Remembering Lanna Loaner Lanna Loaner paid for college by taking student loans and working in the summer –In 5 years she accumulated about $51,600 in debts.

Slides:



Advertisements
Similar presentations
Simple Interest Day 2 Formula I = PRT.
Advertisements

Calculate 10% of each number and then add it to the number
2-1 CHAPTER 2 Time Value of Money Future value Present value Annuities Rates of return Amortization.
The Time Value of Money Chapter 8 October 3, 2012.
2-1  The sample problems are not in order of topic or difficulty. Time Value of Money (Examples)
New Review Introduced a new magic number –P/A Present worth series The reciprocal of A/P Takes an annuity and sweeps it back to the present time –P/A *
Present and Future Value Exercises. Want to be a millionaire? No problem! Suppose you are currently 21 years old, and can earn 10 percent on your money.
Understanding the Time Value of Money
Multiple Cash Flows –Future Value Example 6.1
Mathematics of Finance Solutions to the examples in this presentation are based on using a Texas Instruments BAII Plus Financial calculator.
Module 3 ANNUITY Engr. Gerard Ang School of EECE.
Present & Future Values: Annuities & Perpetuities
Chapter McGraw-Hill/Irwin Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 6 Discounted Cash Flow Valuation.
Interest Formulas – Equal Payment Series
Discrete Mathematics Chapter 10 Money. Percentage.
Lecture 2 Engineering Economics ENGR 3300 Department of Mechanical Engineering Inter American University of Puerto Rico Bayamon Campus Dr. Omar E. Meza.
Using Subtraction to Find Incremental Benefits and Costs ©2002 Dr. Bradley C. Paul, modified 2009.
Multiple Cash Flows –Future Value Example
Chapter 6 Calculators Calculators Discounted Cash Flow Valuation McGraw-Hill/Irwin Copyright © 2010 by The McGraw-Hill Companies, Inc. All rights reserved.
Financial Literacy 101 Todd Jorns
The All Cost Alternatives Problem ©2002 Dr. Bradley C. Paul.
Your Homework Toyota has decided to build an auto assembly plant in DeSoto for their new Lazer-Razer sports sedan. –Toyota is issuing $1000 dollar bonds.
Financial Literacy 101 Todd Jorns
CF Winter Discounted Cash Flow Valuation ch 6.
The Internal Rate of Return (IRR) ©Dr. B. C. Paul 2002 revisions 2008 Note – The subject covered in these slides is considered to be “common knowledge”
Computing Simple Interest Mr. Swaner Notes The formula for computing simple interest is: I = Prt P = principle r = rate (decimal form) t = time (years)
Q1 The following expression matches the interest factor of continuous compounding and m compounding. Plug r=0.2, m=4 to get x=0.205.
Compound Interest ©Dr. B. C. Paul 2001 revisions 2008, 2011 Note – The subject covered in these slides is considered to be “common knowledge” to those.
Financial Literacy 101 Todd Jorns
Hidden Costs of Home Ownership (Maintenance Costs) © Dr. B. C. Paul 2002 revisions 2008 Note – The subject covered in these slides is considered to be.
Compound Interest ©Dr. B. C. Paul 2001 revisions 2008 Note – The subject covered in these slides is considered to be “common knowledge” to those familiar.
CHAPTER 5 Time Value of Money (“TVOM”)
Chapter 6: Time Value of Money
McGraw-Hill/Irwin ©2001 The McGraw-Hill Companies All Rights Reserved 5.0 Chapter 5 Discounte d Cash Flow Valuation.
Present Value Present value is the current value of a future sum.
Annuities ©Dr. B. C. Paul 2001 revisions 2008 Note – The subject covered in these slides is considered to be “common knowledge” to those familiar with.
Savings & Checking Accounts. Saving Basics Savings accounts provide an easily accessible place for people to store their money and to have money for emergencies.
Prepare for Financial Emergencies Manage Spending 2. Prevent Financial Emergencies 3. Become Debt Free 4. Prepare For Retirement 5. Teach Kids.
Using F/P ©Dr. B. C. Paul 2001 revisions 2008, 2011 Note – The subject covered in these slides is considered to be “common knowledge” to those familiar.
Quick answers If the bank is offering 12% per year compounded quarterly what would be the value of “i” in the Amount of an annuity formula? If the Nicole.
Financial Literacy 101 Todd Jorns
2-1 CHAPTER 2 Time Value of Money Future Value Present Value Annuities Rates of Return Amortization.
Our First Magic Number F/P i,n Formula is (1 + i) n The effect of F/P is to take a present number of dollars and move them n compounding periods into the.
LEGOs Theory Continued… ● In learning about compound cash flows, we found ways to decompose and convert the cash flow pattern building blocks from one.
Investment Analysis Chapter #8. Time Value of Money u How does time affect money? u Does money increase or decrease over time?
Using Spreadsheets in Eng Econ (Separating Principle and Interest) ©2002 Dr. Bradley C. Paul.
Rate of Return and the Cost of Capital A big rate of return means you have to come up with a lot of extra money to get the investors to put-off their Dairy.
The Money Pot ©Dr. B. C. Paul 2001 revisions 2008, 2011 ©Dr. B. C. Paul 2001 revisions 2008, 2011 Note – The subject covered in these slides is considered.
How To Do NPV’s ©2007 Dr. B. C. Paul Note – The principles covered in these slides were developed by people other than the author, but are generally recognized.
Compounding Interest Formula It’s like Math, but not really.
Using P/F ©Dr. B. C. Paul 2001 revisions 2008 Note – The subject covered in these slides is considered to be “common knowledge” to those familiar with.
Does the Pot of Money Have to be in the Future? No The U.S. Savings Bond Game –Many groups like to give savings bonds as prizes Why - –Because a savings.
The Invest and Earn Problem Problems of this type have one or more initial negative cash flows - followed by positive cash flows to the end of the project.
Importance of Saving Income vs. Wealth.  When you hear; “The Importance of Savings” what comes to mind?  Define the difference between Income & Wealth?
Back to the Story of Lanna Loaner Lanna Loaner has just graduated from College with a debt of $51,596 Of course student loan programs don’t expect Lanna.
Section 4.7: Compound Interest
Hidden Costs in Home Loans ©2002 Dr. Bradley C. Paul.
Homework Quiz. Rule of 72 Interest Rate 8% 12% 6% 2%.03% Years for money to double 9 years years.
1 Equivalence Between Two Cash Flows Step 1: Determine the base period, say, year 5. Step 2: Identify the interest rate to use. Step 3: Calculate equivalence.
Understanding and Appreciating the Time Value of Money
Using P/F ©Dr. B. C. Paul 2001 revisions 2008, 2011 Note – The subject covered in these slides is considered to be “common knowledge” to those familiar.
Time Value of Money Chapter 5  Future Value  Present Value  Annuities  Rates of Return  Amortization.
Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin 0 Chapter 5 Discounted Cash Flow Valuation.
Lesson 2 – Annuities Learning Goal I can solve for the future value of an annuity.
Equivalence Factors and Formulas Moving Money Around.
Annuities ©Dr. B. C. Paul 2001 revisions 2008 Note – The subject covered in these slides is considered to be “common knowledge” to those familiar with.
Practical uses of time value of money factors
Summarizing All engineering econ problems follow the same pattern
Review Annuity series of equal payments
Presentation transcript:

