Principles of Accounting II Chapter 14: Time Value of Money
|
|
- Leslie Madison Chandler
- 6 years ago
- Views:
Transcription
1 Principles of Accounting II Chapter 14: Time Value of Money What Is Accounting? Process of,, and information To facilitate informed. Accounting is the of. Operating, Investing, Financing Businesses plan for which activity? Which activity occurs first in a company? Which activity is important? Equation Fun(damentals) Profit + Expenses = Assets - Owners Equity = Contributions + Profit - Dividends = 1
2 Financial Statements Which statement provides a of the business s financial health at a point in time? Which statement contains,, and activities in separate sections? revenue is on which statement? Determine Cash and Accrual Basis Income TJ shipped CDs to customers and billed them $. TJ deposited $ he received from customers into his bank account. TJ incurred $ in operating costs. TJ wrote checks to cover operating costs in the amount of $. Determine Cash Receipts Billie s cash basis income for the month was $. She wrote checks for $ to pay operating expenses this month. 2
3 Determine Accrual Revenue Nancy incurred $ operating expenses. She wrote checks for $ in operating expenses and deposited $ from customer payments. Her accrual basis income was $. How much did she bill her customers? Principles I vs. Principles II In Principles I, we focused on the business. In Principles II, we will focus on and activities. Return of Investment vs. Return on Investment Return of investment is. Return on investment is. Rate of Return Rate of return =
4 Calculate Rate of Return You invest $ in a certificate of deposit. Later, you receive $. What is the rate of return? You Can t Lose in Real Estate Now assume you invest $ in a tract of raw land. One year later, you sell the land to your brother-in-law for $. What is the rate of return? Using Rate of Return You invest $ in a bank account earning a % annual rate of return. At the end of year 1, what do you expect to have in the account? How about at the end of year 2? 4
5 Interest = Principal x Rate x Time i 1 = p 1 + i 1 = i 2 = p 2 + i 2 = This illustrates. Advantage of Compounding What does it mean to compound? What is the result of more compounding? Why? 5
6 Semiannual Compounding Power! Principal Interest Date Amount Income Balance 1/1/x1 $ 2, /1/x1 $ 2, /31/x1 6/1/x2 12/31/x2 How was the $ interest computed? When compounding interest more than once a year, use the. 6
7 Try This One Jimbob deposits $ in a savings account on 1/1/x1 and earns % annual interest. Quarterly Compounding: Principal Interest Date Amount Income Balance 1/1/x1 $ 5, /1/x1 $ 5, /1/x1 9/1/x1 12/31/x1 Semiannual Compounding: Principal Interest Date Amount Income Balance 1/1/x1 $ 5, /1/x1 $ 5, /31/x1 What is his balance on 6/1/x1 and 12/31/x1 if interest is compounded? What is his balance on 6/1/x1 and 12/31/x1 if interest is compounded? 7
8 Future Value of $1 Future value is. Let s prove our answer for the $ we invested for a year at % with quarterly and semiannual compounding. We need: o interest rate per period (not year) o # of periods Go to the Future Value of $1 table on page 922. Quarterly: $5,000 x = $ [same as $5,000 x x x x ] Semiannually: $5,000 x = $ [same as $5,000 x x ] Present Value of $1 In computing FV, we knew the ( ), the interest rate, and the length of time. Sometimes we know the, the interest rate, and the length of time but wish to compute the. Present value is. 8
9 Decision Involving Present Value Customer Blanche will pay $ today. Customer Bob will pay $ in a year. Assuming both Bob and Blanche are reliable credit risks, which customer do you prefer assuming an effective interest rate of %? Key: Compare the payments of both customers on a basis. $5,000 x = $, which is than Blanche s current $ payment. Could the two payments have been compared on a basis instead? Would the decision differ? Learning Insights Compare dollar amounts on either a or basis. comparisons are generally better. The PV is always than the FV. 9
10 Try Working These How much would you have to invest today at % compounded semiannually to accumulate $ at the end of years? $ x = $ How much can you spend on a new car if you invest the $ you have now for years at % compounded quarterly? $ x = $ Introduction to Annuities We have calculated the value of a known current amount. We have calculated the value of a known future amount. Annuities involve a known of payments. One can determine either the present or future value of annuities. Future Value of an Annuity Distinguish between a - and an. Which one of these is an annuity? $20,000 compounded annually at 18% for 8 years $200 per month for 48 months at annual 18% Jot down your guesstimate of the annuity s future value. 10
11 Calculating Annuity s Future Value How many periods does the annuity involve? What is the annuity s interest rate per period? What is the annuity s table factor? Apply the table factor to the annuity payment. Does your answer make sense? Calculating Annuity s Present Value You wish to retire and receive $ a year for life. You expect to live years after retirement and earn interest of % per year. How much must you save by the day you retire to ensure that level of annual income? Is this an annuity? What is the annuity payment? How many periods does the annuity involve? What is the annuity s interest rate per period? What is the annuity s table factor? Apply the table factor to the annuity payment. Does the answer make sense? 11
