Chapter 13. Annuities and Sinking Funds McGraw-Hill/Irwin. Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved.
|
|
- Agnes Chase
- 5 years ago
- Views:
Transcription
1 Chapter 13 Annuities and Sinking Funds 13-1 McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved.
2 Compounding Interest (Future Value) Annuity - A series of payments--can be payments going out or coming in--just a series of payments (in the financial community, this is called a stream of payments). Term of the annuity - the time from the beginning of the first payment period to the end of the last payment period. 13-2
3 Future Value of an Annuity The future dollar amount of a series of payments plus interest (You want to know how much you will end up with.) Example: You know you can afford to save $400 each period; you know the interest rate; you want to know how much you will have at the end of a specific period of time. 13-3
4 Present value of an annuity The amount of money needed to invest today in order to receive a stream of payments for a given number of years in the future. (You want to know how much to put in the bank so that you can start taking out fixed sums of money in the future. ) Example: How much do your parents put in the bank, at a specific interest rate, on your first day of college so that you can take out $2,000 each semester over the course of four years in college so that it lasts until the end of the fourth year? 13-4
5 Sinking fund: A kind of annuity. You know the amount you need at a certain date in the future. You are looking for the amount of the payment in a stream of payments in order to end up with that amount. Example: You will need $25,000 five years in the future to replace your car. You want to know how much to put in the bank each month in order to end up with $25,000 in five years. You know the interest rate and number of periods you have to save the money. The $25,000 that you will ultimately have is made up of your stream of payments into the sinking fund (in this case, a savings account) and interest payments on the money in that account over the five years. 13-5
6 Figure 13.1 Future value of an annuity of $1 at 8% $3.50 $3.25 $3.00 $2.50 $2.00 $2.08 $1.50 $1.00 $1.00 $0.50 $ End of period 13-6
7 Classification of Annuities This is Important! Ordinary annuity - regular deposits/payments made at the end of the period Annuity due - regular deposits/payments made at the beginning of the period Jan. 31 Monthly Jan. 1 March 30 Quarterly Jan. 1 June 30 Semiannually Jan. 1 Dec. 31 Annually Jan
8 Tools for Calculating Compound Interest Number of periods (N) Number of years times the number of times the interest is compounded per year Rate for each period (R) Annual interest rate divided by the number of times the interest is compounded per year If you compounded $100 each year for 3 years at 6% annually, semiannually, or quarterly What is N and R? Periods Annually: 3 x 1 = 3 Semiannually: 3 x 2 = 6 Quarterly: 3 x 4 = 12 Rate Annually: 6% / 1 = 6% Semiannually: 6% / 2 = 3% Quarterly: 6% / 4 = 1.5% 13-8
9 Calculating Future Value of an Ordinary Annuity Manually Step 1. For period 1, no interest calculation is necessary, since money is invested at the end of period Step 2. For period 2, calculate interest on the balance and add the interest to the previous balance. Step 3. Add the additional investment at the end of period 2 to the new balance. Step 4. Repeat steps 2 and 3 until the end of the desired period is reached. 13-9
10 13-10 Calculating Future Value of an Ordinary Annuity by Hand (deposits at ends of years) Find the value of an investment after 5 years for a $2,000 ordinary annuity at 9% Manual Calculation $ 2, End of Yr int, yr 2 2, new bal. 2, End of Yr 2 4, new bal int, yr 3 4, new bal. 2, End of Yr 3 6, new bal int, yr 4 7, new bal. 2, End of Yr 4 9, new bal int, yr 5 9, new bal. 2, End of Yr 5 $ 11, new bal.
