions
(Select from competing alternatives)
10
Typical Decisions
• Cost reduction
(e.g., equipment, tooling, facility layout)
• Capacity expansion
(e.g., to increase production, sales)
• Equipment / Project selection
• Lease or buy decisions
• Make or buy decisions
• Equipment replacement
11
Fundamental Concept:
12
Lets Get Started…
• Would you rather have $10 000 today or
$10 000 five years from now?
•
If you don’t need it right now, what could
you do with it?
•
Would it be worth the same in five years?
• Money changes value with time!
13
Rate of Return
• (ROR) is the rate of change in value
earned over a specific period of time –
expressed as a percentage of the
original amount
ROR =
Period Ending Amount – Period Starting Amount
x 100%
Period Starting Amount
•
The Rate of Return is a measure of how much
risk there is in an investment
Higher Risk  Higher ROR
14
Rate of Return and Interest
•
The Interest Rate (i) is the percentage change
in value earned over a specific period of time.
•
For simple interest, a return is earned only on
the original amount (principal, p) each period.
•
If the principal is invested for n periods:
Total Interest Earned = (p)(n)(i)
Total Money Returned = p + (p)(n)(i)
15
Compound vs Simple Interest
•
For simple interest, a return is earned only on
the original principal each period.
•
For compound interest, a return is earned on
the entire amount (principal + total interest
already earned) invested at the beginning of
the current period.
•
•
Effectively, you are also earning interest on your
interest (and on your investment principal)!
Unless explicitly stated otherwise, this course
uses compound interest.
(And so does the rest of the world!)
16
•
•
•
•
Using Compound Interest to
Make Economic Decisions …
Paid $100,000 for it - 3 years ago
Don’t need it now
Option 1 – Sell it for $50,000
Option 2 – Lease it for $15,000
for 3 years. Sell it for
$10,000 at the end of
the lease.
Note:
Leases typically pay at the beginning of a time period.
Loans typically pay at the end of a time period.
17
Questions?
• What about the $100,000?
•The $100 K is irrelevant - it is a sunk cost, and makes no
difference in the decision at this point in time.
• How do we select between the options?
•We need to know under which conditions we would be
economically indifferent (equivalent) - have the same amount
of money at the same time - and then if the conditions are
better for one option, we will select that option.
• Any other factors?
•Since we need to account for the time value of money - we
need to know the interest rate and the compounding period.
18
Cash Flow Diagrams
OPTION 1:
$50 k
n= 0
1
2
3 YRS
F3?
OPTION 2:
$15 k
n= 0
$15 k
1
$15 k
2
$10 k
3 YRS
F3?
19
Question
• Under what conditions would I be
indifferent between Options 1 & 2?
•
Indifferent means Economically Equivalent:
– Have the same amount of money at same
point in time, after accounting for all of
the cash flows.
– In this case, 3 years from now.
• Interest Rates…
– Percentage
– Compounding annually
20
Future Value in 3 years…
I%
2.5%
5.0%
7.5%
10%
Option 1
$53,844
$57,881
$62,115
$66,550
Option 2
$57,288
$59,652
$62,094
$64,615
At what interest rate, am I indifferent
between the two options?
•
They are economically equivalent at an
interest rate just a little less than 7.5%
21
Option 1
50,000 now
i = 10% compounded annually
F1 = 50,000 + 50,000 (.10) = 55,000
F2 = 55,000 + 55,000 (.10)
= 50,000 (1 + .10)2 = 60,500
F3 = 60,500 + 60,500 (.10)
= 50,000 (1 + .10)3 = 66,550
22
Generalizing …
P = Present value at the
beginning of first period.
Fn = Future value at end of n
periods in the future.
Fn = P (1 + i)n
= P (F/P,i,n)
(F/P,i,n) = (1+i)n
23
Standard Factors Used to
Solve ECON Problems
( F / P, i, n) 
( P / F, i, n) 
( F / A, i, n) 
( A / F, i, n) 
( P / A, i, n) 
( A / P, i, n) 
( P / G, i, n) 
( A / G, i, n) 
( F / G, i, n) 
Find F Given P
Find P Given F
Find F Given A
Find A Given F
Find P Given A
Find A Given P
Find P Given G
Find A Given G
Find F Given G
24
Tables…
25
Tables…
26
Tables…
27
Tables…
28
Future Given Present
 P is the present value at Time 0
 F is the future value at Time n
 (n compounding periods in the future)
 i is the effective interest rate
F?
0
1
2
3
n
P
F = P(F/P,i,n)
29
Tables…
=i
F3 = 50 000(F/P,10%,3) = 50 000(1.3310) = $66 550
30
Formulas…
F3 = 50 000(F/P, 10%,3) = 50 000(1+.10)3 = 50 000(1.3310) = $66 550
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