12 Time Value Concepts in a Nutshell Do the involve a dollar amount or a of dollar amounts? Does the require knowledge of a or dollar amount? Find the Annuity Payment If you had $ saved for college, how much could you spend each year to make it last for years assuming an investment rate of %. PVA = Factor x Payments 12
5.3 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 5: Introduction to Valuation: The Time Value of Money
Chapter 5: Introduction to Valuation: The Time Value of Money Faculty of Business Administration Lakehead University Spring 2003 May 12, 2003 Outline of Chapter 5 5.1 Future Value and Compounding 5.2 Present
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 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 informationMortgages & Equivalent Interest
Mortgages & Equivalent Interest A mortgage is a loan which you then pay back with equal payments at regular intervals. Thus a mortgage is an annuity! A down payment is a one time payment you make so that
More informationInterest: The money earned from an investment you have or the cost of borrowing money from a lender.
8.1 Simple Interest Interest: The money earned from an investment you have or the cost of borrowing money from a lender. Simple Interest: "I" Interest earned or paid that is calculated based only on the
More informationI. Warnings for annuities and
Outline I. More on the use of the financial calculator and warnings II. Dealing with periods other than years III. Understanding interest rate quotes and conversions IV. Applications mortgages, etc. 0
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 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 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 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 informationDescribe the importance of capital investments and the capital budgeting process
Chapter 20 Making capital investment decisions Affects operations for many years Requires large sums of money Describe the importance of capital investments and the capital budgeting process 3 4 5 6 Operating
More informationAdvanced Mathematical Decision Making In Texas, also known as
Advanced Mathematical Decision Making In Texas, also known as Advanced Quantitative Reasoning Unit VI: Decision Making in Finance This course is a project of The Texas Association of Supervisors of Mathematics
More informationChapter 03 - Basic Annuities
3-1 Chapter 03 - Basic Annuities Section 3.0 - Sum of a Geometric Sequence The form for the sum of a geometric sequence is: Sum(n) a + ar + ar 2 + ar 3 + + ar n 1 Here a = (the first term) n = (the number
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 informationTime Value of Money. Ex: How much a bond, which can be cashed out in 2 years, is worth today
Time Value of Money The time value of money is the idea that money available now is worth more than the same amount in the future - this is essentially why interest exists. Present value is the current
More informationSample Investment Device CD (Certificate of Deposit) Savings Account Bonds Loans for: Car House Start a business
Simple and Compound Interest (Young: 6.1) In this Lecture: 1. Financial Terminology 2. Simple Interest 3. Compound Interest 4. Important Formulas of Finance 5. From Simple to Compound Interest 6. Examples
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 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 informationTime Value of Money. Lakehead University. Outline of the Lecture. Fall Future Value and Compounding. Present Value and Discounting
Time Value of Money Lakehead University Fall 2004 Outline of the Lecture Future Value and Compounding Present Value and Discounting More on Present and Future Values 2 Future Value and Compounding Future
More informationTime value of money-concepts and Calculations Prof. Bikash Mohanty Department of Chemical Engineering Indian Institute of Technology, Roorkee
Time value of money-concepts and Calculations Prof. Bikash Mohanty Department of Chemical Engineering Indian Institute of Technology, Roorkee Lecture 09 Future Value Welcome to the lecture series on Time
More informationA central precept of financial analysis is money s time value. This essentially means that every dollar (or
INTRODUCTION TO THE TIME VALUE OF MONEY 1. INTRODUCTION A central precept of financial analysis is money s time value. This essentially means that every dollar (or a unit of any other currency) received
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 information[Image of Investments: Analysis and Behavior textbook]
Finance 527: Lecture 19, Bond Valuation V1 [John Nofsinger]: This is the first video for bond valuation. The previous bond topics were more the characteristics of bonds and different kinds of bonds. And
More informationCHAPTER 4 TIME VALUE OF MONEY
CHAPTER 4 TIME VALUE OF MONEY 1 Learning Outcomes LO.1 Identify various types of cash flow patterns (streams) seen in business. LO.2 Compute the future value of different cash flow streams. Explain the
More informationEquation of Value II. If we choose t = 0 as the comparison date, then we have
Equation of Value I Definition The comparison date is the date to let accumulation or discount values equal for both direction of payments (e.g. payments to the bank and money received from the bank).