11 Calculating Future Value of an Ordinary Annuity by Table Lookup Step 1. Calculate the number of periods and rate per period. Step 2. Look up the number periods on the appropriate interest rate page in the Math Handbook. When you find the row for the correct number of periods, follow across that row to the amount of annuity column. The intersection gives the table factor for the future value. Step 3. Multiply the payment for a period by the table factor. This gives the future value of the annuity. Future value of = Annuity pmt. x Ordinary annuity ordinary annuity for a period table factor 13-11
12 Table 13.1 Ordinary annuity table: Compound sum of an annuity of $1 Ordinary annuity table: Compound sum of an annuity of $1 (Partial) Period 2% 3% 4% 5% 6% 7% 8% 9% 10%
13 9% Looking Up the Future Value of an Annuity--9%, 5 periods---as shown in the Math Handbook Period Compound Interest (future value) Present Value Amount of Annuity (future value) Present Value of Annuity Sinking Fund
14 Future Value of an Ordinary Annuity Find the value of an investment after 5 years for a $2,000 ordinary annuity at 9% N = 5 x 1 = 5 R = 9%/1 = 9% x $2,000 $11,
15 Calculating Future Value of an Annuity Due Manually Step 1. Calculate the interest on the balance for the period and add it to the previous balance Step 2. Add additional investment at the beginning of the period to the new balance. Step 3. Repeat steps 1 and 2 until the end of the desired period is reached. See example on next slide
16 13-16 Calculating Future Value of an Annuity Due manually (deposits at beginning of period) Find the value of an investment after 5 years for a $2,000 annuity due at 9% YEAR 1 2, deposit, beginning year interest earned during year 1 2, new balance at end of year 1 YEAR 2 2, deposit, beginning year 2 4, balance after year 2 deposit interest earned during year 2 4, new balance at end of year 2 YEAR 3 2, deposit, beginning year 3 6, balance after year 3 deposit interest earned during year 3 7, new balance at end of year 3 YEAR 4 2, deposit, beginning year 4 9, balance after year 4 deposit interest earned during year 4 9, new balance at end of year 4 YEAR 5 2, deposit, beginning year 5 11, balance after year 5 deposit 1, interest earned during year 5 13, new balance at end of year 5
17 Calculating Future Value of an Annuity Due by Table Lookup Calculate the number of periods and rate per period. Add one extra period. Look up the number of periods on the appropriate interest rate page in the Math Handbook. At the intersection of the correct period row and the Amount of Annuity column, you will find the needed table factor. Multiply the payment each period by the table factor. Subtract 1 payment
18 Future Value of an Annuity Due Find the value of an investment after 5 years for a $2,000 annuity due at 9%. N = 5 x 1 = = 6 R = 9%/1 = 9% x $2,000 $15, $2,000 $13,
19 Figure Present value of an annuity of $1 at 8% $3.50 $3.00 $2.58 $2.50 $2.00 $1.78 $1.50 $1.00 $.93 $0.50 $ End of period 13-19
20 Calculating Present Value of an Ordinary Annuity by Table Lookup Step 1. Calculate the number of periods and rate per period Step 2. Find the percent page in the Math Handbook. Look up the number of periods in the first column. At the intersection of the correct period row and the present value of annuity column, you will find the needed table factor. Step 3. Multiply the withdrawal for a period by the table factor. This gives the present value of an ordinary annuity 13-20
21 Table Present Value of an Annuity of $1 Present value of an annuity of $1 (Partial) Period 2% 3% 4% 5% 6% 7% 8% 9% 10%
22 Period 5% Compound Interest (future value) Present Value Amount of Annuity (future value) Present Value of Annuity Sinking Fund Present Value of an Annuity at 5% and 10 periods
23 Present Value of an Annuity Duncan Harris wants to receive a $5,000 annuity in 5 years. Interest on the annuity is 8% semiannually. Duncan will make withdrawals every six months. How much must Duncan invest today to receive a stream of payments for 5 years N = 5 x 2 = 10 R = 8%/2 = 4% x $5,000 $40, Interest ==> withdrawal-> Interest ==> withdrawal=> Interest ==> withdrawal=> Interest ==> withdrawal=> Interest ==> withdrawal=> End of Year 5 ==> Manual Calculation $ 40, , , , , (5,000.00) (5,000.00) 37, , , , , (5,000.00) (5,000.00) 33, , , , , (5,000.00) (5,000.00) 30, , , , , (5,000.00) (5,000.00) 26, , , , , (5,000.00) (5,000.00) 0.03
24 Sinking Funds (Find Periodic Payments) Bonds Bonds Sinking Fund = Future x Sinking Fund Payment Value Table Factor 13-24
