Chapter 5 - Level 3 - Course FM Solutions
|
|
- Lillian Snow
- 5 years ago
- Views:
Transcription
1 ONLY CERTAIN PROBLEMS HAVE SOLUTIONS. THE REMAINING WILL BE ADDED OVER TIME. 1. Kathy can take out a loan of 50,000 with Bank A or Bank B. With Bank A, she must repay the loan with 60 monthly payments using the amortization method with interest at 7% compounded monthly. With Bank B, she can repay the loan with 60 monthly payments using the sinking fund method. The sinking fund will earn 6.5% compounded monthly. What interest rate can Bank B charge on the loan so that Kathy s payment will be the same under either option? a. 6.56% compounded monthly b. 6.78% compounded monthly c. 7.00% compounded monthly d. 7.25% compounded monthly e. 7.47% compounded monthly 2. A loan of 0,000 is being repaid with annual payments at the end of each year for years. The interest rate on the loan is.25%. Each annual payment increases by 5% over the previous annual payment. Calculate the principal in the fifth payment. a. 5,533 b. 6,850 c. 8,339 d.,020 e. 11, A loan of 30,000 is to be repaid using the sinking fund method over 6 years. The interest on the loan is paid at the end of each year and the interest rate is %. The sinking fund payment is made at the beginning of each year with the sinking fund earning 6%. Calculate the amount paid into the sinking fund each year. a b c d e. 4301
2 4. (S08T2) A loan is being repaid with annual payments for 20 years. The principal in the 5 th payment is $ The principal in the payment is $ Calculate the amount of the loan to the nearest dollar. a. 80, b. 83, c. 116, d. 123,456 e. 215, We know: n=20, , and Using the given information we can find i 16 Q v Substitute for Q in the other given equation v v v i i.06 Now we can find Q by plugging i=.06 into either given equation Q The total loan = Qa so, Qa
3 5. (S09T2) A 30 year mortgage is being repaid with level monthly payments. The principal in the 30 th payment is The principal in the 60 th payment is Calculate the interest in the 90 th payment. a b c d e We know: n=30(12)=360, , and We need to use the given information to find i 331 Q 90.43v Substitute for Q in the other given equation v v 6.61 v i i Now we can find Q 331 Q Q Now we can calculate the interest in the 90 th payment (360901)
4 6. (S12HW) Cui Corporation wants to borrow 200,000. Cui has the choice of the following two loans: Bolle Bank offers a sinking fund loan with annual payments. The annual effective interest rate on the loan is %. The annual effective interest rate to be earned by the sinking fund will be 7.5%. The amount in the sinking fund at the end of years will exactly repay the loan. Fang Finance Company offers an amortization loan with level annual payments at an annual effective interest rate of i. The total annual payments are the same under either loan. Calculate i. a. 5.86% b. 6.29% c % d % e % First, find the payment: L 200, 000 D I il 0.1(200, 000) 34, s n.075 Then use your calculator to solve for i: PV=-200,000; N=; PMT= 34, ; CPT I/Y=11.12%
5 7. (S08T2) Wozny-Wiggins Corporation wants to borrow 500,000 to be repaid with annual payments over ten years. Dummitt Bank offers a loan using the sinking fund method. The interest rate on the loan is i and the sinking fund will earn 5%. Each year, Wozny-Wiggins must pay the interest on the loan and make a payment into the sinking fund. The payments into the sinking fund are such that the amount in the sinking fund after years will exactly repay the loan. Lumley Bank offers a loan based on the amortization method and an annual effective interest rate of 6.5%. The amount of the payment under this loan is exactly equal to the sum of the interest payment and sinking fund deposit on the loan from Dummitt Bank. Calculate i, the annual effective interest rate on the loan from Dummitt Bank? a. 4.13% b. 5.54% c. 5.96% d % e. 7.95% 500, 000 Payment I D i(500, 000) i(500, 000) 39, Payment * a 500, , 000 Payment 69, , 000i 39, , i