Remembering Lanna Loaner Lanna Loaner paid for college by taking student loans and working in the summer –In 5 years she accumulated about $51,600 in debts Lanna ended up paying back her loans over the next 5 years –Her monthly payments were over $1000 a month

Meet Fursee Foresight Fursee began working when she was 14. She saved her money for college –(she also got a deal from her parents to match the money that she saved) At the end of every summer Fursee tucked away her stash in the bank (along with Mommy and Daddy’s money) –Each summer Fursee saved $5,000 –Mommy and Daddy matched $5,000

Fursee Foresight Prepares to be a Saluki! Fursee puts her money into CDs at 6% interest How much money does Fursee have for college when she starts after the summer of her 18th year?

Lets See - All these problems are done the same way First thing I do is to make the inspiring story into a cash flow I need to pick my perspective –(I have Fursee and the bank where she's stashing money) –I’ll pick her banker where she’s stashing the money

Drawing Pretty Pictures $10,000 each time Fursee’s 14 this fall Fursee’s 15 Fursee’s 16 Fursee’s 17 Fursee Stashes her summers loot and turns into a Dog (Ok she just started College)

Where do I put the Pot? $10,000 each time Fursee Stashes her summers loot and turns into a Dog (Ok she just started College)

I Smell an Annuity! $10,000 each time Fursee Stashes her summers loot and turns into a Dog (Ok she just started College) Woops don’t forget the rule about annuities starting one compounding period into the cash flow time line

This is an Annuity $10,000 each time Fursee Stashes her summers loot and turns into a Dog (Ok she just started College) What magic number do I need to drop this cash into the pot? F/P 0.06, 4 = *$10,000 = $12,625

Oh My Pots on the Wrong Side $10,000 each time Fursee Stashes her summers loot and turns into a Dog (Ok she just started College) I need a new magic number $12,625

Enter F/A F/A is the Future Value of an Annuity –Use the cancel trick to make sure I have the right Super Hero F/A * Annuity = Future Value Ok Its good so whats the formula –[(1+i) n -1]/I n = 4 payments in series at the end of compounding period i = and interest rate of 0.06

Sweeping The Annuity into the Pot $10,000 each time Fursee Stashes her summers loot and turns into a Dog (Ok she just started College) F/A 0.06, 4 = $10,000 * = $43,746

Fursee Foresights Savings Fursee Stashes her summers loot and turns into a Dog (Ok she just started College) $56,371 in pot - If Fursee uses the same program as Lanna she will have money left over $56,371

Use of Discounted Cash Flow Used extensively in engineering economics Can be a powerful tool for personal life decisions Most of our money will go for needs rather than investments –Can help you find the true cost / especially where interest opportunities exist.