25 Table Sinking Fund Table Based on $1 Sinking fund table based on $1 (Partial) Period 2% 3% 4% 5% 6% 8% 10%
26 Period 8% Compound Interest (future value) Present Value Amount of Annuity (future value) Present Value of Annuity Sinking Fund Sinking Fund at 8% and 10 periods
27 Sinking Fund To retire a bond issue, Randolph Company needs $150,000 in 10 years. The interest rate is 8% compounded annually. What payment must Randolph Co. make at the end of each year to meet its obligation? Check $10,350 x ,936.30* N = 10 x 1 = 10 R = 8%/1 = 8% x $150,000 $10,350 N = 10, R= 8% Use Sinking Fund Column * Off due to rounding 13-27
Exercise Maturity Interest paid Stated rate Effective (market) rate 10 years annually 10% 12%
Exercise 14-2 1. Maturity Interest paid Stated rate Effective (market) rate 10 years annually 10% 12% Interest $100,000 x 5.65022 * = $565,022 Principal $1,000,000 x 0.32197 ** = 321,970 Present value
More informationPrinciples of Corporate Finance
Principles of Corporate Finance Professor James J. Barkocy Time is money really McGraw-Hill/Irwin Copyright 2015 by The McGraw-Hill Companies, Inc. All rights reserved. Time Value of Money Money has a
More informationTime Value of Money, Part 5 Present Value aueof An Annuity. Learning Outcomes. Present Value
Time Value of Money, Part 5 Present Value aueof An Annuity Intermediate Accounting I Dr. Chula King 1 Learning Outcomes The concept of present value Present value of an annuity Ordinary annuity versus
More informationWorksheet-2 Present Value Math I
What you will learn: Worksheet-2 Present Value Math I How to compute present and future values of single and annuity cash flows How to handle cash flow delays and combinations of cash flow streams How
More informationSection 5.1 Simple and Compound Interest
Section 5.1 Simple and Compound Interest Question 1 What is simple interest? Question 2 What is compound interest? Question 3 - What is an effective interest rate? Question 4 - What is continuous compound
More informationFuture Value Sinking Fund Present Value Amortization. P V = P MT [1 (1 + i) n ] i
Math 141-copyright Joe Kahlig, 14B Page 1 Section 5.2: Annuities Section 5.3: Amortization and Sinking Funds Definition: An annuity is an instrument that involves fixed payments be made/received at equal
More informationReporting and Interpreting Bonds
Reporting and Interpreting Bonds CHAPTER 10 McGraw-Hill/Irwin 2009 The McGraw-Hill Companies, Inc. Not Barry and not James Slide 2 Understanding the Business The mixture of debt and equity used to finance
More informationMath 1324 Finite Mathematics Chapter 4 Finance
Math 1324 Finite Mathematics Chapter 4 Finance Simple Interest: Situation where interest is calculated on the original principal only. A = P(1 + rt) where A is I = Prt Ex: A bank pays simple interest at
More informationChapter 9: Consumer Mathematics. To convert a percent to a fraction, drop %, use percent as numerator and 100 as denominator.
Chapter 9: Consumer Mathematics Definition: Percent To convert a percent to a decimal, drop % and move the decimal two places left. Examples: To convert a percent to a fraction, drop %, use percent as
More informationThe McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin
1-1 2012 The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin 3 1 Analyzing Business Transactions Using T Accounts Section 1: Transactions That Affect Assets, Liabilities, and Owner s
More informationPrepared by Johnny Howard 2015 South-Western, a part of Cengage Learning
Prepared by Johnny Howard 23 2 T E R M S Annuities Annuity Present value of an annuity Sinking fund Future value of an annuity Ordinary annuity Beginning of the annuity End of the annuity 1 23 3 Figure
More informationChapter 7. Trade Discounts Cash Discounts (and Freight Charges)
Chapter 7 Trade Discounts Cash Discounts (and Freight Charges) 7-1 McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. Distribution Chain Manufacturer (General Mills)
More information3.1 Simple Interest. Definition: I = Prt I = interest earned P = principal ( amount invested) r = interest rate (as a decimal) t = time
3.1 Simple Interest Definition: I = Prt I = interest earned P = principal ( amount invested) r = interest rate (as a decimal) t = time An example: Find the interest on a boat loan of $5,000 at 16% for
More informationMATH COLLEGE ALGEBRA/BUSN - PRACTICE EXAM #3 - FALL DR. DAVID BRIDGE
MATH 15 - COLLEGE ALGEBRA/BUSN - PRACTICE EXAM # - FALL 2007 - DR. DAVID BRIDGE MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the simple interest.
