Monthly payments of $75 are paid into an annuity beginning on January 31 with a yearly interest rate of 9% compounded monthly. What is the total value.

Slides:



Advertisements
Similar presentations
Your Money and and Your Math Chapter Credit Cards and Consumer Credit
Advertisements

4/29/2015Section 8.31 Section 8.3 Compound Interest Objectives 1.Use the compound interest formulas. 2.Calculate present value. 3.Understand and compute.
Simple and Compound Interest
Chapter 9 sec 2.  How many of you have a savings account?  How many of you have loans?  What do these 2 questions have in common?
What is Interest? Interest is the amount earned on an investment or an account. Annually: A = P(1 + r) t P = principal amount (the initial amount you borrow.
Lesson 3-3 Example Step 1Write the compound interest formula. Find the value of an investment of $2,000 for 4 years at 7% interest compounded semiannually.
Section 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 8.4, Slide 1 Consumer Mathematics The Mathematics of Everyday Life 8.
MATH 102 Contemporary Math S. Rook
Find the amount of an annuity that consists of 24 monthly payments of $700 each into an account that pays 8% interest per year, compounded monthly. NOTE:
Example 2 Future Value of an Annuity Chapter 5.6 Harry deposits $200 at the end of each month into an account that pays interest 12% per year, compounded.
Section 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 8.4, Slide 1 Consumer Mathematics The Mathematics of Everyday Life 8.
Chapter 5 Mathematics of Finance
Find the simple interest if the principal is $500, the interest rate is 11% and the time is 2 years. MATH 110 Sec 8-2: Interest Practice Exercises.
Chap 8. The Time Value of Money Compound interest Future value and Present value Annuities Multiple Cash Flows NPV and internal rate of return.
3-8 PRESENT VALUE OF INVESTMENTS
Present Value of an Annuity; Amortization (3.4) In this section, we will address the problem of determining the amount that should be deposited into an.
By: Angel Acevedo.  Diana earned $550 in cash gifts at her quinceanera. She decides to deposit the money in a savings account and leave it there for.
Regular Deposits And Finding Time. An n u i t y A series of payments or investments made at regular intervals. A simple annuity is an annuity in which.
Compound Interest Section 5. Objectives Determine the future value of a lump sum of money Calculate effective rates of return Determine the present value.
Mathematics of Finance
EXAMPLE 5 Find the balance in an account You deposit $4000 in an account that pays 2.92% annual interest. Find the balance after 1 year if the interest.
Mr. Prashant borrowed an amount of Rs. 7, 80,000 from M/s. Krishna Finance Ltd. As per the loan agreement, he has to repay Rs.3 lakhs at the end of 7 th.
Mathematics of Finance. We can use our knowledge of exponential functions and logarithms to see how interest works. When customers put money into a savings.
Basic Math Skills Lesson 10: Sales Tax p
Find the monthly payment R necessary to pay off a loan of $90,000 at 5% compounded monthly for 30 years. (Round final answer up to the nearest cent.) MATH.
Pre-AP Pre- Calculus Chapter 3, Section 6 Mathematics of Finance
Interest MATH 102 Contemporary Math S. Rook. Overview Section 9.2 in the textbook: – Simple interest – Compound interest.
Simple and Compound Interest
Thinking Mathematically
Warm Up 2/5 or 2/6 Simplify:. Answers Compound Interest Compounding interest is where money earned is added to the principal and then recalculated to.
6-7 Change each percent to a decimal. 1.4% 2.9%3.2.0% 4.6.5% % % COURSE 2 LESSON 9-7 (For help, go to Lessons 6-2.) Simple and Compound Interest.
7.2 Compound Interest and Exponential Growth ©2001 by R. Villar All Rights Reserved.
Mathematics of Finance. We can use our knowledge of exponential functions and logarithms to see how interest works. When customers put money into a savings.
Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 1 Chapter 11 Annuities, Stocks, and Bonds Section 1 Annuities and Retirement Accounts.
7.4a Notes – Evaluate Logarithms. 1. Solve for x. a. x = 2 b. c.d. x = 1 x = 0 x = -2.
Quantitative Finance Unit 1 Financial Mathematics.
Future Value of an Ordinary Simple Annuity Annuity - Series of equal payments or deposits earning compound interest and made at regular intervals over.
Present Worth of Annuities make equal payments The present value of an annuity that pays out n regular payments of $R at the end of each time period from.
People shouldn’t solely rely on their financial institutions to financially plan and manage their mortgage. Homeowners need to become educated consumers.
7-7 Simple and Compound Interest. Definitions Left side Principal Interest Interest rate Simple interest Right side When you first deposit money Money.
8 – 5 Properties of Logarithms Day 2
Copyright © Cengage Learning. All rights reserved. Sequences and Series.
Compound Interest Formula
Objectives: Determine the Future Value of a Lump Sum of Money Determine the Present Value of a Lump Sum of Money Determine the Time required to Double.
8.8 Exponential Growth and Decay Exponential Growth –Modeled with the function: y = a b x for a > 0 and b > 1. y = a b x a = the starting amount (when.
PRE-ALGEBRA. Lesson 7-7 Warm-Up PRE-ALGEBRA Simple and Compound Interest (7-7) principal: the amount of money that is invested (put in to earn more)
Simple Interest. Simple Interest – * the amount of money you must pay back for borrowing money from a bank or on a credit card or * the amount of money.
Introduction to Accounting I Professor Marc Smith CHAPTER 1 MODULE 1 Time Value of Money Module 3.
Simple and Compound Interest Video: Simple/ Compound InterestSimple/ Compound Interest Video: A Penny a DayA Penny a Day.
You deposit $950 into an account that earns 4 % interest compounded annually. Find the balance in the account after five years. In your last calculation,
Pre-Algebra Simple and Compound Interest Suppose you deposit $1,000 in a savings account that earns 6% in interest per year. Lesson 7-8 a. Find the interest.
Today in Precalculus Go over homework Need a calculator Notes: Annuities (Future Value) Homework.
Find the amount after 7 years if $100 is invested at an interest rate of 13% per year if it is a. compounded annually b. compounded quarterly.
Compound Interest Money, where fashion begins…. Vocabularies and Symbols A = Accumulated Amount (ending balance, in $) A = Accumulated Amount (ending.
Section 6.7 Financial Models. OBJECTIVE 1 A credit union pays interest of 4% per annum compounded quarterly on a certain savings plan. If $2000 is.
Section 4.7: Compound Interest. Continuous Compounding Formula P = Principal invested (original amount) A = Amount after t years t = # of years r = Interest.
Compound Interest Making Money!!!. Compound Interest Solving by Hand A=P(1+r/n) nt P - Initial principal r – annual rate expressed as a decimal n – compounded.
Simple and Compound Interest Simple Interest I = Prt Compound Interest A = P(1 + r)
Aim: Money Matters-Annuities & Sinking Funds Course: Math Literacy Aim: How does money matter? Annuities – a savings plan. Do Now: You are 21 years old.
TVM Review. What would your future value be if you invested $8,000 at 3% interest compounded quarterly for 15 years?
Consider a principal P invested at rate r compounded annually for n years: Compound Interest After the first year: so that the total is now 1.
Instructors: Lobna M Farid Copy rights for Gary C. Guthnie Larry D. Leman, Mathematics of Interest Rates and Finance.
Annuities; Loan Repayment  Find the 5-year future value of an ordinary annuity with a contribution of $500 per quarter into an account that pays 8%
Lesson 2 – Annuities Learning Goal I can solve for the future value of an annuity.
Interest Applications - To solve problems involving interest.
Exercise Write 5% as a decimal Write 6.5% as a decimal Exercise.
Annuities, methods of savings, investment
Example 4 Annuities Show that if regular payments of $1000 are made at the end of each year for 5 years into an account that pays interest at 10% per year.
Simple and Compound Interest
Presentation transcript:

