What is Compound Interest? Compound interest is interest that is compounded at certain intervals or earned continuously (all the time). Annually: A = P(1.

Slides:



Advertisements
Similar presentations
Simple and Compound Interest
Advertisements

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?
3.5 Compound Interest Formula
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.
EXAMPLE 5 Model continuously compounded interest A = Pe rt SOLUTION Finance You deposit $4000 in an account that pays 6% annual interest compounded continuously.
3.3 Future value of an Annuity;Sinking Funds An annuity is any sequence of equal periodic payments. An ordinary annuity is one in which payments are made.
Mathematics of finance
Compound Interest Essential Skill: Demonstrate Understanding of Concept.
Chapter 3 Mathematics of Finance Section 3 Future Value of an Annuity; Sinking Funds.
Financial Algebra © Cengage Learning/South-Western 9/30/20149/30/2014 Warm-Up Sam deposits $4,000 into a CD that is continuously compounded. The CD pays.
Section 5.7 Compound Interest. A credit union pays interest of 4% per annum compounded quarterly on a certain savings plan. If $2000 is deposited.
7-8 simple and compound interest
Compound Interest Section 5. Objectives Determine the future value of a lump sum of money Calculate effective rates of return Determine the present value.
SIMPLE INTEREST Interest is the amount paid for the use of money.
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.
8.2 Day 2 Compound Interest if compounding occurs in different intervals. A = P ( 1 + r/n) nt Examples of Intervals: Annually, Bi-Annually, Quarterly,
Chapter 8 Review. Rewrite into logarithm form: 1. 2.
 What large purchases or expenditures do you foresee in your future?  How are you preparing to make these purchases a reality?
Notes Over 7 – 8 1. Suppose you deposit $1000 in a savings account that earns 6% per year. Find the interest earned in two years. Simple Interest Formula.
Financial Algebra © Cengage Learning/South-Western Warm-UpWarm-Up Grab a paper from the back Susan wants to invest her $1,500 into a savings account that.
 Rewriting literal equations  Rewrite and use common formulas.
Simple & Compound Interest
3-5 COMPOUND INTEREST FORMULA
7.4a Notes – Evaluate Logarithms. 1. Solve for x. a. x = 2 b. c.d. x = 1 x = 0 x = -2.
Notes Over 7 – 7 Solve for the indicated variable.
Warm - Up A = d(1+r a )[(1+r a ) nt – 1] r a If you deposit $50 every quarter in an account that pays 5% interest compounded quarterly what will your balance.
– The Number e and the Function e x Objectives: You should be able to… 1. Use compound interest formulas to solve real-life problems.
Numbers Compound Interest Compound interest includes the new percentage each time the increase is worked out.
7-7 Simple and Compound Interest. Definitions Left side Principal Interest Interest rate Simple interest Right side When you first deposit money Money.
Certificates of Deposit pp SECTION.
8 – 5 Properties of Logarithms Day 2
3.1 (part 2) Compound Interest & e Functions I.. Compound Interest: A = P ( 1 + r / n ) nt A = Account balance after time has passed. P = Principal: $
Compounding Interest Formula It’s like Math, but not really.
Compound Interest Formula
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.
Simple Interest Formula I = PRT. I = interest earned (amount of money the bank pays you) P = Principle amount invested or borrowed. R = Interest Rate.
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,
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.
Compound Interest Formula. Compound interest arises when interest is added to the principal, so that, from that moment on, the interest that has been.
Financial Algebra © 2011 Cengage Learning. All Rights Reserved. Slide COMPOUND INTEREST FORMULA Become familiar with the derivation of the compound.
Section 5.7 Financial Models. A credit union pays interest of 4% per annum compounded quarterly on a certain savings plan. If $2000 is deposited.
1.Simplify: 2. Simplify: 3.Simplify: 4.Simplify: 5. Solve for x: Warmup
Simple and Compound Interest Simple Interest I = Prt Compound Interest A = P(1 + r)
Warm - Up A = d(1+r a )[(1+r a ) nt – 1] r a If you deposit $50 every quarter in an account that pays 5% interest compounded quarterly what will your balance.
Unit 8, Lesson 2 Exponential Functions: Compound Interest.
7.7 Simple and Compound Interest. Interest You EARN interest when you put $ into a savings account. You PAY interest when you borrow money...bank, loan,
INTEREST. Simple Interest Compound Interest SIMPLE INTEREST VS. COMPOUND INTEREST Interest earned on the principal investment Earning interest on interest.
LEQ: How do you calculate compound interest?.  Suppose you deposit $2,000 in a bank that pays interest at an annual rate of 4%. If no money is added.
Compound Interest I.. Compound Interest: A = P ( 1 + r / n ) nt A = Account balance after time has passed. P = Principal: $ you put in the bank. r = interest.
Interest Applications - To solve problems involving interest.
Calculating interest You can calculate the time value of your savings by figuring out how much interest you will earn. Principal – the original amount.
3-5 COMPOUND INTEREST FORMULA
Simple and Compound Interest
EXAMPLE 5 Find the balance in an account
CHAPTER 8 Personal Finance.
8.3 Compound Interest HW: (1-21 Odds, Odds)
Chapter 3 Mathematics of Finance
Compound Interest I.. Compound Interest: A = P ( 1 + r/n)nt
3.5 Exponential Growth & Decay
SECTION 5-5 Compound Interest pp
Simple and Compound Interest
Day 86 – Introduce the power of interest
CHAPTER 8 Personal Finance.
HOW TO MAKE MONEY WITHOUT DOING ANY WORK
Bell Ringer Suppose Shawn deposited $2,500 in a savings account which earns 3.5% interest and is compounded monthly. Find the amount he has after six.
Compounded and Continuous Interest
Starter Complete questions 1-5 on the first page of your notes.
§8.3, Compound Interest.
Presentation transcript:

What is Compound Interest? Compound interest is interest that is compounded at certain intervals or earned continuously (all the time). Annually: A = P(1 + r) t Compounded n times… : A = P(1 + r / n ) nt Continuously: A = Pe rt Rewrite the formula to solve for a variable

Wells Fargo has a CD that receives 6% interest and it is compounded monthly. How much will it be worth in 5 years if you deposit $800 in the account?

After 2 years, a savings account has a balance of $ and the interest rate was compounded monthly at 3.2%. What was the original amount deposited 2 years ago?

Suntrust Bank offers 7.5% interest on accounts with large deposits and the interest is compounded continuously. What is the amount earned on a deposit of $10,000 in 6 years.