More informationJanuary 29. Annuities
January 29 Annuities An annuity is a repeating payment, typically of a fixed amount, over a period of time. An annuity is like a loan in reverse; rather than paying a loan company, a bank or investment
More informationMath 147 Section 6.4. Application Example
Math 147 Section 6.4 Present Value of Annuities 1 Application Example Suppose an individual makes an initial investment of $1500 in an account that earns 8.4%, compounded monthly, and makes additional
More informationSimple Interest: Interest earned on the original investment amount only. I = Prt
c Kathryn Bollinger, June 28, 2011 1 Chapter 5 - Finance 5.1 - Compound Interest Simple Interest: Interest earned on the original investment amount only If P dollars (called the principal or present value)
More informationSimple Interest: Interest earned on the original investment amount only
c Kathryn Bollinger, November 30, 2005 1 Chapter 5 - Finance 5.1 - Compound Interest Simple Interest: Interest earned on the original investment amount only = I = Prt I = the interest earned, P = the amount
More informationF.3 - Annuities and Sinking Funds
F.3 - Annuities and Sinking Funds Math 166-502 Blake Boudreaux Department of Mathematics Texas A&M University March 22, 2018 Blake Boudreaux (TAMU) F.3 - Annuities March 22, 2018 1 / 12 Objectives Know
More informationFIN 1050 Time Value of Money Problems
Name: FIN 1050 Time Value of Money Problems Directions: Using Appendix A in the back of your book (Compound Sum of $1), calculate the following problems: 1. Susan s parents have invested $20,000 for her
More informationREPORTING AND INTERPRETING LIABILITIES
REPORTING AND INTERPRETING LIABILITIES Chapter 9 McGraw-Hill/Irwin 2009 The McGraw-Hill Companies, Slide Inc. 1 UNDERSTANDING THE BUSINESS The acquisition of assets is financed from two sources: Debt -
More informationJohn J. Wild Sixth Edition
Financial Accounting John J. Wild Sixth Edition McGraw-Hill/Irwin Copyright 2013 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 10 Reporting and Analyzing Long-Term Liabilities Conceptual
More information5.3 Amortization and Sinking Funds
5.3 Amortization and Sinking Funds Sinking Funds A sinking fund is an account that is set up for a specific purpose at some future date. Typical examples of this are retirement plans, saving money for
More informationCHAPTER 4 DISCOUNTED CASH FLOW VALUATION
CHAPTER 4 DISCOUNTED CASH FLOW VALUATION Answers to Concept Questions 1. Assuming positive cash flows and interest rates, the future value increases and the present value decreases. 2. Assuming positive
More informationAPPENDIX E. Time Value of Money SOLUTIONS TO BRIEF EXERCISES. Accumulated amount = $9,000 + $5,400 = $14,400
APPENDIX E Time Value of Money SOLUTIONS TO BRIEF EXERCISES BRIEF EXERCISE E-1 (a) Interest = p X i X n I = $9,000 X.05 X 12 years I = $5,400 Accumulated amount = $9,000 + $5,400 = $14,400 (b) Future value
More information6.1 Simple and Compound Interest
6.1 Simple and Compound Interest If P dollars (called the principal or present value) earns interest at a simple interest rate of r per year (as a decimal) for t years, then Interest: I = P rt Accumulated
More informationCHAPTER 4 DISCOUNTED CASH FLOW VALUATION
CHAPTER 4 DISCOUNTED CASH FLOW VALUATION Answers to Concepts Review and Critical Thinking Questions 1. Assuming positive cash flows and interest rates, the future value increases and the present value
More informationMATH 1012 Section 6.6 Solving Application Problems with Percent Bland
MATH 1012 Section 6.6 Solving Application Problems with Percent Bland Office Max sells a flat panel computer monitor for $299. If the sales tax rate is 5%, how much tax is paid? What is the total cost
More informationThe McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin
1-1 10 1 2012 The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Chapter 10 Payroll Computations, Records, and Payment Section 1: Payroll Laws and Taxes Section Objectives 1. Explain
More informationChapter 5 Time Value of Money
Chapter 5 Time Value of Money Answers to End-of-Chapter 5 Questions 5-1 The opportunity cost is the rate of interest one could earn on an alternative investment with a risk equal to the risk of the investment
More informationThe Central Bank s Balance Sheet
The Central Bank Balance Sheet, the Money Supply Process, and the Money Multiplier McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. The Central Bank s Balance Sheet
More informationAPPENDIX C. Time Value of Money SOLUTIONS TO BRIEF EXERCISES. Accumulated amount = $4,000 + $2,000 = $6,000
BRIEF EXERCISE C-1 APPENDIX C Time Value of Money SOLUTIONS TO BRIEF EXERCISES (a) Interest = p X i X n I = $4,000 X.05 X 10 years I = $2,000 Accumulated amount = $4,000 + $2,000 = $6,000 (b) Future value
More informationMath 373 Test 2 Fall 2013 October 17, 2013
Math 373 Test 2 Fall 2013 October 17, 2013 1. You are given the following table of interest rates: Year 1 Year 2 Year 3 Portfolio Year 2007 0.060 0.058 0.056 0.054 2010 2008 0.055 0.052 0.049 0.046 2011
More informationChapter 4. Banking 4-1. McGraw-Hill/Irwin. Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter 4 Banking 4-1 McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. Checks Written order instructing a bank, credit union, or savings and loan institution to
More informationMathematics for Economists
Department of Economics Mathematics for Economists Chapter 4 Mathematics of Finance Econ 506 Dr. Mohammad Zainal 4 Mathematics of Finance Compound Interest Annuities Amortization and Sinking Funds Arithmetic
More informationExample. Chapter F Finance Section F.1 Simple Interest and Discount
Math 166 (c)2011 Epstein Chapter F Page 1 Chapter F Finance Section F.1 Simple Interest and Discount Math 166 (c)2011 Epstein Chapter F Page 2 How much should be place in an account that pays simple interest
More information4. Depreciation expense in the declining-balance method is calculated by the depreciation rate
Student ID: 89883605 Exam: 060322RR - Business and Finance Basics II When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit Exam.