More informationC H A P T E R 6 ACCOUNTING AND THE TIME VALUE OF MONEY. Intermediate Accounting Presented By; Ratna Candra Sari
C H A P T E R 6 ACCOUNTING AND THE TIME VALUE OF MONEY 6-1 Intermediate Accounting Presented By; Ratna Candra Sari Email: ratna_candrasari@uny.ac.id Learning Objectives 1. Identify accounting topics where
More informationQuantitative Literacy: Thinking Between the Lines
Quantitative Literacy: Thinking Between the Lines Crauder, Evans, Johnson, Noell Chapter 4: Personal Finance 2011 W. H. Freeman and Company 1 Chapter 4: Personal Finance Lesson Plan Saving money: The power
More informationChapter 5. Finance 300 David Moore
Chapter 5 Finance 300 David Moore Time and Money This chapter is the first chapter on the most important skill in this course: how to move money through time. Timing is everything. The simple techniques
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 informationSimple Interest. Simple Interest is the money earned (or owed) only on the borrowed. Balance that Interest is Calculated On
MCR3U Unit 8: Financial Applications Lesson 1 Date: Learning goal: I understand simple interest and can calculate any value in the simple interest formula. Simple Interest is the money earned (or owed)
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 Mathematics of Interest An Example Assume a bank pays 8% interest on a $100 deposit made today. How much
The Mathematics of Interest An Example CAPITAL BUDGETING Assume a bank pays 8% interest on a $100 deposit made today. How much will the $100 be worth in one year? F n = P(1 + r) n 1 3 Typical Capital Budgeting
More informationFinancial Management Masters of Business Administration Study Notes & Practice Questions Chapter 2: Concepts of Finance
Financial Management Masters of Business Administration Study Notes & Practice Questions Chapter 2: Concepts of Finance 1 Introduction Chapter 2: Concepts of Finance 2017 Rationally, you will certainly
More informationGrade 11 Economics Unit #2: Consumer Theory and Personal Financial Planning Practice Test and Answer Key
Name: Grade 11 Economics Unit #2: Consumer Theory and Personal Financial Planning Practice Test and Answer Key Note: Section #1 of the actual test will contain multiple-choice questions. You can practice
More informationFinance Notes AMORTIZED LOANS
Amortized Loans Page 1 of 10 AMORTIZED LOANS Objectives: After completing this section, you should be able to do the following: Calculate the monthly payment for a simple interest amortized loan. Calculate
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 informationChapter 6. Learning Objectives. Principals Applies in this Chapter. Time Value of Money
Chapter 6 Time Value of Money 1 Learning Objectives 1. Distinguish between an ordinary annuity and an annuity due, and calculate the present and future values of each. 2. Calculate the present value of
More informationMidterm Review Package Tutor: Chanwoo Yim
COMMERCE 298 Intro to Finance Midterm Review Package Tutor: Chanwoo Yim BCom 2016, Finance 1. Time Value 2. DCF (Discounted Cash Flow) 2.1 Constant Annuity 2.2 Constant Perpetuity 2.3 Growing Annuity 2.4
More informationTIME VALUE OF MONEY. (Difficulty: E = Easy, M = Medium, and T = Tough) Multiple Choice: Conceptual. Easy:
TIME VALUE OF MONEY (Difficulty: E = Easy, M = Medium, and T = Tough) Multiple Choice: Conceptual Easy: PV and discount rate Answer: a Diff: E. You have determined the profitability of a planned project
More informationInterest and present value Simple Interest Interest amount = P x i x n p = principle i = interest rate n = number of periods Assume you invest $1,000 at 6% simple interest for 3 years. You would earn $180
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 informationREVIEW OF KEY CONCEPTS
REVIEW OF KEY CONCEPTS 7.2 Compound Interest Refer to the Key Concepts on page 507. 1. Find the amount of each investment. a) $400 at 6% per annum, compounded monthly, for 5 years b) $1500 at 4.25% per
More informationThe car Adam is considering is $35,000. The dealer has given him three payment options:
Adam Rust looked at his mechanic and sighed. The mechanic had just pronounced a death sentence on his road-weary car. The car had served him well---at a cost of 500 it had lasted through four years of
More informationChapter 5. Interest Rates ( ) 6. % per month then you will have ( 1.005) = of 2 years, using our rule ( ) = 1.