6 8. (S09T2) A loan of 50,000 is being repaid with 30 annual payments. The annual effective interest rate on the loan is 6%. The first payment on the loan is 30P. Each subsequent payment decreases by P. Therefore, the second payment is 29P. The third payment is 28P, etc. Calculate the principal in the 29 th payment. a b c d e First we have to find P using the P and Q formula. P = 30P and Q=-P P Pa ( a 30 v ) 50, P Now next we have to find the outstanding loan balance after the 28 th payment which is equal to the present value of future payments. The future payments are 2P at time 29 and P at time 30. Therefore, OLB Pv Pv (184.78)(1.06) (1.06) 513. The interest in the 29 th payment is ( OLB28)( i) 513.(0.06) Then the principal in the 29 th payment is the 29 th payment less the Interest in the 29 th Payment which is 2P Interest 2(184.78)
Math 373 Fall 2014 Homework Chapter 5
Math 373 Fall 2014 Homework Chapter 5 Chapter 5 Section 2 1. (S12HW) Kwaku borrows 100,000 to be repaid with five annual payments. The annual effective interest rate on the loan is 6%. Complete an amortization
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 informationMath 373 Fall 2012 Test 2
Math 373 Fall 2012 Test 2 October 18, 2012 1. Jordan has the option to purchase either of the two bonds below. Both bonds will be purchased to provide the same yield rate. a. A 20-year zero coupon bond
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 informationMATH 373 Test 3 Fall 2017 November 16, 2017
MATH 373 Test 3 Fall 2017 November 16, 2017 1. Jackson purchases a callable bond. The bond matures at the end of 20 years for 52,000. The bond pays semi-annual coupons of 1300. The bond can be called at
More informationStat 274 Theory of Interest. Chapter 5: Loan Repayment. Brian Hartman Brigham Young University
Stat 274 Theory of Interest Chapter 5: Loan Repayment Brian Hartman Brigham Young University Amortized Loan Each time a payment is made, the interest due is paid first. Examples: You borrow 2000 at 5%
More informationErrata and Updates for the 12 th Edition of the ASM Manual for Exam FM/2 (Last updated 5/4/2018) sorted by page
Errata and Updates for the 12 th Edition of the ASM Manual for Exam FM/2 (Last updated 5/4/2018) sorted by page [2/28/18] Page 255, Question 47. The last answer should be 7.98 without the % sign. [7/30/17]
More informationMATH 373 Test 2 Fall 2018 November 1, 2018
MATH 373 Test 2 Fall 2018 November 1, 2018 1. A 20 year bond has a par value of 1000 and a maturity value of 1300. The semi-annual coupon rate for the bond is 7.5% convertible semi-annually. The bond is
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 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 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 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 informationMATH 373 Fall 2016 Test 1 September27, 2016
MATH 373 Fall 2016 Test 1 September27, 2016 1. Ellie lends Aakish 10,000 to be repaid over the next three years with level annual payments of 4000. Ellie takes each payment and reinvests it at an annual
More informationMath 373 Test 1 Spring 2015 February 17, 2015
Math 373 Test 1 Spring 2015 February 17, 2015 1. Hannah is the beneficiary of a trust that will pay her an annual payment of 10,000 with the first payment made twelve years from today. Once the payments
More informationUsing an interest rate of 7.42%, calculate the present value of Hannah s payments. PV 10, 000a v 53,
13. Hannah is the beneficiary of a trust that will pay her an annual payment of 10,000 with the first payment made fourteen years from today. Once the payments beginning they will be made forever to Hannah
More informationFin 5413: Chapter 04 - Fixed Interest Rate Mortgage Loans Page 1 Solutions to Problems - Chapter 4 Fixed Interest Rate Mortgage Loans
Fin 5413: Chapter 04 - Fixed Interest Rate Mortgage Loans Page 1 Solutions to Problems - Chapter 4 Fixed Interest Rate Mortgage Loans Problem 4-1 A borrower makes a fully amortizing CPM mortgage loan.