More informationREVIEW MATERIALS FOR REAL ESTATE FUNDAMENTALS
REVIEW MATERIALS FOR REAL ESTATE FUNDAMENTALS 1997, Roy T. Black J. Andrew Hansz, Ph.D., CFA REAE 3325, Fall 2005 University of Texas, Arlington Department of Finance and Real Estate CONTENTS ITEM ANNUAL
More informationLONG-TERM LIABILITIES
Chapter 14 LONG-TERM LIABILITIES PowerPoint Authors: Susan Coomer Galbreath, Ph.D., CPA Charles W. Caldwell, D.B.A., CMA Jon A. Booker, Ph.D., CPA, CIA Cynthia J. Rooney, Ph.D., CPA Winston Kwok, Ph.D.,
More informationCHAPTER 4 DISCOUNTED CASH FLOW VALUATION
CHAPTER 4 DISCOUNTED CASH FLOW VALUATION Answers to Concept Questions 1. Assuming positive cash flows and interest rates, the future value increases and the present value decreases. 2. Assuming positive
More informationFuture Value of Multiple Cash Flows
Future Value of Multiple Cash Flows FV t CF 0 t t r CF r... CF t You open a bank account today with $500. You expect to deposit $,000 at the end of each of the next three years. Interest rates are 5%,
More information5.1 Compound Amounts. 5: Uniform Series. Uniform Series Compound Amount Factor. Observations. Example 5.1 Uniform Series CA. Example 5.
5: niform Series Cash flows of uniform series Equal Occur each compounding period Also known as annuities, even if not yearly se one series factor instead of several single payment factors Two situations
More informationLONG-TERM LIABILITIES
Chapter 14 LONG-TERM LIABILITIES PowerPoint Authors: Susan Coomer Galbreath, Ph.D., CPA Charles W. Caldwell, D.B.A., CMA Jon A. Booker, Ph.D., CPA, CIA Cynthia J. Rooney, Ph.D., CPA McGraw-Hill/Irwin Copyright
More informationReal Estate. Refinancing
Introduction This Solutions Handbook has been designed to supplement the HP-12C Owner's Handbook by providing a variety of applications in the financial area. Programs and/or step-by-step keystroke procedures
More informationChapter 2 Applying Time Value Concepts
Chapter 2 Applying Time Value Concepts Chapter Overview Albert Einstein, the renowned physicist whose theories of relativity formed the theoretical base for the utilization of atomic energy, called the
More informationChapter 4: Math of Finance Problems
Identify the type of problem. 1. Anna wants to have $5,000 saved when she graduates from college so that she will have a down payment for a new car. Her credit union pays 5% annual interest compounded
More informationCHAPTER 2 TIME VALUE OF MONEY
CHAPTER 2 TIME VALUE OF MONEY True/False Easy: (2.2) Compounding Answer: a EASY 1. One potential benefit from starting to invest early for retirement is that the investor can expect greater benefits from
More informationChapter Review Problems
Chapter Review Problems Unit 9. Time-value-of-money terminology For Problems 9, assume you deposit $,000 today in a savings account. You earn 5% compounded quarterly. You deposit an additional $50 each
More informationFinite Math APY and Annuities 20 February / 15
APY and Annuities Finite Math 20 February 2017 Finite Math APY and Annuities 20 February 2017 1 / 15 Quiz If some amount of money is deposited into a savings account with interest compounded biweekly,
More information2/22/2017. Engineering Economics Knowledge. Engineering Economics FE REVIEW COURSE SPRING /22/2017
FE REVIEW COURSE SPRING 2017 Engineering Economics Paige Harris 2/22/2017 Engineering Economics Knowledge 4 6 problems Discounted cash flow Equivalence, PW, equivalent annual worth, FW, rate of return
More informationChapter 11. Promissory Notes, Simple Discount Notes, and The Discount Process McGraw-Hill/Irwin
