15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.

Slides:



Advertisements
Similar presentations
Copyright © 2008 Pearson Education Canada11-1 Chapter 11 Ordinary Simple Annuities Contemporary Business Mathematics With Canadian Applications Eighth.
Advertisements

Chapter 13 Annuities and Sinking Funds McGraw-Hill/Irwin Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved.
Annuities and Amortization
Copyright © 2008 Pearson Education Canada 7-1 Chapter 7 Interest.
Discounted Cash Flow Valuation
Annuities and Sinking Funds
1 5.3 ANNUITY.  Define ordinary and simple annuity  Find the future and present value  Find the regular periodic payment  Find the interest 2.
4 The Time Value Of Money.
Chapter 5. The Time Value of Money Chapter Objectives Understand and calculate compound interest Understand the relationship between compounding and.
Find the amount of an annuity that consists of 24 monthly payments of $700 each into an account that pays 8% interest per year, compounded monthly. NOTE:
1 Chapter 7 The Time Value of Money. 2 Annuities - Future Sum A. An annuity is a series of equal payments or receipts that occur at evenly spaced intervals.
Chapter 5 Mathematics of Finance
Understanding the Time Value of Money
Chap 8. The Time Value of Money Compound interest Future value and Present value Annuities Multiple Cash Flows NPV and internal rate of return.
Time Value of Money Problems
Present & Future Values: Annuities & Perpetuities
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
Regular Deposits And Finding Time. An n u i t y A series of payments or investments made at regular intervals. A simple annuity is an annuity in which.
Annuities ©2014 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or.
Financial Algebra © 2011 Cengage Learning. All Rights Reserved. Slide EXPLORE COMPOUND INTEREST Understand the concept of getting interest on your.
Choi.  An annuity is a sequence of equal payments made at equally spaced intervals of time.  The period of an annuity is the time interval between two.
McGraw-Hill © 2004 The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin 5.0 Future Values Suppose you invest $1000 for one year at 5%
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
MTH108 Business Math I Lecture 25.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1,000 $500 $300 $200 $100 Welcome to Who Wants to be a Millionaire 50:50 6 $1 Million.
Exam 1 Review. Things You Should Know l Time Value of Money problems l All the readings including WSJ ‘little’ book n Stocks: trading, calculating returns.
Present Value Present value is the current value of a future sum.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Evaluate Separate the log Write as.
Quantitative Finance Unit 1 Financial Mathematics.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
Future Value of an Ordinary Simple Annuity Annuity - Series of equal payments or deposits earning compound interest and made at regular intervals over.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
Copyright ©2015 Pearson Education, Inc. All right reserved. Chapter 5  Mathematics of Finance.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
3.3 Personal Finance. Compound Interest Steady Withdrawal/Deposits x x.
Copyright © Cengage Learning. All rights reserved. Sequences and Series.
Chapter Thirteen ANNUITIES AND SINKING FUNDS Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
Annuities, Loans, and Mortgages Section 3.6b. Annuities Thus far, we’ve only looked at investments with one initial lump sum (the Principal) – but what.
Section 4.7: Compound Interest. Continuous Compounding Formula P = Principal invested (original amount) A = Amount after t years t = # of years r = Interest.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
10/23 More interest Compound interest formula A =.
$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.
Slide Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 11 Consumer Mathematics.
TVM Review. What would your future value be if you invested $8,000 at 3% interest compounded quarterly for 15 years?
Annuities; Loan Repayment  Find the 5-year future value of an ordinary annuity with a contribution of $500 per quarter into an account that pays 8%
Lesson 2 – Annuities Learning Goal I can solve for the future value of an annuity.
Time Value of Money Annuity.
Welcome to Who Wants to be a Millionaire
Practical uses of time value of money factors
Welcome to Who Wants to be a Millionaire
Ordinary Annuity S.Y.Tan.
Welcome to Who Wants to be a Millionaire
Welcome to Who Wants to be a Millionaire
Welcome to Who Wants to be a Millionaire
Welcome to Who Wants to be a Millionaire
Presentation transcript:

$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome to Who Wants to be a Millionaire 50:50