Chapter 5 Interest Rates 5-. 6 a. Since 6 months is 24 4 So the equivalent 6 month rate is 4.66% = of 2 years, using our rule ( ) 4 b. Since one year is half of 2 years ( ).2 2 =.0954 So the equivalent
More informationSimple Interest: Interest earned only on the original principal amount invested.
53 Future Value (FV): The amount an investment is worth after one or more periods. Simple Interest: Interest earned only on the original principal amount invested. Compound Interest: Interest earned on
More informationPlease do your work on a separate sheet of paper and circle your final answers.
QUIZ 3 MAT 340 ANNUITIES Part II LOANS Part I Please do your work on a separate sheet of paper and circle your final answers. 1. Calculate the present value of an annuity immediate that has a sequence
More informationChapter 9, Mathematics of Finance from Applied Finite Mathematics by Rupinder Sekhon was developed by OpenStax College, licensed by Rice University,
Chapter 9, Mathematics of Finance from Applied Finite Mathematics by Rupinder Sekhon was developed by OpenStax College, licensed by Rice University, and is available on the Connexions website. It is used
More informationPrinciples of Corporate Finance. Brealey and Myers. Sixth Edition. ! How to Calculate Present Values. Slides by Matthew Will.
Principles of Corporate Finance Brealey and Myers Sixth Edition! How to Calculate Present Values Slides by Matthew Will Chapter 3 3-2 Topics Covered " Valuing Long-Lived Assets " PV Calculation Short Cuts
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 informationChapter 21: Savings Models
October 14, 2013 This time Arithmetic Growth Simple Interest Geometric Growth Compound Interest A limit to Compounding Simple Interest Simple Interest Simple Interest is interest that is paid on the original
More informationIntroduction to Earning Interest: APR, APY and Compound Interest
Principal and Interest Example 1 Michael is saving money to buy a car. He takes $8,000 to the bank and opens an annual CD upon which the bank agrees to pay him 2% interest. Principal = 8000 Term = 1 year
More informationANSWERS TO CHAPTER QUESTIONS. The Time Value of Money. 1) Compounding is interest paid on principal and interest accumulated.
ANSWERS TO CHAPTER QUESTIONS Chapter 2 The Time Value of Money 1) Compounding is interest paid on principal and interest accumulated. It is important because normal compounding over many years can result
More informationCHAPTER 2 How to Calculate Present Values
CHAPTER How to Calculate Present Values Answers to Problem Sets. If the discount factor is.507, then.507 x. 6 = $. Est time: 0-05. DF x 39 = 5. Therefore, DF =5/39 =.899. Est time: 0-05 3. PV = 374/(.09)
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 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 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 informationCP:
Adeng Pustikaningsih, M.Si. Dosen Jurusan Pendidikan Akuntansi Fakultas Ekonomi Universitas Negeri Yogyakarta CP: 08 222 180 1695 Email : adengpustikaningsih@uny.ac.id 6-1 6-2 PREVIEW OF CHAPTER 6 6-3
More informationChapter Organization. The future value (FV) is the cash value of. an investment at some time in the future.