Chapter 11 Promissory Notes, Simple Discount Notes, and The Discount Process 11-1 McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. Structure of a Promissory Note
More informationCOMPREHENSIVE EXAMINATION A PART 1 (Chapters 1-6)
COMPREHENSIVE EXAMINATION A PART 1 (Chapters 1-6) Problem A-I Multiple Choice. Choose the best answer for each of the following questions and enter the identifying letter in the space provided. 1. How
More informationThe time value of money and cash-flow valuation
The time value of money and cash-flow valuation Readings: Ross, Westerfield and Jordan, Essentials of Corporate Finance, Chs. 4 & 5 Ch. 4 problems: 13, 16, 19, 20, 22, 25. Ch. 5 problems: 14, 15, 31, 32,
More informationAppendix 4B Using Financial Calculators
Chapter 4 Discounted Cash Flow Valuation 4B-1 Appendix 4B Using Financial Calculators This appendix is intended to help you use your Hewlett-Packard or Texas Instruments BA II Plus financial calculator
More informationInstallment Loans. Lecture 6 Section Robb T. Koether. Hampden-Sydney College. Fri, Jan 26, 2018
Installment Loans Lecture 6 Section 10.4 Robb T. Koether Hampden-Sydney College Fri, Jan 26, 2018 Robb T. Koether (Hampden-Sydney College) Installment Loans Fri, Jan 26, 2018 1 / 14 1 Installment Loans
More informationHonors Pre-Calculus 3.5 D1 Worksheet Name Exponential Growth and Decay
Honors Pre-Calculus 3.5 D1 Worksheet Name Exponential Growth and Decay Exponential Growth: Exponential Decay: Compound Interest: Compound Interest Continuously: 1. The value in dollars of a car years from
More informationCOMPREHENSIVE EXAMINATION A PART 1 (Chapters 1-6)
COMPREHENSIVE EXAMINATION A PART 1 (Chapters 1-6) Problem A-I Multiple Choice. Choose the best answer for each of the following questions and enter the identifying letter in the space provided. 1. 2. 3.
More informationChapter 15 Long-Term Liabilities
Chapter 15 Long-Term Liabilities CHAPTER OVERVIEW In Chapters 13 and 14 you learned about topics related to shareholders equity. Contributed capital is a major source of funds for corporations. However,
More informationCopyright 2015 by the McGraw-Hill Education (Asia). All rights reserved.
Copyright 2015 by the McGraw-Hill Education (Asia). All rights reserved. Key Concepts and Skills Be able to compute the future value of multiple cash flows Be able to compute the present value of multiple
More informationThe TVM Solver. When you input four of the first five variables in the list above, the TVM Solver solves for the fifth variable.
1 The TVM Solver The TVM Solver is an application on the TI-83 Plus graphing calculator. It displays the timevalue-of-money (TVM) variables used in solving finance problems. Prior to using the TVM Solver,
More information6.1 Simple Interest page 243
page 242 6 Students learn about finance as it applies to their daily lives. Two of the most important types of financial decisions for many people involve either buying a house or saving for retirement.
More informationProduct Highlights FG Index-Series
FG AccumulatorPlus 0 & 4 FG Index-Choice 0 FG Index-Series Fixed Deferred Indexed Annuities ADV 03 (0-20) Rev. -203 3-649 FG Index-Series - Fixed Deferred Indexed Annuities NO BONUS B O N U S UP-FRONT
More informationProf Albrecht s Notes Accounting for Bonds Intermediate Accounting 2
Prof Albrecht s Notes Accounting for Bonds Intermediate Accounting 2 Companies need capital to fund the acquisition of various resources for use in business operations. They get this capital from owners
More informationCopyright 2015 Pearson Education, Inc. All rights reserved.