© Mark E. Damon - All Rights Reserved

$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved C: Contingent Annuities B: Annuities uncertain D: Perpetuity 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 B: Annuities uncertain Which of the following is not a type of annuity? A: Annuities Certain

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: Simple, General, Contingent C: General, Contingent, Perpetuity B: Simple, Perpetuity, Differed D: Simple, ordinary, perpetuity 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Describe the following set of cash flows: Payments of $500 starting in five months w/ interest rate of 10% compounded monthly. Payments at end of month. D: Simple, ordinary, perpetuity

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: Random, Contingent, Perpetuity C: Simple, differed, annuity B: Contingent, Ordinary, Simple D: Annuity, Simple, General 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Describe the following set of cash flows: You invest $10,000 in an account paying interest compounded monthly with the provision that equal monthly payments be made to him from the account for fifteen years at the beginning of the each month starting ten years from the date of deposit. C: Simple, differed, annuity

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Describe the following set of cash flows: 25 Payments of $100 starting in one month w/ interest rate of 10% compounded monthly. Payments at end of month. A: Simple, ordinary, annuity B: General, ordinary, perp. C: Contingent, Perpetuity, Annuity D: Simple, ordinary, perp. A: Simple, ordinary, annuity

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: Pension Payments C: Mortgage Payments B: Employment Insurance D: Payments from your SLG leader 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Which of the following is an example of an annuity certain? C: Mortgage Payments

© Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $1,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: Mortgage Payments C: Lease payments on equipment B: Pension payments D: Lease payments on a car 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Which of the following is an example of an annuity contingent? B: Pension payments

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: Pension payments C: Mortgage payments B: Lease payments D: Scholarship fund 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Which of the following is an example of a perpetuity? D: Scholarship fund

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 A: General, Differed, Perpetuity C: General, Contingent, Ordinary B: General, Differed, Annuity D: General, Contingent, Differed 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Describe the set of cash flows: Lisa sets up a trust fund earning interest compounded semi-annually to provide equal monthly support payments for her surviving husband starting one month after her death. Payments at end of month. C: General, Contingent, Ordinary

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: $5, C: $1,000 B: $4, D: $4, : $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Find the present value of: Payments of $1000 at the end of the year, with interest rate of 6% compounded annually. B: $4,212.36

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: $5, C: $5, B: $5, D: $5, : $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Find the future value of: Payments of $1000 at the end of the year, with interest rate of 6% compounded annually. A: $5,637.09

© Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $32,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: $75, C: $80, B: $56, D: $77, : $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Find the cash value of a vacation property with $5,250 down payment and payments of $6,000 every 6 mths for 10 years. The interest rate is 10% compd. Semi-annually C: $80,023.26

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: months C: 66 months B: 998 days D: years 50: $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 A car loan of $15,599 is to be repaid with end-of-month payments of $ If interest is 15% compounded monthly, how long is the term of the loan? C: 66 months

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: $29, C: $88, B: $21, D: $48, : $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Amir recently bought a rental property valued at $1,000,000 by paying 25% down and mortgaging the balance over twenty years through equal payments at the end of each quarter at 10% compounded quarterly. What was the size of the quarterly payments? B: $21,769.53

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: $4, C: $4, B: $3,900 D: $3, : $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 You’ve signed a mortgage that requires payments of $300 at the end of each month for the next 10 years. Interest is 7.5% compounded monthly. If you missed the first 12 payments, how much would you have to pay on the 13 th month to bring the mortgage payments up to date? A: $4,049.65

© Mark E. Damon - All Rights Reserved $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

© Mark E. Damon - All Rights Reserved A: $ C: $ B: $ D: $ : $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 When his daughter was born, Mr. Dodds started depositing $200 every 3 months into a trust fund earning 3% comp. quaraterly. Following her eighteenth birthday, Mr. Dodd’s daughter is to receive equal payments at the end of each month for 4 years while she is at university. If interest is to be 3.9% compounded monthly after the 18 th birthday, how much will she receive every month? A: $355.50

© Mark E. Damon - All Rights Reserved YOU WIN $1 MILLION DOLLARS!