Monthly payments of $75 are paid into an annuity beginning on January 31 with a yearly interest rate of 9% compounded monthly. What is the total value of the annuity on September 1 (round to nearest cent). MATH 110 Sec 8-4: Annuities Practice Exercises

Monthly payments of $75 are paid into an annuity beginning on January 31 with a yearly interest rate of 9% compounded monthly. What is the total value of the annuity on September 1 (round to nearest cent). MATH 110 Sec 8-4: Annuities Practice Exercises First note that payments on an ordinary annuity are made at the end of each month so, by Sep 1, there are a total of 8 monthly payments.

Monthly payments of $75 are paid into an annuity beginning on January 31 with a yearly interest rate of 9% compounded monthly. What is the total value of the annuity on September 1 (round to nearest cent). MATH 110 Sec 8-4: Annuities Practice Exercises First note that payments on an ordinary annuity are made at the end of each month so, by Sep 1, there are a total of 8 monthly payments.

Monthly payments of $75 are paid into an annuity beginning on January 31 with a yearly interest rate of 9% compounded monthly. What is the total value of the annuity on September 1 (round to nearest cent). MATH 110 Sec 8-4: Annuities Practice Exercises

Find the value of the ordinary annuity at the end of the indicated time period (to nearest cent). The frequency of deposits is the same as the frequency of compounding. Amount: $1000, 5.5% quarterly, 8 yrs MATH 110 Sec 8-4: Annuities Practice Exercises

Find the value of the ordinary annuity at the end of the indicated time period (to nearest cent). The frequency of deposits is the same as the frequency of compounding. Amount: $1000, 5.5% quarterly, 8 yrs MATH 110 Sec 8-4: Annuities Practice Exercises