Chapter 4 Mathematics of Finance Section 4.1 Simple Interest and Discount A fee that is charged by a lender to a borrower for the right to use the borrowed funds. The funds can be used to purchase a house,
More informationModesto Junior College Course Outline of Record MATH 50
Modesto Junior College Course Outline of Record MATH 50 I. OVERVIEW The following information will appear in the 2009-2010 catalog MATH-50 Business Mathematics 3 Units Prerequisite: Satisfactory completion
More informationSection 5.1 Compound Interest
Section 5.1 Compound Interest Simple Interest Formulas: Interest: Accumulated amount: I = P rt A = P (1 + rt) Here P is the principal (money you start out with), r is the interest rate (as a decimal),
More informationChapter. Chapter. Accounting and the Time Value of Money. Time Value of Money. Basic Time Value Concepts. Basic Time Value Concepts
Accounting and the Time Value Money 6 6-1 Prepared by Coby Harmon, University California, Santa Barbara Basic Time Value Concepts Time Value Money In accounting (and finance), the term indicates that a
More informationFin 5413: Chapter 06 - Mortgages: Additional Concepts, Analysis, and Applications Page 1
Fin 5413: Chapter 06 - Mortgages: Additional Concepts, Analysis, and Applications Page 1 INTRODUCTION Solutions to Problems - Chapter 6 Mortgages: Additional Concepts, Analysis, and Applications The following
More informationMcGraw-Hill/Irwin Copyright 2009 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter 12 Planning Investments: Capital Budgeting McGraw-Hill/Irwin Copyright 2009 by The McGraw-Hill Companies, Inc. All rights reserved. What are the Steps in the Capital Budgeting Process? Identify
More informationSections F.1 and F.2- Simple and Compound Interest
Sections F.1 and F.2- Simple and Compound Interest Simple Interest Formulas If I denotes the interest on a principal P (in dollars) at an interest rate of r (as a decimal) per year for t years, then we
More informationYear 10 Mathematics Semester 2 Financial Maths Chapter 15
Year 10 Mathematics Semester 2 Financial Maths Chapter 15 Why learn this? Everyone requires food, housing, clothing and transport, and a fulfilling social life. Money allows us to purchase the things we
More informationHello I'm Professor Brian Bueche, welcome back. This is the final video in our trilogy on time value of money. Now maybe this trilogy hasn't been as
Hello I'm Professor Brian Bueche, welcome back. This is the final video in our trilogy on time value of money. Now maybe this trilogy hasn't been as entertaining as the Lord of the Rings trilogy. But it
More informationClick to edit Master title style
1 Adeng Pustikaningsih, M.Si. Dosen Jurusan Pendidikan Akuntansi Fakultas Ekonomi Universitas Negeri Yogyakarta CP: 08 222 180 1695 Email : adengpustikaningsih@uny.ac.id 1 2 15 Bonds Payable and Investments
More informationChapter Ten, Debt Financing: Bonds of Introduction to Financial Accounting online text, by Henry Dauderis and David Annand is available under
Chapter Ten, Debt Financing: Bonds of Introduction to Financial Accounting online text, by Henry Dauderis and David Annand is available under Creative Commons Attribution-NonCommercial- ShareAlike 4.0
More informationChapter 4. Discounted Cash Flow Valuation
Chapter 4 Discounted Cash Flow Valuation Appreciate the significance of compound vs. simple interest Describe and compute the future value and/or present value of a single cash flow or series of cash flows
More information5-1 FUTURE VALUE If you deposit $10,000 in a bank account that pays 10% interest ann~ally, how much will be in your account after 5 years?
174 Part 2 Fundamental Concepts in Financial Management QuESTIONS 5-1 What is an opportunity cost? How is this concept used in TVM analysis, and where is it shown on a time line? Is a single number used
More informationm
Chapter 1: Linear Equations a. Solving this problem is equivalent to finding an equation of a line that passes through the points (0, 24.5) and (30, 34). We use these two points to find the slope: 34 24.5
More information3) Money accumulates when it is invested and earns interest, because of the time value of money. Answer: TRUE
Personal Finance, 2Ce (Madura/Gill) Chapter 2 Applying Time Value Concepts 2.1 True/False 1) Time value of money is based on the belief that a dollar that will be received at some future date is worth
More informationProduct Highlights FG Index-Series
FG AccumulatorPlus 10 & 14 FG Index-Choice 10 Product Highlights FG Index-Series Fixed Deferred Indexed Annuities ADV 1013 (01-2011) FOR PRODUCER USE ONLY. NOT FOR USE WITH THE GENERAL PUBLIC. Rev. 03-2015
More informationExercises. The bond is being issued at a premium, and the selling price would be higher than the face amount.
Chapter 11 Liabilities: Bonds Payable Study Guide Solutions Fill-in-the-Blank Equations 1. A discount 2. The face amount 3. A premium 4. Interest expense Exercises 1. Roses Corporation issued a bond with
More informationบทท 3 ม ลค าของเง นตามเวลา (Time Value of Money)
บทท 3 ม ลค าของเง นตามเวลา (Time Value of Money) Topic Coverage: The Interest Rate Simple Interest Rate Compound Interest Rate Amortizing a Loan Compounding Interest More Than Once per Year The Time Value
More informationLesson 39 Appendix I Section 5.6 (part 1)
Lesson 39 Appendix I Section 5.6 (part 1) Any of you who are familiar with financial plans or retirement investments know about annuities. An annuity is a plan involving payments made at regular intervals.
More informationMAT 121: Mathematics for Business and Information Science OPTIONAL Take-Home "Quest" on Chapter 5: Mathematics of Finance 70 Points Total.