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 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 informationSimple Interest. Formula I = prt
Simple Interest Formula I = prt I = PRT I = interest earned (amount of money the bank pays you) P = Principal amount invested or borrowed. R = Interest Rate usually given as a percent (must changed to
More informationOur Own Problems and Solutions to Accompany Topic 11
Our Own Problems and Solutions to Accompany Topic. A home buyer wants to borrow $240,000, and to repay the loan with monthly payments over 30 years. A. Compute the unchanging monthly payments for a standard
More informationOur Own Problem & Solution Set-Up to Accompany Topic 6. Consider the five $200,000, 30-year amortization period mortgage loans described below.
Our Own Problem & Solution Set-Up to Accompany Topic 6 Notice the nature of the tradeoffs in this exercise: the borrower can buy down the interest rate, and thus make lower monthly payments, by giving
More informationSection 8.3 Compound Interest
Section 8.3 Compound Interest Objectives 1. Use the compound interest formulas. 2. Calculate present value. 3. Understand and compute effective annual yield. 4/24/2013 Section 8.3 1 Compound interest is
More informationANNUITIES AND AMORTISATION WORKSHOP
OBJECTIVE: 1. Able to calculate the present value of annuities 2. Able to calculate the future value of annuities 3. Able to complete an amortisation schedule TARGET: QMI1500 and BNU1501, any other modules
More information7.7 Technology: Amortization Tables and Spreadsheets
7.7 Technology: Amortization Tables and Spreadsheets Generally, people must borrow money when they purchase a car, house, or condominium, so they arrange a loan or mortgage. Loans and mortgages are agreements
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 informationTime Value of Money. Part III. Outline of the Lecture. September Growing Annuities. The Effect of Compounding. Loan Type and Loan Amortization
Time Value of Money Part III September 2003 Outline of the Lecture Growing Annuities The Effect of Compounding Loan Type and Loan Amortization 2 Growing Annuities The present value of an annuity in which
More informationChapter 5. Time Value of Money
Chapter 5 Time Value of Money Using Timelines to Visualize Cashflows A timeline identifies the timing and amount of a stream of payments both cash received and cash spent - along with the interest rate
More informationChapter 5. Learning Objectives. Principals Applied in this Chapter. Time Value of Money. Principle 1: Money Has a Time Value.
Chapter 5 Time Value of Money Learning Objectives 1. Construct cash flow timelines to organize your analysis of problems involving the time value of money. 2. Understand compounding and calculate the future
More informationChapter 3, Section For a given interest rate, = and = Calculate n. 10. If d = 0.05, calculate.
Chapter 3, Section 2 1. Calculate the present value of an annuity that pays 100 at the end of each year for 20 years. The annual effective interest rate is 4%. 2. Calculate the present value of an annuity
More informationLecture 3. Chapter 4: Allocating Resources Over Time
Lecture 3 Chapter 4: Allocating Resources Over Time 1 Introduction: Time Value of Money (TVM) $20 today is worth more than the expectation of $20 tomorrow because: a bank would pay interest on the $20
More informationIntroduction to Corporate Finance, Fourth Edition. Chapter 5: Time Value of Money
Multiple Choice Questions 11. Section: 5.4 Annuities and Perpetuities B. Chapter 5: Time Value of Money 1 1 n (1 + k) 1 (1.15) PMT $,,(6.5933) $1, 519 k.15 N, I/Y15, PMT,, FV, CPT 1,519 14. Section: 5.7
More informationChapter 15B and 15C - Annuities formula
Chapter 15B and 15C - Annuities formula Finding the amount owing at any time during the term of the loan. A = PR n Q Rn 1 or TVM function on the Graphics Calculator Finding the repayment amount, Q Q =
More information3. Time value of money. We will review some tools for discounting cash flows.