Kal wants to save $15,000 in 6 years with monthly payments to an ordinary annuity for a down payment on a condo at the beach. If the annuity pays 0.6% monthly interest, what will his monthly payment be? (Round answer UP to the nearest cent.) MATH 110 Sec 8-4: Annuities Practice Exercises

Kal wants to save $15,000 in 6 years with monthly payments to an ordinary annuity for a down payment on a condo at the beach. If the annuity pays 0.6% monthly interest, what will his monthly payment be? (Round answer UP to the nearest cent.) MATH 110 Sec 8-4: Annuities Practice Exercises

Kal wants to save $15,000 in 6 years with monthly payments to an ordinary annuity for a down payment on a condo at the beach. If the annuity pays 0.6% monthly interest, what will his monthly payment be? (Round answer UP to the nearest cent.) MATH 110 Sec 8-4: Annuities Practice Exercises BE CAREFUL! We are accustomed to being given r (the ANNUAL interest rate). But here we are given i (the MONTHLY interest rate) instead.

Kal wants to save $15,000 in 6 years with monthly payments to an ordinary annuity for a down payment on a condo at the beach. If the annuity pays 0.6% monthly interest, what will his monthly payment be? (Round answer UP to the nearest cent.) MATH 110 Sec 8-4: Annuities Practice Exercises BE CAREFUL! We are accustomed to being given r (the ANNUAL interest rate). But here we are given i (the MONTHLY interest rate) instead.

Kal wants to save $15,000 in 6 years with monthly payments to an ordinary annuity for a down payment on a condo at the beach. If the annuity pays 0.6% monthly interest, what will his monthly payment be? (Round answer UP to the nearest cent.) MATH 110 Sec 8-4: Annuities Practice Exercises

At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). Max begins at age 41 saving $2400 per year in the same type of account until age 65 (25 payments). How much does each have in his account at age 65? (Round answers to the nearest cent.) MATH 110 Sec 8-4: Annuities Practice Exercises

The case of Max is simpler so let’s do it first. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). Max begins at age 41 saving $2400 per year in the same type of account until age 65 (25 payments). How much does each have in his account at age 65? (Round answers to the nearest cent.)

MATH 110 Sec 8-4: Annuities Practice Exercises The case of Max is simpler so let’s do it first. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). Max begins at age 41 saving $2400 per year in the same type of account until age 65 (25 payments). How much does each have in his account at age 65? (Round answers to the nearest cent.)

MATH 110 Sec 8-4: Annuities Practice Exercises At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). Max begins at age 41 saving $2400 per year in the same type of account until age 65 (25 payments). How much does each have in his account at age 65? (Round answers to the nearest cent.)

MATH 110 Sec 8-4: Annuities Practice Exercises Now let’s look at Julio’s case. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). Max begins at age 41 saving $2400 per year in the same type of account until age 65 (25 payments). How much does each have in his account at age 65? (Round answers to the nearest cent.)

MATH 110 Sec 8-4: Annuities Practice Exercises Now let’s look at Julio’s case. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). (Round to the nearest cent.)

MATH 110 Sec 8-4: Annuities Practice Exercises Now let’s look at Julio’s case. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). (Round to the nearest cent.)

MATH 110 Sec 8-4: Annuities Practice Exercises So, after 15 years, Julio has A = $31, in his account. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). (Round to the nearest cent.)

MATH 110 Sec 8-4: Annuities Practice Exercises So, after 15 years, Julio has A = $31, in his account. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). (Round to the nearest cent.) But now, Julio just lets that money sit in the account for 30 more years with no more periodic payments.

MATH 110 Sec 8-4: Annuities Practice Exercises So, after 15 years, Julio has A = $31, in his account. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). (Round to the nearest cent.) But now, Julio just lets that money sit in the account for 30 more years with no more periodic payments. This means for the last 30 years, this account is just an ordinary compound interest account.

MATH 110 Sec 8-4: Annuities Practice Exercises So, after 15 years, Julio has A = $31, in his account. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). (Round to the nearest cent.) But now, Julio just lets that money sit in the account for 30 more years with no more periodic payments. This means for the last 30 years, this account is just an ordinary compound interest account.

MATH 110 Sec 8-4: Annuities Practice Exercises So, after 15 years, Julio has A = $31, in his account. At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). (Round to the nearest cent.) This means for the last 30 years, this account is just an ordinary compound interest account.

MATH 110 Sec 8-4: Annuities Practice Exercises At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs (Round to the nearest cent.)

MATH 110 Sec 8-4: Annuities Practice Exercises At age 21 Julio begins saving $1200 each year until age 35 (15 payments) in an ordinary annuity paying 7.5% annual interest compounded yearly and then leaves his money in the account until age 65 (30 yrs). Max begins at age 41 saving $2400 per year in the same type of account until age 65 (25 payments). How much does each have in his account at age 65? (Round answers to the nearest cent.)