Rule of 72 Mr. Roeshink – Business Operations. The Rules Explained Choice of rule The value 72 is a convenient choice of numerator, since it has many.

Slides:



Advertisements
Similar presentations
Sullivan PreCalculus Section 4.7 Compound Interest
Advertisements

Saving and Interest February Saving and Interest An Equation to define Savings: – SAVING = Disposable Income – Consumption. Interest: – Simple Interest.
Applying Financial Formulas Copyright 2014 Scott Storla.
Microeconomics and Macroeconomics FCS 3450 Spring 2015 Unit 3.
CONTINUOUSLY COMPOUNDED INTEREST FORMULA amount at the end Principal (amount at start) annual interest rate (as a decimal) time (in years)
16.2 Saving and Investing How can you save money by investing small amounts of money regularly?
Contemporary Engineering Economics, 4 th edition, ©2007 Interest Formulas for Single Cash Flows Lecture No.6 Chapter 3 Contemporary Engineering Economics.
VALUATION OF FUTURE CASH FLOWS FUTURE VALUE WHAT WILL $$ GROW TO?? PRESENT VALUE WHAT ARE FUTURE $$ WORTH TODAY?? WOULD YOU RATHER HAVE $10,000 TODAY OR.
Fundamentals of Corporate Finance, 2/e ROBERT PARRINO, PH.D. DAVID S. KIDWELL, PH.D. THOMAS W. BATES, PH.D.
Topic 9 Time Value of Money.
7.7 Day 1 Notes Base e and Natural Logarithms
The Nature of Exponential Growth Writing growth and decay problems with base e.
7-6 & 7-7 Exponential Functions
Investing for Retirement Planning your retirement early is your ticket to maintaining your life style after 60. Time value of money – Don’t count on social.
Exponential and Logarithmic Functions
Pre-Calc Lesson 5-7 Exponential Equations; Changing Bases An Exponential Equation is an equation that contains a variable in the exponent. Some exponential.
SESSION 19: SAVING AND INVESTING Talking Points Saving 1. Saving is allocating part of one’s current income toward the purchase of goods and services in.
MBF3C Lesson #2: Simple & Compound Interest
Financial Curiosities M 110 Modeling with Elementary Functions V.J. Motto.
Goldstein/Schneider/Lay/Asmar, CALCULUS AND ITS APPLICATIONS, 11e – Slide 1 of 78 § 0.5 Exponents and Power Functions.
ACTIVITY 36 Exponential Functions (Section 5.1, pp )
Bellwork If you have 120 m of fencing to make three side-by-side enclosures, what is the maximum area that you can enclose? 450 sq m.
Formula? Unit?.  Formula ?  Unit?  Formula?  Unit?
Warm UpApril Graph y = 4 x. State the y-intercept. Then use the graph to determine the approximate value of Determine whether the data in.
One member of each team will face off and answer a question on their own ($100). The team that wins the face off will have the first chance to answer the.
Interest Formulas for Single Cash Flows
Section 6 Chapter Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Exponential and Logarithmic Equations; Further Applications.
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.
Simple Interest Formula I = PRT. I = interest earned (amount of money the bank pays you) P = Principle amount invested or borrowed. R = Interest Rate.
Savings. Pay yourself first Next, pay your expenses leftover money is called discretionary income.
Growth and Decay: Integral Exponents
Math – Solving Problems Involving Interest 1.
Wednesday, March 4 Use the Rule of 72 to find the length of time to double investments. Graph Reciprocal Functions on a coordinate system.
What would you do? Chapter Six -- Savings. What is the "Fiscal cliff"?
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.
Time for a Warm-Up! Get out a sheet of paper for a short opener. You will have 2-3 minutes for each problem!
3.10 & 3.11 Exponential Growth Obj: apply compound and continuously compounding interest formulas.
5.2 Compound Interest.
Simple and Compound Interest Simple Interest I = Prt Compound Interest A = P(1 + r)
An investment of $2000 earns 5.75% interest, which is compounded quarterly. After approximately how many years will the investment be worth $3000?
Homework Quiz. Rule of 72 Interest Rate 8% 12% 6% 2%.03% Years for money to double 9 years years.
CALCULATE THE GROWTH RATE: Birth Rate = 10 Individuals Immigration = 20 Individuals Death Rate = 15 Individuals Emigration = 5 Individuals Growth Rate.
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,
The Natural Base e An irrational number, symbolized by the letter e, appears as the base in many applied exponential functions. This irrational number.
Future Value of Investments
FINANCIAL SOCCER Module 1 SAVING Collect a quiz and worksheet from your teacher.
PreCalculus 3-4 Solving Exponential and Logarithm Equations.
Examples Sequences State the "rule" and then write the next three values in the sequence. The "rule" can be in simple language (add 5 each time, double.
Warm Up Solve 9 2x = – Base e and Natural Logarithms.
Do Now #5 You decide to start a savings. You start with 100 dollars and every month you add 50% of what was previously there. How much will you have in.
Time Value of Money 1: Analyzing Single Cash Flows
Sullivan Algebra and Trigonometry: Section 6.6
8-8 Exponential Growth and Decay
How are Albert Einstein and the Rule of 72 related?
2017 Readers’ Choice Survey Results
Future Value of an Investment
How are Albert Einstein and the Rule of 72 related?
COMPOUND INTEREST Since this section involves what can happen to your money, it should be of INTEREST to you! 
How are Albert Einstein and the Rule of 72 related?
How are Albert Einstein and the Rule of 72 related?
COMPOUND INTEREST Since this section involves what can happen to your money, it should be of INTEREST to you! 
COMPOUND INTEREST Since this section involves what can happen to your money, it should be of INTEREST to you! 
How are Albert Einstein and the Rule of 72 related?
Compound Inverse problems
Gradients L.O. All pupils can find the gradient of linear graphs
Example 7 Investment The future value of $3000 invested for 3 years at rate r, compounded annually, is given by What interest rate will give a future value.
Presentation transcript:

Rule of 72 Mr. Roeshink – Business Operations

The Rules Explained Choice of rule The value 72 is a convenient choice of numerator, since it has many small divisors: 1, 2, 3, 4, 6, 8, 9, and 12. It provides a good approximation for annual compounding, and for compounding at typical rates (from 6% to 10%). The approximations are less accurate at higher interest rates.divisors

RateActual YearsRule of % % % % % % % % % % % % % % %

Years to Double Example Suppose the annual interest rate is 6%. How long will it take to double your money? 72 ÷ annual interest rate = years to double 72 ÷ 6 = 12 years to double *It will take 12 years to double your money

Annual Interest Rate Example If you would like to double your money in 12 years, what rate of interest will you need? The formula can be restated as: 72 ÷ years to double = annual interest rate 72 ÷ 12 = 6 *You will need 6% percent interest to double your money in 12 years

In Summary