Chapter 5 The Time Value of Money Chapter Organization 5.2. Present Value and Discounting The future value (FV) is the cash value of an investment at some time in the future Suppose you invest 100 in a
More informationName: Class: Date: ID: A
Name: Class: Date: Unit 6 Financial Problems Practice Test Remember the following formulae: Simple Interest: I = Prt Compound Interest: A =P(1 + i) n 1. In the two formula above, what is the difference
More information1) Cash Flow Pattern Diagram for Future Value and Present Value of Irregular Cash Flows
Topics Excel & Business Math Video/Class Project #45 Cash Flow Analysis for Annuities: Savings Plans, Asset Valuation, Retirement Plans and Mortgage Loan. FV, PV and PMT. 1) Cash Flow Pattern Diagram for
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 informationFINANCE FOR EVERYONE SPREADSHEETS
FINANCE FOR EVERYONE SPREADSHEETS Some Important Stuff Make sure there are at least two decimals allowed in each cell. Otherwise rounding off may create problems in a multi-step problem Always enter the
More informationTime value of money-concepts and Calculations Prof. Bikash Mohanty Department of Chemical Engineering Indian Institute of Technology, Roorkee
Time value of money-concepts and Calculations Prof. Bikash Mohanty Department of Chemical Engineering Indian Institute of Technology, Roorkee Lecture 08 Present Value Welcome to the lecture series on Time
More informationCS 413 Software Project Management LECTURE 8 COST MANAGEMENT FOR SOFTWARE PROJECT - II CASH FLOW ANALYSIS TECHNIQUES
LECTURE 8 COST MANAGEMENT FOR SOFTWARE PROJECT - II CASH FLOW ANALYSIS TECHNIQUES PAYBACK PERIOD: The payback period is the length of time it takes the company to recoup the initial costs of producing
More informationInterest: the bedrock of nance
Section 1.2: Simple Interest Section 1.3: Annually Compounded Interest MATH 105: Contemporary Mathematics University of Louisville August 24, 2017 What is interest? 2 / 21 Interest: the bedrock of nance
More informationFinancial institutions pay interest when you deposit your money into one of their accounts.
KEY CONCEPTS Financial institutions pay interest when you deposit your money into one of their accounts. Often, financial institutions charge fees or service charges for providing you with certain services
More informationSection Compound Interest. Copyright 2013, 2010, 2007, Pearson, Education, Inc.
Section 11.3 Compound Interest INB Table of Contents Date Topic Page # June 15, 2015 Section 11.3 Examples 32 June 15, 2015 Section 11.3 Notes 33 2.3-2 What You Will Learn Compound Interest Present Value
More informationTime Value of Money. All time value of money problems involve comparisons of cash flows at different dates.
Time Value of Money The time value of money is a very important concept in Finance. This section is aimed at giving you intuitive and hands-on training on how to price securities (e.g., stocks and bonds),
More informationBusiness 5039, Fall 2004
Business 5039, Fall 4 Assignment 3 Suggested Answers 1. Financial Planning Using the financial statements for Rosengarten, Inc., in Table 1, answer the following questions. a) 10 points) Construct Rosengarten
More informationACCT 5101 Pretest. The sample pretest follows this page.
ACCT 5101 Pretest REQUIRED for all students who wish to register for ACCT 5101 who have not received a B- or better in ACCT 2050 here at the University of Minnesota -TC. Even if an equivalent to ACCT 2050
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 informationSolutions to Questions - Chapter 3 Mortgage Loan Foundations: The Time Value of Money
Solutions to Questions - Chapter 3 Mortgage Loan Foundations: The Time Value of Money Question 3-1 What is the essential concept in understanding compound interest? The concept of earning interest on interest
More informationSection Compound Interest
Section 5.1 - 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 have: Interest: Accumulated
More informationMath 34: Section 7.2 (Bonds)
Math 34: 2016 Section 7.2 (Bonds) Bond is a type of promissory note. A bond written agreement between borrower and a lender specifying the terms of the loan. We usually use the word bond when the borrower
More informationName Date. Goal: Solve problems that involve credit.