1 3. Time value of money We will review some tools for discounting cash flows. Simple interest 2 With simple interest, the amount earned each period is always the same: i = rp o where i = interest earned
More informationFurther Mathematics 2016 Core: RECURSION AND FINANCIAL MODELLING Chapter 7 Loans, investments and asset values
Further Mathematics 2016 Core: RECURSION AND FINANCIAL MODELLING Chapter 7 Loans, investments and asset values Key knowledge (Chapter 7) Amortisation of a reducing balance loan or annuity and amortisation
More informationeee Quantitative Methods I
eee Quantitative Methods I THE TIME VALUE OF MONEY Level I 2 Learning Objectives Understand the importance of the time value of money Understand the difference between simple interest and compound interest
More informationConsumer and Mortgage Loans. Assignments
Financial Plan Assignments Assignments Think through the purpose of any consumer loans you have. Are they necessary? Could you have gotten by without them? If you have consumer loans outstanding, write
More informationManual for SOA Exam FM/CAS Exam 2.
Manual for SOA Exam FM/CAS Exam 2. Chapter 1. Basic Interest Theory. c 2009. Miguel A. Arcones. All rights reserved. Extract from: Arcones Manual for the SOA Exam FM/CAS Exam 2, Financial Mathematics.
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 information3. Time value of money
1 Simple interest 2 3. Time value of money With simple interest, the amount earned each period is always the same: i = rp o We will review some tools for discounting cash flows. where i = interest earned
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 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 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 informationMATH 373 Test 3 Fall 2017 November 16, 2017
MATH 373 Test 3 Fall 2017 November 16, 2017 1. Jackson purchases a callable bond. The bond matures at the end of 20 years for 52,000. The bond pays semi-annual coupons of 1300. The bond can be called at
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 informationIn calculator: PV 4000 I/Y= N=12 PMT=348.13
MATH 373 Test 1 Sprng 016 February 16, 016 1. Courtney borrows 4000 to buy new sk equpment. She wll repay the loan wth level monthly payments over the next months. The loan has an annual effectve nterest
More informationMultiple Compounding Periods in a Year. Principles of Engineering Economic Analysis, 5th edition
Multiple Compounding Periods in a Year Example 2.36 Rebecca Carlson purchased a car for $25,000 by borrowing the money at 8% per year compounded monthly. She paid off the loan with 60 equal monthly payments,
More informationMBF1223 Financial Management Prepared by Dr Khairul Anuar
MBF1223 Financial Management Prepared by Dr Khairul Anuar L4 Time Value of Money www.mba638.wordpress.com 2 Learning Objectives 1. Calculate future values and understand compounding. 2. Calculate present
More informationMBF1223 Financial Management Prepared by Dr Khairul Anuar
MBF1223 Financial Management Prepared by Dr Khairul Anuar L3 Time Value of Money www.mba638.wordpress.com 2 4 Learning Objectives 1. Calculate future values and understand compounding. 2. Calculate present
More information1. Draw a timeline to determine the number of periods for which each cash flow will earn the rate-of-return 2. Calculate the future value of each
1. Draw a timeline to determine the number of periods for which each cash flow will earn the rate-of-return 2. Calculate the future value of each cash flow using Equation 5.1 3. Add the future values A
More informationA nd Edition, (Updated: July 25, 2011)
A-201 2 nd Edition, 2008 (Updated: July 25, 2011) A201 - T1-2 28 Taxation Concepts pertaining to Insurance of Persons The actual amount of assessable dividends 6 is grossed-up by 45% to arrive at a taxable
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 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 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 informationPart 2. Finite Mathematics. Chapter 3 Mathematics of Finance Chapter 4 System of Linear Equations; Matrices
Part 2 Finite Mathematics Chapter 3 Mathematics of Finance Chapter 4 System of Linear Equations; Matrices Chapter 3 Mathematics of Finance Section 1 Simple Interest Section 2 Compound and Continuous Compound
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 informationMULTIPLE-CHOICE QUESTIONS Circle the correct answer on this test paper and record it on the computer answer sheet.