Name: Section: Date: MAT 121: Mathematics for Business and Information Science OPTIONAL Take-Home "Quest" on Chapter 5: Mathematics of Finance 70 Points Total Guidelines 1. Each student must produce his
More informationCHAPTER 6. Accounting and the Time Value of Money. 2. Use of tables. 13, a. Unknown future amount. 7, 19 1, 5, 13 2, 3, 4, 7
CHAPTER 6 Accounting and the Time Value of Money ASSIGNMENT CLASSIFICATION TABLE (BY TOPIC) Topics Questions Brief Exercises Exercises Problems 1. Present value concepts. 1, 2, 3, 4, 5, 9, 17 2. Use of
More informationPrinciples of Corporate Finance
Principles of Corporate Finance Professor James J. Barkocy Business, that s easily defined it s other people s money. Peter Drucker McGraw-Hill/Irwin Copyright 2015 by The McGraw-Hill Companies, Inc. All
More informationMath 373 Test 2 Fall 2014 March 11, 2014
Math 373 Test 2 Fall 204 March, 204. Rendong is repaying a loan of 0,000 with monthly payments of 400 plus a smaller drop payment. Rendong is paying an annual effective interest rate of %. Determine the
More informationStudent ID: Exam: RR - Business and Finance Basics I
Student ID: 21703214 Exam: 060321RR - Business and Finance Basics I When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit Exam.
More informationTime Value of Money. Appendix E. Learning Objectives. After studying this chapter, you should be able to:
E- 1 Appendix E Time Value of Money E- 2 Learning Objectives After studying this chapter, you should be able to: 1. Distinguish between simple and compound interest. 2. Solve for future value of a single
More informationMATH COLLEGE ALGEBRA/BUSN - PRACTICE EXAM #3 - FALL DR. DAVID BRIDGE
MATH 45 - COLLEGE ALGEBRA/BUSN - PRACTICE EXAM # - FALL 00 - DR. DAVID BRIDGE MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the simple interest.
More informationAccounting for Long. Different Ways to Finance a Company. u Borrowing from a Bank (Ch 9): Notes Payable More expensive and restrictive than bonds.
Accounting for Long Term Liabilities Ch 10 Acc 1a Different Ways to Finance a Company u Borrowing from a Bank (Ch 9): Notes Payable More expensive and restrictive than bonds. u Selling Stock (Ch 11): Gives
More informationCHAPTER 2. How to Calculate Present Values
Chapter 02 - How to Calculate Present Values CHAPTER 2 How to Calculate Present Values The values shown in the solutions may be rounded for display purposes. However, the answers were derived using a spreadsheet
More informationLesson TVM xx. Present Value Annuity Due
Lesson TVM-10-060-xx Present Value Annuity Due This workbook contains notes and worksheets to accompany the corresponding video lesson available online at: Permission is granted for educators and students
More informationFinQuiz Notes
Reading 6 The Time Value of Money Money has a time value because a unit of money received today is worth more than a unit of money to be received tomorrow. Interest rates can be interpreted in three ways.
More informationFull file at https://fratstock.eu
Chapter 2 Time Value of Money ANSWERS TO END-OF-CHAPTER QUESTIONS 2-1 a. PV (present value) is the value today of a future payment, or stream of payments, discounted at the appropriate rate of interest.
More informationCapital Budgeting Decisions
Capital Budgeting Decisions Chapter 13 PowerPoint Authors: Susan Coomer Galbreath, Ph.D., CPA Charles W. Caldwell, D.B.A., CMA Jon A. Booker, Ph.D., CPA, CIA Cynthia J. Rooney, Ph.D., CPA Copyright 2012
More information2. A loan of $7250 was repaid at the end of 8 months. What size repayment check was written if a 9% annual rate of interest was charged?
Math 1630 Practice Test Name Chapter 5 Date For each problem, indicate which formula you are using, (B) substitute the given values into the appropriate places, and (C) solve the formula for the unknown
More informationAnnuities and Income Streams
Annuities and Income Streams MATH 151 Calculus for Management J. Robert Buchanan Department of Mathematics Summer 212 Objectives After completing this lesson we will be able to: determine the value of
More informationThe Accounting Cycle: Accruals and Deferrals
The Accounting Cycle: Accruals and Deferrals Chapter 4 McGraw-Hill/Irwin Copyright 2010 by The McGraw-Hill Companies, Inc. All rights reserved. Adjusting Entries Adjusting entries are needed whenever revenue
More informationFinancing Feedbacks FORECASTING FINANCIAL STATEMENTS WITH FINANCING FEEDBACKS AND ALTERNATIVE SOURCES OF FUNDS
W E B E X T E N S I O N9A Financing Feedbacks In Chapter 9, we forecasted financial statements under the assumption that the firm s interest expense can be estimated as the product of the prior year s
More informationChapter 3 Mathematics of Finance
Chapter 3 Mathematics of Finance Section R Review Important Terms, Symbols, Concepts 3.1 Simple Interest Interest is the fee paid for the use of a sum of money P, called the principal. Simple interest
More information