F Math 12 2.3 Solving Problems Involving Credit p. 104 Name Date Goal: Solve problems that involve credit. 1. line of credit: A pre-approved loan that offers immediate access to funds, up to a predefined
More informationIntroduction. Once you have completed this chapter, you should be able to do the following:
Introduction This chapter continues the discussion on the time value of money. In this chapter, you will learn how inflation impacts your investments; you will also learn how to calculate real returns
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 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
1. Future Value of a Lump Sum 2. Present Value of a Lump Sum 3. Future Value of Cash Flow Streams 4. Present Value of Cash Flow Streams 5. Perpetuities 6. Uneven Series of Cash Flows 7. Other Compounding
More informationUnit 9 Financial Mathematics: Borrowing Money. Chapter 10 in Text
Unit 9 Financial Mathematics: Borrowing Money Chapter 10 in Text 9.1 Analyzing Loans Simple vs. Compound Interest Simple Interest: the amount of interest that you pay on a loan is calculated ONLY based
More informationUnit 9 Financial Mathematics: Borrowing Money. Chapter 10 in Text
Unit 9 Financial Mathematics: Borrowing Money Chapter 10 in Text 9.1 Analyzing Loans Simple vs. Compound Interest Simple Interest: the amount of interest that you pay on a loan is calculated ONLY based
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 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 informationReview for Exam #2. Review for Exam #2. Exam #2. Don t Forget: Scan Sheet Calculator Pencil Picture ID Cheat Sheet.
Review for Exam #2 Exam #2 Don t Forget: Scan Sheet Calculator Pencil Picture ID Cheat Sheet Things To Do Study both the notes and the book. Do suggested problems. Do more problems! Be comfortable with
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 informationMathematics of Finance: Homework
OpenStax-CNX module: m38651 1 Mathematics of Finance: Homework UniqU, LLC Based on Applied Finite Mathematics: Chapter 05 by Rupinder Sekhon This work is produced by OpenStax-CNX and licensed under the
More informationIntroduction to the Compound Interest Formula
Introduction to the Compound Interest Formula Lesson Objectives: students will be introduced to the formula students will learn how to determine the value of the required variables in order to use the
More informationEngineering Economics
Economic Analysis Methods Engineering Economics Day 3: Rate of Return Analysis Three commonly used economic analysis methods are 1. Present Worth Analysis 2. Annual Worth Analysis 3. www.engr.sjsu.edu/bjfurman/courses/me195/presentations/engeconpatel3nov4.ppt
More informationSection 3.4: EXPLORE COMPOUND INTEREST. Understand the concept of getting interest on your interest. Compute compound interest using a table.
Section 3.4: EXPLORE COMPOUND INTEREST OBJECTIVES Understand the concept of getting interest on your interest. Compute compound interest using a table. Key Terms compound interest annual compounding semiannual
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 informationn = Compounding periods( ( how often the interest is added to the principle) I = =
Abe Mirza Finance r F = P( + ) nt n F = Future Value P = Present Value t = time in years r =rate n = Compounding periods( ( how often the interest is added to the principle) Ex. If $4000.00 is invested
More informationMBF1243 Derivatives Prepared by Dr Khairul Anuar
MBF1243 Derivatives Prepared by Dr Khairul Anuar L3 Determination of Forward and Futures Prices www.mba638.wordpress.com Consumption vs Investment Assets When considering forward and futures contracts,
More informationPREVIEW OF CHAPTER 6-2
6-1 PREVIEW OF CHAPTER 6 6-2 Intermediate Accounting IFRS 2nd Edition Kieso, Weygandt, and Warfield 6 Accounting and the Time Value of Money LEARNING OBJECTIVES After studying this chapter, you should
More informationFormat: True/False. Learning Objective: LO 3
Parrino/Fundamentals of Corporate Finance, Test Bank, Chapter 6 1.Calculating the present and future values of multiple cash flows is relevant only for individual investors. 2.Calculating the present and
More informationFINANCIAL DECISION RULES FOR PROJECT EVALUATION SPREADSHEETS
FINANCIAL DECISION RULES FOR PROJECT EVALUATION SPREADSHEETS This note is some basic information that should help you get started and do most calculations if you have access to spreadsheets. You could
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 informationLecture Notes 2. XII. Appendix & Additional Readings
Foundations of Finance: Concepts and Tools for Portfolio, Equity Valuation, Fixed Income, and Derivative Analyses Professor Alex Shapiro Lecture Notes 2 Concepts and Tools for Portfolio, Equity Valuation,
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 informationSection 3.5: COMPOUND INTEREST FORMULA
Section 3.5: COMPOUND INTEREST FORMULA OBJECTIVES Become familiar with the derivation of the compound interest formula. Make computations using the compound interest formula. Key Terms compound interest
More information