M I M E 3 1 0 E N G I N E E R I N G E C O N O M Y Class Test #2 Thursday, 23 March, 2006 90 minutes PRINT your family name / initial and record your student ID number in the spaces provided below. FAMILY
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 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 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 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 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 informationhp calculators HP 20b Loan Amortizations The time value of money application Amortization Amortization on the HP 20b Practice amortizing loans
The time value of money application Amortization Amortization on the HP 20b Practice amortizing loans The time value of money application The time value of money application built into the HP 20b is used
More informationCHAPTER 4. The Time Value of Money. Chapter Synopsis
CHAPTER 4 The Time Value of Money Chapter Synopsis Many financial problems require the valuation of cash flows occurring at different times. However, money received in the future is worth less than money
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 2. Time Value of Money (TVOM) Principles of Engineering Economic Analysis, 5th edition
Chapter 2 Time Value of Money (TVOM) Cash Flow Diagrams $5,000 $5,000 $5,000 ( + ) 0 1 2 3 4 5 ( - ) Time $2,000 $3,000 $4,000 Example 2.1: Cash Flow Profiles for Two Investment Alternatives (EOY) CF(A)
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 informationCourse FM 4 May 2005
1. Which of the following expressions does NOT represent a definition for a? n (A) (B) (C) (D) (E) v n 1 v i n 1i 1 i n vv v 2 n n 1 v v 1 v s n n 1 i 1 Course FM 4 May 2005 2. Lori borrows 10,000 for
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 informationSolutions to EA-1 Examination Spring, 2001
Solutions to EA-1 Examination Spring, 2001 Question 1 1 d (m) /m = (1 d (2m) /2m) 2 Substituting the given values of d (m) and d (2m), 1 - = (1 - ) 2 1 - = 1 - + (multiplying the equation by m 2 ) m 2
More informationThe Regular Payment of an Annuity with technology
UNIT 7 Annuities Date Lesson Text TOPIC Homework Dec. 7 7.1 7.1 The Amount of an Annuity with technology Pg. 415 # 1 3, 5 7, 12 **check answers withti-83 Dec. 9 7.2 7.2 The Present Value of an Annuity
More informationPREMIUM VERSION PREVIEW
FINANCIAL MATHS PREMIUM VERSION PREVIEW WWW.MATHSPOINTS.IE/SIGN-UP/ 205 LCHL Paper Question 6 (a) (i) Donagh is arranging a loan and is examining two different repayment options. Bank A will charge him
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 informationName Date Class. 2. p = $600, r = 4%, t = 3 years. 4. I = $270, r = 5%, t = 3 years. 6. I = $108, p = $900, t = 3 years
Practice A Find each missing value. The first one is done for you. 1. p = $1,000, r = 5%, t = 2 years I = $1,000 0.05 2 I = $100 3. I = $330, r = 3%, t = 1 year = p p = 5. I = $600, p = $2,500, t = 4 years
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 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 informationFixed vs. Floating Rate Mortgages
MIT Sloan School of Management J. Wang Finance Theory 15.415 E52-435 Spring 1999 Solution to Assignment 2: Valuation of Fixed-Income Securities 1. Bond underwriting If the underwriter purchases the bonds
More informationCourse FM/2 Practice Exam 2 Solutions
Course FM/ Practice Exam Solutions Solution 1 E Nominal discount rate The equation of value is: 410 45 (4) (4) d d 5,000 1 30,000 1 146,84.60 4 4 We let 0 (4) d x 1 4, and we can determine x using the
More informationName: Date: Period: MATH MODELS (DEC 2017) 1 st Semester Exam Review
Name: Date: Period: MATH MODELS (DEC 2017) 1 st Semester Exam Review Unit 1 Vocabulary: Match the following definitions to the words below. 1) Money charged on transactions that goes to fund state and
More informationName Date. Which option is most beneficial for the bank, and which is most beneficial for Leandro? A B C N = N = N = I% = I% = I% = PV = PV = PV =
F Math 12 2.0 Getting Started p. 78 Name Date Doris works as a personal loan manager at a bank. It is her job to decide whether the bank should lend money to a customer. When she approves a loan, she thinks
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 informationPrincipal Rate Time 100
Commercial mathematics 1 Compound Interest 2 Introduction In the previous classes, you have learnt about simple interest and other related terms. You have also solved many problems on simple interest.
More informationChapter 2. Time Value of Money (TVOM) Principles of Engineering Economic Analysis, 5th edition
Chapter 2 Time Value of Money (TVOM) Cash Flow Diagrams (EOY) Example 2.1 Cash Flow Profiles for Two Investment Alternatives End of Year (EOY) CF(A) CF(B) CF(B-A) 0 -$100,000 -$100,000 $0 1 $10,000 $50,000
More informationIntroduction to the Hewlett-Packard (HP) 10B Calculator and Review of Mortgage Finance Calculations
Introduction to the Hewlett-Packard (HP) 0B Calculator and Review of Mortgage Finance Calculations Real Estate Division Faculty of Commerce and Business Administration University of British Columbia Introduction
More informationTime Value of Money Menu
Time Value of Money Menu The Time-Value-of-Money (TVM) menu calculates Compound Interest problems involving money earning interest over a period of time. To show it, touch the OPT key and in the section
More informationThe three formulas we use most commonly involving compounding interest n times a year are
Section 6.6 and 6.7 with finance review questions are included in this document for your convenience for studying for quizzes and exams for Finance Calculations for Math 11. Section 6.6 focuses on identifying
More informationMATH 373 Test 1 Spring 2018 February 27, 2018
MATH 373 Test 1 Spring 2018 February 27, 2018 1. Emily is saving for her retirement. She invests 100 at the beginning of each month for 40 years into an account earning an annual effective interest rate
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 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 informationMeasuring Interest Rates
Measuring Interest Rates Economics 301: Money and Banking 1 1.1 Goals Goals and Learning Outcomes Goals: Learn to compute present values, rates of return, rates of return. Learning Outcomes: LO3: Predict
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 informationMULTIPLE-CHOICE QUESTIONS Circle the correct answers on this test paper and record them on the computer answer sheet.
#18: /10 #19: /15 Total: /25 VERSION 1 M I M E 3 1 0 E N G I N E E R I N G E C O N O M Y Class Test #1 Wednesday, 13 February, 2008 90 minutes PRINT your family name / initial and record your student ID
More informationTexas Credit Opening/Closing Date: 7/19/08 08/18/08
Anatomy of a Credit Card Statement The following is a monthly statement from a typical credit card company. Parts left out intentionally are denoted by??? and highlighted in gray. Texas Credit Opening/Closing
More informationFoundations of Finance
GLOBAL EDITION Keown Martin Petty Foundations of Finance NINTH EDITION Arthur J. Keown John D. Martin J. William Petty Foundations of Finance The Logic and Practice of Financial Management Ninth Edition
More informationTVM Menu: Time Value of Money Calculations
TVM Menu: Time Value of Money Calculations TMV primary menu TMV secondary menu TMV Amortization menu The RLM-19BII TVM menu calculates Compound Interest problems involving money earning interest over a
More informationChapter 02 Test Bank - Static KEY
Chapter 02 Test Bank - Static KEY 1. The present value of $100 expected two years from today at a discount rate of 6 percent is A. $112.36. B. $106.00. C. $100.00. D. $89.00. 2. Present value is defined
More informationACCT 434: Advanced Financial Accounting Module 01 Activities
ACCT 434: Advanced Financial Accounting Module 01 Activities Question 1 Part 1: On January 1, 2014, Phantom Corp. acquires $300,000 of Spider Inc. 9% bonds. The interest is payable each June 30 and December
More informationHOME EQUITY CONVERSION MORTGAGE Using an HP12C to Calculate Payments to Borrowers
4235.1 REV-1 HOME EQUITY CONVERSION MORTGAGE Using an HP12C to Calculate Payments to Borrowers This appendix illustrates use of an HP12C for calculating payments to borrowers under the Home Equity Conversion
More informationWhen changing any conditions of an investment or loan, the amount or principal will also change.
KEY CONCEPTS When changing any conditions of an investment or loan, the amount or principal will also change. Doubling an interest rate or term more than doubles the total interest This is due to the effects
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 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 information